perimeter = 2L +2w
L = w+11
70 = 2(w+11) +2w
70 = 2w+22+2w
70= 4w + 22
48 = 4w
w=48/4 = 12
width = 12
length = 12+11 = 23
2x12 = 24
2x23 = 46
46+24 = 40
length = 23 inches, width = 12 inches
Answer is D
Answer:
5.63
Step-by-step explanation:
Angle NLM is equal to KLM - KLN.
Since KLM = 137° and KLN = 47°, NLM = °90. (Maybe it doesn't look like a right angle, but the math doesn't lie.)
Since NLM = 16y, then 90 = 16y.
Dividing both sides by 16, we find that:
y = 5.625
Answer:
The radius of circle B is 6 times greater than the radius of circle A
The area of circle B is 36 times greater than the area of circle A
Step-by-step explanation:
we have
<em>Circle A</em>

The radius of circle A is
-----> the radius is half the diameter
<em>Circle B</em>

Compare the radius of both circles


The radius of circle B is six times greater than the radius of circle A
Remember that , if two figures are similar, then the ratio of its areas is equal to the scale factor squared
All circles are similar
In this problem the scale factor is 6
so

therefore
The area of circle B is 36 times greater than the area of circle A
Answer:
x = ± 5
Step-by-step explanation:
x² - 25 = 0 ( add 25 to both sides )
x² = 25 ( take square root of both sides )
x = ±
= ± 5
That is x = - 5, x = 5
Answer:
p =
, q = 9
Step-by-step explanation:
4x² + 12x ( factor out 4 from each term )
= 4(x² + 3x)
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 3x
= 4(x² + 2(
)x +
-
)
= 4(x +
)² - 4 × 
= 4(x +
)² - 9