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3 years ago

6

Rudy can hold 72 gummy bears in his

1 answer:

rusak2 [61]3 years ago

7 0

He now has 105 because you add them up

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The slope of GA is -5. Find the slope of the line perpendicular to the given line

Temka [501]

Perpendicular slopes are opposite reciprocals.

This means the slope of the line perpendicular to GA will be the opposite reciprocal of -5.

Reciprocal of -5: -1/5

Opposite of -1/5: 1/5

The slope of the line perpendicular to GA is 1/5.

5 0

3 years ago

Graph time...........

user100 [1]

Answer:

The third graph is the graph of the given function

Step-by-step explanation:

A simple technique that can be used to identify the graph that matches the given function is; determination of the x and y-intercepts. In this case, determining the y-intercept and then using elimination will suffice in matching the function with its graph. At the y-intercept the value of x is always zero, so we replace x with zero in the right hand side of the equation; y(x) = 2^(0+3) = 8. The graph of the function should therefore cross the y-axis at the point (0,8). The third graph is the graph of the given function.

5 0

3 years ago

Read 2 more answers

Y=-x+5 in standard form

raketka [301]

Something is missing in this thing

4 0

3 years ago

Find the volume and surface area of the composite figure. Give your answer in terms of π. HELP ASAP!!

NARA [144]

Answer:

Part 1) The volume of the composite figure is $620.7\pi\cm^{3}$

Part 2) The surface area of the composite figure is $273\pi\ cm^{2}$

$V=620.7\pi\cm^{3}, S=273\pi\ cm^{2}$

Step-by-step explanation:

Part 1) Find the volume of the composite figure

we know that

The volume of the figure is equal to the volume of a cone plus the volume of a hemisphere

<em>Find the volume of the cone</em>

The volume of the cone is equal to

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

we have

$r=7\ cm$

Applying Pythagoras Theorem find the value of h

$h^{2}=25^{2} -7^{2} \\ \\h^{2}= 576\\ \\h=24\ cm$

substitute

$V=\frac{1}{3} \pi (7)^{2} (24)$

$V=392 \pi\cm^{3}$

<em>Find the volume of the hemisphere</em>

The volume of the hemisphere is equal to

$V=\frac{4}{6}\pi r^{3}$

we have

$r=7\ cm$

substitute

$V=\frac{4}{6}\pi (7)^{3}$

$V=228.7\pi\cm^{3}$

therefore

The volume of the composite figure is equal to

$392 \pi\cm^{3}+228.7\pi\cm^{3}=620.7\pi\cm^{3}$

Part 2) Find the surface area of the composite figure

we know that

The surface area of the composite figure is equal to the lateral area of the cone plus the surface area of the hemisphere

<em>Find the lateral area of the cone</em>

The lateral area of the cone is equal to

$LA=\pi rl$

we have

$r=7\ cm$

$l=25\ cm$

substitute

$LA=\pi(7)(25)$

$LA=175\pi\ cm^{2}$

<em>Find the surface area of the hemisphere</em>

The surface area of the hemisphere is equal to

$SA=2\pi r^{2}$

we have

$r=7\ cm$

substitute

$SA=2\pi (7)^{2}$

$SA=98\pi\ cm^{2}$

Find the surface area of the composite figure

$175\pi\ cm^{2}+98\pi\ cm^{2}=273\pi\ cm^{2}$

4 0

3 years ago

30(30-x)=540 what is the value of x<br>

Artist 52 [7]

Answer:

x = 12

Step-by-step explanation:

Original equation:

30(30 - x) = 540

Use distributive property

30 · 30 = 900

30 · (-x) = -30x

Plug these values back into the equation

900 - 30x = 540

Subtract 900 from both sides

-30x = -360

Divide both sides by -30

x = 12

Hope this helped :)

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4 0

2 years ago