Area of Big Rectangle Area of Small Rectangle
A = L x w A = L x w
= (25 + 2w)(10 + 2w) = 25 x 10
= 250 + 50w + 20w + 4w² = 250
Big - Small
74 = 250 + 70w + 4w² - 250
74 = 4w² + 70w
0 = 4w² + 70w - 74
= 2(2w² + 35w - 37)
= 2[2w² -2w | +37w - 37]
= 2[2w(w - 1) | +1(w - 1)]
= 2(2w + 1)(w - 1)
0 = 2 0 = 2w + 1 0 = w - 1
FALSE so disregard w = -1/2 w = 1
NEGATIVE so disregard
Answer: 1 meter
Answer:
160 cm × 120 cm
Step-by-step explanation:
this means 1 cm turns into 20 cm.
so, 8 cm × 6 cm becomes
8×20 = 160 cm × 6×20 = 120 cm
Answer:
V=15.44
Step-by-step explanation:
We have a formula
V=\int^{π/3}_{-π/3} A(x) dx ,
where A(x) calculate as cross sectional.
We have:
Inner radius: 5 + sec(x) - 5= sec(x)
Outer radius: 7 - 5=2, we get
A(x)=π 2²- π· sec²(x)
A(x)=π(4-sec²(x))
Therefore, we calculate the volume V, and we get
V=\int^{π/3}_{-π/3} A(x) dx
V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx
V=[ π(4x-tan(x)]^{π/3}_{-π/3}
V=π·(8π/3-2√3)
V=15.44
We use a site geogebra.org to plot the graph.
Answer:
15/2
Step-by-step explanation:
when dividing by fractions, we "flip and multiply"-- therefore:
3 ÷ 2\5 = 3 x 5/2
3 x 5/2 = 15/2
Answer: 1
Step-by-step explanation: There can only be one triangle like that!