A child is standing across the street from his apartment . His mother is on their balcony . The angle of elevation between the child's eyes and his mothers eyes is 22 degrees . If the distance between their eyes is 32 feet , how far is the child standing from his apartment building ? Round to the nearest foot .

Answers

Answer 1

Answer: You've got a leg and an angle next to it (and another, straight one, too), which is enough to calculate any side and angle of the triangle with some knowledge of trigonometry (in my country, you need to be in the last months of 9th grade or later to know that)
To calculate the other angle, you simply substract our known one (22) from 90. Nothing interesting here.
To calculate the hypotenuse, which is actually what is requested, you need to use the cosine of 22, which is about 0.9272, this way: h=l1/cos(L1), that means our distance is 32/0.9272, which is about 34.5131 ft (doesn't matter if there are feet, cm, inches, meters or whatever)

Answer 2

Answer:

Answer:

30 Ft

P.S HMU WITH BRAINLIST

Step-by-step explanation:

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Polynomial function in standard form with zeros 5,-4,1

James is painting a wooden slat fence he had installed around his backyard. The fence has a total of 180 wooden slats. Suppose James is able to paint 2 slats every 5 minutes. His friend Gabe offers to help him. Together, they finish painting the fence in 3 hours 20 minutes.At what rate did Gabe paint the fence?

Answers

Answer:

1 slat every 2 minutes.

Step-by-step explanation:

James is able to paint 2 slats every 5 minutes.

James and Gabe together are able to paint the whole fence (180 slats) in 3 hours and 20 minutes (200 minutes)

The rate of 180 slats in 200 minutes is equal to 18 slats in 20 minutes, and is equal to 9 slats in 10 minutes.

The rate of James is 2 slats in 5 minutes, which is equal to 4 slats in 10 minutes.

Subtracting the rate of James and Gabe together (9 slats in 10 minutes) by the rate of James alone (4 slats in 10 minutes), we have the rate of Gabe, which is 5 slats in 10 minutes, or 1 slat in 2 minutes.

2/5+3/4 please help me

Answers

Answer:

23/20

Step-by-step explanation:

Answer:

1.15 correct me If I am wrong

Step-by-step explanation:

X squared -7x-34 =10

Answers

Answer:

x = 11 or x = -4

Step-by-step explanation:

x² - 7x - 34 = 10

Subtract 10 from both sides.

x² - 7x - 44 = 10

Factor the trinominal. We need 2 numbers whose product is -44 and whose sum is -7. They are -11 and 4.

(x - 11)(x + 4) = 0

x - 11 = 0 or x + 4 = 9

x = 11 or x = -4

Three workers arrive at work 15 minutes late, at a cost of $11/hour how will it cost company?

Answers

$1h=60min\n\n\begin{array}{ccc}60min&-&\$11\n\n15min&-&\$x\end{array}\n\n\ncross\ multiply:\n\n60x=11\cdot15\ \ \ /:60\n\nx=(11\cdot15)/(60)\n\nx=(11)/(4)\n\nx=2.75\ (\$)\leftarrow Answer$

$other\ method:\n\n\$11\ -\ 60min\ \ \ \ /:4\n\n\$11:4\ -\ 60min:4\n\n\$2.75\ -\ 15min$

$Answer:a\ cost\ (\$2.75)/(15min)$

Which of the following expressions represents "twelve diminished by six times a number"?a. 12 - 6n
b. 6n - 12
c. 12n - 6 User: The coefficient of 9(14)P is

Answers

Answer:

The answer is the option A

$12-6n$

Step-by-step explanation:

Let

n------> the number

we know that

The expression "twelve diminished by six times a number" is equivalent to say "Subtract six times a number from twelve"

The algebraic expression is equal to

$12-6n$

the number is n. 12 is what is being diminished (made smaller), so something is subtracted. 6 times a number is 6n

12 - 6n, so a

Urgent please help!!What is the scale factor for the set of similar figures?

Explain answer

Answers

The scale factor is 0.35. This is because that's what the sides of the larger figure has been multiplied by.

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Mary is selling her craft to earn money she sells her bracelets for $6 and her necklaces for $10 her goal is to make at least $120 in sales which of the following represents three possible solutions to the problema.6x+10y<120 (5,10),(10,5),and(15,0)are three possible solutions. b.6x+10y>=120 (5,9),(10,6),and(15,3)are three possible solutions. c.6x-10y<120 (5,5),(10,10),and(15,15)are three possible solutions. d.7x+5y<=140 (7,21),(14,14),and(21,7)are three possible solutions. I think it's a.6x+10y<120 (5,10),(10,5),and(15,0)are three possible solutions. please correct me if I'm wrong. I think it's between B and d. is it D