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My name is Ann [436]
3 years ago
10

2. Find the volume of the cylinder pictured below. Use 3.14 for pi. Give your answer to the nearest tenth. Show your work to rec

eive full credit
Volume =


3.Find the volume of the sphere pictured below. The sphere has a radius of 20 cm. Use 3.14 for pi. Give your answer to the nearest tenth. Show your work to receive full credit.
Volume=

Mathematics
1 answer:
Blababa [14]3 years ago
7 0
Question 2

------------------------------------------------------------------------------------------
Formula
------------------------------------------------------------------------------------------
Volume of the cylinder = πr²h

------------------------------------------------------------------------------------------
Find Radius
------------------------------------------------------------------------------------------
Radius = Diameter ÷ 2
Radius = 10 ÷ 2
Radius = 5 ft

------------------------------------------------------------------------------------------
Find Volume
------------------------------------------------------------------------------------------
Volume = πr²h
Volume = 3.14 x 5² x 21
Volume = 1648.5 ft³

------------------------------------------------------------------------------------------
Answer: Volume = 1648.5 ft³
------------------------------------------------------------------------------------------

Question 3

------------------------------------------------------------------------------------------
Formula
-----------------------------------------------------------------------------------------
Volume of a sphere = 4/3πr³

------------------------------------------------------------------------------------------
Find Volume
------------------------------------------------------------------------------------------
Volume = 4/3 x 3.14 x 20³
Volume = 33493.3 ft³ (nearest tenth)

------------------------------------------------------------------------------------------
Answer: Volume = 33493.3 ft³ 
------------------------------------------------------------------------------------------
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In a 30-60-90 triangle, the length of the hypotenuse is 17. Find the length of the side opposite the 30 degree angle.
cluponka [151]

Step-by-step explanation:

we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem

the length of the side opposite the 30 angle is 17/2

talking about exercise on the photo the answer is

8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.

Now lets use pythagorean theorem

x^2+y^2=z^2

z is hypotenuse

8^2+y^2=16^2

64+y^2=256

y^2=256-64

y^2=192

y=8√3

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3 years ago
3a≥ -6<br> solve for a <br> PLEASE
ddd [48]

Answer: Divide each term in 3 a ≥ − 6 by 3 . 3 a 3 ≥ − 6 3 Cancel the common factor of 3 . Tap for more steps... a ≥ − 6 3 Divide − 6 by 3 . a ≥ − 2 The result can be shown in multiple forms. Inequality Form: a ≥ − 2 Interval Notation: [ − 2 , ∞ )

5 0
2 years ago
The table shows interest owed for a home improvement loan based on how long it takes to pay off the loan.
Alexxandr [17]
Remember that  the formula for simple interest is:
I=prt
Where I is the interest to paid, p is the loan, r is the interest rate (in decimal), and t is the time (in years).

A. We know that the interest rate for a loan of 9 months is 2.9%, but we need to convert that rate to decimal. To do that just divide the interest rate by 100%:
\frac{2.9}{100} =0.029
Next, we are going to find the time t in years. Since the period of time is 9 months, we are going to dive by 12, the number of months in a year, to obtain the time in years:
t= \frac{9}{12} =0.75
Now, we just need to replace the values in our formula to find the interest owned:
I=(900)(0.029)(0.75)=19.58
We can conclude that <span>the interest owed for a home improvement loan of $900 after 9 months is $19.58.
</span>
B. Similarly:
r= \frac{3.1}{100} =0.031
t= \frac{18}{12} =1.5
I=(2500)(0.031)(1.5)=116.25
We can conclude that the interest owed for a home improvement loan of $2500 after 18 months is $116.25.

C. Similarly:
r= \frac{2.4}{100} =0.024
t= \frac{6}{12} =0.5
I=(5600)(0.024)(0.5)=67.2
We can conclude that the interest owed for a home improvement loan of $5600 after 6 months is $67.2
7 0
3 years ago
What is the area of this triangle?
fredd [130]

Answer:

i think it's 16

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The coordinates of the 3 of the vértices of a parallelogram are (-7, 3), (-6, 1), and (-4, 5). What is the equation for the line
Natali [406]

We know, opposite sides are parallelogram is parallel, therefore slopes are equal.

Slope of line one :

m=\dfrac{-7-(-6)}{3-1}\\\\m =\dfrac{-1}{2}\\\\m= -0.5

So, equation of other line passing through (-4,5) and have slope of -0.5 is :

y-5 = -0.5( x-(-4))

y-5 = -0.5x - 2

y  + 1/2x = 3

2y + x = 6

Therefore, equation of line containing the (-4, 5) is 2y + x = 6.

Hence, this is the required solution.

6 0
3 years ago
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