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3 years ago

Find the radius of the cylinder with height 6 cm with volume 54 cubic cm

2 answers:

8 0

We know, Volume of a Cylinder = πr²h

Now, Substitute all the given values,
54 = 3.14 * r² * 6

54 = 18.84 * r²

r² = 54/18.84

r = √2.866

r = 1.7 [ After rounding-off ]

In short, Your Answer would be: 1.7 cm

Hope this helps!

Lubov Fominskaja [6]3 years ago

4 0

V = pi r^2 h
54 = 3.14 * r^2 * 6
54 = 18.84 r^2
Divide both sides by 18.84
r^2 = 2.866
Square root both sides
r = 1.7

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Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

NARA [144]

Answer:

Slope of this line is given by:

Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

$x_1=3, y_1=1.5\\x_2=5, y_2=2.5$

Change in x coordinate = $x_2-x_1=5-3 = 2$

i.e. total time taken is 2 hours.

Change in y coordinate = $y_2-y_1=2.5-1.5 = 1$

i.e. total land mowed taken is 1 acre.

In other words, it takes 2 hours for Aaron to mow 1 acre of land.

So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.

Rate of mowing lawn is the land mowed by Aaron in 1 hour.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = $\frac{1}{2}$ acre i.e. 0.5 acre

Also, slope of a line is given as:

$m = \dfrac{y_2-y_1}{x_2-x_1}$

Here $y_2 - y_1 = 1$

$x_2 - x_1 = 2$

As per formula:

$m = \dfrac{1}{2} = 0.5$

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

6 0

3 years ago

Read 2 more answers

Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.

PIT_PIT [208]

Answer: The approximate area of the circle is: 3,629.84 cm² .
______________________________________________________
Area of a circle, "A" : A = π * r² ;

in which: A = Area of circle ;
π ≈ 3.14 ;
 r = radius;

radius of a circle, "r" = d / 2 ; in which: "d = diameter" ;

Given "d = 64 cm " ;

r = d / 2 = 64 cm / 2 = 32 cm ;
____________________________________________
So; A = π * r² ;

A ≈ (3.14) * (32 cm)² ;

A ≈ (3.14) * (1156 cm²) ;
_____________________________________________

A ≈ 3,629 .84 cm² .
_____________________________________________

3 0

2 years ago

The length of the top of a computer desk is 2 1/4 feet longer than it’s width. If it’s width measures y feet, express its length

Lera25 [3.4K]

Answer:

The length as an algebraic expression in y is $y + (2\frac{1}{4} )$ ft

Step-by-step explanation:

The measure of the width of the computer desk = y feet

The measure of the length of the desk = width + 2 1/4 ft

⇒Measure of Length = $y + (2\frac{1}{4} )$ ft

Hence, the length as an algebraic expression in y is $y + (2\frac{1}{4} )$ ft

5 0

3 years ago

Solve the equation x³ - 5x²+2x+8 = 0 given that - 1 is a zero of f(x)= x3 - 5x²+2x+8.

exis [7]

Answer:

added in the picture

Step-by-step explanation:

added in the picture

3 0

1 year ago

Please help me ASAP. For homework due right now

sveta [45]

Answer:

at least 20 rows.

Step-by-step explanation:

when you add the students, teachers, and chaperones, it comes to 159. then you divide 159 by the number of seats each row has, so 159/8 = 19.875, you would have to round to the nearest whole number so 20 should be correct.

5 0

2 years ago