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2 years ago

10

Barney has a swimming pool in his backyard. Calculate the volume of the swimming pool. Round your answer to the nearest whole nu

mber. a0 cubic feet

2 answers:

Reika [66]2 years ago

5 0

Answer:

1593 us gallons

Step-by-step explanation:

givi [52]2 years ago

4 0

Answer:

159

Step-by-step explanation:

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Suppose that theta is an angle in standard position whose terminal side Intersects the unit circle at (-11/61, -60/61)

Blizzard [7]

Answer:

The exact values of the tangent, secant and cosine of angle theta are, respectively:

$\cos \theta = -\frac{11}{61}$

$\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}$

$\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}$

Step-by-step explanation:

The components of the unit vector are $x = -\frac{11}{61}$ and $y = -\frac{60}{61}$ . Since $r = 1$ , then $x = \cos \theta$ and $y = \sin \theta$ . By Trigonometry, tangent and secant can be calculated by the following expressions:

$\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}$

$\sec \theta = \frac{1}{\cos \theta} = \frac{1}{x}$

Now, the exact values of the tangent, secant and cosine of angle theta are, respectively:

$\cos \theta = -\frac{11}{61}$

$\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}$

$\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}$

3 0

2 years ago

Multiply then simplify radicals<br> 3^√9 × 3^√-24 <-- are both cube root<br> √8y^5 × √40y^2

Gemiola [76]

Step-by-step explanation:

∛9 × ∛-24

∛-216

∛(-6)³

-6

√(8y⁵) √(40y²)

√(320y⁷)

√(64y⁶ × 5y)

8y³√(5y)

5 0

2 years ago

Select one answer choice For part A and select one answer choice for part B

sweet [91]

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+6}x\stackrel{\stackrel{c}{\downarrow }}{+9}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{\underline{one real solution}}~~\textit{\Large \checkmark}\\ positive&\textit{two real solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ 6^2-4(1)(9)\implies 36-36\implies 0$

6 0

2 years ago

Alvin is 7 years younger than Elgas. The sum of their ages is 63. What is Elgas age?

Elden [556K]

Answer:

Elgas is 35.

Step-by-step explanation:

Let's set up an equation.

Alvin is 7 years younger than Elgas.

A = E - 7

The sum of their ages is 63.

A + E = 63

Let's use substitution.

Plug in the first equation of A into the second equation.

A + E = 63

(E - 7) + E = 63

Combine like terms.

2E - 7 = 63

Add 7 to both sides.

2E = 70

Divide both sides by 2.

E = 35

Elgas is 35.

Hope this helps!

6 0

2 years ago

When planning road development, the road commission estimates the future population using the function represented in the table,

Sindrei [870]

The significance of 160,000 in the function is the initial population at the time of the estimation.

The correct option is (C)

<h3>What is data?</h3>

A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.

Given:

As per the table attached below:

F(x) signify the total population when the time was x hour.

So, 160,000 in the function signifies that the population at starting i.e., initial point.

Learn more about this concept here:

brainly.com/question/17112729

#SPJ1

7 0

1 year ago