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just olya [345]
2 years ago
14

Let C be between point D and E.

Mathematics
1 answer:
kogti [31]2 years ago
7 0

Answer:

DC = CE =33.5

Step-by-step explanation:

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A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 22 feetfeet less than th
ivann1987 [24]
So basically the ladder is creating a right triangle with the ground and the wall. Ladder is the hypotenuse (h), building = b, ground = g
b = h - 22 ft
g = 1010 ft
use Pythagorean Theorem to determine the length of h:
{c}^{2}  =  {a}^{2}  + {b}^{2}  \\  {h}^{2}  =  {(h - 22)}^{2}  + {1010}^{2}  \\ {h}^{2}  =  {h}^{2} - 44h + 484 + 1020100
The h^2 terms cancel out to = 0
0 = - 44h + 484 + 1020100 \\ 44h = 1020584 \\ 44h \div 44 = 1020584 \div 44 \\ h = 23195.1 \: feet
7 0
3 years ago
Write the equation of the line that passes through (3, 4) and (2, –1) in slope-intercept form.
matrenka [14]
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5 0
3 years ago
find three consecutive negative integers such that six times the largest is equal to the twice sum of the two smaller integers.
Oksana_A [137]

Answer:

The consecutive negative integers are -3, -4 and -5.

Step-by-step explanation:

Let the three consecutive negative integers be k, (k-1) and (k -2)

Now, according to the question:

6(Largest Integer)  = 2( Sum of smaller two Integers)

or, 6 (k)  = 2( (k-1) + (k-2))

⇒ 6k = 2(2k -3)

or, 6k = 4k - 6

or, 6k - 4k = -6

or, 2k = -6 ⇒  k =  -3

Hence, the largest negative integer = -3

The next two consecutive negative  integer are (k-1) and (k-2)  = (-3-1) and (-3-2)

 = -4 and -5

Hence, the consecutive negative integers are -3, -4 and -5.

3 0
3 years ago
What is the result of converting 81 inches to feet remember there are 12 inches in a foot?
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81 inches converted to feet is 6.75 feet
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Need more details than that
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