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Anika [276]
2 years ago
8

Tap A can fill 4 pails in 55 seconds.

Mathematics
1 answer:
rewona [7]2 years ago
7 0

Answer:

Below in bold.

Step-by-step explanation:

Work in times to fill 1 pail:-

tap A takes 55/4 seconds

tap B takes 50/3 seconds

Let time to fill one pail be x when filling together, then:

3/50 + 4/55 = 1/x

165x + 200x = 55*50

x = 2750 /(365) = 7.5342 seconds

To fill 16 pails it takes 7.5342* 16

= 120.55 seconds

= 2 minutes 1 second to the nearest second..

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3 years ago
The formula for the slant height of a cone is , where S is surface area of the cone. Use the formula to find the slant height, l
liq [111]

we know that

The formula of the surface area of the cone is equal to

SA=\pi r^{2}+\pi rl

where

SA is the surface area

r is the radius of the cone

l is the slant height

in this problem we have

SA=500\pi\ ft^{2}\\r=15\ ft\\l=?

Solve the formula for l

SA=\pi r^{2}+\pi rl\\ \\\pi rl=SA-\pi r^{2} \\ \\l=\frac{SA-\pi r^{2} }{\pi r}

substitute the values

l=\frac{500\pi -\pi 15^{2} }{\pi15}\\ \\l=\frac{275}{15}\ ft\\ \\l=\frac{55}{3}\ ft\\ \\l=18\frac{1}{3}\ ft

therefore

<u>the answer is</u>

The slant height is 18\frac{1}{3}\ ft

7 0
4 years ago
Read 2 more answers
What is the formula for surface area? Giving brainliest to the correct answer
Kitty [74]

Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area

5 0
3 years ago
What is the value of d?<br><br><br>Round your answer to the nearest tenth.
Sergeeva-Olga [200]

Answer:

11.9 mm

Step-by-step explanation:

We can find d by applying the cosine rules.

d²  = 21² + 27² - 2(21)(27) cos (25)

d²  = 441 + 729 - 1027.75

d²  = 142.25

d = √142.25

d = 11.9 mm (nearest tenth)

5 0
3 years ago
What is the answer to the equation 7x=35
Inessa05 [86]

You want to get x on one side so you divide both sides by 7 and 35/7 = 5

7 0
4 years ago
Read 2 more answers
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