The area of a trapezoid is 60 square feet the bases of the trapezoid are 8 feet and 12 feet, what is the height?

Nami is adding a mosaic pattern to the top of a small round table.the distance around the edge of the table top is 4.7 feet .wha

Alchen [17]

Given, Nami is adding a mosaic pattern to the top of a small round table.

Given, the distance around the edge of the table top is 4.7 ft.

That means the circumference given is 4.7 ft.

We know that the formula to find circumference is $C = 2\pi r$

Where, C = circumference, r = radius.

Here to get the area first we will find the radius of it. So we will substitute the value of circumference in the formula. We will get,

$4.7 = 2\pi r$

To get r, we will move $2\pi$ to the left side by dividing it to both sides. We will get,

$\frac{4.7}{(2\pi) } = \frac{(2\pi r )}{(2\pi) }$

$\frac{4.7}{(2\pi) } = r$

$0.748 = r$ ( Approximately taken upto three decimal place)

So we have got the radius here. Radius is 0.748 ft. We will have to find the area now. We know that the formula to find the area is,

$A = \pi r^2$ , where A = area, r = radius.

By substituting the value of r we will get,

$A = \pi (0.748)^2$

$A = 1.76$ (Approximately taken upto two decimal place)

So the area Nami needed = 1.76 square ft.

We have got the required answer here.

4 0

3 years ago

A pair of corresponding side of two similar pentagons have length of 12cm and 28cm

ICE Princess25 [194]

The ratio of their areas = 12^2 / 28^2

5 0

3 years ago

Find the square roots of 9604

OLEGan [10]

Answer:

98

You have to use prime factor decompisition. I hope this helps

5 0

4 years ago

Read 2 more answers

What is the value of x in theequation 2.5 (6x - 4) = 10 + 4 (1.5 +0.5 x)?

Zarrin [17]

Answer:

x = 2

Step-by-step explanation:

Let's solve your equation step-by-step.

2.5(6x−4)=10+4(1.5+0.5x)

Step 1: Simplify both sides of the equation.

2.5(6x−4)=10+4(1.5+0.5x)

(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)

15x+−10=10+6+2x

15x−10=(2x)+(10+6)(Combine Like Terms)

15x−10=2x+16

Step 2: Subtract 2x from both sides.

15x−10−2x=2x+16−2x

13x−10=16

Step 3: Add 10 to both sides.

13x−10+10=16+10

13x=26

Step 4: Divide both sides by 13.

x=2

5 0

3 years ago

A sample of 36 observations is selected from one population with a population standard deviation of 4.2. The sample mean is 101.

Digiron [165]

Answer:

Step-by-step explanation:

Given that :

the null and the alternative hypothesis are computed as :

$H_o: \mu_1 = \mu_2$

$H_a : \mu _1 \neq \mu_2$

This is a two tailed test

This is because of the ≠ sign in the alternative hypothesis which signifies that the rejection region in the alternative hypothesis are at the both sides of the hypothesized mean difference .

Decision Rule: at the level of significance ∝ = 0 . 10

The decision rule is to reject the null hypothesis if z < - 1 . 64 and z > 1 . 64

NOTE: DURING THE MOMENT OF TYPING THIS ANSWER THERE IS A TECHNICAL ISSUE WHICH MAKES ME TO BE UNABLE TO SUBMIT THE FULL ANSWER BUT I'VE MADE SCREENSHOTS OF THEM AND THEY CAN BE FOUND IN THE ATTACHED FILE BELOW

5 0

3 years ago