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anastassius [24]
2 years ago
6

A roofer leaned a 16 foot ladder against a house if the base of the ladder is 5 feet from the house how high up the house does t

he ladder reach
Mathematics
1 answer:
valkas [14]2 years ago
8 0

Answer:

15.2 feet

Step-by-step explanation:

We use Pythagorean Theorem to find the height.

The hypotenuse of the formed triangle =  length of ladder = 16 feet

base = 5 feet

let h = height of house

16 ^2 = 5^2  +  h^2

256 = 25 + h^2

231 = h^2

h = root(231) = 15.1986 feet

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Ritz can eat 8 apples in 15 minutes. How long does it take Ritz to eat 16 apples at the same rate?
natka813 [3]
The rate Ritz can eat apples is 8/15 apples per minute.

Set the rate (which is measured apples / minutes) equal to 16 apples / t minutes.

(8/15) = (16/t)

Cross multiply.

16*15 = 8t

t = 20

The answer is 30 minutes. You could solve the problem with basic reasoning as well. 16 is twice the number of apples as 8, so the time it takes to eat them will be double 15 minutes.
5 0
3 years ago
Which ordered pair is a solution to the system of equations?
enot [183]

Answer:

  • See below

Step-by-step explanation:

<u>Given system:</u>

  • 2x - y = - 2
  • 15x - 2y = - 7

<u>Solve by elimination, multiply the first equation by - 2 and add up the equations:</u>

  • -2(2x - y) + 15x - 2y = - 2(- 2) - 7
  • -4x + 2y + 15x - 2y = 4 - 7
  • 11x = - 3
  • x = - 3/11

<u>Find the value of y:</u>

  • 2( - 3/11) - y = - 2
  • -6/11 - y = - 2
  • y = 2 - 6/11
  • y = 1/11

<u>Solution is:</u>

  • ( - 3/11, 1/11)
  • <em>None of the answer choices is matching this solution. Something must be wrong with the given equations.</em>
3 0
2 years ago
A tin of biscuits contains shortbread and choc-chip biscuits in the ratio 2:3 . The tin contains 80 biscuits. How many short-bre
Aleksandr [31]

Answer:

32

Step-by-step explanation:

There are 80 biscuits inside the tin.

Also, they said that those biscuits are in the ratio

Short bread    :      Choc - chip

          2          :        3

Altogether there are 5 shares ( 2 + 3)

And now you can divide 80 by 5 to find how many biscuits contain per a share.

80 ÷ 5 = 16

In the question, they asked us to to find the number of short biscuits inside the tin.

Let us find that.

There are 2 shares for short bread biscuits.

So,

Number of short biscuits ⇒ 2 × 16

                                         ⇒ 32

Hope this helps you :-)

5 0
2 years ago
HELP PLEASEEE. I DONT UNDERSTAND
Shtirlitz [24]

Answer:

D

Step-by-step explanation:

So we have the equation:

x^2-6x+58=0

And we want to solve for x.

We can solve it by completing the square.

First, subtract 58 from both sides:

x^2-6x=-58

Divide the b term by 2 and square it:

(-6)/2=-3\\(-3)^2=9

So, add 9 to both sides:

(x^2-6x+9)=-58+9

On the left, the perfect square trinomial pattern. Add on the right. So:

(x-3)^2=-49

Take the square root of both sides:

x-3=\pm \sqrt{-49}

The square root of -49 is 7i:

x-3=\pm 7i

Add 3 to both sides:

x=3\pm 7i

So, our answer is D.

And we're done!

4 0
2 years ago
0.125 to the nearest thousandth
KatRina [158]

Answer:

5 SHOULD BE THE ANSWER SORRY FOR ALL CAPS

7 0
2 years ago
Read 2 more answers
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