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pogonyaev
3 years ago
7

Benton has an extension ladder than can only be used at a length of 10 feet, 15 feet, or 20 feet. He places the base of the ladd

er 6 feet from the wall and needs the top of the ladder to reach 8 feet.
Which ladder length would Benton need to use to reach this height on the wall?

A. 10 feet
B. 15 feet
C. None of these ladder lengths would reach this height.

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0
A. 10 feet.

Think of it like this:

The wall is upright, it's 90° and it's 8 feet high. The distance from the bottom of the ladder to the bottom of the wall (along the ground, which is perpendicular to the wall) is 6 feet. When Benton places the base of the ladder 6 feet away from the wall and the top is resting at the top of the wall, it looks like a triangle, right?

Using pythagoras (this rule about right-angled triangles and stuff), we can already see that the two sides when simplified are 3:4. Because the 'triangle' is a right-angled triangle, the other side HAS to be 5 to complete the ratio. We just multiply it by 2 to get the correct ratio and that's your answer!

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How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer
cluponka [151]

Answer:

There are 43200 minutes in a 30-day month.

Step-by-step explanation:

We know that:

60 minutes = 1 hour

24 hours = 1 day

Thus to determine the minutes in a 30-day month, let us first determine the number of hours in the month.

   30

x  24

_______

  120

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_______

 720 hours

The 30-day month has a total of 720 hours.

So that the number of minutes that make up 720 hours can be determined by;

    720

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4320

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43200

Therefore, there are 43200 minutes in a 30-day month.

3 0
2 years ago
The equation below represents Function A and the graph represents Function B:
polet [3.4K]

Answer:

  Slope of Function B = 2 x Slope of Function A.

Step-by-step explanation:

The graph of Function B shows its slope to be 4 units up for 1 unit to the right, so 4.

The equation for Function A shows its slope to be the coefficient of x, so 2.

___

4 is 2 times 2, so ...

  the slope of Function B is 2 times the slope of Function A.

6 0
3 years ago
Read 2 more answers
If 7x=3y and 5y=7z then X/Z?
Aleks04 [339]

Answer:

3/5=x/z

Step-by-step explanation:

7x=3y

7(3)=3(7)

21=21

5y=7z

5(7)=7z (plug in the seven from the first step)

35=7z

then divide both sides by 7

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therefore, X/Z=3/5

7 0
3 years ago
Not sure how to do this. i always struggle with proofs.
nlexa [21]

Answer:

Statement: angle QAU congruent to angle KAC

Reasoning: vert. angle congruenct thm

S: angle U congruent to angle C

R: Alt. Int. Angle Thm

S: Triangle QUA similar to Triangle KCA

R: AA Sim. Thm

Step-by-step explanation:

Practice a lot of proofs and you'll start seeing a pattern in them and it will become way easier.

5 0
3 years ago
Also on this one. I need to try and get a good grade on math cuz I have a C on math >3
aksik [14]

165,827 and 165,229



the hundreds spot in the first number is 8 while in the second number the hundreds spot is only two

7 0
3 years ago
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