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Oksanka [162]
2 years ago
9

Find each percent increase round to the nearest percent from 86 books to 150 books

Mathematics
1 answer:
Stels [109]2 years ago
3 0
From 86 books to 150 books. An increase of 64 books.

(150 - 86) / 86 = 64 / 86 = 0.744 * 100% = 74.40% or 74% increase

150 / 86 = 1.744 * 100% = 174.40%

86 is the basis. It is 100%

If the problem asks for the value of the percentage increase and the rate is given 74.4% of 86. Then 86 * 74.4% = 64. You just add 64 to 86 to get the new total of books which is 150.
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When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is Sandy, to th
Makovka662 [10]

Answer:

The height of Sandy is 68.74 inches.

Step-by-step explanation:

It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.

Let the height of Sandy be x.

Sandy casts a shadow that is 9 feet 2 inches long.

We know that 1 feet = 12 inches

Using this conversion, we get

Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches

In a right angled triangle,

\tan\theta =\frac{perpendicular}{base}

In triangle ABC,

\tan(\angle C)=\frac{AB}{BC}

\tan(32^{\circ})=\frac{x}{110}

Multiply both sides by 110.

110\tan(32^{\circ})=x

68.73562871=x

x\approx 68.74

Therefore the height of Sandy is 68.74 inches.

8 0
3 years ago
Co...
Julli [10]

Answer:

16

Step-by-step explanation:

Multiplecation by the length width, and the height, then divide and its 16.

8 0
3 years ago
What is the volume of a box measuring 1mX5mX6m?
Flauer [41]

Hey!

To find volume, you have to multiply the length, width, and height. All you have to do is multiply the 3 numbers together.

1 \times 5 \times 6 = 30

<em>The volume is 30 m³.</em>

Good luck and hope this helps! :)

6 0
3 years ago
Please help I am confused will give brainly. Not sure how to find the measurements of 2, 3 and 4
antiseptic1488 [7]

Answer:

2: 99° 3: 81° 4: 81°

Step-by-step explanation:

2 is supplementary to 1 so subtract 81 from 180 = 99.

3 is vertical angle with 1 so they are equal

4 is alternate interior angle with 3 so they are equal

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4 0
3 years ago
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Solve the expression (-24) + (+6)​
ASHA 777 [7]

Answer:

-18

Step-by-step explanation:

The answer is -18 because a negative plus a positive is always a negative.

8 0
3 years ago
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