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2 years ago

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM

Mathematics

1 answer:

Klio2033 [76]2 years ago

3 0

Answer:

V ≈ 2011 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = area of base × perpendicular height

V = πr²h ( r is the radius and h the height )

Here r = 8 and h = 10, thus

V = π × 8² × 10

= π × 64 × 10 = 640π ≈ 2011 cm³ ( to nearest whole number )

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How many ways can you purchase 3 CDs if there are 3 to choose from, 4 cassettes if there are 7 to choose from, and 2 DVDs if the

Lesechka [4]

3C3 X 7C4 X 4C2 = 210

5 0

3 years ago

Read 2 more answers

Find the area of the trapezoid. Answer options: 8sqrt2, 4sqrt3, 12.0, 16sqrt2

Elis [28]

Answer:

= 8sqrt2

Step-by-step explanation:

Area of a trapezium is given by the formula;

1/2(a+b)h ;

Where a and b are the parallel sides and h is the perpendicular height.

a = 3 cm, b= 5 cm

To get; h, we use the Pythagoras theorem;

h² = 3² - 1²

h² = 8

h = √8

= √4√2

= 2√2

Thus;

Area = 1/2(3 +5) 2√2

= 1/2 ×8 × 2√2

 = 8√2 cm² or 8sqrt2 cm²

8 0

3 years ago

A projectile is launched from the ground at an angle of theta above the horizontal with an initial speed of v in ft/s. The rang

VARVARA [1.3K]

Answer:

$\theta=24.4^\circ$

Step-by-step explanation:

The formula you wrote has the fraction the other way around. You can find that the range of a projectile is in reality approximated by the equation $x=\frac{v^2}{g} sin(2\theta)=\frac{v^2}{32ft/s^2} sin(2\theta)$ , where we will use ft for distances.

From the given equation we have then $\frac{x32ft/s^2}{v^2} =sin(2\theta)$ , which means $\theta=\frac{Arcsin(\frac{x32ft/s^2}{v^2})}{2}$ since the arcsin is the inverse function of the sin.

Since we have x = 170 ft and v = 85 ft/s, we can substitute these values from the equation written, and we will have $\theta=\frac{Arcsin(\frac{(170ft)(32ft/s^2)}{(85ft/s)^2})}{2}$ , and from now on we have just to use a calculator, obtaining $\theta=\frac{Arcsin(0.75294117647)}{2}=\frac{48.84579804^\circ}{2}=24.4^\circ$