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lbvjy [14]
3 years ago
11

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only) (6 points) 0 13

Р.​

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0

y = 52.02°

Step-by-step explanation:

Use the definition of the cosine of angle y:

cos y = adj/hyp = 8/13

or

y = arccos (8/13) = 52.02°

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The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 20π centimeters. Which measurement i
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Answer: 2514.28\ cm^3

Step-by-step explanation:

Given

The height of the cylinder is h=8\ cm

Circumference of the base is 20\pi \ cm

suppose 'r' is the radius of the cylinder

\Rightarrow 2\pi r=20\pi\\\Rightarrow r=10\ cm

The volume of a cylinder is V=\pi r^2h

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The gallons of water used to take a shower varies directly with the number of minutes in the shower. If a 6 minute shower uses 3
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Answer:

You use 6 gallons of water per minute.

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3 years ago
4 coffees and 12 lattes. Costs $61
Gala2k [10]

Answer:

Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = c

∴ 4 coffees cost = 4c and 12 coffee cost = 12c

∵ 1 latte cost = l

∴ 12 lattes cost = 12l and 7 lattes cost = 7l

Now, as per question:

4c+12l=61-----1\\12c+7l=59.75----2

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

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If a central angle measures 25, then the measure of its intercepted arc is
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Medida do angulo central = medida do arco interceptado
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Is it true that for any two nonzero integers the product and quotient have the same sign?
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<span>The rule of signs is the same for multiplication and division. Two numbers with the same sign, multiplied or divided, the answer is positive. Two numbers with different signs, multiplied or divided, the answer is negative. </span>
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