I NEED THE ANSWER AS SOON AS POSSIBLE PLEASE!!​

I NEED THE ANSWER AS SOON AS POSSIBLE PLEASE!!

Answers

Answer 1

Answer:

[tex]\Large \boxed{\sf \ \ 4\sqrt{a^2+b^2} \ \ }[/tex]

Step-by-step explanation:

Hello,

You can use Pythagoras in the 4 right triangles.

For one triangle it comes [tex]\sqrt{a^2+b^2}[/tex].

Then for the polygon it gives [tex]4\cdot \sqrt{a^2+b^2}[/tex].

Hope this helps.

Do not hesitate if you need further explanation.

Thank you


Related Questions

A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs revealed the following sample information. At the 0.10 significance level, is there a relationship between job pressure and age.
(Round your answers to 3 decimal places.)
Degree of Job Pressure
Age (years) Low Medium High
Less than 25 25 27 20
25 up to 40 49 53 40
40 up to 60 59 59 52
60 and older 35 42 44
H0: Age and pressure are not related. H1: Age and pressure are related.
Reject H0 if X2 > .
X2=
(Click to select)Reject Do not reject H0. Age and pressure (Click to select)areare not related.

Answers

Answer:

Reject H0

Age and pressure are related

Step-by-step explanation:

The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value. In the given scenario we reject the null hypothesis because job pressure and age are related to each other.

find the maximum value of c=6x+2y

Answers

Answer:

  ∞

Step-by-step explanation:

c can have any value you like.

There is no maximum. We say it can approach infinity.

__

Additional comment

There may be some maximum imposed by constraints not shown here. Since we don't know what those constraints are, we cannot tell you what the maximum is.

how many terms are in the expression 6y+3+y+4y+5​

Answers

Answer:

  5

Step-by-step explanation:

The 5 terms in the expression are ...

  6y

  3

  y

  4y

  5

__

If like terms were combined, the expression could be reduced to one with 2 terms:

  11y +8

Answer:

5 terms

Step-by-step explanation:

In an expression, a term can be a number, a variable, or a number and variable multiplied together. Terms are separated by addition or subtraction.

In the expression:

6y+3+y+4y+5

There are 5 terms. The 5 terms are:

1. 6y

2. 3

3. y

4. 4y

5. 5

We can simplify this expression by combining like terms. We can add the constants (just numbers) and the terms with variables being multiplied by numbers.

6y+3+y+4y+5

(6y+y+4y)+(3+5)

11y+(3+5)

11y+8

Which of the following box plot best represents the set of data below

Answers

Answer:

C. Box plot B

Step-by-step explanation:

According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are going in their lives is 0.82. What is the probability the sample proportion who are satisfied with the way things are going in their life is greater than 0.85

Answers

Complete Question

According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are going in their lives is 0.82. Suppose a random sample of 100 Americans is asked "Are you satisfied with the way things are going in your life?"

What is the probability the sample proportion who are satisfied with the way things are going in their life is greater than 0.85

Answer:

The probability is  [tex]P(X > 0.85 ) = 0.21745[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is [tex]p = 0.82[/tex]

   The value considered is  x  =  0.85

     The  sample size is  n = 100

The standard deviation for this population proportion is evaluated as

        [tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]

substituting values

       [tex]\sigma = \sqrt{\frac{0.82(1-0.82)}{100} }[/tex]

      [tex]\sigma = 0.03842[/tex]

Generally the probability that probability the sample proportion who are satisfied with the way things are going in their life is greater than x is mathematically represented as

       [tex]P(X > x ) = P( \frac{X - p }{ \sigma } > \frac{x - p }{ \sigma } )[/tex]

Where  [tex]\frac{X - p }{ \sigma }[/tex] is  equal to Z (the  standardized value of X ) so  

         [tex]P(X > x ) = P( Z> \frac{x - p }{ \sigma } )[/tex]

substituting values

        [tex]P(X > 0.85 ) = P( Z> \frac{ 0.85 - 0.82 }{ 0.03842 } )[/tex]

        [tex]P(X > 0.85 ) = P( Z> 0.78084)[/tex]

from the standardized normal distribution table [tex]P( Z> 0.78084)[/tex] is  0.21745

So  

      [tex]P(X > 0.85 ) = 0.21745[/tex]

Question 3
Which of the following best describes the solution to the system of equations below?

