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3 years ago

There are 3ft in 1 yard. This is equivalent to 12ft in 4yrds.Which proportion can be used to represent this?

Mathematics

1 answer:

harina [27]3 years ago

5 0

You could use the proportion 3:1.

Per 3 feet, there is 1 yard.

For every 3 feet, there is an additional yard.

The ratio is 3 to 1, or 3:1

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What is the slope of the line?

riadik2000 [5.3K]

Answer:

The slope of the line must be 3

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

we know that

The volume of a rectangular prism is equal to

$V_r_p=Bh$ ----> equation A

where

B is the area of the base of the prism

h is the height of the rectangular prism

step 2

The volume of a square pyramid is equal to

$V_s_p=\frac{1}{3}Bh$ -----> equation B

where

B is the area of the square base of pyramid

h is the height of the pyramid

step 3

substitute equation A in equation B

$V_s_p=\frac{1}{3}V_r_p$

Find the relationship between the volume of a rectangular prism and the volume of a square pyramid

$\frac{V_r_p}{V_s_p}=3$

therefore

The slope of the line must be 3

let's check it

To solve for the slope of the line, you must choose two coordinates first and use the formula

$m=\frac{y2-y1}{x2-x1}$

Choosing the points (2,6) and (3,9)

substitute

$m=\frac{9-6}{3-2}=3$ ----> is correct

8 0

3 years ago

What is the value of Z?

sukhopar [10]

Answer:

Step-by-step explanation:

Both x and y are inscribed angles. The value of an inscribed angle is half the measure of its intercepted arc. This means that x has a value of 33°, and y has a value of 48°. That means that, according to the triangle angle sum theorem, the third angle has to equal 180 - 33 - 48 = 99°.

This angle is vertical with angle z, so angle z also equals 99°

5 0

3 years ago

Write down a formula for the nth term for each number pattern below

tresset_1 [31]

Answer:

Step-by-step explanation:

$a_{n} =2(2n+1)$