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slamgirl [31]
4 years ago
11

If a 36-inch yardstick casts a 21-inch shadow, how tall is a building with a 168 foot shadow?

Mathematics
1 answer:
frozen [14]4 years ago
4 0

The sun must be very low in the sky, as a 24foot building would cast the 168-foot shadow.

Explanation:

Always be careful that the units of your calculation are consistent. It is a common trick in word problems to see if you are attentive.
It is best to stay in feet rather than inches in this problem.
The 36 inches is equal to 3 ft.

I prefer to just use a proportion to solve:
<span>3/21</span> = <span>x/168</span> Using cross products we calculate x = 24 ft

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Help please. I attempted, but I couldn't succeed.
german

Answer:

y=(3/2)x+-14

First blank: 3

Second blank:2

Last blank:-14

Step-by-step explanation:

The line form being requested is slope-intercept form, y=mx+b where m is slope and b is y-intercept.

Also perpendicular lines have opposite reciprocal slopes so the slope of the line we are looking for is the opposite reciprocal of -2/3 which is 3/2.

So the equation so far is

y=(3/2)x+b.

We know this line goes through (x,y)=(4,-8).

So we can use this point along with our equation to find b.

-8=(3/2)4+b

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The line is y=(3/2)x-14.

3 0
3 years ago
Calculate the slope of the line that passes through (3,2) and (−7,4)
34kurt

Answer:

-1/5

Step-by-step explanation:

It has a rise of 2 and a run of -10, therefore it is a slope of -2/10 or -1/5

8 0
3 years ago
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Grandpa Mick opened a pint of ice cream. He gave his youngest grandchild 1/5 of the ice cream and his middle grand child 1/4 of
aliya0001 [1]

Answer:

13/60 was left of the ice cream.

Step-by-step explanation:

4/5 was left after the first, which can also be written as 16/20. 16/20 - 1/4 (also written as 5/20), which leaves 11/20 which can also be written as 33/60. 33/60 - 1/3 (also written as 20/60) which leaves 13/60 left.

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Answer:

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Step-by-step explanation:

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