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Alex
3 years ago
13

A coffee roaster is designing a coffee that can be modeled with a right cylinder for it's new breakfast blend. Breakfast blend c

ost the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given the height of the can is to be equal to its diameter, what is the maximum height allowed for the can? Round to the nearest tenth of an inch.
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
4 0

Answer: 4.3

Step-by-step explanation:

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The measure of one angle of a right triangle is 12 degrees more than the measure of the smallest angle. Find the measures of all
Svet_ta [14]

Answer:

90°, 51° and 39°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Let the smallest angle be x then the other angle is x + 12, thus

x + x + 12 + 90 = 180, that is

2x + 102 = 180 ( subtract 102 from both sides )

2x = 78 ( divide both sides by 2 )

x = 39

The other angle is 39 + 12 = 51

The 3 angles are 90°, 51° and 39°

8 0
3 years ago
The roof of a gazebo is a regular octagonal pyramid. If the base of the pyramid has sides of 0.5 meters and the slant height of
Kaylis [27]

Answer:

The area of the roof is 3.80 m².

Step-by-step explanation:

The lateral surface area of an octagonal pyramid is given by:

A = 2s(\sqrt{4h^{2} + 5.828s^{2}})   (1)

Where:

s: is the length of the base edge = 0.5 m

h: is the height                                                                                                      

We can find the height from the slant height (S = 1.9 m):

S = \sqrt{h^{2} + 1.457s^{2}}   (2)

By solving equation (2) for "h" we have:

h = \sqrt{S^{2} - 1.457s^{2}} = \sqrt{(1.9)^{2} - 1.457(0.5)^{2}} = 1.80 m

Now, we can calculate the area of the roof (equation 1):

A = 2s(\sqrt{4h^{2} + 5.828s^{2}}) = 2*0.5(\sqrt{4(1.80)^{2} + 5.828(0.5)^{2}}) = 3.80 m^{2}

Therefore, the area of the roof is 3.80 m².

I hope it helps you!        

8 0
3 years ago
(PLEASE HELP ASAP!! 50 POINTS! question in the image)
sweet [91]
ANSWER: 8x^4 +64x^3 + 98x^2 +30x


Work in image.

4 0
3 years ago
Ek=1/2mv^2 solve for v
Mandarinka [93]

Answer: it's a '40.0-kg object, not a 40.4-kg object, which would explain why the answer is different.


Step-by-step explanation:


6 0
3 years ago
You type at a speed of
IgorC [24]
The answer is 78!
(your speed x how much faster your teacher types)
32.5 x 2.4
8 0
4 years ago
Read 2 more answers
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