-6x + y=-3
7x-y=3
The system of equations has exactly one solution where x = 6 and y = 3.
The system of equations has no solution.
The system of equations has infinitely many solutions.
The system of equations has exactly one solution where x = 0 and y=
-3​

Answers

Answer:

The system has exactly one solution where x = 0 and y = -3.

Step-by-step explanation:

-6x + y = -3

7x - y = 3

(7x - 6x) + (y - y) = 3 - 3

x + 0 = 0

x = 0

7(0) - y = 3

0 - y = 3

-y = 3

y = -3

-6(0) + y = -3

0 + y = -3

y = -3

So, the system has exactly one solution where x = 0 and y = -3.

Hope this helps!

An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 240240 engines and the mean pressure was 7.57.5 pounds/square inch (psi). Assume the population standard deviation is 1.01.0. The engineer designed the valve such that it would produce a mean pressure of 7.67.6 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.10.1 will be used. Find the P-value of the test statistic. Round your answer to four decimal places.

Answers

Answer:

p-value = 0.1213  (to 4-decimal places)

Step-by-step explanation:

Given:

N = 240

mean  = 7.5

s = 1.0

Solution

With N=240 and using the central limit theorem, distribution can be approximated as normal.

Let

Null hypothesis H0, mu = 7.6

Alternate hypothesis, mu not equal to 7.6  (two-tail test)

for

Alpha = 0.1 (two sided)

Z = sqrt(N)(mean – mu)/s = sqrt(240)(7.5-7.6)/1.0 = -1.54919

p-value  

= P(|Z|>1.54919)  

= 2P(Z>1.54919)

= 2(1-P(Z<1.54919)

=2(1-0.9393)     (using normal distribution table)

=0.12134

Since alpha = 0.1 < p-value (0.1213), H0 that mean = 7.6 is not rejected.

When a person throws a ball into the​ air, it follows a parabolic path that opens downward as shown in the figure to the right. Suppose that the​ ball's height in feet after t seconds is given by ​h(t)=-16t^2+32t+2. If​ possible, determine the​ time(s) when the ball was at a height of 14 feet.

Answers

Answer:

0.5 seconds and 1.5 seconds.

Step-by-step explanation:

h(t) = -16t^2 + 32t + 2

14 = -16t^2 + 32t + 2

16t^2 - 32t - 2 + 14 = 0

16t^2 - 32t + 12 = 0

8t^2 - 16t + 6 = 0

4t^2 - 8t + 3 = 0

(2x - 3)(2x - 1) = 0

2x - 3 = 0

2x = 3

x = 3/2

x = 1.5

2x - 1 = 0

2x = 1

x = 1/2

x = 0.5

So, the ball was at 14 feet at 0.5 seconds and 1.5 seconds.

Hope this helps!

Help with inequality

Answers

Answer:

1. x>20   2. x≤1     3.x<4     4.x>9      5.x≥-13

NEED HELP AS SOON AS POSSIBLE which interval describes where the graph of the function is negative

Answers

Answer:

2 < x < ∞

Step-by-step explanation:

We want where the value of y is less than zero

The value of the graph is  less than zero is from x=2 and continues until x = infinity

2 < x < ∞

Answer:

[tex]\boxed{2 < x < \infty}[/tex]

Step-by-step explanation:

The value of y should be less than 0 for the graph of the function to be negative.

In the graph, when it startes from x is 2 the value becomes less than 0 and it keeps continuing until x is equal to infinity.

