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2 years ago

Brainliest to the correct answer, but answer ASAP

Mathematics

2 answers:

klemol [59]2 years ago

6 0

the answer is 153.86 ft squared

= the formula for the area of a circle is A=πr2

= area = pi x radius squared

= the radius is 7 feet, square that to get 49

= multiply 49 by pi to get the area: 153.86 square feet

153.86 ft squared

CaHeK987 [17]2 years ago

3 0

Answer:

153.86 ft squared

Step-by-step explanation:

As per given question we have provided that :

➟ Radius of circular pool = 7 feet

We need to find :

➟ Area of circular pool

Here's the required formula :

${\dashrightarrow\sf{A = \pi {r}^{2}}}$

↝ A = Area
↝ π = 3.14
↝ r = radius

Substituting all the given values in the formula to find the area of circular pool :

${\dashrightarrow{\sf{Area = \pi {r}^{2}}}}$

${\dashrightarrow{\sf{Area = 3.14{(7)}^{2}}}}$

${\dashrightarrow{\sf{Area = 3.14{(7 \times 7)}}}}$

${\dashrightarrow{\sf{Area = 3.14{(49)}}}}$

${\dashrightarrow{\sf{Area = 3.14 \times 49}}}$

${\dashrightarrow{\sf{Area = 153.86}}}$

$\star{\underline{\boxed{\sf{\red{Area = 153.86 \: {ft}^{2}}}}}}$

Hence, the area of circular pool is 153.86 ft².

$\rule{300}{1.5}$

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Step-by-step explanation:

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3 years ago

Read 2 more answers

1. Solve and verify each of the following systems of linear equations. SHOW ALL WORK PLEASE AND THANK YOU

storchak [24]

Answer:

Step-by-step explanation:

(a)

Given the system of equation:

$5x-2y=-6$ .....[1]

$2x-y=1$ .....[2]

Multiply equation [2] by -2 we get;

$-4x + 2y = -2$ ......[3]

Add equation [1] and [3] to eliminate y and solve for x we have;

$5x -2y+(-4x+2y) = -6-2$

$5x -2y-4x+2y= -6-2$

Combine like terms;

$x = -8$

Substitute the value of x in [2] we get;

2(-8)-y =1

-16-y = 1

Add 16 both sides we get;

-y = 17

y =-17

Answer; Solution for the given system of equation is (-8, -17)

Verify:

Substitute the value of x = -8 and y = -17 in the system of equation;

5x -2y = -6

5(-8)-2(-17) = -6

-40+34 = -6

-6 = -6 True

2x-y =1

2(-8)-(-17) = 1

-16+17 = 1

1 = 1 True.

(b)

Given the system of equation:

$2x+3y=432$ .....[1]

$5x-2y=16$ .....[2]

Multiply equation [2] by 3 and equation [1] by 2 we get;

$15x -6y = 48$ ......[3]

$4x +6y = 864$ ......[4]

Add equation [3] and [4] to eliminate y and solve for x we have;

$15x -6y+4x+6y =48+864$

Combine like terms;

$19x = 912$

Divide both sides by 19 we get

x = 48

Substitute the value of x in [2] we get;

5(48)-2y=16

240 -2y = 16

Subtract 240 from both sides we get;

-2y =-224

Divide both sides by -2 we get

y =112

Answer: Solution for the given system of equation is (48, 112)

Verify:

Substitute the value of x = 48 and y = 112 in the system of equation;

$2x+3y=432$

$2(48)+3(112)=432$

$96+33+3y=432$

$432=432$ true

$5x-2y=16$

$5(48)-2(112)=16$

$240-224=16$

16 = 16 true

6 0

3 years ago

Dhdgxgxgxg g g gg gxxgdgd

bija089 [108]

Answer:

Step-by-step explanation:

4:6 = 2:3

2:3 = 2:3

8:12 = 2:3

4:5 = 4:4

3 0

3 years ago

Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insu

Yakvenalex [24]

Answer:

a) The probability is P=0.3982.

b) No. There is no enough evidence to say that the proportion of the population is not 0.6.

Step-by-step explanation:

a) In this question, we have a sample of the population, of size n=1000. To know what is the probability of observing a sample proportion that is at least 0.64 we have to know the parameters of the sampling distribution.

The parameters of the sampling distribution of the proportion will be:

$\mu=\pi=0.6\\\\ \sigma=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.6(1-0.6)}{1000} }= 0.0155$

With these parameters, we can calculate the z-value for p=0.64 as:

$z=\frac{p-\pi}{\sigma}=\frac{0.64-0.6}{0.0155}= 0.258$

Then, we can calculate the probability of having a sample with p≥0.64:

$P(p\geq0.64)=P(z\geq0.258)=0.3982$

b) To know if the proportion of the population is greater than 0.6 the rigth thing to do is perform a hypothesis test, in which we test the following hypothesis:

$H_0: \pi\leq0.6\\\\H_1:\pi>0.6$

If the null hypothesis is rejected, we can conclude that there is evidence that the proportion of the population is greater than 0.6.

First, we assume a significance level of 0.05.

Second, we calculate the z value:

$z=\frac{p-\pi-0.5/N}{\sigma} =\frac{0.64-0.6-0.5/1000}{0.0155} =\frac{0.0395}{0.0155} =2.54$

The P-value for this z is P=0.4. The P-value is greater than the significance level, what means that there is no evidence to reject the null hypothesis.

In other words, a sample mean of 0.64 is a quite probable value even if the proportion of the population is 0.6.

6 0

3 years ago

What is 8(1/4x-3)+24<4(x+5)

Sergio039 [100]

Hey there!

We can solve inequalities just like equations. There is only one difference though. If you ever multiply or divide both sides by a negative number, you "flip" the inequality sign.

First, let's undo the parentheses.

2x-24+24<4x+20

We simplify.

2x<4x+20

We subtract 4x from both sides.

-2x<20

We divide both sides by -2 (we will need to flip the inequality sign).

x>-10

I hope this helps!

5 0

4 years ago