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shutvik [7]
3 years ago
9

Write (2p)^4 without exponents.

Mathematics
1 answer:
Fed [463]3 years ago
5 0

Answer:

= 8p

Step-by-step explanation:

Steps

2p · 4

Remove parentheses: (a) = a

= 2p · 4

Multiply the numbers: 2 · 4 = 8

= 8p

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HELP! WILL AWARD BRAINLIEST TO WHOEVER ANSWERS BOTH PARTS CORRECTLY!!
rewona [7]

check the picture below.

now, we're assuming the trapezoid is an isosceles trapezoid, namely AD = BC, and therefore the triangles are twins.

incidentally, b is the height of the trapezoid and likewise is also the altitude or height of the concrete triangle.

so we can simply get the area o the trapezoid, notice the bottom base is a+185+a, and then get the area of the concrete triangle and subtract the triangle from the trapezoid, what's leftover is just the vegetation area.

\bf \begin{cases} a=283\cdot cos(80^o)\\ a\approx 49.14\\ --------\\ b=283\cdot sin(80^o)\\ b\approx 278.70 \end{cases}\\\\ -------------------------------\\\\ \textit{area of a trapezoid}\\\\ A=\cfrac{h(x+y)}{2}~~ \begin{cases} x,y=\stackrel{bases}{parallel~sides}\\ h=height\\ ----------\\ x=185\\ y\approx \stackrel{a+185+a}{283.28}\\ h\approx\stackrel{b}{278.70} \end{cases} \\\\\\ A=\cfrac{278.70(185+283.28)}{2}\implies A\approx 65254.818

so that's the area of the trapezoid, now let's get the area of the triangle.

\bf \stackrel{triangle}{\cfrac{1}{2}(185)(b)}\implies \cfrac{1}{2}(185)(278.70)\qquad \approx 25779.80\\\\ -------------------------------\\\\ \stackrel{\textit{area for vegetation}}{\stackrel{\textit{area of trapezoid}}{65254.818}~~-~~\stackrel{\textit{area of triangle}}{25779.80}}\implies 39475.018

since we know 36 yd² cost 12 bucks, then how much will it be for 39475.018 yd²?

\bf \begin{array}{ccll} yd^2&\$\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 36&12\\ 39475.018&x \end{array}\implies \cfrac{36}{39475.018}=\cfrac{12}{x}\implies x=\cfrac{39475.018\cdot 12}{36} \\\\\\ x\approx 13158.339\overline{3}

3 0
3 years ago
A tree that is next to a telephone pole is 15 feet tall and casts a shadow 4 feet long.
alekssr [168]

Answer:

24ft is the length of the shadow of the telephone pole

Step-by-step explanation:

Well first what I did was divide 15 by 4 which equaled to 3.75, after that the question said that the telephone pole was now 90 feet tall so I just had to divide 90 by 3.75 and then 24 ft long was the final answer. I hope that helps

4 0
2 years ago
Find the perimeter. Simplify your answer.<br> 4c+9<br> 70-5<br> 5c+2<br> 5c-3
pickupchik [31]

Answer:

Step-by-step explanation:

Perimeter = 4c + 9 + 7c - 5 + 5c + 2 + 5c - 3

                = 4c +7c + 5c +5c + 9 - 5 + 2  - 3

                 = 21c + 3

7 0
2 years ago
Write the name of the period that has the digits 751
Cloud [144]
I dont know if its right. it is seven hundred fifty one
3 0
3 years ago
A weight lifter does 9.8 J of work while lifting a weight straight upward through a distance of 0.12m. What was the force exerte
gulaghasi [49]

Answer:

The force exerted by the weight lifter is 81.7 N.

Step-by-step explanation:

We can find the force exerted by the weight lifter using the definition of work:

W = F*d    (1)

Where:

F: is the force

d: is the displacement

We have W = 9.8 J of work and d = 0.12 m, so by solving equation (1) for F we have:

F = \frac{W}{d} = \frac{9.8 J}{0.12 m} = 81.7 N

Therefore, the force exerted by the weight lifter is 81.7 N.

I hope it helps you!                          

3 0
3 years ago
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