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2 years ago

A certain flagpole that is 298 feet tall casts a shadow 139 feet long. Find the angle of elevation on the sun.

Mathematics

1 answer:

Svetllana [295]2 years ago

4 0

Answer:

57.6159 round if needed

Step-by-step explanation:

We know the length of the triangle which is 298. We know the base of the triangle which is 189.

We need to find angle of elevation so we must use tangent function.

$\tan(x) = \frac{298}{189}$

Use inverse tan function

$\tan {}^{ - 1} ( \frac{298}{189} ) = 57.6159$

Round if needed.

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A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height

Lady_Fox [76]

Problem

A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.

By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent.

Solution

the volume of a cylinder is given by:

$V=\pi r^2h$

We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:

$V=\pi(1.15r)^2\cdot(1.15h)=1.15^2\cdot1.15\cdot\pi\cdot r^2\cdot h=1.52\pi r^2h$

And the new volume would increase about 52%

5 0

1 year ago

John runs to the market and comes back in 15 minutes. His speed on the way to the market is 5m/s and his speed on the way back i

katen-ka-za [31]

Answer:

The distance to the market is 2000 m

Step-by-step explanation:

∵ John runs to the market and comes back in 15 minutes

→ Change the min. to the sec. because the unit of his speed is m/s

∵ 1 minute = 60 seconds

∴ 15 minutes = 15 × 60 = 900 seconds

→ Assume that t1 is his time to the market and t2 is his time from

the market

∵ t1 + t2 = 15 minutes

∴ t1 + t2 = 900 ⇒ (1)

→ Assume that the distance to the market is d

∵ His speed on the way to the market is 5m/s

∵ Time = Distance ÷ Speed

∴ t1 = d ÷ 5 ⇒ (1 ÷ 5 = 0.2)

∴ t1 = 0.2d ⇒ (2)

∵ His speed on the way back is 4m/s

∴ t2 = d ÷ 4 ⇒ (1 ÷ 4 = 0.25)

∴ t2 = 0.25d ⇒ (3)

→ Substitute (2) and (3) in (1)

∵ 0.2d + 0.25d = 900

∴ 0.45d = 900

→ Divide both sides by 0.45

∴ d = 2000 m

∴ The distance to the market = 2000 m

8 0

3 years ago

50 POINTS!!!!

amid [387]

The answer is 503.39

Hope this helps

3 0

2 years ago

Four tanks each had 54 litres and 750ml. what is their total capacity in litres

Furkat [3]

Answer: 219 I beleive

Step-by-step explanation: 54(4)+(.750)4=219

5 0

2 years ago

Read 2 more answers

-2x-y=-5 In slope intercept form please! :)

schepotkina [342]

Answer:

-2x - y = -5 in slop intercept form would be <u>y = -2x + 5 </u>

Step-by-step explanation:

-2x - y = -5

first add -2x to the left side to move it to the right side because whatever you do to one side u do to the other.

-y = -5 + 2x

divide by -1 on the whole equation

y = -2x + 5 is your answer.

8 0

2 years ago