[tex]2 < x < \infty[/tex]

A Car Salesman sold $450000.00 in cars for the month of July.
He is paid a monthly salary of $6000.00 and 5% commission on
total sales. How much did he earn in July?​

Answers

Answer:

$28,500

Step-by-step explanation:

$6,000 + 5% of $450,000 =

= $6,000 + 0.05 * $450,000

= $6,000 + $22,500

= $28,500

$450,000 x 0.05 = $22,500
$22,500 + $6000 = $28,500
Therefore he earned $28,500 in July.

What is the equation of the line perpendicular to y=5x-3 that passes through the point (3, 5)?

Answers

Answer:

[tex]y=-\frac{1}{5}x\ +\ 5.6[/tex]

Step-by-step explanation:

Hey there!

Well the slope of the perpendicular line is -1/5 because that's the reciprocal of 5.

Look at the image below ↓

By looking at the image we can conclude that the equation for the perpendicular line is,

[tex]y=-\frac{1}{5}x\ +\ 5.6[/tex].

Hope this helps :)

Answer:

[tex]\boxed{y=-\frac{1}{5}x+\frac{28}{5}}[/tex]

Step-by-step explanation:

Part 1: Finding the new slope of the line

Perpendicular lines have reciprocal slopes of a given line - this means that the slope you are given in the first equation will be flipped and negated.

Because the slope is 5 in the first line, it gets flipped to become [tex]-\frac{1}{5}[/tex].

Part 2: Using point-slope formula and solving in slope-intercept form

Input the new slope into the slope-intercept equation: [tex]y=mx+b[/tex]. This results in [tex]y=-\frac{1}{5} x+b[/tex].

Then, use the point-slope equation to get b, or the y-intercept of the equation.

[tex](y-y_{1})=m(x-x_{1})[/tex]

[tex](y-5)=-\frac{1}{5}(x-3)\\\\y-5=-\frac{1}{5}x+\frac{3}{5} \\\\y=-\frac{1}{5}x+\frac{28}{5}[/tex]

A basketball team plays half of its games during the day and half at night. Ten scores from day games and ten scores from night
games were randomly selected by the team's statistician. The following statistical information was calculated from the final game
scores.
Day Night
Mean 58 72
Median 46 63
Mode 50. 70
Range 21 33

Based on these samples, what generalization can be made?
A. The basketball team scored the same number of points in day games as night games.
OB. The basketball team scored more points in night games than in day games.
OC. The basketball team scored more points in day games than in night games.
OD. Not enough information is provided to draw any of these conclusions,

Answers

Option B

Because the average points scored in the night is more than that of the day

Identify the factors of x2 − 4x − 12.

(x + 4)(x − 3)
(x − 4)(x + 3)
(x − 2)(x + 6)
(x + 2)(x − 6)

Answers

Answer: (x+2)(x-6)

Explanation:
(x+2)(x-6) = x^2 - 6x + 2x - 12 = x^2 - 4x - 12

Answer:

(x + 2)(x - 6)

Step-by-step explanation:

We are given the equation: x² - 4x - 12. Let's factor this.

First, look at the integer factor pairs of -12:

-1, 12

-2, 6

-3, 4

1, -12

2, -6

3, -4

We would like to find a pair whose sum is -4. Inspecting each pair, we realise that only the pair 2, -6 works because 2 + (-6) = -4.

Thus, our factors are:

x + 2    (from the 2)

x - 6     (from the -6)

The factored form of our given quadratic is:

(x + 2)(x - 6)

~ an aesthetics lover

11. A certain brand of margarine was analyzed to determine the level of polyunsaturated fatty acid (in percent). A sample of 6 packages had an average of 16.98 and sample standard deviation of 0.31. Assuming normality, a 99% confidence interval for the true mean of fatty acid level is:

Answers

Answer: (16.47, 17.49)

Step-by-step explanation:

Formula for confidence interval for the true mean if population stanmdard deviation is unknown:

[tex]\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}[/tex]

, where [tex]\overline{x}[/tex] = sample mean

n= sample size

s= sample standard deviation

[tex]t_{\alpha/2}[/tex] = Two tailed critical value.

