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Serga [27]
3 years ago
11

Find the volume of the hemisphere below leave your answers in terms of pi

Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

volume of the hemisphere

\frac{2}{3}  \times \pi \times  {r}^{3}  \\  \frac{2}{3} \times \pi  \times  1331 \\  = 887.3333333333\pi

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1.Which postulate or theorem can you use to prove Triangle ABE = Triangle CDE?
stira [4]

Answer:

AAS Postulate.

Step-by-step explanation:

The AAS Postulate states that if 2 angles and a non-included side are congruent on both triangles, then the two triangles are equivalent.

In this case, the first Angle is: ∠B ≅ ∠D (Given, both are 90° in measurement)

For the side: Line BE ≅ line DE (Given)

∡BEA ≅ ∡DEC (Definition of Vertical Angles)

AAS Postulate is therefore used.

~

6 0
3 years ago
AB is tangent to O. If AO = 24 and BC = 27, what is AB?
Alenkinab [10]
The answer should be a, 45
8 0
3 years ago
Read 2 more answers
Find the y-intercept
gizmo_the_mogwai [7]

Answer:

4

Step-by-step explanation:

7 0
3 years ago
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Task 1 a Real State company sells plots of land.The plot shown at the right cost $84,120. What is the price per square foot of t
Agata [3.3K]

Answer:

The price is $1.6 per square foot of the land

Step-by-step explanation:

step 1

Find the area of the plot of land

we know that

The area of the plot of land is equal to the area of trapezoid 1 plus the area of trapezoid 2

see the attached figure to better understand the problem

Remember that

The area of a trapezoid is equal to

A=\frac{1}{2}[b1+b2]h

<em>Find the area of trapezoid 1</em>

we have

b1=125\ ft

b2=265\ ft

h=260-150=110\ ft

substitute

A1=\frac{1}{2}[125+265](110)

A1=21,450\ ft^{2}

<em>Find the area of trapezoid 2</em>

we have

b1=150\ ft

b2=265\ ft

h=150\ ft

substitute

A2=\frac{1}{2}[150+265](150)

A2=31,125\ ft^{2}

The area total of the land is

A=A1+A2

A=21,450+31,125=52,575\ ft^{2}

step 2

Find the price per square foot of the land

Divide the total cost by the total area

\frac{84,120}{52,575}=1.6\frac{\$}{ft^{2}}

5 0
4 years ago
Find the area of a circle with radius, r = 41cm. Give your answer rounded to 3 SF.
joja [24]

Answer:

5283.143 cm^2

Step-by-step explanation:

Area =πr^2

22/7*41*41

=5283.143cm^2

5 0
3 years ago
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