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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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When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a
N76 [4]

Answer:

(34, 48)

Step-by-step explanation:

According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean.  That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:

41 - 7 < mean < 41 + 7, or

34 < mean < 48, or simply (34, 48)

6 0
2 years ago
A large concrete mixing machine can mix a certain amount of concede in 12 hours, while a smallet one can mix
Andrews [41]

Answer:

[(1/12)(5/5) + (1/20)(3/3)](x hours) = 1

(5/60 + 3/60)x = 1

(8/60)x = 1 we can reduce 8/60 by dividing out a 4

(2/15)x = 1 x both sides by 15/2

x = 15/2

x = 7 1/2 or 7.5 hours

5 0
3 years ago
Am solving this problem correct
cestrela7 [59]
A) The degree of the first term is... 1
first \ term = 3t
The degree of the second term is... 2
second \ term = t^2
The degree of the third term is... 4
third \ term = t^4

b) The leading term of the polynomial is... 7t⁴
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6 0
3 years ago
Read 2 more answers
Find the volume of cylinder<br> Diameter of base is 11 cm<br> Height of cylinder is 16cm
just olya [345]

Answer:

1520.5 cm³

Step-by-step explanation:

Volume formula for cylinder: V = πr²×h

Radius = 11 ÷ 2

           = 5.5cm

Volume = π × 5.5² × 16

             =1520.5cm³

3 0
3 years ago
The perimeter of a rectangle is 46in and the diagonal is 17 in
dmitriy555 [2]

Answer + explaination

p=2*(L+l)=46

L+l=46:2

L+l=23

(L+l)^2=529

(L^2+l^2)+2l*L=529

D= V L^2+l^2= 17

L^2+l^2=289

so 289+2l*L=529

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l*L=240:2

A=120

4 0
2 years ago
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