We assume that the level of polyunsaturated fatty acid is normally distributed.

Given,

n= 6

degree of freedom = n-1 =5

[tex]\overline{x}[/tex] = 16.98

s= 0.31

significance level[tex](\alpha)[/tex] =1-0.99=0.01

Two tailed t- value for degree of freedom of 5 and significance level of 0.01 = [tex]t_{\alpha/2}=4.0317[/tex]    [by student's t-table]

Now , the 99% confidence interval for the true mean of fatty acid level is:

[tex]16.98\pm 4.0317(\dfrac{0.31}{\sqrt{6}})\\\\=16.98\pm 4.0317(0.126557)\\\\=16.98\pm 0.51024\\\\=(16.98-0.51023,\ 16.98+0.51023)\\\\=(16.46977,\ 17.49023)\approx (16.47,\ 17.49)[/tex]

Hence, a 99% confidence interval for the true mean of fatty acid level is: (16.47, 17.49)

Why 200/3 doesn’t work

Answers

Answer:

it does work

i think u mean why is it not whole

but it is not a whole number

Step-by-step explanation:

200/3=66.6(6 is repeating)

for example if u have 200 chocolates and u give them to 3 people

everyone will have 66

and u will have 2 left

2/3 is also 0.66(6 repeating)

66+0.66(6repeating)

=66.66(6repeating0

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

            -ZYLYNN JADE ARDENNE

Answer:

Step-by-step explanation:

it does not work as a whole number.

but it does work in simple division with fraction.

200 / 3 = 66 and [tex]\frac{2}{3}[/tex]


Which of the following is a correct tangent ratio for the figure?

Answers

Answer:

C) tan(39°) = 11/15

Step-by-step explanation:

SohCahToa

tangent = opposite / adjacent

The given angle is 39°. The angle directly opposite of 39° is 11 and the angle adjacent to 39° is 15.

Answer:

tan(39°) = 11∕15

Step-by-step explanation:

If the image is blurry the answer choices are -1,0,1,2,and 3. The question says select each correct answer

Answers

Answer:

12

Step-by-step explanation:

There is no algebraic way to solve such an equation. It can be simplified to ...

  [tex]-2x-6=-2^x-6\\\\2x-2^x=0\qquad\text{add $2x+6$}[/tex]

This has solutions at x=1 and x=2 as shown in the attached graph.

__

The second attachment shows the functions graphed on the same graph.

Please help. I’ll mark you as brainliest if correct!

Answers

Answer:

x +0y+0z = 400

-x +y+0z = 150

-8x +0y +z = 250

Step-by-step explanation:

The last column is the solution

The rest of the columns are the coefficients of the variables

x +0y+0z = 400

-x +y+0z = 150

-8x +0y +z = 250

6.52
65.2
0.652
order it least to greatest which comes first?​

Answers

Answer:

Hey! The answer will be below!! :)

Step-by-step explanation:

In least to greatest the answer will be....

0.652, 6.52, 65.2

0.652 comes first because since the decimal point is between the 0 and 6

It’s also because 0 is less than 6 and 65.

Here is a easy way to do this, when you have this kind of question.

First look where the decimal is.

Pretend it’s a whole number like, 0.652 becomes 0

And 6.52 becomes 6, also 65.2 becomes 65

You have to use the decimal to find out least to greatest, also you will have to round the number.

So remember, when ever you have this kind of question...after the decimal point like 65.2 you take away the .2 and just have 65....this will help you do least to greatest faster! :)

Hope this helps!

Answer:

0.652, 6.52, 65.2

Step-by-step explanation:

You have to round to find the answer in a easy way.

Least to greatest would be 0.652, 6.52, 65.2

Hop it will help u

Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for carbon–14 to decay to 10 percent of its original amount? The equation for exponential decay is At = A0e–rt.


