Donna wants to draw a right triangle. She wants the hypotenuse to be 1.5 inches long and one of the legs to be 1.2 inches long. Enter the length that she must use for the second leg to form a right triangle.

Answers

Answer 1

Answer:

0.9 inches

Step-by-step explanation:

The sides of right triangles follow the Pythagorean Theorem:

a² + b² = c²

"a" and "b" are the two shorter sides and "c" is the hypotenuse, the longest side.

Let's plug in what we know.

a² + b² = c²

(1.2)² + b² = (1.5)²

Let's solve the exponents.

1.44 + b² = 2.25

Subtract 1.44 from both sides.

b² = 0.81

Take the square root of both sides.

√b² = √0.81

b = 0.9

The second side will be 0.9 inches.


Related Questions

HELP me with this work please

Answers

Answer:

135in^3

Step-by-step explanation:

12 men can plant the paddy in a rupandehi of field in 10 hours how many men are required to plan the same in 6 hours only​

Answers

Answer:

20 mens

Step-by-step explanation:

12 men can plant paddy in 10 hours

1 man can plant the paddy in (10 × 12) hours

10 × 12 / 6 = 20

If you borrow $900 for 4 years at an
annual interest rate of 5%, how
much will you pay altogether?

Answers

Answer:

$995.04

Step-by-step explanation:

You pay $20.73 every month. $20.73 x 48 = $995.04

Answer:

i am going to assume that for interest you mean simple interest.

900*5%*4=180

180+900=1080.

if you mean compound interest...

900*(1+5%)^4=1094.0 (1.d.p)

How much shorter of a kiloliter is 498 Litre?​

Answers

Answer:

hi

Step-by-step explanation:

Answer:498000

Step-by-step explanation:

#2Need help ???!!! For an exam. Please don’t send any links !!! Cannot open. Thank you and answer below please and thank!

Answers

The answer should be .227 the third answer!

Hope this help and good luck on the final:)

4 points
1. In which economic system are the factors of production privately
owned? *
Capitalism
Socialism
Command
O Confucianism
4 points
*
what is the government's role?

Answers

Answer:

Capitalism

Step-by-step explanation:

It's characterised by private ownership of the means of production.

Indicate the answer choice that best completes the statement or answers the question.
Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.
30 is what percent of 60?
A 200%
ь. 50%
c. 90%
d 18%

Answers

Answer:

no.D) 18% is the answer of this question

1. The amount of time Mr. Smith spends exercising each day is
approximately normally distributed with a mean of 30 minutes and a
standard deviation of 10 minutes. On approximately what percent of the
days in a year does Mr. Smith exercise for between 10 minutes and 40
minutes?

Answers

Answer:boy

Step-by-step explanation:boy

Mr. Smith exercises for between 10 and 40 minutes on 77.45 percent of the days in a year.

Given that his exercising time follows a normal distribution with a mean of 30 minutes and a standard deviation of 10 minutes.

Here we have to find the percentage of days in a year that Mr. Smith exercises for between 10 and 40 minutes,

First, we need to standardize the values of 10 and 40 minutes using the formula,

⇒ z = (x - μ) / σ

where x is the value we want to standardize,

μ is the mean,

And σ is the standard deviation.

For x = 10:

⇒ z = (10 - 30) / 10

       = -2

For x = 40:

⇒ z = (40 - 30) / 10

      = 1

Now, we need to find the probability of Mr. Smith exercising between -2 and 1 standard deviations from the mean.

We can use a standard normal distribution table or a calculator to find this probability.

Using a standard normal distribution table,

we can find the probability of z being between -2 and 1 is about 0.7745. This means that on approximately 77.45% of the days in a year, Mr. Smith exercises for between 10 and 40 minutes.

Therefore,

Mr. Smith exercises for between 10 and 40 minutes on approximately 77.45% of the days in a year.

Learn more about the percent visit:

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What is the converse of the statement below?
“If today is Friday, then tomorrow is Saturday."

Answers

Answer:

C (Sorry if its incorrect)

Step-by-step explanation:

I believe its C

Becuase a converse is switching the hypothis and conclusion around

the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards

Answers

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62  = 192 (OK!)

Please Help! Lateena solved an equation. Explain why or why not her solution is correct.

