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3 years ago

15

EZ 35 POINTS

1 answer:

VLD [36.1K]3 years ago

6 0

Kent can paint the room 1/5
luannda can paint the room 1/3
(3+5) (5*3) = 8/15 or 0.53 th of the room together but just for kent would be 1/5

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The volume of the pyramid shown in the figure is cubic centimeters. If the slant height of the pyramid increases by 4 centimeter

Nostrana [21]

Answer:

Part a) The volume of the original pyramid is $15\ cm^{3}$

Part b) The volume of the pyramid increases by $6\ cm^{3}$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Part 1) The volume of the pyramid shown in the figure is 9,15,21, or 63 cubic centimeters?. Part 2) If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by 6,9,12 or 21 cubic centimeters?

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base

h is the height of pyramid

see the attached figure to better understand the problem

Step 1

Find the volume of the original pyramid

the area of the base B is equal to

$B=3^{2}=9\ cm^{2}\\h=5\ cm$

substitute

$V=\frac{1}{3}(9)(5)=15\ cm^{3}$

Step 2

Find the volume of the new pyramid

$B=9\ cm^{2}$ -------> the area of the base is the same

$h=5+2=7\ cm$ ------> the height increase by

substitute

$V=\frac{1}{3}(9)(7)=21\ cm^{3}$

Subtract the original volume from the new volume

$21\ cm^{3}-15\ cm^{3}=6\ cm^{3}$

5 0

3 years ago

Express (5a to the power 2) x (2b to the power 2) x (c) as a power of a product.

ella [17]

Answer:

50 a^2 b c^2

Step-by-step explanation:

I'm quite confused about your question, but I try my best. I have attached the explanation above. Hopefully this will help

4 0

3 years ago

Solve<br><br> y=34x<br> y=-54x+52

jeyben [28]

Answer:

x= 13/22

Step-by-step explanation:

you can substitute y= 34 x on the second equation

34x = -54x +52 add 54x to both sides

34x +54x = -54x +54x +52

88x = 52 divide both side by 4

22x = 13 divide both sides by 22

x= 13/22

5 0

2 years ago

Read 2 more answers

Need help ASAP!!!!!

svetlana [45]

Answer:

cos 45 degree = A/H

cos 45 degree = 2 square root 2 / x

x = 2 square root 2 / cos 45 degree

x = 4

Sin 45 degree = O/H

Sin 45 degree = y/ 4

4 x Sin 45 degree = y

y = 2.83

or

we could use tan

tan 45 degree = O/A

tan 45 degree = y / 2 square root 2

2 square root 2 x tan 45 degree = y

y = 2.83

i hope this would elp a little bit.

3 0

3 years ago

Please help ASAP!!!!!!!!!!

Alexxandr [17]

Value of x is 10

Step-by-step explanation:

Step 1: Here, x is the hypotenuse of the right angled triangle. Use the trigonometric ratio cosine to find x.

cos 28° = adjacent side/hypotenuse = 11/x

⇒ x = 11/cos 28° = 11/-0.96 = -11.46 ≈ 10 (rounding off to nearest tenth)

6 0

3 years ago