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3 years ago

QUESTION 4

Mathematics

1 answer:

makvit [3.9K]3 years ago

7 0

Answer:

4.1.1) x=1

4.1.2) I need more information

4.2) y=2

Step-by-step explanation:

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3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

Katen [24]

Answer:

The volume of the toy is $V=5.23\ ft^3$

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

$V=\frac{2}{3}\pi r^{3}$

In this problem, the wide of the toy is equal to the diameter of the hemisphere

$D=2\ ft$

$r=2/2=1\ ft$ ----> the radius is half the diameter

substitute

$V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3$

step 2

Find the volume of the cone

The volume of the cone is given by

$V=\frac{1}{3}\pi r^{2}h$

we know that

The radius of the cone is the same that the radius of the hemisphere

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

$\pi=3.14$

$V=\frac{5}{3}(3.14)=5.23\ ft^3$

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3 years ago

Which of these values would you most likely see on a U.S. speed limit sign?

Ira Lisetskai [31]

Answer:

A. 55 miles/hour

Step-by-step explanation:

7 0

3 years ago

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F left parenthesis x right parenthesis equals 9 x cubed plus 2 x squared minus 5 x plus 4 and g left parenthesis x right parenth

Jet001 [13]

The answer is 2x(2x²+x+1).

When we subtract polynomials we combine like terms:
(9x³+2x²-5x+4)-(5x³-7x+4)

9x³-5x³=4x³
2x²- 0 = 2x²
-5x--7x=-5x+7x=2x
4-4=0

This gives us
4x³+2x²+2x

Each of these is divisible by 2, and each has an x, so we factor those out:
2x( )

4x³/2x = 2x²:
2x(2x² )

2x²/2x=x:
2x(2x²+x )

2x/2x = 1:
2x(2x²+x+1)

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2 years ago

Point A is at (3, 2.7) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbe

lisov135 [29]

The points have the same x-coordinate, so they lie on a horizontal line. The distance between them is the difference between their y-coordinates.

$2.7-1.4=1.3$

The distance between the two points is 1.3.

4 0

3 years ago

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I need help with this calculus question

Bezzdna [24]

- 47 → d

using the ' product rule '

$\frac{d}{dx}$ (uv) = uv' + vu' = (3 × - 4) + (7 × - 5 ) = - 12 - 35 = - 47

8 0

3 years ago

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