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katovenus [111]
4 years ago
13

A cylinder with a radius of 4 yd and a volume of 80yd (find the height)

Mathematics
2 answers:
Afina-wow [57]4 years ago
7 0

Answer:

Height of the cylinder = 1.60yd

Step-by-step explanation:

Volume of a cylinder =

V = πr^2h

V - volume of cylinder

π - 3.142

r - radius of cylinder

h - height of cylinder

We are provided with

V - 80

r - 4

π - 3.142

h - ?

80 = 3.142 * 4^2 * h

80 = 50.272 * h

To find h, divide both sides by 50.272

80/50.272 = 50.272h/ 50.272

1.599 = h

h = 1.60yd

jasenka [17]4 years ago
4 0

Answer:

1.6 yd

Step-by-step explanation:

V=πr²h

80=π4²h

80=50.3h

1.6=h

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A basketball was originally priced at $25, but Tucker waited to buy it until the basketball was on sale for 20% off. If he paid
kotegsom [21]

Answer:

The answer to your question is $21.0

Step-by-step explanation:

Data

Original price = $25

Discount = 20%

Taxes = 5%

Process

1.- Calculate the price with the discount

                     $25 ------------------- 100%

                        x   -------------------   20%

                        x = (20 x 25) / 100

                        x = 500 / 100

                        x = $5

Price after the discount = $25 - $5

                                       = $20

2.- Calculate the price after taxes

                     $20 ---------------------- 100%

                         x  -----------------------   5%

                       x = (5 x 20) / 100

                       x = 100 / 100

                       x = $1

Final price = $20 + $1

                = $21  

3 0
3 years ago
You saved $300 to spend over the summer. You decide to budget $50 to spend each week.
Oduvanchick [21]

Answer:

<u>Part c) </u>

The Slope of the line is: m=-50 and represents the amount of money spent per week.

<u>Part d) </u>

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

Step-by-step explanation:

To solve this question we shall look at linear equations of the simplest form reading:

y = mx+c    Eqn(1).

where:

y: is our dependent variable that changes as a function of x

x: is our independent variable that 'controls' our equation of y

m: is the slope of the line

c: is our y-intercept assuming an x⇔y  relationship graph.

This means that as x changes so does y as a result.

<u>Given Information: </u>

Here we know that $300 is our Total budget and thus our maximum value (of money) we can spend, so with respect to Eqn (1) here:

c=300

The budget of $50 here denotes the slope of the line, thus how much money is spend per week, so with respect to Eqn (1) here:

m=50

So finally we have the following linear equation of:

y= - 50x + 300    Eqn(2).

Notice here our negative sign on the slope of the line. This is simply because as the weeks pass by, we spend money therefore our original total of $300 will be decreasing by $50 per week.

So with respect to Eqn(2), and different weeks thus various x values we have:

Week 1: x=1 we have y= -50 *1 + 300 = -50 +300 = 250 dollars.

Week 2: x=2 we have y= -50 *2 + 300 = -100 +300 = 200 dollars.

Thus having understood the above we can comment on the questions asked as follow:

<u>Part c) </u>

The Slope of the line is: m=-50 and represents the amount of money spent per week.

<u>Part d) </u>

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

4 0
3 years ago
Write the slope intercept form of the equation of the line through the given points. (5,-1) and (-5,2)
Lelu [443]

Answer:

y=-\frac{3}{10} x+\frac{1}{2} or -\frac{3}{10}

Step-by-step explanation:

first use the y2-y1/x2-x1 formula then use y=mx+b after

plug in 2 for y2 and -1 for y1

plug in -5 for x2 and 5 for x1

\frac{2-(-1)}{-5-5}=

2+1=3

-5-5=-10

-\frac{3}{10} is ur slope

_____________________

this is the y=mx+b formula *extra info ig*

i usually use the first point for this but u can use watever point u want

plug in 5 for x

plug in -1 for y

and plug -3/10 for m

-1=-3/10(5)+b

-3/10*5=-3/2

-1=-3/2+b

add -3/2 on both sides

-1+3/2=1/2

1/2=b and b is ur y-intercept

y=-3/10x+1/2

hope this helps

7 0
3 years ago
Let f(x) = 3x + 2 and g(x) = x - 3. Find g(x) - f(x) and state its domain.
Bad White [126]
We have that

<span>f(x) = 3x + 2
</span><span>g(x) = x - 3

[</span>g(x) - f(x)]=(x-3)-(3x+2)--------> (x-3-3x-2)-----> -2x-5

the domain is all real numbers

the answer is
<span>–2x – 5; all real numbers</span>
3 0
3 years ago
The solution to the equation 4x^2+98=0 is
xxTIMURxx [149]
Here's the answer for either!

3 0
3 years ago
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