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adell [148]
3 years ago
13

EASY MATH PROBLEMS! #8 and #10

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0
8. volume of cylinder is pi*r^2*h
So V= pi * (radius)^2 * height =720* pi

we know circumference = 2 * pi * r

if we look at first equation. We can edit it like
pi * r * r * h

now we can say it kind of looks like circumference equation but missing 2 so we multiply both sides by 2
2 * pi * r * r * h = 2 * 720 * pi

We can take out the 2 * pi * r and put in circumference (C)

c * r * h = 1440 * pi

We we know h is 20 so

c * r * 20 = 1440 * pi
c * r = 72 * pi

we have to solve for r first so break circumference back up

2 * pi * r * r = 72 * pi

r * r = 36
r = 6

plug into circum equation
C = 2 * pi * 6
C = 12 * pi


10. I assume the cylinders fill uo the box and if radius is 1.5 then diameter is 3. There are 5 in a row some 3 * 5 = 15 box length.
2 in a column so 2 * 3 = 6 box width
the height is 5

So
l * h * w = V

6 * 5 * 15 =V

V = 450
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Softa [21]

Answer:

$3.74

Step-by-step explanation:

we already know the cost of the banana's and it gives us the total price including apples. So $5.24 - $1.50 = $3.74, and the 3.74 is the cost of apples

4 0
2 years ago
1){(-8,-10), (-2,0), (1,10), (4,0)}<br> Domain=<br> Range-<br> Function?
adoni [48]

Answer:

domain(-8. -2. 1 4

range( -10 0 10 0

and the the given exp is function

8 0
3 years ago
A circular piece of fabric has a radius of 1.2 ft. The fabric sells for $5.40 per ft². What is the total cost of the circular pi
Kisachek [45]
The answer is $24.41

Step 1. Calculate the area of the <span>circular piece of fabric.
Step 2. Multiply the area of the piece by the price of </span><span>$5.40 per ft² to get the total cost.

Step 1.
The area (A) of the circle with radius r is:
A = </span>π r²
π = 3.14
r = 1.2 ft

A = 3.14 * (1.2 ft)²
A = 3.14 * 1.44 ft²
A = 4.52 ft²

Step 2.
Make a proportion
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4.52 ft² cost x

1 ft² : $5.40 = 4.52 ft² : x
x = 4.52 ft² * $5.40 / 1 ft²
x = $24.41
3 0
3 years ago
One reading at an Arctic research station showed that the temperature was -35 Celsius.what is this temperature in degrees Fahreh
dem82 [27]
-31F because of the formula.
-35°C multiplied by 9/5 +32 = -31°F
~JZ
Hope it helps

8 0
3 years ago
A company introduces a new product for which the number of units sold S is
KonstantinChe [14]
(a) The "average value" of a function over an interval [a,b] is defined to be 

(1/(b-a)) times the integral of f from the limits x= a to x = b. 

Now S = 200(5 - 9/(2+t)) 

The average value of S during the first year (from t = 0 months to t = 12 months) is then: 

(1/12) times the integral of 200(5 - 9/(2+t)) from t = 0 to t = 12 

or 200/12 times the integral of (5 - 9/(2+t)) from t= 0 to t = 12 

This equals 200/12 * (5t -9ln(2+t)) 

Evaluating this with the limits t= 0 to t = 12 gives: 

708.113 units., which is the average value of S(t) during the first year. 


(b). We need to find S'(t), and then equate this with the average value. 

Now S'(t) = 1800/(t+2)^2 

So you're left with solving 1800/(t+2)^2 = 708.113 

<span>I'll leave that to you</span>
6 0
3 years ago
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