Which number is a rational number???

A circular hedge surrounds a sculpture on a square base. The radius of the hedge is 6x. The side length of the square sculpture

andrey2020 [161]

Hi, thank you for posting your question here at Brainly.

Since the hedge is surrounding the square base, the area of the base can be determined by subtracting the area of the base from the hedge.

A = pi*r^2 - (4x)^2
A = pi*(6x)^2 - (4x)^2
A = 2x^2*(3pi - 2)

I hope I was able to answer your question. Have a good day.

6 0

3 years ago

For a sample size of 115 and a population parameter of 0.1,what is the standard deviation of the normal curve that can be used t

Helga [31]

Answer:

A) 0.028

Step-by-step explanation:

Given:

Sample size, n = 115

Population parameter, p = 0.1

The X-Bin(n=155, p=0.1)

Required:

Find the standard deviation of the normal curve that can be used to approximate the binomial probability histogram.

To find the standard deviation, use the formula below:

$\sigma = \sqrt{\frac{p(1-p)}{n}}$

Substitute figures in the equation:

$\sigma = \sqrt{\frac{0.1(1 - 0.1)}{115}}$

$\sigma = \sqrt{\frac{0.1 * 0.9}{115}}$

$\sigma = \sqrt{\frac{0.09}{115}}$

$\sigma = \sqrt{7.826*10^-^4}$

$\sigma = 0.028$

The Standard deviation of the normal curve that can be used to approximate the binomial probability histogram is 0.028

5 0

3 years ago

(i) Challenge: Thembi received 8% discount on an item which cost

Paul [167]

Answer:

$x = 0.25$

Step-by-step explanation:

Given

$Cost\ Price = 6 + x$

$Discount =8\%$

$Amount\ Paid = R6 - x$

Required

Find x

First, we calculate the amount paid in terms of the cost price.

This is calculated using:

$Amount\ Paid = Cost\ Price * (100\% - Discount)$

$Amount\ Paid = (6 + x) * (100\% - 8\%)$

$Amount\ Paid = (6 + x) * 92\%$

Express as decimal

$Amount\ Paid = (6 + x) * 0.92$

Open bracket

$Amount\ Paid = 5.52 + 0.92x$

So, we have:

$Amount\ Paid = 5.52 + 0.92x$ and

$Amount\ Paid = R6 - x$ ---- given

Equate both

$6 - x = 5.52 + 0.92x$

Collect like terms

$- x -0.92x= 5.52-6$

$-1.92x= -0.48$

$1.92x= 0.48$

Solve for x

$x = \frac{0.48}{1.92}$

$x = 0.25$

8 0

3 years ago

I need the answers to 11 12 and 13

kodGreya [7K]

Answer:

11. x= 117 and y =57

12. 9

13. 900 degrees

Step-by-step explanation:

11. Y can be found using supplementary angles. 123+y = 180 since they form a straight line. This means y=57. The inside of a quadrilateral is equal to 360 degrees. This means 117+69+57 +x=360. Then 243+x=360 and x= 117.

12. The exterior angles of a polygon with n sides is 360/n. Since we don't know n but we do know the angle is 40 degrees, we write 360/n=40. Solve for n.

360/n=40

360=40n

360/40=n

n= 9

13. This figure is a regular sides polygon. It has 7 sides and therefore 900 degrees.

7 0

4 years ago

In ∆ABC, ∠BAC= 80°, ∠ABC=60°, a = 7, b = x.

Sonbull [250]

To solve the value of x we use the sine rule that states.
a/sinA = b/sinB = c/sinC
Where a, b, and c are the opposite sides of angle A, B. and C respectively.

x/sin60 = 7/sin80

x =(7sin60)/sin80

= 6.062/0.9848
=6.155696691

To 3 significant figures the answer is 6.16

4 0

3 years ago

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