Answers

Answer:

It will take 18,569.2 years for carbon–14 to decay to 10 percent of its original amount

Step-by-step explanation:

The amount of Carbon-14 after t years is given by the following equation:

[tex]A(t) = A(0)e^{-rt}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year.

This means that [tex]r = \frac{0.0124}{100} = 0.000124[/tex]

How many years will it take for carbon–14 to decay to 10 percent of its original amount?

This is t for which:

[tex]A(t) = 0.1A(0)[/tex]

So

[tex]A(t) = A(0)e^{-rt}[/tex]

[tex]0.1A(0) = A(0)e^{-0.000124t}[/tex]

[tex]e^{-0.000124t} = 0.1[/tex]

[tex]\ln{e^{-0.000124t}} = \ln{0.1}[/tex]

[tex]-0.000124t = \ln{0.1}[/tex]

[tex]t = -\frac{\ln{0.1}}{0.000124}[/tex]

[tex]t = 18569.2[/tex]

It will take 18,569.2 years for carbon–14 to decay to 10 percent of its original amount

A cosine function is graphed below. Use the drop-down menus to describe the graph. The amplitude of the graph is __ . The equation of the midline is __ . The period of the function is __ . The function is shifted __ left. The function is shifted __ units up.

Answers

Amplitude:4

Equation of Midline: 2

Period of function:3

Function shifted left:0.5

Function shifted up: 2

From the graphed cosine function we are given, we have;

1) Amplitude = 4

2) Equation of midline; m = 2

3) Period of the function = 3π

4) The function shifted 0.5 units left.

5) The function shifted 2 units up.

1) The amplitude is the distance between the center line and the positive or negative peak of the graph. Now, the positive peak is 6 and the negative one is 2. Thus, Amplitude = 6 - 2 = 4

2) Equation of the midline is the line that divides the entire sinusoidal curve into 2 equal parts along the x-axis. Since amplitude is 4, then the equation of midline is; m = 4/2 ; m = 2.

3) The period is the time it takes for the graph to repeat or complete one cycle and in this graph, it is 3π.

4) Looking at the graph, ideally the coordinate (-0.5π, 6) should have been on the y-axis which is at (0π, 6). This means it was shifted by 0.5 units to the left side.

5) The positive peak should be equal to the negative peak but in this case, positive is 6 and negative is 2. This means, for them to be equal, they have to each be 4. Thus, the graph was shifted by 2 units upwards .

Read more; https://brainly.com/question/16280305

Find the volume of each solid. Round to the nearest tenth. IMG_7097.HEIC

Answers

Answer:

You didn't put an attachment to show what solid you wanted rounded

Step-by-step explanation:

11) $ 8,000 is invested in an account that yields 6% interest per year. After how many years will the account be worth 13709.60$ if the interest is compounded monthly?

Answers

Answer:

[tex]\large \boxed{\sf \ \ 9\text{ years} \ \ }[/tex]

Step-by-step explanation:

Hello,

First of all, a few remarks:

>>> 1 year is 12 months, right?

>>> Monthly compounding means that each month we compute the interest and they will be included in the investment for the next month.

>>> 6% is an interest per year, it means that to compute the interest for 1 month we need to compute by 6% multiplied by [tex]\dfrac{1}{12}[/tex]

Let's do it !

At the beginning, we have:

   $8,000

After 1 month, we will have:

   [tex]8000 + 8000\cdot \dfrac{6\%}{12}=8000\cdot (1+ \dfrac{6}{1200})= 8000\cdot (1+ \dfrac{1}{200})[/tex]

After 2 months, we will have:

   [tex]8000\cdot (1+ \dfrac{1}{200})\cdot (1+ \dfrac{1}{200})=8000\cdot \left(1+ \dfrac{1}{200}\right)^2[/tex]

After n months, we will have

   [tex]8000\cdot \left(1+ \dfrac{1}{200}\right)^n=8000\cdot \left(1.005\right)^n[/tex]

