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aniked [119]
3 years ago
8

A ladder leaning against a building makes an angle of 65 degrees with the ground and reaches a point on the building 20 feet abo

ve the ground. what is the length of the ladder to the nearest foot.
Mathematics
1 answer:
lesya692 [45]3 years ago
5 0
22 feet. Using the sine rule theory: 20/sin(65)=x/sin(90). You know that it's 90 degrees because you assume the ground and the building make a 90 degree angle. So, you cross multiply and get 20sin(90)/xsin(65) and solve for x.
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A company's revenue function and cost function are as follows: R(x) = 0.55x and C(x) = 10 + 0.05x. What is the minimum number of
Oduvanchick [21]

Answer:

Minimum number of units sold to make profit is equal to 20

Step-by-step explanation:

Revenue earned by the company as a function of number of units sold as x:

R(x) = 0.55x

Cost for selling units as a function of number of units sold as x:

C(x) = 10 + 0.05x

<em>Net profit earned by the company = (Revenue earned by the company) - (Cost of selling units)</em>

P(x) = (0.55x) - (10 + 0.05x)

P(x) = 0.55x - 10 - 0.05x

P(x) = 0.5x - 10

To earn profit the following condition should satisfy: P(x) ≥ 0

0.5x - 10 ≥ 0

0.5x ≥ 10

x ≥ \frac{10}{0.5}

x ≥ 20

4 0
3 years ago
Make b the subject of the formula <br><img src="https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7Bbrt%7D%7Bv%20-%20b%7D%20" id="Tex
balu736 [363]

Answer:

b = \frac{kv}{k+rt}

Step-by-step explanation:

Given

k = \frac{brt}{v-b} ← multiply both sides by (v - b)

k(v - b) = brt ← distribute left side

kv - kb = brt ( subtract brt from both sides )

kv - kb - brt = 0 ( subtract kv from both sides )

- kb - brt = - kv ( multiply through by - 1 to clear the negatives )

kb + brt = kv ← factor out b from each term on the left

b(k + rt ) = kv ← divide both sides by (k + rt )

b = \frac{kv}{k+rt}

5 0
3 years ago
Convert 9.56 into a percentage
Drupady [299]
9.56 can be split into 9 , 0.5 , and 0.06

therefore the percentage will be 956%
4 0
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Gelneren [198K]

Answer:

3 + 1(3) +3 (the dollar amounts)

3+3+3

9

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1.3

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3 0
3 years ago
What is the equation of a line that is perpendicular to 8x+6y=-5?
masha68 [24]

what is the equation of a line that is perpendicular to 8x+6y=-5 the answer is b

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