Using first the customary ruler and then the metric ruler, measure the length of the side of the wooden block. Remember to estimate to one place value beyond the rulers’ gradations.

Step-by-step explanation:

Hey, there!

As it is a Right angled triangle, taking reference angle as angle B.

hypotenuse (h)= AB

perpendicular (p)= 12

base (b)= 24.

Now, let's look which ratio can be used here as p and b are given. Let's use tan ratio here.( as tan = p/b)

[tex] \tan(theta) = \frac{p}{b} [/tex]

[tex]tan(theta) = \frac{12}{24} [/tex]

[tex] \tan(theta) = \frac{1}{2} [/tex]

or, tan theta = (0.5)

Shifting tan to right side making it inverse.

or, theta = tan inverse (0.5)

Therefore, theta = 26.56° or 27° { by rounding off 26.56° we get 27°}.

Hope it helps......

Answer:

14 boys paid for the full year fee and 4 boys paid for the partial year fee

Step-by-step explanation:

Create a system of equations, where x is the number that paid for the $24 fee and y is the number that paid for the $16 fee:

24x + 16y = 400

x = y + 10

Solve by substitution by plugging in y + 10 as x:

24x + 16y = 400

24(y + 10) + 16y = 400

Solve for y:

24y + 240 + 16y = 400

40y + 240 = 400

40y = 160

y = 4

Then, plug in 4 as y to find x:

x = y + 10

x = 4 + 10

x = 14

So, 14 boys paid for the full year fee and 4 boys paid for the partial year fee.

Answer:

7 times greater

Step-by-step explanation:

This is because 84 divided by 12 is 7, so i guess that is your answer.

hope this helps

Answer:

2 root 3 (b)

Step-by-step explanation:

root 27 -root 3

root 27 is 3root 3

3 root 3-root 3

so, 2root3.

I think this is the ans.

Answer:

2 root 3

Step-by-step explanation:

Answer:

Hey there!

Sam's Money=1.80 dollars + 0.75 dollars.

1.80+0.75-1.50=1.05

1.05/0.13= 8.08.

He will be able to buy 8 pieces of gum.

Let me know if this helps :)

Answer:

- 4

Step-by-step explanation:

The conjugate of - 2 + i is - 2 - i, thus

- 2 + i + (- 2) - i

= - 2 + i - 2 - i ← collect like terms

= - 4 ← in the form a + bi with b = 0

The sum of -2 + i and its complex conjugate is:

w = -4 + 0i

The complex conjugate of a number z = a + bi is:

z' = a - bi.

Then the complex conjugate of -2 + i is -2 - i.

The sum will give:

w = -2 + i + (-2 - i) = -4 + 0

Writing it in the wanted form we get:

w = -4 + 0i

If you want to learn more about complex numbers, you can read:

https://brainly.com/question/10662770

#SPJ2

Answer:

C

1/7 is greater than 1/8 so 1/7 must go after it. but negative is always less then positive so the correct order is

-1/8, -1/7, 1/8, 1/7

The numbers arranged in increasing order is

-1/8, -1/7, 1/8, 1/7

There are 4 values given:

1/7, 1/8, - 1/7, - 1/8

Negative figures are generally lesser than positive figures

1/7 is greater than 1/8

In negative values, the greater number becomes the smaller number

Therefore,

-1/8 is the the smaller number

Arrangements in increasing order =

-1/8, -1/7, 1/8, 1/7

Read more:

https://brainly.com/question/23774817

Answer:

I did not understand the questions well but If I try it out.

1. the difference b/w Kg and g is 1000,000.

2. as the 3 is kg I only convert the 9 grmas into Kg and it will look like this.

3.000009kgs.

Answer:

[tex]\sqrt{20}[/tex]

Step-by-step explanation:

To find the Apothem of a shape, we need to find how long the distance is from a vertex to the center of the shape.

