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Vlad [161]
3 years ago
6

How would I show 2/5 as a division problem? Please explain using complete sentences.

Mathematics
1 answer:
Temka [501]3 years ago
3 0

If you mean to ask how you divide 2 by 5, then consider instead dividing 20 by 5, then divide that result by 10 (which is as simple as moving a decimal point to the left)

We have 20/5 = 4, then 4/10 = 0.4.

Why does this work? All we're doing is multiplying by 1 in the form of 10/10, then moving around factors within the product:

2/5 = 2/5 * 10/10 = (2*10)/5 * 1/10 = 20/5 * 1/10 = 4/10 = 0.4

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In ΔSTU, the measure of ∠U=90°, the measure of ∠T=32°, and US = 5.8 feet. Find the length of ST to the nearest tenth of a foot.
murzikaleks [220]

Answer:

10.9451≈10.9 feet

Step-by-step explanation:

sinT= hypotenuse/ opposite = x/5.8

sin32= x/5.8

x*sin 32=5.8

x=5.8/sin 32= <u>10.9451≈10.9 feet</u>

8 0
3 years ago
What is the difference 1/8-3/10. A. -7/40 B.-3/40 C. 7/40 D. 17/40
mrs_skeptik [129]
The answer is A. -7/40.

1. Make sure the (the denominators) are the same
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6 0
3 years ago
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igomit [66]

Answer:

x = 18√3

Step-by-step explanation:

From the picture attached,

In a right triangle,

Measure of one angle = 30°

Measure of adjacent side of the angle = 9 units

We have to find the measure of Hypotenuse from the given properties.

By cosine rule,

cos(30°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{\sqrt{3}}{2} =\frac{9}{x}

x=18\sqrt{3}

Therefore, measure of Hypotenuse is 18√3 units.

3 0
3 years ago
6) Triangle RST has vertices R(2,3), S(5. -1), and T(3, -4). The triangle is rotated 90° counterclockwise about the origin. Whic
Contact [7]

Answer:

  • T'(4, 3)

Step-by-step explanation:

<u>The rule of 90° counterclockwise rotation about the origin:</u>

  • (x, y) → (-y, x)

<u>Apply the rule to the point T:</u>

  • T(3, -4) → T'(4, 3)
3 0
3 years ago
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5,000 people visited a bookfair in the first week. The numbers increased by 10% in the second week. how many people visited the
lorasvet [3.4K]

Answer:

5500

Step-by-step explanation:

5000 + (10 / 100) x 5000 = 5000 + (1/10) x 5000 = 5000 +500= 5500 people visted the book fair in the second week

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3 years ago
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