Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know that the hypotenuse squared is equal to the sum of its squared sides.
h^2=x^2+y^2
Here y=25 and x=8 so
h^2=25^2+8^2
h^2=625+64
h^2=689
h=26.25 ft
They obviously rounded to nearest whole foot.
So Carrie is correct in saying the ladder should be 26 feet.
Answer:
C
Step-by-step explanation:
Hope this is right. Let me know if not! Have a nice day :)
It would be c. A perfect correlation will be either a 1 or a -1. The answer that is closest to one of these is c, -0.9.
It looks like your equations are
7M - 2t = -30
5t - 12M = 115
<u>Solving by substitution</u>
Solve either equation for one variable. For example,
7M - 2t = -30 ⇒ t = (7M + 30)/2
Substitute this into the other equation and solve for M.
5 × (7M + 30)/2 - 12M = 115
5 (7M + 30) - 24M = 230
35M + 150 - 24M = 230
11M = 80
M = 80/11
Now solve for t.
t = (7 × (80/11) + 30)/2
t = (560/11 + 30)/2
t = (890/11)/2
t = 445/11
<u>Solving by elimination</u>
Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,
7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)
5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)
Now combining the equations eliminates the t terms, and
(-10t + 35M) + (10t - 24M) = -150 + 230
11M = 80
M = 80/11
It follows that
7 × (80/11) - 2t = -30
560/11 - 2t = -30
2t = 890/11
t = 445/11
