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pickupchik [31]
3 years ago
9

A ladder leaning against a building makes an angle of 78 degrees with the ground. The foot of the ladder is 5 feet from the buil

ding. How long is the ladder?
Mathematics
1 answer:
tatiyna3 years ago
4 0

9514 1404 393

Answer:

  24 feet

Step-by-step explanation:

The side adjacent to the angle is given, and the hypotenuse of the triangle is the unknown. The cosine relation applies:

  Cos = Adjacent/Hypotenuse

  hypotenuse = ladder length = (5 ft)/cos(78°) ≈ 24.0 ft

The ladder is about 24 feet long.

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cricket20 [7]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 othe
yawa3891 [41]

Solution :

Let the three places be 1, 2, 3, 4, 5, 6, 7, 8

a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2

                  = 14

[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]

Therefore the required probability is

  $=\frac{14}{8!}$

 = $\frac{14}{40320} = 0.000347$

b). The probability that the marketing director to be placed in the leftmost position is

   $=\frac{7!}{8!}$

  $=\frac{1}{8} = 0.125$

c). The two events are not independent because

   $P(A \cap B) \neq P(A) \times P(B)$

  $\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$

where A is the case a and B is the case b.

8 0
3 years ago
What is 32.15 in unit form??
tekilochka [14]
3 tens, 2 ones, 1 tenth, 5 hundredths
4 0
4 years ago
Read 2 more answers
Five hundred plus five hundred fifty
JulsSmile [24]

Answer:

1,050

Step-by-step explanation:

500

+

550

=

1,050 You add the numbers getting your total

4 0
3 years ago
Sides AB and BC are congruent. If BAC =22 , then ABC = °.
lina2011 [118]
<span>ABC =22° because AB and BC are congruent
</span>
7 0
3 years ago
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