Answer:
Step-by-step explanation:
Assumed the base is the longer side.
<u>The height of the parallelogram is:</u>
- h/500 = sin 33°
- h = 500 sin 33°
- h = 272.3 ft
<u>The area is:</u>
- A = bh
- A = 790*272.3 = 215117 ft²
Answer:
x=10
Step-by-step explanation:
Lets use a ratio.
3:2 (12 to 8)
We need to scale the x+4 up 3/2 to be equal to 2x+1
(3/2) x+4 = 2x+1
1.5x+6=2x+1
-1.5x -1.5x
6=0.5x+1
-1 -1
0.5x=5
x=10
X+y=11
x is longer than y
x>y
x is 4 less than 4 times y
x=-4+4y
sub back
x+y=11
-4+4y+y=11
-4+5y=11
add 4 to both sides
5y=15
divide both sides by 5
y=3
sub back
x=-4+4y
x=-4+4(3)
x=-4+12
x=8
the pieces are 8ft and 3ft
Answer:
49 kilometers
Step-by-step explanation:
Since he cycles 1 km for each trip, he will have cycled 21 km after 21 trips.
Add this to his existing amount of km:
28 + 21
= 49
So, he will have cycled a total of 49 kilometers
Answer:
Total boxes= 75
Step-by-step explanation:
Giving the following information:
A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.
<u>First, we need to determine the number of bats that fits into a box:</u>
Bats per box= 24,000 / 50
Barts per box= 480
<u>Now, the number of boxes for 36,000 bats:</u>
Total boxes= total bats / bats per box
Total boxes= 36,000/480
Total boxes= 75