Answer:
The area of LQM is 
Step-by-step explanation:
Given
Area of PNQ = 8
Area of LPQ = 16
See attachment for triangles
The area of PNQ is calculated as:
Substitute 8 for Area
The area of LPQ is calculated as:
Substitute 16 for Area
From the attachment:
Make LP the subject
So:
We have:
and
Equate both expressions:
Divide both sides by PQ
Multiply both sides by 2
Since PNQ is similar to LNM, the following equivalent ratios exist:
Substitute
Area of LQM is:
This gives:
Recall that:
So:
Answer:
100 years old
Step-by-step explanation:
The oldest person is 100 years old since that's the highest number showed on the stem & leaf plot.
<h3>
Answer:</h3>
8
<h2><u>
STEPS:</u></h2>
=57 times 4/57 times 2
=57/1 times 4/57 times 2
=4/2 times 2 (cancel common factor:57)
=4/1 times 2 (convert element to fraction 2= 2/1)
=4/1 times 2/1
Multiply the numbers (4 times 2)
=8/1 times 1 (Multiply the numbers 1 times 1)
Apply the fraction rule: a/1 =9
=8
Answer: 24.99 ft
Step-by-step explanation:
1. You can find the angle A as following:
2. Now, you can calculate the height of the tree as following:
Where:
A=32°
opposite=x
adjacent=40
3. When you substitute values and solve for x, you obtain that the height of the tree in feet is:
Answer:
a) 15m²
b) 750cm³
Step-by-step explanation:
(3+2)/2=5/2=2.5
2.5x6=15
a) 15m²
1/20=x/15
15=20x
x=15/20
x=3/4 = 0.75
1 liter is 1000cm³
1000x0.75
b) 750cm³