We are looking for n such that

   [tex]8000\cdot \left(1.005\right)^n=13709.60\\\\ln(8000)+ n\cdot ln(1.005)=ln(13709.60)\\\\\\n = \dfrac{ln(13709.60)-ln(8000)}{ln(1.005)}=108[/tex]

So, we need 108 months to reach this amount, which means 108/12=9 years.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3(x+4)-1=-7 plz help

Answers

Answer:

x = -6

Step-by-step explanation:

3(x+4)-1=-7

Add 1 to each side

3(x+4)-1+1=-7+1

3(x+4)=-6  

Divide by 3

3/3(x+4)=-6/3

x+4 = -2

Subtract 4 from each side

x+4-4 = -2-4

x = -6

Answer:

- 6

Step-by-step explanation:

[tex]3(x + 4) - 1 = - 7[/tex]

Distribute 3 through the parentheses

[tex]3x + 12 - 1 = - 7[/tex]

Calculate the difference

[tex]3x + 11 = - 7[/tex]

Move constant to R.H.S and change it's sign

[tex]3x = - 7 - 11[/tex]

Calculate

[tex]3x = - 18[/tex]

Divide both sides of the equation by 3

[tex] \frac{3x}{3} = \frac{ - 18}{3} [/tex]

Calculate

[tex]x = - 6[/tex]

hope this helps

Best regards!!

find 10th term of a geometric sequence whose first two terms are 2 and -8. Please answer!!

Answers

Answer:

The 10th term is -524,288

Step-by-step explanation:

The general format of a geometric sequence is:

[tex]a_{n} = r*a_{n-1}[/tex]

In which r is the common ratio and [tex]a_{n+1}[/tex] is the previous term.

We can also use the following equation:

[tex]a_{n} = a_{1}*r^{n-1}[/tex]

In which [tex]a_{1}[/tex] is the first term.

The common ratio of a geometric sequence is the division of the term [tex]a_{n+1}[/tex] by the term [tex]a_{n}[/tex]

In this question:

[tex]a_{1} = 2, a_{2} = -8, r = \frac{-8}{2} = -4[/tex]

10th term:

[tex]a_{10} = 2*(-4)^{10-1} = -524288[/tex]

The 10th term is -524,288

Which expression is equivalent to the expression below? StartFraction 6 c squared + 3 c Over negative 4 c + 2 EndFraction divided by StartFraction 2 c + 1 Over 4 c minus 2 EndFraction StartFraction 3 c (2 c minus 1) Over 2 c + 1 EndFraction StartFraction negative 3 c (2 c + 1) squared Over 4 (2 c minus 1) squared EndFraction 3c –3c

Answers

Answer:

its D. -3c

Step-by-step explanation:

just took the test

The expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c

The fraction we are given to work with is;

[(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)]

Simplifying the fraction equation by factorization gives:

[3c(2c + 1)/(-2(2c - 1))] ÷ [(2c + 1)/(2(2c - 1)]

Now, in division of fractions, we know that;

3/2 ÷ 1/5 is the same as; 3/2 × 5/1

Applying this same method to our question gives;

[3c(2c + 1)/(-2(2c - 1))] × [(2(2c - 1)/(2c + 1)]

2(2c - 1) is common and will cancel out to get; 3c(2c + 1)/(-1/(2c + 1))

2c + 1 is common and will cancel out to get;  -3c

Read more about simplification of fractions at;https://brainly.com/question/6109670

Which represents the value of c?

Answers

You guy correct that is the answer the second opinion

Step by step below


Hopefully this help you :)

6th grade math , help me please :)

Answers

Answer:B

Step-by-step explanation:

Penyelesaian
0.02 m: 3 cm: 4.6 cm = 2 cm : 3 cm: 4.6 cm
= 2 : 3 : 4.6
20 : 30 : 46
10 : 15
23
Latih Diri 4.1a
1. Wakilkan hubungan antara tiga kuantiti berikut dalam bentuk a : b:c.
(a) 2 minggu kepada 16 hari kepada 1 minggu
(b) 0.1 kg kepada 50 g kepada 0.25 kg
(c) 4 minit kepada 120 saat kepada 1.6 jam
(d 3 m kepada 480 cm kepada 6 400 mm
2. Tahir membayar RM5.60 untuk sepinggan nasi beriani, RM1.20 untuk segelas teh
dan 30 sen untuk sekeping kuih. Wakilkan hubungan harga bagi nasi beriani, teh dan
kuih dalam bentuk a:b:c.
76
BAB 4​

