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ludmilkaskok [199]
3 years ago
13

the bottom of a ladder must be placed 5 feet from a building. the ladder is 14 feet long. how far above the ground does the ladd

er touch the wall?
Mathematics
1 answer:
Xelga [282]3 years ago
4 0
h^2+5^2=14^2\\
h^2+25=196\\
h^2=196-25\\
h^2=171\\
h=3\sqrt{19}
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The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 120 feet, what is the length of the
ipn [44]

Answer:

a = length

b = height(width)

a=3b

2(a+b)=120

2(b+3b)=2(4b)=8b

8b=120

b=15

a=45

length is 45 feet

width is 15 feet

4 0
3 years ago
Find the missing measures for the rectangle. l = _?_ w = 4.2 m A = 37.8 m2 P = _?_ A) 9 m; 26.4 m B) 14.7 m; 61.74 m C) 9 m; 13.
egoroff_w [7]

Answer:

The correct answer is A.

Step-by-step explanation:

The area of a rectangle can be calculated using the following formula:

Ar=W . I

If we know that the area measures 37.8 m^{2} and one side of the figure measures 4.2 m, we can say that:

37.8m^{2}=4.2m. I

We isolate the side we don't know:

\frac{37.8m^{2}}{4.2m} = I\\9 m = I

So I = 9 m

To know the perimter of a rectangle, we use the following formula:

P= I. 2 + W . 2

P= 9m. 2 + 4.2m. 2

P= 26.4 m

3 0
3 years ago
Factor of x^3-x^2-24x-36
Basile [38]
The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***

f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
5 0
3 years ago
The selling price of a textbook is
padilas [110]

Answer:

198.43. dollars is the answer

6 0
2 years ago
True or False?<br><br> (9x - 8) - (x + 4) = 8x +12
NNADVOKAT [17]

Step-by-step explanation:

(9x-8)-(x+4)=8x+12

9x-8-x-4=8x+12

8x-12=8x+12 (no it's not)

So it's false.

Hey guys! I need help with this question urgently, so could you please help me out? Thanks in advance! Merry Christmas!

Question: brainly.com/question/19989741

3 0
3 years ago
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