Answer: 19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the length of the ladder) and a and b are the other sides.
Replacing with the values given:
20^2 = (4 1/2)^2 + x^2
400=20.25 + x ^2
400-20.25 = x^2
379.75 = x^2
√379.75 = x
x = 19.48
x= 19 ft
Feel free to ask for more if needed or if you did not understand something.
Answer:
the scores on her last test is x (x > 0)
because on her last tests she scored 4 points lower than she did on her fifth test
=> the scores in the 5th test is x + 4
because Angela’s average for six math tests is 87, we have:
=> on her last test, she had 85
=> on her 5th test, she had 85 + 4 = 89
Remember to follow PEMDAS, and left -> right rule.
First, solve the Parenthesis:
(4 + 2^3)
Solve the exponent.
2^3 = 2 x 2 x 2 = 4 x 2 = 8
4 + 8 = 12
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(5^2) x (12)
5^2 = 5 x 5 = 25
25 x 12
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Multiply
25 x 12 = 300
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300 is your answer
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<em>~Rise Above the Ordinary</em>
In a function, every point is mapped to at most one other point. B is the answer.
In A, -1 maps to 2 points.
In C, 3 maps to 2 points.
In D, 2 maps to 2 points.
So they are not functions.