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nalin [4]
4 years ago
6

A cylindrical bucket can hold approximately 301.44 in. The height of the bucket is about 6 inches. What is the diameter of the b

ucket to the nearest inch?
Mathematics
1 answer:
Karolina [17]4 years ago
3 0

Answer:

The diameter is 8 inches

Step-by-step explanation:

This problem bothers on mensuration of solid shapes, this in particular a cylindrical

Given data

Volume of cylinder in inches v=301.44in^3

Height of the bucket h= 6 inches

Radius r=?

To solve for the diameter we neeed to solve for the radius and multiply It by 2 to get the diameter

We know that the volume of a cylinder is given as

v= πr^2h

301.44= 3.142*r^2*6

301.44= 18.85*r^2

r^2= 301.44/18.85

r^2= 15.99

r=√15.99

r=3.998in

We know that the

diameter d =2r

Therefore d= 3.99*2

d= 7.997in

≈ d = 8 inches

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She worked a total of 15 hours. If she makes $15 per hour tutoring and $9 per hour at the grocery store and made a total of $159
Ugo [173]

Answer:

11 hours she worked at the grocery store

Step-by-step explanation:

assuming,

the number of hours worked at tutoring = x

the number of hours worked at grocery store = y

which means,

the amount she made at tutoring = x* $15

the amount she made at grocery store = y*$9

we have 2 equations

<em>total number of hours</em>

1) x+y= 15  

<em>total amount she earned</em>

2) x* $15+ y* $9= $159

From equation 1

x+y= 15  

x=15-y

<em>we replace this x value in equation 2</em>

x* $15+ y* $9= $159

(15-y)* $15+ y* $9= $159

(15*15)- 15y+9y=159

225-6y=159

225-159=6y

66=6y

66/6=y

<u>11=y</u>  <em>the number of hours she worked at grocery store. </em>

<em>we place y=11 in our derived x equation</em>

x=15-y

x=15-11

<u><em>x=4 </em></u><em>the number of hours she worked at tutoring. </em>

3 0
3 years ago
Someone pls help:( I can’t
max2010maxim [7]

Answer:

x = 8 is the answer :)

Step-by-step explanation:

Slope(m) = -2/5

slope is passing through the points: (x,1) and (3,3)

m=\frac{y_2-y_1}{x_2-x_1}

m = \frac{3-1}{3-x}

m=\frac{2}{3-x}

-\frac{2}{5} =\frac{2}{3-x}

-2(3 - x) = 2 × 5

-6 + 2x = 10

2x = 10 + 6

2x = 16

x = 8

Hopefully, this answer helped :)

8 0
3 years ago
31. If x = 5, which number sentence is true?
Katarina [22]

Answer:

D

Step-by-step explanation:

D. 2(5) > 7

    10 > 7

7 0
3 years ago
Read 2 more answers
If you were given the equation: 3x-2=19, what would be the justification for the first step after “Given”?
crimeas [40]

The answer to that is 7 but i dont get the last part

8 0
4 years ago
Read 2 more answers
Kareem cuts 12 identical circles of pastry form a 30cm by 40cm sheet. Find the area of pastry {which remains}
ch4aika [34]
<h3>Exact Area = 1200 - 300pi   square cm</h3><h3>Approximate Area = 257.522203923062 square cm</h3>

Work Shown:

The area of the rectangle is 40*30 = 1200 square cm

Note how we have 4 circles along the horizontal dimension which is 40 cm, so each diameter is 40/4 = 10 cm, and the radius is 10/2 = 5 cm

Each circle has an area of pi*r^2 = pi*5^2 = 25pi

There are 4*3 = 12 circles, so the circle areas combine to 12*25pi = 300pi

Using a calculator, we find that 1200 - 300pi = 257.522203923062 approximately. Round this however you need to.

6 0
3 years ago
Read 2 more answers
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