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cupoosta [38]
3 years ago
15

Maria built a tool that checks the rate of flow of liquid from one container to another. The tool consists of a cylindrical cont

ainer attached to a cubic container. The cylinder has a diameter of 5 centimeters and a height of 6 centimeters, and the cube has a side length of 5 centimeters, as shown in the diagram below.
What is the volume of the two containers that make up Maria’s tool?
a 690.2 cubic centimeters
b 596 cubic centimeters
c 266.3 cubic centimeters
d 242.75 cubic centimeters

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0

Answer:

I think it is  c 266.3 cubic centimeters

Step-by-step explanation:

Hope this helps

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Maris put trim around a mirror that is the shape of a square. Each side is 24 inches long. Maria has 1 foot of trim left. What w
Dahasolnce [82]

Answer:

16.028 yards

Step-by-step explanation:

1 inch=0.0833333 foot

24 inches=0.0833333×24

=1.9999992 foot

The mirror is square shaped and each side is 24 inches

If each 24 inches=1.9999992 foot

Then,

4 sides of 24 inches=1.9999992×24

=47.9999808 foot

Maria has 1 foot of trim left

Total Length of trim when she started=47.9999808+0.0833333

=48.0833141 foot

=16.02777136667 yards

Approximately,

16.028 yards

8 0
3 years ago
What is the value of the angle marked m?<br> Note: m is not a straight line!
Vadim26 [7]

Answer:

m = 145 °

Step-by-step explanation:

In the given figure XYZO

∠X + ∠Y + ∠Z + ∠XOZ = 360°

∠XOZ = 360 ° - 33 ° - 22 ° - 90 °

= 360 ° - 145 °

= 215 °

∠ m + ∠ XOZ = 360 °

∠m = 360 ° - 215 °

= 145 °

7 0
2 years ago
(2/3)^x-1=27/8, Find x. Please, a step-by-step explanation.​
Vaselesa [24]

Answer:

x=-2

Step-by-step explanation:

(2/3)^x-1=27/8

Rewriting the right hand side

(2/3)^x-1=(3/2)^3

We know that a^-b = 1/a^b  Hint: { 1/(3/2) = 2/3}

(2/3)^x-1=(2/3) ^-3

The bases are the same, so the exponents are the same

x-1 = -3

x -1+1 = -3+1

x = -2

8 0
3 years ago
Solve the equation. Check for extraneous solutions<br><br> please help!!!
lozanna [386]
!z!=a→z=a or z=-a; z=4x+3, a=9+2x

!4x+3!=9+2x
1) 4x+3=9+2x
Solving for x:
4x+3-3-2x=9+2x-3-2x
2x=6
2x/2=6/2
x=3

Checking for extraneous solution:
!4x+3!=9+2x
x=3→!4(3)+3!=9+2(3)
!12+3!=9+6
!15!=15
15=15 Ok, then x=3 is not a extraneous solution 

2) 4x+3=-(9+2x)
Solving for x:
4x+3=-9-2x
4x+3-3+2x=-9-2x-3+2x
6x=-12
6x/6=-12/6
x=-2

Checking for extraneous solution:
!4x+3!=9+2x
x=-2→!4(-2)+3!=9+2(-2)
!-8+3!=9-4
!-5!=5
5=5 Ok, then x=-2 is not a extraneous solution

Answer:
x = -2 or 3 
4 0
3 years ago
The quality assurance department at a gear found that there were 3 defective gears for every 500 produced. Write this as a fract
vaieri [72.5K]

Answer:

3/500

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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