We can see that they've already showed us how to do it: We need to find the length of the hypotenuse of the red triangle.

To do this, we can use the Pythagorean Theorem, which states that [tex]a^2 + b^2 = c^2[/tex].

We know that a is going to be half of 4, which is 2. We also know that b is going to be 4, so we can substitute inside the equation.

[tex]2^2 + 4^2 = c^2\\\\4 + 16 = c^2\\\\20=c^2\\\\c=\sqrt{20}[/tex]

Hope this helped!

Answer:

SU = 36

Step-by-step explanation:

T is the mid point so the distance of ST and TU is the same. Since ST and TU are the same, 7x + 4 = 10x - 2.

Solve for x

7x + 4 = 10x - 2

7x - 10x = - 2 - 4

-3x = -6

x = 2.

Find SU

SU = ST + TU

= (7x + 4) + (10x - 2)

substitute the value for x into the equation (x=2)

[7(2) + 4] + [10(2) - 2] = 36

I hope this helps :)

Answer:using math

Step-by-step explanation:

Answer: 3.14

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

sorry if i'm wrong

Answer:

-4, 4

Step-by-step explanation:

it seems the most reasonable answer since the dot is not super close to the 6, 6 and it isnt close enough to be 1, 5 or 5, 1 so the answer must be -4, 4

Answer:

-5

Step-by-step explanation:

Coordinate of A = -7

Coordinate if B = 5

Distance of AB = |-7 - 5| = |-12| = 12

We are asked to find the coordinate of the point that would be ⅙ from the A to B, which is ⅙ of AB.

Let's find what ⅙ of AB is.

AB = 12

Therefore, ⅙ of AB = ⅙*12 = 2.

From point A (-7), we move 2 points towards B which will give us ⅙ from A to B.

The coordinate = -7 + 2 = -5

-5 is the coordinate of the point with a fraction distance of ⅙ from A to B.

Answer:

-94%, -.925, -9/10, -8/9

Step-by-step explanation:

-.94, -.8, -.925, -.9

-.94, −0.925, −0.9, -0.8

Answer:

0

Step-by-step explanation:

Note that + (- 7) = - 7 , thus

- 18 + (- 7) + 25 = - 18 - 7 + 25 = - 25 + 25 = 0

Answer:

3 and 5

The angles that are vertically adjacent to the transversal.. when it cuts two parellel lines are always supplementary.. that is they make 180 degree.. hence, in the given pair 3 and 5 are supplementary..

as they lie on the transversal

Answer:

1/2 pound

Step-by-step explanation:

8 pots / 8 equal to 1 pot.

4 lbs / 8 1/2 lbs

Answer:

1/2 pound per pot!

Step-by-step explanation:

4 pound to 8 pots

so we create a fraction 4/8

then reduce = 1/2

so 1/2 pound per pot!

Hope this helps! :)

Answer:

.69 rounded to the nearest hundredth

Step-by-step explanation:

Answer:

MN= 18

Step-by-step explanation:

NT=x+5

MN=3x

MT=7

MT+NT=MN

=>7+x+5=3x

=>12+x=3x

=>x-3x=-12

=>-2x=-12

=>x=12/2

=>x=6

MN=3x=3 * 6 = 18

Answer:

Hey there!

10x+12+4x-15=2x+21

14x-3=2x+21

12x=24

x=2

DF= 2x+21

DF=4+21

DF=25

Let me know if this helps :)

Answer:

x = 5

Step-by-step explanation:

This equation can be rearranged in order to easily solve.

First, rearrange the equation by simply flipping it.

3x + 30 = 9x → 9x = 3x + 30

Then, you may solve for x.

9x = 3x + 30 subtract 3x from both sides of the equation

6x = 30 divide by 6 on both sides of the equation

x = 5

Answer:

100

Step-by-step explanation:

V (x) = 5x²+ 5x

x=4

We plug in the x value:

V (x) = 5(4)²+ 5(4)

Now we sovle the equation:

5(4)² + 5(4)

5(16) + 5(4)

80 + 20

= 100

Hope that helps, and sorry if its incorrect

Answer:

100 cubic units

Step-by-step explanation:

just took the test on PLATO

Answer:

Hey mate!

