Answer:
see explanation
Step-by-step explanation:
Given A is directly proportional to r² then the equation relating them is
A = kr² ← k is the constant of proportion
To find k use the condition when r = 5, A = 75 , then
75 = k × 5² = 25k ( divide both sides by 25 )
3 = k
A = 3r² ← equation of proportion
(a)
when r = 4, then
A = 3 × 4² = 3 × 16 = 48
(b)
when A = 147 , then
147 = 3r² ( divide both sides by 3 )
49 = r² ( take the square root of both sides )
r = 
= 7
Given:
Base of a right triangle = 7 in
Height of a right triangle = a
Hypotenuse = 16 in
To find:
The length of side a.
Solution:
Using Pythagoras theorem:
Subtract 49 from both sides.
Taking square root on both sides, we get
a = 14.4
The length of side a is 14.4 in.
Answer:
20%
Step-by-step explanation:
You write 32/160 and simplify it. Then when your finished simplifying, you should get 1/5. 1/5, as you should all know, is also equivalent to 20%. Because 1/5 is 20% of 100.
3O=12/3 Divide both sides by 3.
/3
O=4
<span>
♢+2=5(4)
</span><span>♢+2=20
</span> -2 -2 Subtract 2
<span> ♢=18
</span>
2(4)+18=2∆
8+18=2∆
26=2∆
/2 /2 Divide by 2
∆=13