Answers

Answer:

Actually her answer is wrong because it's a quodratic equation.

solve the quadratic equation by completing the square: 6x²-11x-10=0 ​

Answers

Step-by-step explanation:

6x² - 11x - 10 =0{use splitting middle term method} -60x²

| |

-4. +15

(6x² - 4x) (15x - 10)2x( 3x - 2 ) +5( 3x - 2)(2x + 5) (3x - 2)2x = -5 or 3x = 2x = -5 or x = 2

there fore x = 2

What is the sum of the measures of angles 3,4,5?

Answers

Answer:

It's equal to 3² + 4² + 5² = 9 + 16 + 25 = 50

How many mL (milleters) are in 12.9 liters?

1. 129 mL
2. 1,290 mL
3. 12,900 mL
4. 129,000 mL


please help ASAP!

Answers

Given statement solution is :-12.9 liters are in milleters is  12,900 mL.

The metric system uses millilitres as the unit of volume, denoted by the letters ml or mL. One cubic centimetre, or one thousandth of a litre, is equivalent to one millilitre. That's a little sum in the imperial system.

A measure of volume in the metric system. One thousand milliliters equal one liter. Additionally known as cc, mL, and cubic centimetre.

To convert liters to milliliters, you need to multiply the number of liters by 1,000, since there are 1,000 milliliters in a liter.

So, multiplying 12.9 by 1,000 will give you the answer to how many millilitres are in 12.9 litres:

12.9 litres x litres per 1,000 = 12,900 mL

Therefore, option 3: 12,900 mL, is the milleters right response.

For such more questions on milleters

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R.
A circle has a diameter of 6 inches.
Show your work to find the following (use
3.14 for pi):
A) Area of the circle
B) Circumference of the circle
FIND THE VALUES FOR ANGLES A, B, C,
CuOUL/CYPLAIN YOUR

Answers

Answer: A IS CORRECT

Step-by-step explanation:

Add the following and simplify if possible.

Answers

Answer:

2x+3

Step-by-step explanation:

(05.02)A farmer has decided to divide his land area in half in order to plant soy and corn Calculate the area of the entire area so he knows how much soil is needed. SOY #6 yards 6 yards CORN 2.5 yards 6.5 yards Each bag of soil covers 15 Square yards. How many bags should the farmer purchase? 0 1 bag O2 bags O 3 bags 4 bags​

Answers

9514 1404 393

Answer:

  4 bags -- the correct answer is marked

Step-by-step explanation:

The area of a parallelogram is given by the formula ...

  A = bh

where b is the base length and h is the height.

Here, the base is the sum of lengths 2.5 yd and 6.5 yd. The height is given as 6 yd. So, the area is ...

  A = (2.5 yd + 6.5 yd)(6 yd) = 54 yd²

At 15 yd² per bag, the farmer will need ...

  (54 yd²)/(15 yd²/bag) = 3 3/5 bags

Assuming the farmer can purchase only whole bags, the farmer should purchase 4 bags of soil.

The farmer should purchase 4 bags.

The area of the land is 54 square yards ((6.5+2.5)*6=54). To find out how many bags he’ll need, you want to divide the area by how much a bag of soil covers (54/15=3.6), and then you’ll round up to ensure he’ll have enough (3.6 becomes 4)

There are two tables shown below. Which table shows a constant rate?

Answers

Answer:

Option B

Step-by-step explanation:

To calculate the rate of the table is given by the expression,

Rate = [tex]\frac{\triangle y}{\triangle x}[/tex]

For table A,

    x              y                 [tex]\triangle y[/tex]                   [tex]\triangle x[/tex]          [tex]\frac{\triangle y}{\triangle x}[/tex]

    2             10                 -                       -              -

    3             15           15 - 10 = 5        3 - 2 = 1      [tex]\frac{5}{1}=5[/tex]

    5             20          20 - 15 = 5       5 - 3 = 2     [tex]\frac{5}{2}=2.5[/tex]

    8             25          25 - 20 = 5      8 - 5 = 3     [tex]\frac{5}{3}=1.67[/tex]

Therefore, rate is not constant in this table.

For table B

    x              y                 [tex]\triangle y[/tex]                   [tex]\triangle x[/tex]          [tex]\frac{\triangle y}{\triangle x}[/tex]

    3              9                 -                       -              -

    5             15           15 - 9 = 6        3 - 5 = 2      [tex]\frac{6}{2}=3[/tex]

    8             24          24 - 15 = 9       8 - 5 = 3     [tex]\frac{9}{3}=3[/tex]

   10             30          30 - 24 = 6     10 - 8 = 2     [tex]\frac{6}{2}=3[/tex]

Therefore, table B shows a constant rate of 3.

