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ANTONII [103]
3 years ago
8

The combined area of the 3 windowpanes and frame shown below is 924 in.2. The frame is of uniform width. What is the side length

, x, of each square windowpane? The image is of two rectangles one inside the other. Inner rectangle is divided into three squares each having length x . The space between the two rectangles is 6 inch both in length and width. A. 10 in. B. 20 in. C. 15 in. D. 25 in.

Mathematics
1 answer:
wariber [46]3 years ago
5 0

Answer:

Option A. x=10\ in

Step-by-step explanation:

we know that

The combined area of the 3 windowpanes and frame is equal to

(3x+12)(x+12)=924\\ \\3x^{2}+36x+ 12x+144=924\\ \\ 3x^{2}+48x-780=0

using a graphing tool to solve the quadratic equation

The solution is x=10\ in

see the attached figure

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13×[4 (10^3)+2(10^2)+6(10^-1)​
notka56 [123]

Answer:13(4200+6*10-)

Step-by-step explanation:

5 0
3 years ago
Assume that the time it takes the housekeeping crew of a local hotel to clean a room varies uniformly between 28 and 45 minutes.
siniylev [52]

Answer:

The probability that the next room will require less than 32 minutes to clean

0.222222 = 22.22%

The probability that the next room will require more than 30 minutes to clean.

0.833333 = 83.33%

The mean

36.5

Standard deviation of the distribution

26.92

Step-by-step explanation:

Total Probable Outcomes = 18

Event 1

Possible outcomes less than 32 = 32-28 = 4

Probability less than 32 = 4/18 = 2/9 = 0.222222

Event 2

Possible outcomes less than 32 = 45-30 = 15

Probability less than 32 = 15/18 = 5/6 = 0.833333

Mean

Mean = (28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45)/18 = 36.5

Standard deviation of the distribution

*MS Excel file is attached for solution.

Download xlsx
4 0
2 years ago
Please hlp<br> due soon<br> pls help
Mnenie [13.5K]

Answer:

732π cm^3

Step-by-step explanation:

Volume of the biggest cone

(15^2 * π *20)/3 = 1500π cm^3

Volume of the smallest cone

20^3 : 16^3= 1500π : x

x = (1500π * 4096)/8000= 768π cm^3

Volume of the frustum = 1500π - 768π = 732π cm^3

3 0
3 years ago
1
Mumz [18]

Answer:

Perpendicular, 1

Step-by-step explanation:

Parallel means the same slope

Perpendicular is the reciprocal and opposite sign

6 0
2 years ago
Larry borrows $1300 at 5% simple interest per month. When Larry pays the loan back 3 years later, what is the total amount that
Dafna11 [192]
I think that it’s 3640
5 0
3 years ago
Read 2 more answers
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