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lana [24]
3 years ago
15

Susan swims a race in 29 7/10 seconds.patty swims at the race in 33 1/5 seconds. How much faster was Susan than patty

Mathematics
1 answer:
Lesechka [4]3 years ago
5 0

Answer: 3.5

Step-by-step explanation:  33.20-29.7

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At the zoo, 3 pandas eat a total of 181 1/2 pounds of bamboo shots each day. The male panda eats 3 times as much as the baby. Th
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3 years ago
Write in point-slope form the equation of the line that is parallel to the given line and passes through the given point.Your fi
SOVA2 [1]

Answer:

y = x

Step-by-step explanation:

The given equation is

y = x + 5

The slope of this line

m = 1

Since all parallel lines have the same slope, the slope of our line is also m=1.

We now use the point-slope formula

y-y_1=m(x-x_1)

Since the line passes through (-1,-1)

We gave

x_1=-1,y_1=-1

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y -  - 1 = 1(x -  - 1)

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6 0
3 years ago
Consider angle θ in Quadrant II, where sinθ = 4/5 . What is the value of cosθ?
Kay [80]

Answer:

3/5

Step-by-step explanation:

sin theta=opposite/hypotenuse

4/5=opposite/hypotenuse

therefore opposite=4 and hypotenuse=5

for adjacent

using pythagoras theorem

a^2+b^2=c^2

opposite^2 + adjacent^2 =hypotenuse^2

4^2 + adjacent^2 =5^2

16 + adjacent^2 =25

adjacent^2 =25-16

adjacent =\sqrt{9

adjacent=3

cos theta=adjacent/hypotenuse

=3/5

therefore the value of cos theta is 3/5

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Free_Kalibri [48]
#5) 7.065 sq. ft.
#6) 36 ft
#7) 200.96 sq. ft.
#8) 176.625 sq. ft.

Explanation
#5) Converting 18 inches to feet, 18/12 = 1.5.  The area of the circle would be given by A=3.14(1.5)² = 3.14(2.25) = 7.065 sq. ft.

#6) The radius is 18 inches, so the diameter is twice that:  18*2 = 36 inches.  Converting this to feet, we have 36/12 = 3 feet.  Each stone is 3 feet across.  Laying 12 of them against each other would give us a total length of 12*3 = 36 feet.

#7) The radius of the entire mirror with frame is 20/2 = 10.  The area of the entire mirror with frame is A=3.14(10²) = 3.14(100) = 314 in².
The area of the mirror without the frame is A=3.14(6²) = 3.14(36) = 113.04 in².

The difference between the two will give the area of the frame:
314-113.04 = 200.96 in²

#8) The area of the circular region is given by A=3.14(7.5²) = 176.625 ft²
6 0
3 years ago
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