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Travka [436]
2 years ago
6

1. What is the system of inequalities associated with the following graph?

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
7 0
Correct hence this answer
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A 32 foot ladder is leaning against a building and forms a 29.37 angle with the ground how far away from the building is the bas
BARSIC [14]

Answer:

the base of the ladder is 27.89  ft away from the building

Step-by-step explanation:

Notice that this situation can be represented with a right angle triangle. The right angle being that made between the ground and the building, the ladder (32 ft long) being the hypotenuse of the triangle, the acute angle of 29.37^o being adjacent to the unknown side we are asked about (x). So, we can use the cosine function  to solve this:

cos(\theta)=\frac{adjacent}{hypotenuse} \\cos(29.37^o)=\frac{x}{32\,\,ft}\\32 \,\,cos(29.37^o)\,\,ft=x\\x=27.887\,\,ft

which rounded to the nearest hundredth gives;

x = 27.89  ft

6 0
3 years ago
Read 2 more answers
Help me please 9 - 4(2p - 1) = 41
dem82 [27]

Answer:

p = -3.5

Step-by-step explanation:

Simplifying

9 + -4(2p + -1) = 41

Reorder the terms:

9 + -4(-1 + 2p) = 41

9 + (-1 * -4 + 2p * -4) = 41

9 + (4 + -8p) = 41

Combine like terms: 9 + 4 = 13

13 + -8p = 41

Solving

13 + -8p = 41

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + -8p = 41 + -13

Combine like terms: 13 + -13 = 0

0 + -8p = 41 + -13

-8p = 41 + -13

Combine like terms: 41 + -13 = 28

-8p = 28

Divide each side by '-8'.

p = -3.5

Simplifying

p = -3.5

6 0
1 year ago
Read 2 more answers
Please answer quickly ​
uranmaximum [27]

Answer:

Given,

Area of the Square = ( x² - 10x + 25 ) m²

We have to find: Length of the side of the square.

Let s be the side of square.

We find length of side of the by using factorization.

According to the question,

s² = x² - 10x + 25

s² = x² - 5x - 5x + 25

s² = x( x - 5 ) - 5( x - 5 )

s² = ( x - 5 )( x - 5 )

s² = ( x - 5 )²

Taking square root on both sides we get,

s = x - 5

Therefore, Expression that represents the length of one side of the square is x - 5.

Step-by-step explanation:

3 0
2 years ago
-8x - 2y = -24<br> Find the slope
Anon25 [30]
-8x-2y=-24
-2y=-24+8x
2y=24-8x
Y=12-4x
Y=-4x+12
5 0
2 years ago
Read 2 more answers
What is the value of a in the equation 3a+b=54, when b=9?
insens350 [35]

3a+9=54

3a+9-9=54-9

3a= 45

a=15

Check answer:

3(15)+9=54

54=54

Answer is a=15

3 0
3 years ago
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