A 34-ft. ladder resting against the wall of a building forms a right triangle with the wall and ground. So this is one of the legs and equal 34 feet.
The bottom of the ladder is 8 ft. away from the base of the building. This is another leg and equal 8 feet.
You need to find the hypotenuse.
Using The Pythagorean Theorem:
c^2 = a^2 + b^2, where a and b are legs and c is hypotenuse
c^2 = 34^2 + 8^2
c^2 = 1156 + 64
c^2 = 1220
c = √1220
c = 34.93
Answer
The side of the building = 34.93 ft
Answer:
The graph of a linear inequality in one variable is a number line. Use an open circle for < and > and a closed circle for ≤ and ≥. ... The subtraction property of inequality tells us that subtracting the same number from both sides of an inequality gives an equivalent inequality.
Step-by-step explanation:
There are 128 US fluid ounces in a gallon
Translation left 3 units: subtract 3 from the original x coordinate --> 4-3=1
Reflection across y-axis: change the sign of the x coordinate --> 1 => -1
Final answer: (-1, 3)
Answer: 3/2
Step-by-step explanation:
- (0,0) (4,6) first you use the equation y2-y1/x2-x1 , 6 would be y2 because it is y in the second order pair then 0 would be y1 because it is y in the first order pair and 4 would be x2 because it is x in the second order pair and 0 would be x1 because it is x in the first order pair so
- at the end it should look like this 6-0/4-0. you do the top first, 6-0= 6 and 4-0 = 4
- your answer should look like this 6/4 then you simplify the fraction. since they are both even numbers they simplify into 2.
- so 6 divide by 2 and 4 divide by 2 and your answer <u>3/2</u>