Answer:
3 km
Step-by-step explanation:
30 divided by 10 is 3.
9 divided by 3 is 3.
Therefore, your answer is 3.
Equation: x + x + 6 = 2x = 25
smallest side is 4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is 2(4.75)= 9.5 units
smallest side is x
largest size is x + 6
3rd side is 2x
-----------------------------------
4x + 6 = 25
-6 -6
<u>4x</u> = <span><u>19</u>
</span> 4 4
x = 4.75 is the smallest side
smallest side is 4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is 2(4.75)= 9.5 units
Let n = number of records.
Each record costs $7, so n records cost 7n.
She then spent $3, so the total spent is 3n + 3.
She spent a total of $24, so 3n + 3 must equal 24. That gives us the following equation.
7n + 3 = 24
Subtract 3 from both sides.
7n = 21
Divide both sides by 7.
n = 3
Answer: She bought 3 records.
Answer:
154 ft
Step-by-step explanation:
A right triangle is formed, where the height of the wheel (h) is one leg, the distance between you and the base of the wheel is the other leg, and the distance between you and the top of the wheel is the hypotenuse (the angle included between the last two sides is 51°)
From definition:
tan(51°) = opposite/adjacent
tan(51°) = h/125
h = tan(51°)*125
h = 154 ft
Answer:
See below
Step-by-step explanation:
Y component of velocity is 70 sin 30°
y position = 3 + 70 sin 30° * t - 1/2 a t^2
when the ball hits the ground y = 0
0 = 3 + 70 sin 30° t - 1/2 (32.2)t^2
- 16.1 t^2 + 35t + 3 = 0
Use Quadratic Formula to find t = <u>2.26 seconds</u>
Horizontal component of initial velocity
70 cos 30° distance horizontal = 70 cos 30° * t
= 70 cos 30° (2.26) =<u> 137.0 ft</u>
