Answer:
The distance of the park from the Gary's house is 125 miles.
Step-by-step explanation:
Speed of Gary = 50 miles/hour
Time taken by Gary to reach the park from his house = 2.5 hours
Now, we know that,
Distance travelled = speed × time
So, distance between park and Gary's house = speed × time
= 50 × 2.5
= 125 miles
So, the park is 125 miles away from the Gary's house.
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
54: 1, 2, 3, 6, 9, 18, 27, 54
gcf: 6
Answer:
x = -3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+2(3x−7))=22x−65
Step 1: Simplify both sides of the equation.
4(x+2(3x−7))=22x−65
(4)(x)+(4)(2(3x−7))=22x+−65(Distribute)
4x+24x+−56=22x+−65
(4x+24x)+(−56)=22x−65(Combine Like Terms)
28x+−56=22x−65
28x−56=22x−65
Step 2: Subtract 22x from both sides.
28x−56−22x=22x−65−22x
6x−56=−65
Step 3: Add 56 to both sides.
6x−56+56=−65+56
6x=−9
Step 4: Divide both sides by 6.
6x = -9
6 6
x = -3/2
<u>Answer</u>:
Given below.
<u>Step-by-step explanation</u>:
1) Hypotenuse
2) Using Pythagoras theorem:
35² + 12² = c²
c = √1225+144
c = √1369
c = 37 ....this is the length of missing side.
Here given that opposite is 35 , adjacent is 12 , hypotenuse is 37.
3) sin(θ) = opposite/hypotenuse
sin(θ) = 35/37
4) cos(θ) = adjacent/ hypotenuse
cos(θ) = 12/37
5) tan(θ) = opposite/adjacent
tan(θ) = 35/12
