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Tasya [4]
3 years ago
11

Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 25 feet apart and each side is 10.4 feet l

ong. It requires 7.5 gallons to fill one cubic foot. How much water is need to fill the pool with 3 feet of water.
A. 3900
B. 5850
C. 1560
D. 11700
Mathematics
2 answers:
ExtremeBDS [4]3 years ago
5 0

sry....I wish I could help

Eddi Din [679]3 years ago
4 0

Answer:

<u>Given</u>: base = 10.4ft, height = 12.5

Area of octagon = 8(1/2 × b × h)

  • 8(1/2 × 10.4 × 12.5)
  • 520ft²

Volume of pool = 520ft² × 3ft

  • 1560ft³

Now, 1 cubic ft takes 7.5 gallons to fill.

Therefore, 1560 cubic ft takes,

  • 1560 × 7.5
  • 11700

So, <u>Correct choice</u> - [D] 11,700.

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Between which two consecutive integers does 85 square lie
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Answer:

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Step-by-step explanation:

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3 years ago
Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot with sides of lengths 119, 147,
stiks02 [169]

Answer:

$87,461

Step-by-step explanation:

Given that the dimensions or sides of lengths of the triangle are 119, 147, and 190 ft

where S is the semi perimeter of the triangle, that is, s = (a + b + c)/2.

S = (119 + 147 + 190) / 2 = 456/ 2 = 228

Using Heron's formula which gives the area in terms of the three sides of the triangle

= √s(s – a)(s – b)(s – c)

Therefore we have = √228 (228 - 119)(228 - 147)(228 - 190)

=> √228 (109)(81)(38)

= √228(335502)

=√76494456

= 8746.1109071 * $10

= 87461.109071

≈$87,461

Hence, the value of a triangular lot with sides of lengths 119, 147, and 190 ft is $87,461.

6 0
3 years ago
What is the y-intercept of y=[x-41 +1?<br> ○ (0,-5)<br> O (5,5)<br> (0,5)<br> ○ (5,0)
Dmitriy789 [7]

The y-intercept of the given function is (0, -5)

<h3>y-intercept of an equation</h3>

Given the equation below

y=[x-4| +1

The y-intercept is the point where the value of x is zero. Substitute x = 0 into the function to have;

y = 0 - 4-  1

y = 0 - 5

y = -5

Hence the y-intercept of the given function is (0, -5)

Learn more on y-intercept here: brainly.com/question/24363347

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8 0
2 years ago
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=|2x−1|+3.
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Answer:

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3 years ago
HELP PLEASE! Will give the Brainliest if shown work!!
scZoUnD [109]

Answer:

\large\boxed{Q1.\ A_{\triangle PQR}=90\ cm^2}\\\\\boxed{Q2.\ V\approx321\ m^3}

Step-by-step explanation:

Q1.\\\\\text{If}\ \triangle ABC\sim\triangle PQR\ \text{then the quotient of the areas is equal}\\\text{the square of the similarity scale}\ k.\\\\\text{The sides}\ AB\ \text{and}\ QP\ \text{are corresponding}.\ \text{Calculate the scale:}\\\\k=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}\\\\\text{The area of }\ \triangle ABC=40\ cm^2.\\\\\text{Let the area of}\ \triangle PQR=x,\ \text{then}\\\\\dfrac{40}{x}=\left(\dfrac{2}{3}\right)^2\\\\\dfrac{40}{x}=\dfrac{4}{9}\qquad\text{cross multiply}\\\\4x=(9)(40)\qquad\text{divide both sides by 4}\\\\x=(9)(10)\\\\x=90\ cm^2

Q2.\\\\\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\R-radius\\\\\text{We have the diameter}\ 2R=8.5\ m\to R=\dfrac{8.5}{2}\ m=4.25\ m.\\\\\text{Substitute:}\\\\V=\dfrac{4}{3}\pi(4.25)^3=\dfrac{4}{3}\pi(76.765625)=(4)(25.588541)\pi=102.354164\pi\\\\\pi\approx3.14\\\\V=(102.354164)(3.14)\approx321\ m^3

8 0
3 years ago
Read 2 more answers
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