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Svetlanka [38]
3 years ago
14

Winnie poured 14 cups of water into a rectangular container measuring 13 inches by 7 inches by 6 centimeters. [1 cup = 14.44 cub

ic inches; 1 inch = 2.54 cm] Part A: What is the maximum volume of water that the rectangular container can hold? Show your work. (3 points) Part B: How many cubic inches of water was poured into the container? (3 points) Part C: What was the height of the water in the container? Show your work. (4 points)
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0
Part A: 
<span>Max volume = Volume of container = 13 in x 7 in x 6 in = 546 in^3 </span>

<span>Part B: </span>
<span>1 cup = 14.4375 in^3 </span>
<span>
14 cups = 14.4375 in^3 x 7 = 202.125 in^3 </span>

<span>Part C: </span>
<span>Height of water = (202.125 in^3)/(13 in x 7 in) = 2.22 in.</span>
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Xyz are in 3:3:6.what are the measures of the angles
Anni [7]
Answer:

Set up an equation equal to <span>180o</span>

Explanation:

<span>3x+3x+6x=180</span>

<span>12x=180</span>

<span>x=<span>18012</span>=15</span>

So, the measure of the angles are:

<span>3x=3×15=45</span>
<span>3x=3×15=45</span>
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6 0
3 years ago
Factorize completely, x2 - 25
Furkat [3]
(x+5)(x-5) , You use difference of two squares to do this. Remember that if the sign in the equation was (+) then you wouldn’t be able to continue factoring. You can only factor equations like these if there is a subtraction sign.
7 0
2 years ago
For the following pair of functions, find (f+g)(x) and (f-g)(x).
ch4aika [34]

Given:

The functions are

f(x)=4x^2+7x-5

g(x)=-9x^2+4x-13

To find:

The functions (f+g)(x) and (f-g)(x).

Solution:

We know that,

(f+g)(x)=f(x)+g(x)

(f+g)(x)=4x^2+7x-5-9x^2+4x-13

(f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)

(f+g)(x)=-5x^2+11x-18

And,

(f-g)(x)=f(x)-g(x)

(f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)

(f+g)(x)=4x^2+7x-5+9x^2-4x+13

(f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)

(f-g)(x)=13x^2+3x+8

Therefore, the required functions are (f+g)(x)=-5x^2+11x-18

and (f-g)(x)=13x^2+3x+8.

7 0
3 years ago
For a popular Broadway musical, the theater box office sold 356 tickets at $80 apiece, 275 tickets at $60 apiece, and 369 ticket
Stella [2.4K]
For 356 ticket, each ticket is $80, so all of those tickets cost 356 × 80 = $28,480.
For 275 ticket, each ticket is $60, so all of those tickets cost 275 × 60 = $16,500.
For 369 ticket, each ticket is $45, so all of those tickets cost 369 × 45 = $16,605.

For all of the tickets the box office took in you have to do:
28,480 + 16,500 + 16,605 = 61,585

<u>The answer is $61,585.</u>
3 0
3 years ago
3. What is the distance from (0,0) to (24,10) on the<br> coordinate plane?
Soloha48 [4]

\sqrt{(24-0)^{2}+(10-0)^{2}}=\boxed{26}

8 0
2 years ago
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