Answers

Answer:

a:b:c

1a) 14:16:7

b) 2:1:5

c) 2:1:48

d) 15:24:32

2) 56:12:3

Step-by-step explanation:

Untuk membentuk nisbah tiga kuantiti, pertama-tama kita menukar masing-masing menjadi unit yang sama.

a) 2 minggu hingga 16 hari hingga 1 minggu

Menukar semuanya menjadi bilangan hari, kerana ia sangat setanding.

2 minggu = 14 hari

16 hari = 16 hari

1 minggu = 7 hari

2 minggu hingga 16 hari hingga 1 minggu = 14 hari hingga 16 hari hingga 7 hari

14: 16: 7

b) 0.1 kg hingga 50 g hingga 0.25 kg

Menukar semua menjadi gram

= 100 g hingga 50 g hingga 250 g

= 100: 50: 250

Bahagikan dengan 50

= 2 : 1 : 5

c) 4 minit hingga 120 saat hingga 1.6 jam

Menukar semua menjadi beberapa saat

= 240 saat hingga 120 saat hingga (1.6 × 60 × 60) saat

= 240 saat hingga 120 saat hingga 5,760 saat

= 2: 1: 48

d) 3 m hingga 480 cm hingga 6 400 mm

Menukar semua ini menjadi mm

= 3000 mm hingga 4800 mm hingga 6400 mm

Membahagi hingga 200 mm

= 15:24:32

2) RM5.60 hingga RM1.20 hingga 30 sen

Menukar semuanya kepada sen

= 560 sen hingga 120 sen hingga 30 sen

Membahagi hingga 10

= 56: 12: 3

Semoga ini Membantu !!!

English Translation

Solution

0.02 m: 3 cm: 4.6 cm = 2 cm: 3 cm: 4.6 cm = 2: 3: 4.6

20:30:46

10:15:23

Self Training 4.1a

1. Represent the relationship between the following three quantities in the form a: b: c.

(a) 2 weeks to 16 days to 1 week

(b) 0.1 kg to 50 g to 0.25 kg

(c) 4 minutes to 120 seconds to 1.6 hours

(d) 3 m to 480 cm to 6 400 mm

2. Tahir pays RM5.60 for a plate of beriani rice, RM1.20 for a glass of tea and 30 cents for a piece of cake.

Represent the price relationship for beriani rice, tea and cake in the form of a: b: c.

Solution

To form a ratio of three quantities, we first convert each of them to the same units.

a) 2 weeks to 16 days to 1 week

Converting all of it to number of days, as itnis very comparable.

2 weeks = 14 days

16 days = 16 days

1 week = 7 days

2 weeks to 16 days to 1 week

= 14 days to 16 days to 7 days

14 : 16 : 7

b) 0.1 kg to 50 g to 0.25 kg

Converting all into grams

= 100 g to 50 g to 250 g

= 100 : 50 : 250

Divide through by 50

= 2 : 1 : 5

(c) 4 minutes to 120 seconds to 1.6 hours

Converting all into seconds

= 240 seconds to 120 seconds to (1.6×60×60) seconds

= 240 seconds to 120 seconds to 5,760 seconds

= 2:1:48

(d) 3 m to 480 cm to 6 400 mm

Converting all of this to mm

= 3000 mm to 4800 mm to 6400 mm

Dividing through by 200 mm

= 15:24:32

2) RM5.60 to RM1.20 to 30 cents

Converting it all to cents

= 560 cents to 120 cents to 30 cents

Dividing through by 10

= 56:12:3

Hope this Helps!!!

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