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3 years ago

find the volume of the prism. it is a bird house in a triangle shape. height 30 ft, length 20 ft. width is 24 ft..

Mathematics

1 answer:

mario62 [17]3 years ago

7 0

V=lwh1/2
V=(24•20•30)1/2
V=17280•1/2
V=8,640

Hope this helps!

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the central angle of a sector is 60 degrees and the area of the circle is 144 pi. What is the area of the sector

rjkz [21]

The radius of the circle,
Pi × r² = 144 pi
r ² = 144
r = 12

The area of the sector,
60 / 360 × pi × 12² = 144/6 × 22/7 or 3.142
= 75. 43 or 24 pi

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2 years ago

Tanθ= a. 1 - cot^2 θ b. 1/cot θ c. 1 + sec^2 θ

DIA [1.3K]

Answer:

$tanθ = \frac{sinθ}{cosθ} \\ = \frac{1}{ \frac{cosθ}{sinθ} } \\ = \frac{1}{cotθ}$

b. 1/cot θ

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2 years ago

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What is p(tails)? Write your answer as a percentage

Tamiku [17]

Answer: 50%

There are 2 sides, one of which is tails, so
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2 years ago

to estimate the height of the jin mao tower in shanghai , a tourist sights the top of the tower form a mirror that is 86.7 meter

Ray Of Light [21]

Answer:

The height of the tower = 420.48 meters

Step-by-step explanation:

For better understanding of the solution, see the figure attached below :

Let the height of the tower be x meters

Now, using the laws of reflection : angle of reflection = angle of incidence

Also, both the tower and the tourist are standing parallel to each other

⇒ ∠A = ∠i ( Alternate interior angles are equal)

Similarly, ∠D = ∠r ( Alternate interior angles)

But, ∠i = ∠r

⇒ ∠A = ∠D

Also, the tourist and the tower is perpendicular to the ground surface.

⇒ m∠B = m∠E = 90°

Now, in ΔABC and ΔDEC

∠A = ∠D (Proved above)

m∠B = m∠E = 90°

So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC

As the sides of similar triangles are proportional to each other

$\frac{AB}{DE}=\frac{BC}{EC}\\\\\implies\frac{1.92}{x}=\frac{0.4}{87.6}\\\\\implies x=\frac{87.6\times 1.92}{0.4}\\\\\bf\implies x = 420.48\textbf{ meters}$

Hence, The height of the tower = 420.48 meters

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2 years ago

Solve v^3 = -26 where v is a real number. Simplify your answer as much as possible.

il63 [147K]

Answer:

nearby -3

Step-by-step explanation:

When v^3 is -26, your v is equal to $-\sqrt[3]{26}$ .

3^3 is 27, so v is nearby 3.

or, It would be nearby 3.9

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2 years ago