Option B is the correct option.

       

Help with Math Question 1

Answers

Answer:

Step-by-step explanation:

X is also 67°  Like the interior angle

h
If the original principal of Jimmy
Christensen's account balance today
is $3,450.00, the balance after 2 years is
$3,485.95, and he made no other deposits,
how much interest did he earn?
A $123.95
B $34.95
C $3,485.95
D$35.95

Answers

It would be C. It’s the most valuable answer to the equation. I did my caclucations

Suppose we have two thermometers. One thermometer is very precise but is delicate and heavy (X). We have another thermometer that is much cheaper and lighter, but of unknown precision (Y). We would like to know if we can (reliably) bring the lighter thermometer with us into the field. So, we set up an experiment where we expose both thermometers to 31 different temperatures and measure the temperature with each. We get the following observations

x = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120
y = 0.02, 3.99, 7.91, 12.03, 16.09, 20.00, 23.98, 28.09, 31.94, 36.03, 40.00, 44.05, 47.95, 52.00, 55.87, 59.90, 63.91, 67.95, 72.11, 76.02, 80.01, 84.10, 88.06, 91.74, 96.02, 99.95, 103.87, 108.01, 111.99, 116.04, 120.03

We want to decide if these thermometers seem to be measuring the same temperatures. Let's use the thershold α= 0.1.

Required:
Write down the appropriate hypothesis tests for β1.

Answers

Answer:

a)H0: β1= 1 and Ha: β1 ≠1

b) The test statistic is____.t= b- β/ sb

c) The p-value is____.0.999144

(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.    

The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.

Step-by-step explanation:

This is called testing hypotheses about β, the population regression co efficient.

The null and alternate hypotheses are

H0: β1= 1 and Ha: β1 ≠1

The significance level is ∝=0.1 and ∝/2 is 0.05

The critical region at t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699

The test statistic is

t= b- β/ sb

which has t distribution with υ= 31-2= 29 degrees of freedom.

Calculations

Ŷ = a +bX

b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²

b = 39671.6/39680= 0.9998

a = y` - bx`

x`= 60

y`= 59.989

a = 59.989 -0.9998*60 = 0.001734

Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965

Syx= 36.9822

Sb= Syx/ √∑  (x-x`)²

Sb= 36.9823/ √39680

Sb= 36.9823/ 199.984

Sb= 0.18493

x-x`                 y-y`                    (x-x`)²     (x-x`)(y-y`)

-60                 -59.969            3600              3598.1419

-56                  -55.999           3136          3135.9458

-52                 -52.079             2704          2708.1097

-48                -47.959              2304           2302.0335

-44                 -43.899              1936          1931.5574

-40                -39.989               1600          1599.5613

-36              -36.009                1296            1296.3252

-32               -31.899              1024              1020.769

-28               -28.049             784                785.3729

-24                -23.959             576               575.0168

-20               -19.989             400                  399.7806

-16                 -15.939            256                  255.0245

-12               -12.039             144                    144.4684

-8                  -7.989             64                       63.9123  

-4                 -4.119                16                      16.4761

0                 -0.08903           0                         0

4                  3.921              16                      15.6839

8                7.961                64                       63.6877

12                12.121             144                     145.4516

16                16.031             256                   256.4955

20               20.021           400                  400.4194

24               24.111              576                   578.6632

28                28.071           784                     785.9871

32                 31.751            1024                    1016.031

36               36.031           1296                    1297.1148

40                39.961          1600                    1598.4387

44                43.881           1936                     1930.7626

48               48.021           2304                     2305.0065

52              52.001             2704                     2704.0503

56             56.051              3136                       3138.8542

60            60.041                3600                     3602.4581

∑0          0                 39680 (SSx)     39671.6 (SPxy)

Putting the values

The test statistic is

t= b- β/ sb

t= 0.9998-1/ 0.18493

t=-0.0010815

Since the calculated t=-0.0010815  does not lie in the critical region  t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.

The p-value is  ≈ 0.999144

there is not enough evidence to reject the null hypothesis.    

According to the 2010 Census information, 13.6% of those living in Lucas County are living in poverty. A random sample of 489 people living in Lucas County yielded that 16% of them report living in poverty. Test the claim that the poverty rate has increased since 2010. The level of significance is 0.10. c. Suppose the p-value is 0.085. State the conclusion of this test.

