H = 3.
FIRST STEP:
<span>Add 1 to both sides to get rid of the -1 on the left side.
4h-1 = 3h+2
</span><span>4h-1 (+1) = 3h+2 (+1)
</span><span>4h = 3h+3
SECOND (FINAL) STEP:
Subtract 3h from both sides to get rid of the 3h on the right side.
</span>4h(-3h) = 3h+3 (-3h)
h = 3
Hope this helps, sorry if it's hard to understand :)
Answer: The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
To solve this problem you must apply the proccedure shown below:
1. You have that:
- The <span>kite is located at point 25 ft above the ground.
- The kite rises to a point b, directly above point a.
- The angle of elevation changes from 50º to 65º.
2. Therefore, you have:
25 feet/50°=0.5 feet
x=(0.5 feet)(65°)
x=32.5 feet</span>≈33 feet<span>
3. Then, as you can see, the answer is: 33 feet.</span>
Answer:
Speed of hike = 1.7 miles per hour
Step-by-step explanation:
Given:
Total distance = 8 miles
Distance already traveled = 4.6 miles
Total time remain to travel = 2 hour
Find:
Speed of hike
Computation:
Distance remain = Total distance - Distance already traveled
Distance remain = 8 miles - 4.6 miles
Distance remain = 3.4 miles
Speed of hike = Distance remain / Total time remain to travel
Speed of hike = 3.4 / 2
Speed of hike = 1.7 miles per hour
<span>3x+6+5x+4=90
Combine like terms
8x + 10=90
Subtract 10 from both sides
8x=80
Divide 8 on both sides
Final Answer: x= 10</span>
