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3 years ago

What makes up a trapezoid

Mathematics

1 answer:

Anna007 [38]3 years ago

5 0

A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel<span>.</span>

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If 14 gallon of paint covers 13 of a wall in Luna's bedroom, how many gallons of paint does she need to cover 1 wall?

dimaraw [331]

Answer:

182 gallons tell me if im right

Step-by-step explanation:

14 times 13 = 182 gal

5 0

2 years ago

If Angie’s gross pay for 21.5 hours was $282.08, what was her pay per hour?

xxMikexx [17]

Answer:

$13.12 per hour

Step-by-step explanation:

Take the total pay and divide by the number of hours

$282.08/21.5 hours

$13.12 per hour

8 0

3 years ago

Read 2 more answers

What is the following product? (5 square root 2-4 square root 3) (5 square root 2-4 square root 3)

Zina [86]

Answer:

(5 square root 2-4 square root 3) (5 square root 2-4 square root 3)

= 98 - 40 $\sqrt{6}$

Step-by-step explanation:

i) (5 $\sqrt{2}$ - 4 $\sqrt{3}$ ) × (5√2 - 4√3)

=(5 $\sqrt{2}$ × 5 $\sqrt{2}$ ) - (5 $\sqrt{2}$ × 4 $\sqrt{3}$ ) - (4 $\sqrt{3}$ × 5 $\sqrt{2}$ ) + (4 $\sqrt{3}$ × 4 $\sqrt{3}$ )

= 50 - 20 $\sqrt{6}$ - 20 $\sqrt{6}$ + 48

= 98 - 40 $\sqrt{6}$

8 0

3 years ago

Read 2 more answers

. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum

Drupady [299]

Answer:

$r=1.05\ \text{ft}$

$h=2.12\ \text{ft}$

$20.91\ \text{ft}^3$

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = $7.35\ \text{ft}^3$

$V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}$

Surface area is given by

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}$

Differentiating with respect to radius we get

$\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}$

Equating with zero we get

$0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05$

$\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0$