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3 years ago

Find the volume of this hemisphere. Round your answer to two decimal places.

Mathematics

2 answers:

Serhud [2]3 years ago

6 0

Answer:

$1263.66ft^3$

Step-by-step explanation:

$Volumesphere=\frac{4}{3} *\pi *r^3$

$\frac{4}{3} *\pi *(\frac{16.9}{2}) ^3\\volume sphere= 2527.31128245\\Volume hemisphere= \frac{volumesphere}{2} \\Volume hemisphere= \frac{ 2527.31128245}{2} \\Volume hemisphere= 1263.65564122\\Rounded= 1263.66$

jok3333 [9.3K]3 years ago

4 0

Answer: 5

Step-by-step explanation:

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Civil an airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. the airport

vekshin1

Answer:

<em>The shortest possible length for the service road is 2.88 miles.</em>

Step-by-step explanation:

According to the below diagram, $A, B$ and $C$ are the positions of airport, shopping center and factory respectively.

Given that, $AB= 3.6 miles, BC= 4.8 miles$ and $AC= 6.0 miles$

In right triangle $ABC$

$tan(\angle ACB)=\frac{AB}{BC} \\ \\ tan(\angle ACB)= \frac{3.6}{4.8}=0.75\\ \\ \angle ACB= tan^-^1(0.75)=36.8698.... degree$

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is $BD$ .

That means, $\triangle BCD$ is also a right triangle in which $\angle BDC=90\°$ , Hypotenuse $(BC)= 4.8$ miles and $BD$ is the opposite side in respect of $\angle DCB$ or $\angle ACB$ .

Now in right triangle $BCD$

$Sin(\angle ACB)=\frac{BD}{BC}\\ \\ Sin(36.8698...)=\frac{BD}{4.8}\\ \\ BD=4.8*Sin(36.8698...)=2.88$

So, the shortest possible length for the service road is 2.88 miles.

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4 years ago

The sales tax in the town where Amanda lives is 6%. Amanda paid $18 in sales tax on a new stereo. What was the price of the ster

Lubov Fominskaja [6]

If there is 6 percent sales tax, that means for every dollar the item you bought was ($18) there will be 6 cents added to it. So you would take 6 percent of or times 18 dollars which is 1.08. Then add those two together to get
Final answer. The stereo is $19.08 dollars.

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4 years ago

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Inessa [10]

Answer: 18 :)

Step-by-step explanation:

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4 years ago

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Find the length of ac if the adj is 7cm and opposite angle is 68

DochEvi [55]

Answer:

How do you find the missing angles when the sides of a right triangle are given? ... that is part of the angle, and the hypotenuse is the side opposite the right angle, ... cos(A)=ac. Which rearranges to;. c=acos(A). If you know the length of both ... the angle of elevation to the top of the building is 68°.

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4 years ago

cook books have recipes that are designed for 4 people. if a particular recipe in a cook book calls for 3 eggs, how many eggs wo

kolezko [41]

Answer:

10.5

Step-by-step explanation:

If the recipe is designed for 4 people than you would need 6 eggs for 8 people (8 is twice as many as 4 so you need twice as many eggs.) similarly, 14 is 3.5 times as many as 4 (14/4=3.5) so you would need 3x3.5=10.5 eggs.

Not sure how that works but I hope this helped!

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4 years ago