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Novosadov [1.4K]
2 years ago
8

What are the values of sin α and tan α, if α is an acute angle in a right triangle: cosα= 5/13

Mathematics
1 answer:
alisha [4.7K]2 years ago
8 0

Answer:

sin = 12/13 and tan = 12/5

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A pharmacist put 4.536 ounces of vitamin pills into bottles. She put 0.042 ounce of vitamin pills into each bottle.
ValentinkaMS [17]

Answer:

108 bottles

Step-by-step explanation:

4.536 divided by .042 equals 108

5 0
3 years ago
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Kyle is pulled back on a swing so that the rope forms an angle of 30° with the vertical. The distance from the top of the swing
olga_2 [115]
This would be 12 - 12*cos(30) = 12 - 6\sqrt{3} =  1.608 ft off the ground. 
6 0
3 years ago
Darius is a graphic designer he makes a sign for a company that has a width of 2 feet and a length of 2 feet 6 inches the compan
Sav [38]

Answer:

\frac{1}{3}

Step-by-step explanation:

Width of the sign made by Darius initially = 2 feet

Length of the sign = 2 feet 6 inches

Dimension of the flyer are 10 inches by 8 inches. Since, in original sign the measure of length is greater, therefore, the length of flyer is 10 inches and its width is 8 inches.

In order to find the scale factor we must convert the lengths and widths to same units. Lets convert the length and width of sign into inches.

Since, 1 feet = 12 inches

Length of the sign = 2 feet 6 inches = 2(12) + 6 inches = 30 inches

Width of the sign = 2 feet = 2(12) inches = 24 inches

Now we can find the scale factor by either comparing the lengths or widths of both the designs. Scale factor will be equal to the ratio of corresponding lengths/widths.

So, the scale factor would be:

Length of Flyer : Length of Sign

= 10 inches : 30 inches

= 1 : 3

= \frac{1}{3}

This shows, the length of flyer is \frac{1}{3} times as that of the sign. So, the scale factor that Darius must use is \frac{1}{3}. The length and width of the flyer are \frac{1}{3} as that of the sign.

The same scale factor would result if we would have used the ratio of widths instead of the lengths.

Scale Factor = Width of Flyer : Width of sign

= 8 : 24

= 1 : 3

Therefore, Darius must type the scale factor of \frac{1}{3} in his computer to get the size of the flyer.

7 0
2 years ago
URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE IN LESS THAN 12 MINS
Anettt [7]

Answer:

28.26m^2 (aka. 28.26 meters squared)

Step-by-step explanation:

The area of a circle is A=pi*r^2 where r is the radius of the circle.

Since r=3, then A=pi*3^2=9pi=28.26

Therefore, the area of the merry-go-round is 28.26 square meters

6 0
2 years ago
if you want to make a rectangular prism out of cardboard without overlapping cardboard. it has the length of 3 feet the width of
Phantasy [73]

The surface area of a rectangular prism is given by

... S = 2(LW +H(L+W))

For your dimensions, the surface area is

... S = 2(3·1 + 2(3+1)) = 2(3 + 8) = 22 . . . ft²

8 0
3 years ago
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