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professor190 [17]
4 years ago
6

Arnold’s entire workout consisted of 10 minutes of warm-up exercises, 25 minutes of lifting weights, and 15 minutes on the tread

mill. What was the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout?
Mathematics
2 answers:
lilavasa [31]4 years ago
8 0

Answer:

1 to 2

1:2

1/2

Step-by-step explanation:

Ratios can be written in three forms:

A to B

A:B

A/B

Ratios are also simplified by reducing to lowest terms like fractions are.

This problem's ratio is:

minutes lifted weights to total minutes workout

The number of minutes lifting weights is in the question: 25.

To find the total minutes of his workout, add the number of minutes he spent for all of the activities:

Total minutes = warm-up + lifting weights + treadmill

Total minutes = 10 + 25 + 15

Total minutes = 50

The ratio before simplifying is 25/50.

This ratio can be reduced to lowest terms. Both sides are divisible by 25.

25/25 = 1

50/25 = 2

The ratio in lowest terms is 1/2.

It can also be written as 1 to 2 or 1:2.

Sergeeva-Olga [200]4 years ago
6 0

Answer:

1:2

Step-by-step explanation:

Find the ratio of the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout and simplify it

25:10+25+15

25:50

1:2

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Step-by-step explanation:

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3 0
3 years ago
Given: △KLM, LM=20 3 <br> m∠K=105°, m∠M=30°<br> Find: KL and KM
hjlf

Okay, so the angle of K is 45° (180 - 135).

Draw a line that goes straight down from angle L and let's say that point is point Z. You can see that this triangle can be separated into two special triangles: the 45 45 90 triangle on the left (ΔLKZ) and the 30 60 90 triangle (ΔLMZ) on the right.

I don't know if you've learned this yet (just google them if you're confused):                                                                       - for a 45 45 90 triangle the sides are x, x, and x√2.                                                 - for a 30 60 90 triangle the sides are x, 2x, and x√3.

Since we know that LM is 20√3, using the 30 60 90 trick, you can see that LZ is 10√3 and MZ is 30.

Next, since LZ is 10 sqrt(3), using the 45 45 90 trick, <em>KL is 10√6</em> and KZ is 10 sqrt(3). Therefore, KM = KZ + MZ = <em>10√3 + 30</em>

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Answer:

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Step-by-step explanation:

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