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pickupchik [31]
2 years ago
5

A triangular building lot has 2 sides of lengths 1171 feet and 2193 feet. A surveyor has found the angle between the two given s

ides to be 50*. If an acre of land is 43,560 square feet, how many acres is the lot? Round your answer to the nearest tenth of an acre.
Mathematics
1 answer:
Rashid [163]2 years ago
4 0

Answer:

29.5 acres

Step-by-step explanation:

Area of triangular lot:  \frac{1171 + 2193}{2} = 1,284,001.5

Number of acres:   \frac{1284001.5}{43560} = 29.4766

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Assume that a varies directly as b. What is the constant of proportionality if a = 8 when b = 2?
Lena [83]

Answer:

k = 4

Step-by-step explanation:

Given that a varies directly as b then the equation relating them is

a = kb ← k is the constant of variation

To find k use the condition a = 8 when b = 2

k = \frac{a}{b} = \frac{8}{2} = 4

8 0
3 years ago
Read 2 more answers
Bx^(2)+2b^(2)-b^(3)-2x^(2)
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Answer:

(b+x)(−b+x)(b−2)

Step-by-step explanation:

Factor bx2 + 2b2 − b3 − 2x2  − b3 + bx2 + 2b2 − 2x2  = (b+x)(−b+x)(b−2)

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3 years ago
A box of colored pencils cost $4.50 if there are 40 pencils how much would 60 pencils cost
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Step-by-step explanation:

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3 years ago
Y'all I am struggling Use the following functions to find each value below. f(x)=5x; g(x)=−2x+1; h(x)=x2+6x+8
Anni [7]

Answer:

see below the first three problems

Step-by-step explanation:

f(g(-2))

First, find g(-2) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(-2) = -2(-2) + 1

g(-2) = 5

f(x) = 5x

f(5) = 5(5)

f(5) = 25

f(g(-2)) = 25

g(h(3))

First, find h(3) using function h(x). Then use that value as input for function g(x).

h(x) = x^2 + 6x + 8

h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8

h(3) = 35

g(x) = -2x + 1

g(35) = -2(35) + 1 = -70 + 1

g(35) = -69

g(h(3)) = -69

f(g(3a))

First, find g(3a) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(3a) = -2(3a) + 1

g(3a) = -6a + 1

f(x) = 5x

f(-6a + 1) = 5(-6a + 1)

f(-6a + 1) = -30a + 5

f(g(3a)) = -30a + 5

5 0
3 years ago
Mrs. Norris is paid 5% commission on each boat he sells. What is his commission on a boat that he sells for $125,000
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He will get $6,250 commission. I hope that helps :)
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