Answers

Answer:

Option b .

Step-by-step explanation:

Given that

The 13.6% represent the people living in property

There is a random sample of 489 people in that 16% of them would be in poverty

The significance level is 0.10

ANd, the p value is 0.085

We need to find out the conclusion

According to the attached options, we considered that there is enough evidence in order to support the claim that result in rise in the poverty rate

What is the constant of proportionality for the table below?

Answers

Answer:

Equation:y = 1/2x .  or x = 2y

Constant = 2

Step-by-step explanation:

Input y = output x

the first input/output says that when inputed 2, the number 1 is outputted.

Similarly, when 5 is inputted, 2.5 is the output.

1/2 = 2.5/5

That means that y = 1/2 x

or x = 2y

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which of the following graphs is the same as y = log1/2x?

Answers

Answer:

x=2^-y

A

Step-by-step explanation:

x | y

1 | 0

2 | -1

4 | -2

Given: cosθ= 4/5


Find: sin2θ

Answers

Answer:

cos theta=4/5

b/h=4/5

b=4 and h=5

p=?

H^2=P^2+B^2

5^2=P^2+4^2

25-16=P^2

9=P^2

[tex]\sqrt{9}[/tex]=P

3=P

Now,

sin2theta

=p/h2

=3/5*2

=9/5

Step-by-step explanation:

Answer:

About 36.87 degrees; sinθ=3/5

Step-by-step explanation:

Note: I made an assumption with the Find: sin2θ part of your question, as it turned up as invalid when working on it on my end. Therefore, I assumed that it was sinθ. If it was something else, tell me and I can correct the answer/content.

Since within a triangle there are three sides when solving an angle, being opposite, adjacent and hypotenuse.

By already having cosθ=4/5. the rest of the problem can be solved. Since cosine is adjacent over hypotenuse, we can use the Pythagorean Theorem, solving for one of the legs of the triangle with:

c^2-b^2=a^2

Now, just plug in c as the 5 (the hypotenuse) and b as 4 (one of the legs).

5^2-4^2=a^2

25-16=a^2

9=a^2

a=3

The other leg is 3. With this, 3 would be the opposite angle from sin 20. Therefore, it can be plugged in the sine equation to get the answer. Remember, sine is Opposite/Hypotenuse.

sinθ=3/5

Move over the sine to then opposite side, inverse it:

θ=sin-1 3/5

Use a calculator.

θ = about 36.87 degrees.

(5x + 10) + (2x -3) =

Answers

Answer:

16

Step-by-step explanation:

I think sorry if I'm wrong

Answer: 7x+7

Step-by-step explanation:1

Eliminate redundant parentheses

(5x+10)+(2x-3)

(5x+10)+(2x−3)

5x+10+2x-3

5x+10+2x−3

2

Subtract the numbers

5x+10+2x−3

5x+7+2x

Combine like terms

5x+7+2x

 

7x+7

Solution

7x+7

The number six and twelve-hundredths in decimal numbers?

Answers

Answer:

12.06

Step-by-step explanation:

Plz help me well mark brainliest if correct!!...

Answers

9514 1404 393

Answer:

  B)  fifth grade boys

Step-by-step explanation:

55 tickets is halfway between the lines marked 50 tickets and 60 tickets. The bar that comes closest to that value is the right-most green bar, representing ...

  fifth-grade boys

What is the domain for √(3x-3)? *

all real numbers except x=1
all real numbers for x≥1
all real numbers for x≥0
all real numbers except x=0

Answers

Domain and range are both
R
Explanation:
Note that your equation describes a line, since it is a polynomial of first degree. As a general result, every non-constant line has domain
R
and range
R
as well.
The domain is
R
because a line is, in particular, a polynomial, and every polynomial can be computed for every
x
.
The range is
R
because a non-constant line is either always growing or decreasing at a constant rate.
This means that, for every line, you always have one of this two situations:
lim
x




f
(
x
)
=


,

lim
x



f
(
x
)
=

or
lim
x




f
(
x
)
=

,

lim
x



f
(
x
)
=


and since every polynomial is continuous, it spans all the possible values from its minimum to its maximum. In other words, every line spans all the possible values from


to

, which means all the real number, thus the range is
R
.

What is the interquartile range?
133, 147, 118, 129, 115, 140
Pls help I don’t know

Answers

the interquartile range is 22
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