Answer:
As per the statement
The altitude of the balloon is 50 feet and the rope is 75 feet long.
⇒ Altitude of the balloon = 50 feet.
And length of the rope = 75 feet.
We have to find the angle that rope makes with ground,
Using Sine ratio:
You can see the diagram as shown below.
Here,
Opposite side = Altitude of the balloon = 50 feet.
Hypotenuse side = length of the rope = 75 feet.
Substitute the given values we have;
⇒
= 41.8°
Therefore, the angle that the rope makes with the ground is, 41.8 degree
The volume of the prism in the form of a trapezoid is given by:
V = Ab * h
Where,
Ab: base area
h: height
We have then:
Ab = (1/2) * (40 + 7) * (6)
Ab = 141 m ^ 2
Then, replacing we have:
V = (141) * (3)
V = 423 m ^ 3
Answer:
The prism volume is given by:
V = 423 m ^ 3
Answer:
(6,-6)
Step-by-step explanation:
1. -10x-15y=30
-10x-15y+15y=30+15y
-10x/-10=30+15y/-10
x=-3 -3/2
plug in the other equation and solve for y
-9x-5y=-24
-9(-3-3/2)-5y=-24
y=-6
plug -6 in for y in one of the original equations
-9x-5y=-24
-9x-5(-6)=-24
solve for x
x=6
<em>wonderful</em>
Answer:
c=18
Step-by-step explanation:
54 divided by 9 is 6
6 times 3 is 18
