A rectangular swimming pool is twice as long as it is wide. A paved border is 4 feet wide along the two longer sides and one of the shorter sides, and 8 feet wide along the other shorter side. The border and the pool have a combined area of 2046 square feet.

Let x represent the length of the shorter side of the swimming pool. Write an equation in standard form for the combined area of the pool and border in terms of x.

BONUS: Find the length and width of the swimming pool. To receive any credit for your answer factoring must be shown.

Answer:

43°

Step-by-step explanation:

p + 7° + 3p+ 1° = 180° ( Being linear pair)

4p + 8° = 180°

4p = 180° - 8 °

4p = 172°

p = 172° / 4

p = 43°

Hope it will help :)❤

Answer:

Base:12

Volume:76.8

Step-by-step explanation:

The base is 3*8/2

which is 12

and the volume is base * height so

12*6.4

=76.8

Hope this helps :) Giving me brainiest would help a lot :))

Answer:

130.25 ft.

Step-by-step explanation:

The semi circle has a length 1/2 of the circumference of the circle with a diameter of 25

C = πd = 3.14(25)

So, the semi circle has a length = 1/2(3.14)25) = 39.25

The distance for the rectangle = 33 + 25 + 33 = 91

Therefore, the total perimeter = 91 + 39.25 = 130.25

Answer:

the center is (2,-3)

the radius is √70

Answer:

p-3 is the correct answer

Answer:

p - 3

Step-by-step explanation:

let x = number of pretzels terry ate and p = the amount of pretzels susan ate

If Terry ate 3 less than Susan than

x would equal p - 3

so your answer would be p - 3

Answer:

x = 0.4

Step-by-step explanation:

Answer:

x=0.4

Step-by-step explanation:

Given function:

Combine first value by 0.81:

Subtract 0.81 both from sides:

Simplifly -19x/2:

Multiply all terms by similar term:

Divide both terms by -7.6:

Therefore, x=0.4.

Answer:

Step-by-step explanation:

area = (5x-3)² = (25x² - 30x + 9) cm²

First answer is 6+x

2. A.37419

  B. 7

Answer:

30 days

Step-by-step explanation:

Answer:

2sqrt(3),-2sqrt(3)

Step-by-step explanation:

12-x^2=0

-x^2=-12

x^2=12

x=-sqrt(12),sqrt(12)

x=2sqrt(3),-2sqrt(3)

Answer:

B and C are correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 40

x = 120

The < sign means less than.

38 is less than 25, but it is less than 40 and 120.

Hope that helps!

-Sabrina

Answer: A = 1/2 b x h

Step-by-step explanation:

Answer:

439(1+4/100x8=579.48

Carbon-14 will take 19,035 years to decay to 10 per cent.

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.

An exponential decay can be described by the following formula:

[tex]N(t)=N_oe^{-\lambda t}[/tex]

Where:

No  = The quantity of the substance that will decay.

N(t) = The quantity that still remains and has not yet decayed after a time t

[tex]\lambda[/tex]    = The decay constant.

One important parameter related to radioactive decay is the half-life:

[tex]t_{1/2}=\dfrac{Ln(2)}{\lambda}[/tex]

If we know the value of the half-life, we can calculate the decay constant:

[tex]\lambda =\dfrac{ln(2)}{t_{1/2}}[/tex]

Carbon-14 has a half-life of 5,730 years, thus:

[tex]\lambda =\dfrac{ln(2)}{5730}[/tex]

[tex]\lambda[/tex] = 0.00012097

The equation of the remaining quantity of Carbon-14 is:

[tex]N(t)=N_oe^{-0.00012097t}[/tex]

We need to calculate the time required for the original amount to reach 10%, thus N(t)=0.10No

[tex]0.10N_o=-N_oe^{-0.00012097t}[/tex]

Simplifying:

[tex]0.10=e^{0.00012097t}[/tex]

Taking logarithms:

ln(0.10) = -0.00012097t

Solving for t:

[tex]t=\dfrac{Log0.10}{-0.00012097}[/tex]

t = 19035 years

Carbon-14 will take 19,035 years to decay to 10 per cent.

