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liberstina [14]
2 years ago
9

Answer the following questions about the given net.

Mathematics
1 answer:
Bumek [7]2 years ago
3 0

A. If we fold the solid, the solid we would get is: right triangular prism.

B. Surface area of the right triangular prism (SA) = 228 ft²

D. Volume of the right triangular prism (V) = 180 ft³

<h3>How to Find the Surface Area of a Triangular Prism?</h3>

Surface area (SA) = PL + bh; where we are given:

P = perimeter of the triangular base

b = base length of the triangular base

h = height of the triangular base

L = length of the triangular prism

<h3>How to Find the Volume of a Triangular Prism?</h3>

Volume (V) = 1/2 × b × h × L, where we are given:

b = base length of the triangular base

h = height of the triangular base

L = length of the triangular prism

A. If we fold the solid, the solid we would get is: right triangular prism.

B. Surface area (SA) = PL + bh

P = 8 + 10 + 6 = 24 ft

b = 8 ft

h = 6 ft

L = 7.5 ft

Plug in the values

Surface area (SA) = (24)(7.5) + (8)(6)

Surface area of the right triangular prism (SA) = 228 ft²

D. Volume (V) = 1/2 × b × h × L,

b = 8 ft

h = 6 ft

L = 7.5 ft

Plug in the values

Volume (V) = 1/2 × 8 × 6 × 7.5

Volume of the right triangular prism (V) = 180 ft³

Learn more about the right triangular prism on:

brainly.com/question/8841813

#SPJ1

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suppose your household income increased to $2,000.00 and your energy bill came from $180.00 how many percent of your household i
olganol [36]

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

\large \bold {ANSWER}

  • \implies \boxed{\underline{\huge{\tt{\orange{\: \: 9\% \: \: }}}}}

9% of the family income is being spent to pay the energy bill.

\large \bold {SOLUTION}

<h2>HOW TO FIND OUT THE PERCENTAGE?</h2>

If your income is now $2,000.00 and you have withdrawn $180.00 from the value, then we say that the $2,000.00 is equivalent to 100% of the value, that is, the total amount. And the amount that was withdrawn will be X because we still don't know how much percent is equivalent to $ 180.00 of this value.

To solve, we will use the simple rule of three like this:

  • \frac{2000}{180} = \frac{100}{x}

With this we will multiply the denominator of one with the numerator of the other, being:

  • 2000 * X and 180 * 100
  • Where: 2000 * x is equal to 2000x
  • And 180 * 100 is equal to 18,000

Knowing this, we will solve it this way:

  • 2000x = 18,000

To start we will isolate the unknown(x) from the values taking the 2000 to the other side of the equality turning it into the denominator of 18,000.

  • x = \frac{18000}{2000}

And to finish, we cut the 3 zeros of the numerator with the d 3 zeros of the denominator getting 18 / 2. Now it's just dividing.

  • \begin{gathered}x = \frac{18}{2} \\ \\ x = 9\end{gathered}

We can conclude that the amount spent to pay the <u>energy bill is equivalent to 9% of the family income</u>.

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2 years ago
Please this is due tonight!!! Express given logarithm in terms of a, b and c.
KATRIN_1 [288]

\textit{Logarithm Change of Base Rule} \\\\ \log_a b\implies \cfrac{\log_c b}{\log_c a}\qquad \qquad c= \begin{array}{llll} \textit{common base for }\\ \textit{numerator and}\\ denominator \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_5(18)\implies \cfrac{\log(18)}{\log(5)}\implies \cfrac{\log(2\cdot 3\cdot 3)}{\log(5)}\implies \cfrac{\log(2)+\log(3)+\log(3)}{\log(5)}

\begin{cases} \log(3)=a\\ \log(2)=b\\ \log(5)=c \end{cases}\implies \cfrac{b+a+a}{c}\implies \cfrac{b+2a}{c} \\\\[-0.35em] ~\dotfill\\\\ \log_5^2(18)\implies [\log_5(18)]^2\implies \left( \cfrac{b+2a}{c} \right)^2\implies \cfrac{(b+2a)^2}{c^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{b^2+4ab+4a^2}{c^2}~\hfill

8 0
3 years ago
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mars1129 [50]

Answer:

(0,-4)

Step-by-step explanation:

4 0
3 years ago
Graph the linear function described by the equation
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3 years ago
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erastova [34]

Answer:

tn = 8n -7

Step-by-step explanation:

given : t2=9, t4=25

the formula is:

tn = t1 + (n-1) d

gonna find d first:

d = (25-9) /(4-2) = 16/2 = 8

and find tn1:

t1 = 9-8 = 1

so, tn = 1 + (n-1) (8) = 1 +8n -8

tn = 8n -7

8 0
3 years ago
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