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alexandr1967 [171]
3 years ago
10

What is the approximate area of the triangle below?

Advanced Placement (AP)
1 answer:
Elden [556K]3 years ago
4 0

Answer:

73.1 cm²

Explanation:

We need to know at least two of the side lengths of the triangle that makes one of the angles given an included angle.

Find the measure of the third angle, the angle that is opposite 14 cm:

Thus,

180 - (95 + 35) = 50°

Using Sine rule, let's find the side length that is opposite to 35°:

Let the side length opposite to 35° be represented as "x".

Thus:

x/sin(35) = 14/sin(50)

Multiply both sides by sin(35)

x = 14/sin(50) × sin(35)

x = (14×sin(35))/sin(50)

x = 10.5 cm (nearest tenth)

✔️Use ½*a*b*sin(C) to find the area

where,

a = 14 cm

b = 10.5 cm

C = 95°

Plug in the values

Area = ½*14*10.5*sin(95)

Area ≈ 73.1 cm²

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A conical water tank is 24 ft high and has a radius of 10 ft at the top. If water flows into the tank at a rate of 20 cubic feet
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Answer:

0.027 cubic ft/min

Explanation:

Volume of water is V=V(t) Depth of water is h=h(t)

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Make dh/DT subject of formula

dh/dt=(20*3*144)/(25*π*4096) = 8640/321740.8

=

dh/dt= 0.027 ft3/min

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