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7nadin3 [17]
4 years ago
15

A 20-foot support post leans against a wall, making a 70° angle with the ground. to the nearest tenth of a foot, how far up the

wall will the support post reach?
Mathematics
1 answer:
andriy [413]4 years ago
7 0
To solve this problem you must apply the proccedure shown below:
 1. You have that the <span>20-foot support post makes a 70° angle with the ground. Therefore, you have:
 Sin</span>α=opposite/hypotenuse
 α=70°
<span> opposite=x
 hypotenuse=20
 2. When you substitute the values, you obtain:
 Sin(70°)=x/20
 3. Now, solve for x:
 x=20Sin(70°)
 x=18.8
 The answer is: 18.8 feet </span>
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Done
son4ous [18]

Answer:

Expression for perimeter of triangle = 5x+8

Step-by-step explanation:

Given that:

Length of bottom of triangle = b = x

Length of other side = a = 3x + 5

Length of last side = c = x + 3

Perimeter of triangle = a + b + c

Perimeter = (3x+5)+x+(x+3)

Perimeter = 3x+5+x+x+3

Perimeter = 5x + 8

Hence,

Expression for perimeter of triangle = 5x+8

5 0
3 years ago
You receive 15% of a profit from a car wash how many money do you receive from a profit $600?
PilotLPTM [1.2K]

EXPLANATION

If receive 15% of a profit, and considering a total profit of $600, the amount is given by the expression:

Profit = 15% of 600

We must turn 15% into a decimal form by dividing it by 100 as follows:

15/100 = 0.15

So, the computed value is:

Profit = 0.15 x 600 = $90

The answer is $90.

3 0
1 year ago
Victoria has 2.50 pounds of bell peppers and the cost is $1.25. What is the price for 1 pound of bell peppers?
AleksAgata [21]

Answer:

The price of one pound of bell peppers is $0.6.

Step-by-step explanation:

This problem is equivalent to the following:

<em>"if 10 oranges cost $20, how much does 1 orange cost? "</em>

and the answer to that question is:

price of 1 orange  = $20/ 10 oranges = $2 per orange.

Put simply, we divided the total price by the total number of items, and we shall do the same thing for the case of bell peppers:

price of 1 pound  = $1.25/ 2.5 pounds = $0.5/ pound.

The price for 1 pound of bell peppers is $0.5.

8 0
4 years ago
Which number completes the square? x2 + 18x + _____?
yuradex [85]
81 because (a + b)^2 = a^2 + 2ab + b^2
Thus x^2 + 2(9)(x) + (9)^2 = x^2 + 18x + 81
8 0
3 years ago
Si disponemos de 4 sillas y los simbolizamos por 4s y por otros lados tenemos 2 mesas los simbolizamos por 2m, al reducir los té
Alja [10]
It’s should be letter b I hope you have a great day
3 0
3 years ago
Read 2 more answers
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