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3 years ago

The volume of a sphere is increased by 6%. Calculate the corresponding percentage increased in it area.

Mathematics

1 answer:

lions [1.4K]3 years ago

3 0

Answer:

The new volume will be V + 0.06V or 1.06V

Step-by-step explanation:

The volume of the sphere increased by 6% or 0.06V. This means the total volume of the sphere will be V + 0.06V or 1.06V.

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How would I solve this equation by showing my worki on each side?<br> X divided by 10= 7

Sav [38]

Answer:

x=70

Step-by-step explanation:

x/10=7

First you need to get the x by itself, so you should do the opposite of what is happening to the x.

In this case the x is being divided so you would need to multiply.

So multiply the x by 10 and this gets it by itself.

But you have to do to one side what you do to the other.

So multiply the other side by 10 as well!

This equals x=70

To show work on both sides, show the multiplication of both sides by 10

4 0

3 years ago

How can I solve this problem (5^3)^-2? Can you help me

ICE Princess25 [194]

First multiply the power, 3 x -2 = -6
Thus, 5^-6
Make the power positive
1/5^6
1/15625

4 0

3 years ago

PLEASE ANSWER FAAST!! A car wheel has a diameter of 20.8 inches. About how far does the car travel in 5 rotations?

SCORPION-xisa [38]

Answer:

65.312 inches

326.56 inches

1959.36 inches

Step-by-step explanation:

Given

d = 20.8 inches

To find

Travel in 1, 5, 30 rotations

Solution

Circumference of the wheel is equal to one full rotation

C = πd = 3.14*20.8 = 65.312 inches

5C = 5*65.312 = 326.56 inches

30C = 30*65.312 = 1959.36 inches

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

3 years ago

It costs $10 to get into the dance and snacks are $2 each. If you have $30 to spend, how many snacks can you buy?

Oliga [24]

Answer:

10 Because if u do 30-10=20 and then 20÷2= 10

3 0

3 years ago