Make a drawing with a right triangle.
The opposite side, y, is the height of the dam less 1.65 m
The base or adjacent side is 90 m
The angle between the two sides is 90 m.
Then tan (26) = y / 90
y = 90 tan(26) = 90 (0.4877) = 43.90 m
The height of the dam is 43.90m + 1.65m = 45.55 m
Answer:
119°
Step-by-step explanation:
if sum of two angles=180,then they are supplementary.
61+x=180
x=180-61=119
Answer:
3 ft by 8 ft
Step-by-step explanation:
We were given the area as 24 square feet which means that
L×w= 24....eqn(1)
We were given the perimeter as 22 square feet which means that
22= 2(L +w).......eqn(2)
If we divide both cause by 2 in eqn(2) we have
11= L+ w .....eqn(3)
W= 11-L.........eqn(4)
Substitute eqn(4 into eqn(1)
L× (11-L)=24
-L^2 +11L-24=0
If we factorize
(L-8)(L-3)
L=3 or 8
From eqn4)
W=11-L
At L=3
W=11-3=8
Hence, the dimension is 3 ft by 8 ft
I believe 4, because two times two equals four
Answer:
$48
Step-by-step explanation:
To start off, we know that Avery put 20% of the $80 in her bank account. We can figure out how much 20% of 80 is by multiplying 80 by 20% and then subtracting that number from 80. Remember to switch 20% to its decimal form (20% -> .2).
Step 1) 80 x .2 = 16
Step 2) 80 - 16 = 64
Next, we have to figure out how much 1/4 of the remaining $64 would be. We just simply divide 64 by 4 to figure out how much Avery spent.
Step 3) 64 / 4 = 16
Lastly, since we know Avery spent 16 dollars, we can subtract the 16 from 64 to get our final answer.
Step 4) 64 - 16 = 48
