3/3 would be 1 hour
3/18 of the lawn would be done in 1 hour
18/3=6
6*1 = 6
it would take 6 hours to do the whole lawn
5.
-4=r/20-5
First add 5 to both sides
1=r/20
Then multiply both sides by 20
20=r
Final answer: r=20
7.
(v+9)/3=8
First multiply both sides by 3
v+9= 24
Subtract 9 from both sides
v=15
Final answer: v=15
Answer:523.6
Step-by-step explanation: V = 4/3 r^3
Answer:
1. -40=12x+8 : x=-4
2. -4x+2≥-6x : x≥−1
3. -11≤7x+3 : x≥−2
Step-by-step explanation:
1. Step 1: Flip the equation.
12x+8=−40
Step 2: Subtract 8 from both sides.
12x+8−8=−40−8
12x=−48
Step 3: Divide both sides by 12.
12x
12=−48
12
x=−4
3. Step 1: Flip the equation.
7x+3≥−11
Step 2: Subtract 3 from both sides.
7x+3−3≥−11−3
7x≥−14
Step 3: Divide both sides by 7.
7x
7
≥
−14
7
x≥−2
<h3>
Answer:</h3>
8.70 ft
<h3>
Step-by-step explanation:</h3>
We are given;
- Shadow of a tree as 25 ft
- Height of a person as 4ft
- Shadow of the person as 11.5 ft
We are required to determine the height of the tree
<h3>
Step 1: Find the angle of elevation from the tip of the shadow to the top of the person.</h3>
tan θ = opp/adj
In this case; Opposite side = 4 ft
Adjacent side = 11.5 ft
Therefore; tan θ = (4 ft ÷ 11.5 ft)
tan θ = 0.3478
θ = tan⁻¹ 0.3478
θ = 19.18°
<h3>Step 2: Calculate the height of the tree</h3>
The angle of elevation from the tip of the shadow of the tree to the top of the tree will 19.18°
Therefore;
Opposite = Height of the tree
Adjacent = 25 ft
Thus;
tan 19.18 ° = x/25 ft
x = tan 19.18° × 25 ft
= 0.3478 × 25 ft
= 8.695
= 8.70 ft
Therefore, the height of the tree is 8.70 ft