Using Unitary Method, we get :

2 people -> 5 hours

1 person -> 5/2 = 2.5 hours

3 people -> 2.5 hours * 3 peoples

-> 7.5 hours

-> 7.5 * 60 = 450 mins.

Answer:

3 people can plow a field in 450 minutes.

Step-by-step explanation:

This is a rate/ratio problem, so we have to make sure it's fully simplified.

First, you already know the ratio is 2 people can plow a field in 5 hours, so 2:5.

But that's not the unit rate.

To find the unit rate, you find how much an individual by itself can do their work, and divide numerator by denominator.

In this case, you do 5/2: which is 2.5.

It take's 2.5 hours for one person. Now you multiply by 3 people to get the ratio; since you already found the rate.

2.5x3 is 7.5, and that's in hours. 1 hour is 60 minutes, to find 7 hours, you do 60x7 and get 420 minutes. You add 30 minutes from the remaining half hour.

that results in 450 minutes.

3 people can plow a field in 450 minutes.

Answer:

Kindly check explanation

Step-by-step explanation: A ratio which compares a whole coin collection to a part of it would be expressed in such a way that, the numerator will be the part of the coin which is being compared and the denominator being the value of the entire coin. Mathematically, It could be expressed in proportion form as ;

(Part or amount of the coin which is being compared / total value of entire coin)

A / B such that;

A = value or amount of coin which is being compared.

B = value of the entire coin.

Or in the form

A : B

part of coin being compared : blue of entire coins

Answer:

[tex]y=\frac{48}{x}[/tex]

Step-by-step explanation:

When x = 3, y = 16

When x = 6, y = 8

We need to model the inverse variation.

Inverse Variation : When one value increase another value decrease. But product of both always constant.  

[tex]xy=k[/tex]

when x=3, y=16

k=48

When x=6, y=8

k=48

Model of the inverse variation:

[tex]y=\frac{48}{x}[/tex]

Hence, The model of inverse variation is

[tex]y=\frac{48}{x}[/tex]

Answer:

The inverse variation equation can be used to model this function is:

[tex]y=\frac{48}{x}[/tex]

Step-by-step explanation:

An inverse relationship between two variables implies that if the value of one variable increases the value of the other variable will decreases and vice-versa.

The inverse function describing the relationship between x and y is as follows:

[tex]y=\frac{a}{x}[/tex]

Here, a is a constant.

It is provided that when the value of x is 3 the value of y is 16.

Compute the value of a as follows:

[tex]y=\frac{a}{x}[/tex]

[tex]16=\frac{a}{3}\\\\[/tex]

[tex]a=48[/tex]

It is also provided that when the value of x is 6 the value of y is 8.

Compute the value of a as follows:

[tex]y=\frac{a}{x}[/tex]

[tex]8=\frac{a}{6}\\\\[/tex]

[tex]a=48[/tex]

The value of a is 48.

Then the inverse variation equation can be used to model this function is:

[tex]y=\frac{48}{x}[/tex]

Answer:

see explanation

Step-by-step explanation:

Using the method of completing the square.

Given

f(x) = x² + 4x - 6

add/subtract ( half the coefficient of the x- term )² to x² + 4x

f(x) = x² + 2(2)x 6 + 4 - 4 - 6

      = (x + 2)² - 10

with m = 2 and n = - 10

To solve the equation let f(x) = 0 , that is

(x + 2)² - 10 = 0 ( add 10 to both sides )

(x + 2)² = 10 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{10}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{10}[/tex]

The positive solution is

x = - 2+ [tex]\sqrt{10}[/tex] ≈ 1.16 ( to 2 dec. places )