What addition double fact can help you find 4+3? Explain how you know

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 80 mm? Evaluate

Komok [63]

Well, if it is increasing at a fixed rate of 2 mm/s, then the volume would still be increasing at a rate of 2 mm/s when the diameter is 80 mm, if I understand your question correctly.

7 0

3 years ago

How big is a piece of A4 paper?

svlad2 [7]

Answer:

210 x 297 mm

Hope that this helps!

5 0

3 years ago

Find the equation of the graphed line.

GrogVix [38]

Answer:

a. y = -1/2x - 2

Step-by-step explanation:

The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.

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<h3>slope</h3>

The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...

m = rise/run = -2/4 = -1/2

In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.

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<h3>equation</h3>

The slope-intercept equation is ...

y = mx +b . . . . . . . slope m, y-intercept b

We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...

y = -1/2x -2 . . . . . matches choice A

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<em>Additional comment</em>

When answering multiple-choice questions, you only need to do enough work to tell which answers are <em>not</em> viable.

When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.

8 0

1 year ago

The angle of elevation of a tower, 45 m high from a ball on the ground 52 degree (a) how far is the ball from the foot of the to

blsea [12.9K]

The distance of the ball from the foot of the tower is : 35.18m

The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.

<h3>What is angle of elevation?</h3>

Angle of elevation is the angle formed between the horizontal and the line of view from the vertical.

Analysis:

The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.

so we use trigonometry.

a) let distance of the ball from foot of tower be x.

so that, tan 52 = 45/x

x = 45/tan52

x = 45/1.279 = 35.18m

b) let the distance of the ball in the new position from the foot of the tower be y.

if the angle of elevation is halved, then new angle is 52/2 = 26°

tan 26 = 45/y

y = 45/tan26 = 45/0.487 = 92.4m

distance moved from old position to new position = 92.4 - 35.18 = 57.2m

In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.

Learn more about angle of elevation: brainly.com/question/88158

#SPJ1

4 0

2 years ago

Write the equations in graphing form, then state the vertex of the parabola or the center and radius of the circle.

Sati [7]

All we need is to put this form in the vertex form f(x) = (ax+b)^2 + c

So we have <span>f (x)= 3x^2+12x+11 ....

Let's complete the square (if you aware of it)
</span><span>
f(x)= 3x^2+12x+11 = 3(x^2+4x)+11 = 3(x^2+4x+4-4)+11
=</span><span> 3([x^2+4x+4]-4)+11 = 3[(x+2)^2-4]+11 =3</span><span>(x+2)^2 - 12 +11 = 3</span><span><span>(x+2)^2 -1

so our form would be:

$f(x)=3(x+2)^2-1$

Here is a parabola with vertex of (-2,-1) and with positive </span> slope (concave up)

</span>

I hope that helps!

6 0

3 years ago