Its 2 km hope this help have a nice day
Answer:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Step-by-step explanation:
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees
Using SohCahToa, to calculate the height
Tan 54 = height/2000
Height = 2000 tan54 = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = root ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet
Using pythagorean theorem again
Tan 24 = 2752.8/distance
Distance = 2752.8/tan24
Distance = 6182.9 feet
Answer: x = 12
midsegment is 16 units long
bottom side is 32 units long
===============================================
Work Shown:
The midsegment 2x-8 is parallel to the bottom side 2x+8
The bottom side is twice as long compared to the midsegment (since the midsegment is half the length of the bottom side).
We can say
bottom side = 2*(midsegment)
2x+8 = 2*(2x-8)
2x+8 = 4x-16
2x-4x = -16-8
-2x = -24
x = -24/(-2)
x = 12
--------------------
Extra info:
Now that we know x, we can find the length of those segments
midsegment = 2x-8 = 2*12-8 = 24-8 = 16
bottom side = 2x+8 = 2*12+8 = 24+8 = 32
Note the bottom side (32) is exactly twice as long compared to the midsegment (16). This confirms we have the correct x value.
Answer:
$5.10
Step-by-step explanation:
The owner buys 5 panes of glass for $12.75. So to find the cost of 1, we need to divide the total cost by the amount of planes. In this case, 12.75 divided by 5. This gives you $2.55 per plane. And since he is buying 2 more, we would multiply the cost of the plane (2.55) by the amount we are buying (2). So we do 2.55 X 2 and we get $5.10
Answer:
Step-by-step explanation:
The expanded form of 30 is 30+ 0. 2. How can write a 30 number in expanded fraction form? In the expanded fraction form, you can write 30 as (3 x 10) + (0 x 1).
