Answer:
The ladder is 28.6 feet long.
Step-by-step explanation:
Given that:
Length of base = 17 feet
Length above the ground = 23 feet
These forms two legs of right angled triangle.
The length of ladder will be the hypotenuse.
Using Pythagorean theorem;
![a^2+b^2=c^2\\(17)^2 + (23)^2 = c^2 \\289 + 529 = c^2 \\c^2 = 818](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2%5C%5C%2817%29%5E2%20%2B%20%2823%29%5E2%20%3D%20c%5E2%20%5C%5C289%20%2B%20529%20%3D%20c%5E2%20%5C%5Cc%5E2%20%3D%20818)
Taking square root on both sides
![\sqrt{c^2}=\sqrt{818}\\c=28.6](https://tex.z-dn.net/?f=%5Csqrt%7Bc%5E2%7D%3D%5Csqrt%7B818%7D%5C%5Cc%3D28.6)
Hence,
The ladder is 28.6 feet long.
Answer:
Its 41 mph and 55 mph
Step-by-step explanation:
The explanation is on the board just tell me if you have questions
Answer:
x = 1
Step-by-step explanation:
The two angles, ∠HGI & ∠IGF, when combined, will result in ∠HGF.
Note:
m∠IGF = 135x
m∠HGI = 26x
m∠HGF = 161°
Set the equation:
m∠IGF + m∠HGI = m∠HGF
Plug in the corresponding terms to the corresponding variables:
135x + 26x = 161
Combine like terms:
(135x + 26x) = 161
161x = 161
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 161 from both sides:
(161x)/161 = (161)/161
x = 1
1 is your answer.
~
x = 161/161 = 1
Answer:
8.5
Step-by-step explanation:
1/9=0.1111111111111
0.1111111111111=0.1
83=80 or 85
0.1*85=8.5