The height of the kite above the ground is 90.63 feet.
<u>Step-by-step explanation:</u>
The angle of elevation of the kite is (θ) 65°.
The distance between the kite and its end is (hypotenuse)100 feet.
To find the height (x) of the kite flying above the ground.
we know that sin(θ) =
.
sin 65°=
sin 65° = 0.90631.
0.90631 ×100=x.
90.63=x.
∴The height of the kite above the ground is 90.63 feet.
Answer:
f(x) = -x -1
Step-by-step explanation:
f(x) = mx + b
find 2 points on the line:
A( -1 , 0)
B( 0 , -1)
Put them in the equation and fine m & b:
0=m(-1)+b
-1=m(0)+b
so b= -1
and m= -1
so f(x) = -x-1
Answer:
The compound inequality:
30 ≤ 2L + 2w ≤ 64
w < 12
The range:
3 ≤ w < 12
Step-by-step explanation:
Let L be he length , w the width and p the perimeter
p=2L + 2w
30 ≤ p ≤ 64 ⇌ 30 ≤ 2L + 2w ≤ 64 ⇌ 30 ≤ 24 + 2w ≤ 64 ⇌ 6 ≤ 2w ≤ 40
⇌ 3 ≤ w ≤ 20
but ,since the width is less than the length then w < 12
then 3 ≤ w < 12
Answer:
n = 1
Step-by-step explanation:
So the first step is to simplify the top equation:
(3v + 7) - (8v + 6)
distribute the negative sign to get rid of the second parentheses:
3v + 7 - 8v - 6
now, combine like terms
-5v + 1
Since it says it needs to be equivalent to (-5v + n), n is 1
