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8090 [49]
3 years ago
11

In the figure below, what is the length of AD?

Mathematics
1 answer:
maksim [4K]3 years ago
5 0
Find the inside angle B of the smaller triangle using the base (4) and height (6)
smaller part of B =  arctan(4/6) = 33.69 degrees
 full B = 90 degrees - smaller B gives you the other part of B for the left hand side

so 90 - 33.69 = 56.31

now AD =  6 x tan(56.31) = 9 feet
 answer is G





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he entry fee to the fair is 4.00 . each rides requires a ticket that cost 0.50 heidi spent a total 12.00 how many ticket did hei
elixir [45]
Hey there!

Set up an equation. This would be 4+0.5x=12. You have to get x by itself, so subtract 4 on each side. You get 0.5x=8. Divide by 0.5 on each side to get x=16. Heidi purchased 16 tickets.

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Jeremiah works five days a week if she earns 225 a day how much does he earn per week
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<h2>1125</h2>

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4 0
3 years ago
A silo is not the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cu
Gnom [1K]

Answer:

$7803.72

Step-by-step explanation:

We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.

First of all, we will find the volume of silo using volume of cone formula.

\text{Volume of cone}=\frac{1}{3}\pi r^2 h, where,

r = radius

h = Height

We know that radius is half the diameter, so radius of silo would be r=\frac{3}{2}=1.5.

\text{Volume of cone}=\frac{1}{3}\pi (1.5\text{ m})^2 (8)\text{ m}

\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 6\text{ m}^3

\text{Volume of cone}=18.8495559\text{ m}^3

Now we will multiply total volume by $414 to find total cost.\

\text{Total cost of soybeans}=\$414 \times 18.8495559

\text{Total cost of soybeans}=\$7803.7161426

\text{Total cost of soybeans}\approx \$7803.72

Therefore, it will cost $7803.72 to fill the silo with soybeans.

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3 years ago
Simplify the expression 14 + 5(x+3)-7
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14 + 5(x+3)-7
14 + 5x +15 -7
5x + 22
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