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Kamila [148]
3 years ago
15

A 12-ft ladder is leaning on a building. If the base of the ladder is placed 5 feet from the building, approximately how high do

es the ladder reach?
A. 13 ft
B. 7 ft
C. 11 ft
D. 14 ft
Mathematics
2 answers:
nevsk [136]3 years ago
4 0
The answer is C using the Pythagorean theorem, A^2 + B^2 equals C^2.
Citrus2011 [14]3 years ago
3 0
A^2+b^2=c^2

5^2+b^2=12^2

25+b^2=144

b^2=144-25

b^2=119

SQUARE ROOT BOTH SIDES:

b=10.9

The answer is c.
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The sum of three numbers is 11 The sum of twice the first number five times the second number and six times the third number is
Lunna [17]
<h3>Given</h3>

three numbers: a, b, c

a+b+c = 11

2a +5b +6c = 32

3a -b = 22

<h3>Find</h3>

a, b, c

<h3>Solution</h3>

The equations can be represented by the augmented matrix

\left[\begin{array}{ccc|c}1&1&1&11\\2&5&6&32\\3&-1&0&22\end{array}\right]

A graphing calculator gives the solution

(a, b, c) = (8, 2, 1)

The three numbers are 8, 2, and 1.

_____

If you want to solve this by hand, you could use Cramer's rule, or you could do the row operations by and. For example, subtract twice the first equation from the second to get

... 3b +4c = 10

Subtract 3 times the first equation from the third to get

... -4b -3c = -11

These two equations can be solved by your favorite method to find

... b = (-44 +30)/(-16 +9) = -14/-7 = 2 . . . . . using Cramer's rule

... c = (-40 +33)/-7 = 1

Then the first equation can be used to find <em>a</em>.

... a + 2 + 1 = 11

... a = 8 . . . . . . . . . . . as above

3 0
2 years ago
Hi can you please help me and explain step by step if possible thank you
zaharov [31]

Answer:  see image

<u>Step-by-step explanation:</u>

Count how many spaces the vertex is away from the line x = -1.  Then place that vertex the same distance on the other side of the line x = -1.

3 0
3 years ago
Help please, stuck on this one!
allochka39001 [22]

Answer:

AFCE = 30

P+Q = 11

Step-by-step explanation:

From the picture, you can see the figure can be decomposed into two identical large triangles with area 20, and 4 identical longer ones, that have to cover the remaining area 40, thus 10 each.

From that you can count the area.

Second puzzle is just trial and error.

4 0
2 years ago
Elliott's bed is 75 inches long. During his growth spurt, Elliott grew 6 inches. Before his growth spurt, he was 5 feet 11 inche
Alex787 [66]
Elliott's bed -> 75 in
Elliott before -> 5 ft 11 in = 71 in
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77 - 75 = 2 in

Elliott's bed is shorter than him by 2 inches.
6 0
3 years ago
How to get an equivalent answer to 1/4
jasenka [17]
The answer to this equation is 1/2
6 0
3 years ago
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