To know more about decay follow

https://brainly.com/question/25537936

#SPJ2

Answer:

It is -16

Step-by-step explanation:

Have a great Day

Answer:

y = 6

Step-by-step explanation:

This is a special right triangle with angle measures 90° 60° 30°

the side length that sees angle measure 30 is represented with x

the side length that sees angle measure 90 is represented with 2x

and the side length that sees angle measure 60 is represented with x√3

the side length that sees angle measure 90 is given as 4√3 which means 2x = 4√3 divide both sides by 2

x = 2√3 now to find y, we need to multiply this value by √3

2√3 × √3 = 2 × 3

Answer:

They are complete opposites

Step-by-step explanation:

Answer:

they are opposites

Step-by-step explanation:

Answer:

A right circular cone can be intersected by some plane to produce circle, ellipse, hyperbola depending upon where the plane is crossing the cone.

But if the plane crosses at the vertex. Just one point is crossed.

Answer:

a point hope this helps

Answer:

-4x - 6 = -14

      + 6.  + 6

-4x = -8

——————

-4.      -4

—————

x = 2 :) copy it down like that :)

Step-by-step explanation:

Answer:

-6 , 6, 11

Step-by-step explanation:

Set each part of the equation to zero, so that x-11= 0, and x^2 - 36 = 0. Solve each part, and you get -6, 6, and 11.

Hopefully this helps- let me know if you have any questions!

Answer: D

Step-by-step explanation:

The test statistic is t = 1.14.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean  and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation .

here, we have,

Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean  and standard deviation

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40.

This means that , μ_m = 6.761

From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35.

This means that , μ_v = 5.534

Assuming a null hypothesis of no difference in population means

At the null hypothesis, we test that there is no difference, that is, the subtraction of the means is 0. So

H₀ = 0

At the alternate hypothesis, we test if there is difference, that is, the subtraction of the means is different of 0. So

H₁ ≠ 0

The test statistic is:

t = X - μ / s

In which X is the sample mean,  is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that μ= 0

From the samples:

X = 10

s = 8.737

The test statistic is t = 1.14.

To learn more on Central Limit Theorem:

https://brainly.com/question/18403552

#SPJ2

Complete question:

A two-sample t-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a null hypothesis of no difference in population means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means?

Answer:

its side CE

Step-by-step explanation:

I got it wrong and it showed me the answer. Hope this helps!

Answer:

C

Step-by-step explanation:

got it right

Answer

here :)

Step-by-step explanation:

for 1) the answers are...

x       y

-6     -10

3      -1

-7     -11

0       -4  

-3     -7

for number 2 the answers are...

x    y

6   -2

1    -7

-8  -16

-7  -15

2   -6

for number 5 the answers are...

x    y

1    -6

2    -5

-6   -13

6    -1

-9   -16

for number 6 the answers are...

x   y

8   64

7   56

6   48

9   72

-8   -64

for number 9 the answers are...

x   y

2   -3

-9  -14

8   3

-5  -10

9    4

for number 10 the answers are...

x   y

5   -15

-9   27

7    -21

0    0

-3   9

Answer:

10

Step-by-step explanation:

5x5=10

Answer:

10 units

Step-by-step explanation:

5*2=10

Answer:

BC > AD

Step-by-step explanation:

The opposite side to BC is greater, therefore making m<BCD > m<BAD. Since the legs are congruent, this is the only difference that need-be mentioned.

As the opposite angle of a larger side of a triangle is larger hence

m∠BAD > ∠mBCD.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

From the figure itself, ΔABD and ΔBCD share a common side BD.

Given, Side AB is congruent to side CD and Side AD is greater than side BC.

We know opposite angle of a larger side of the triangle is larger.

Therefore, m∠BAD > ∠mBCD.

learn more about congruency here :

https://brainly.com/question/7888063

#SOJ2

Answer: the percentage you would get the number two would be 10% out of 100 I believe. Hope it helped!

Answer:

340 liters

Step-by-step explanation:

This means that Tapiwah raked x plus 5% of x leaves. Knowing that Tapiwah actually raked 357 liters, we can find the value of x as follows. So, Adam raked 340 liters of leaves.