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marta [7]
3 years ago
6

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to p

aint the house together? *
Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0

it should take 2 hours



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The volume of the cylinder above is 2,314.25, and the radius of the base is 8.9 Find the volume of the cone.
olga55 [171]

Answer: 771.41\ units^3

Step-by-step explanation:

The missing figure is attached.

The volume of an oblique cylinders and the volume of  a right cylinder can be found with this formula:

V_{cy}=\pi r^2h

Where "r" is the radius and "h" is the height.

The volume of an oblique cone and the volume of  a right cone can be found with this formula:

V_{co}=\frac{1}{3}\pi r^2h

Where "r" is the radius and "h" is the height.

According to the information given in the exercise, you know that the volume of the cylinder and also the radius of the cylinder and the cone ,are the following:

V_{cy}=2,314.25\ units^3\\\\r=8.9\ units

Therefore, in order to find the volume of the cone, you only need to multiply the volume of the cylinder by \frac{1}{3}.

Then, you get:

V_{co}=\frac{1}{3}(2,314.25\ units^3)\\\\V_{co}=771.41\ units^3

8 0
3 years ago
Read 2 more answers
Bottled apple juice is sold in four different sizes. Which is the best buy?
TiliK225 [7]

Answer:

A. 0.25 (rounded)

B. 0.19 (rounded)

C. 0.17 (rounded)

D. 0.17 (rounded)

Step-by-step explanation:

Hope that helped!

7 0
3 years ago
4^4x-5= 8^3x-4 solve
Alexxandr [17]

4^{4x-5}=8^{3x-4}\\\\(2^2)^{4x-5}=(2^3)^{3x-4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-5)}=2^{3(3x-4)}\iff2(4x-5)=3(3x-4)\qquad\text{use distributive property}\\\\(2)(4x)+(2)(-5)=(3)(3x)+(3)(-4)\\\\8x-10=9x-12\qquad\text{add 10 to both sides}\\\\8x=9x-2\qquad\text{subtract 9x from both sides}\\\\-x=-2\to \boxed{x=2}

8 0
3 years ago
-18-12+(24/-8)-2(-15+10)
tigry1 [53]

Answer:

-17

Step-by-step explanation:

-18-12+(24/-8)-2(-15+10)

-18-12(-3)-2(-5)

-18-9-2(-5)

-27-2(-5)

-27+10

-17

I hope this helps! Please mark as brainliest! :D Good Luck! :)

3 0
3 years ago
Find the distance from the point (1, 4) to the line y = 1/3x – 3.
Otrada [13]

Answer: Distance between line and point =

4√5 -3/2√10

Step-by-step explanation:

Distance between the line is

= √ ((9-0)²+(0+1)²)

= √ (89+1)

= √90

= 3√10

Half of the line = 3/2√10

Distance of one side of the line and the point.

= √((9-1)²+(0-4)²)

= √((8)²+(-4)²)

=√64+16

= √80

= 4√5

Distance between line and point =

4√5 -3/2√10

8 0
2 years ago
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