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beks73 [17]
3 years ago
11

How do you know when ratios are equivalent and when they are not equivalent

Mathematics
1 answer:
White raven [17]3 years ago
7 0
Ratios are equivalent when that can be reduced or multiplied to be the same number.
Ex) 1:4 is the same as 2:8 or 4:16
10:20 is the same as 8:16 or 1:2

They are not equivalent if you can’t do this
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What is the value of m in the figure below? If necessary,round your answer to the nearest tenth of a unit
bogdanovich [222]

Answer:

D

Step-by-step explanation:

It turns out from similar triangles, that 7/BD = BD / 18. Use triangles  ABD and BDC to show this relationship. Solving this equation will give you BD

BD^2 = 7*18

BD^2 = 126     Just leave it in this form. Do your rounding at the end.

Because triangle BDC is a right angle triangle, use the Pythagorean Theorem to solve for m

m^2 =  BD^2 + 7^2

m^2 = 126 + 49

m^2 = 175                         Take the square root of both sides.

sqrt(m^2) = sqrt(175)

m = 13.22

so the answer is D

3 0
3 years ago
The Earth completely rotates on its axis once every 24 hours.
strojnjashka [21]

Answer:

A)

62/3 = 20.67 hours

B)

60.00 hours

C)

2074.29 miles

Step-by-step explanation:

If we assume the earth is a perfect circle, then in a complete rotation the earth covers 360 degrees or 2π radians.

A)

In 24 hours the earth rotates through an angle of 360 degrees. We are required to determine the duration it takes to rotate through 310 degrees. Let x be the duration it takes the earth to rotate through 310 degrees, then the following proportions hold;

(24/360) = (x/310)

solving for x;

x = (24/360) * 310 = 62/3 = 20.67 hours

B)

In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it takes to rotate through 5π radians. Let x be the duration it takes the earth to rotate through 5π radians, then the following proportions hold;

(24/2π radians) = (x/5π radians)

Solving for x;

x = (24/2π radians)*5π radians = 60 hours

C)

If the diameter of the earth is 7920 miles, then in 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle we have;

circumference = 2*π*R = π*D

                         = 7920π miles

Therefore, the speed of the earth is approximately;

(7920π miles)/(24 hours) = 330π miles/hr

The distance covered by a point in 2 hours will thus be;

330π * 2 = 660π miles = 2074.29 miles

8 0
3 years ago
Please explain step by step! urgent!!!
Fiesta28 [93]

Answer:

264cm³

Step-by-step explanation:

Volume of figure

= (3×8×7) + (4×3×8)

= 168 + 96

= 264cm³

6 0
2 years ago
Help Me! ASAP! What is the equation of the line?
STatiana [176]
The answer is A. Y=2x+2
Because the slope is 2 and it crosses the Y axis at 2
3 0
3 years ago
Read 2 more answers
Re-Write each expression in scientific notation.
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27. =
3,500,000 x 4,000 = 14,000,000,000
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3 years ago
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