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ExtremeBDS [4]
3 years ago
13

The area of a circular pool cover is 314 square feet. Write and solve an equation to find the diameter of the pool cover. Use 3.

14 for pie
Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0
The diameter of the pool cover in one hundred feet
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Help needed ! 13 - 2(2x + 1) = 1 ?
kirill115 [55]

Answer:

x = ¹⁰⁄₄,⁵⁄₂, or 2.5

Step-by-step explanation:

Given: 13 - 2(2x + 1) = 1

1. Distribute -2 through the parentheses:

⇒ 13 - 2(2x + 1) = 1

⇒ 13 + (-2)(2x) + (-2)(1) = 1

13 - 4x - 2 = 1

2. Combine like terms:

⇒ 13 - 4x - 2 = 1

⟹ 11 - 4x = 1

3. Subtract 11 from both sides:

⇒ 11 - 11 - 4x = 1 - 11

⟹ -4x = -10

4. Divide both sides by -4:

⇒ -4x ÷ -4 = -10 ÷ -4

⟹ x = ¹⁰⁄₄,⁵⁄₂, or 2.5

5. Check your work:

⇒ 13 - 2(2x + 1) = 1

⇒ 13 - 2(2(2.5) + 1) = 1

⇒ 13 - 2(5 + 1) = 1

⇒ 13 - 2(6) = 1

⇒ 13 - 12 = 1

⟹ 1 = 1 ✔

Learn more here:

brainly.com/question/17139226

brainly.com/question/26315061

5 0
2 years ago
Read 2 more answers
Trevon, Leah, and Beth are playing a computer game. Trevon scores -8. Beth’s score was 3/4 of trevons score, and Leah’s score wa
nevsk [136]
-8 = trevon

(3/4)-8 = beth
= -6

1/4[(3/4)-8] = leah
1/4(-6)
= -1.5
3 0
3 years ago
Read 2 more answers
I need help with my pre-calculus homework, please show me how to solve them step by step if possible. The image of the problem i
Anna [14]

We know that the law of sines states that:

\frac{\sin\alpha}{a}=\frac{\sin\beta}{b}

For simplicity, let:

\beta=m\angle A_1BC

In triangle A1BC this leads to:

\begin{gathered} \frac{\sin31}{5}=\frac{\sin\beta}{6} \\ \sin\beta=\frac{6}{5}\sin31 \\ \beta=\sin^{-1}(\frac{6}{5}\sin31) \\ \beta=38.174 \end{gathered}

Therefore:

m\angle A_1BC=38.174

Now, triangle A2BC is isosceles which means that both the base angles are equal, since angle CA1B and A2A1B are supplementary we have:

m\angle CA_2B=180-38.174=141.826

8 0
1 year ago
Show your work:<br> (please dont answer with a link)
Illusion [34]

Answer:

p = 10

Step-by-step explanation:

20 x 50 = 100p

1000/100 = 100p/100

10 = p

6 0
3 years ago
Order the following numbers from least to greatest. square root of 7, -2.3, square root of 3, 5.1, -1/3. Please help! The last o
dolphi86 [110]
-2.3, -1/3, square root of 3, square root of 7, 5.1

3 0
3 years ago
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