1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lukranit [14]
3 years ago
13

The combined area of the 3 windowpanes and frame shown below is 924 inches squared. The frame is of uniform width. What is the s

ide length, x, of each square windowpane?

Mathematics
2 answers:
Maslowich3 years ago
7 0

Answer:

The sides length x of each square windowpane is 10\ in

Step-by-step explanation:

we know that

924\ in^{2}=(6+3x+6)(6+x+6)\\ \\924=(12+3x)(12+x)\\ \\924=144+12x+36x+3x^{2}\\ \\ 3x^{2}+48x- 780=0

Solve the quadratic equation

using a graphing tool

The solution is x=10\ in

see the attached figure

Zinaida [17]3 years ago
3 0

Answer:

10 inches is the side length of each square windowpane.

Step-by-step explanation:

Length of the single window plane = x

Width of the single window plane = x

On combining all the windows pane ,length becomes , l= 3x

On combining all the windows pane ,width becomes , b= x

Length of the frame = L = 6 + 3x+ 6 = 12 + 3x

Width of the frame = B = 6 + x+ 6 = 12 + x

Area of the frame, A = L × B = (12+3x)\times (12+x)

Given sum of combined area of the 3 windowpanes and frame = 924 inch^2

a + A=924

(12+3x)\times (12+x)=924

144+48x+3x^2=924

3x^2+48x-780=

x^2+16x-260=0

x^2+26x-10x-260=0

x(x+26)-10(x+26)=0

(x+260)(x-10)=0

x = 10 (accept)

x  = -26 (reject)

10 inches is the side length of each square windowpane.

You might be interested in
What is the measure of m?
Tanya [424]
(6+18)^2 = m^2 + m^2
=> 2m^2 = (24)^2
=> m = 24/sqrt(2)
8 0
3 years ago
Angle C is an inscribed angle of circle P. Angle C measure (17x-2) and arc AB measure (20x+10). Find X
jeyben [28]
10x + 5 = 16x - 1 
<span>6x = 6 </span>
<span>x = 1 </span>
5 0
3 years ago
Lucia has 18 pieces of ribbon that she uses to decorate presents. One ribbon's length is 5/6 of a yard. How many yards of ribbon
suter [353]

Answer: 15 yards

Step-by-step explanation:

From the question, we are given the information that Lucia has 18 pieces of ribbon that she uses to decorate presents and that the length of one ribbon is 5/6 of a yard.

Therefore, the number of yards of ribbon that Lucia has will be gotten by multiplying 5/6 by the total pieces of ribbon. This will be:

= 5/6 × 18

= 15 yards

4 0
2 years ago
The area of one floor tile is 92.16 square inches.What is the area of a kitchen floor covered with 102 floor tiles?
Nataliya [291]

Answer:

9400.32 square inches

Step-by-step explanation:

The area of one floor tiles is 92.16

The area of a kitchen floor covered with 102 floor tiles can be calculated as follows

= 102 × 92.16

= 9400.32 square inches

Hence the area is 9400.32 square inches

8 0
3 years ago
Let f (7) = 12 and g(2) = 7, then what is the value of (f ∘ g)(2)
bazaltina [42]

Answer:

7

Step-by-step explanation:

yeah

6 0
3 years ago
Other questions:
  • Consider the figure shown on the coordinate plane. What are the coordinates of the midpoint of line segment CB?
    15·2 answers
  • 5.
    12·1 answer
  • Could anyone help me? I will mark you as brain liest who ever helps me!​
    14·2 answers
  • What is the y intercept of the line whose equation is y=1/2x-3
    10·1 answer
  • 1. A student lifts a box of books that weighs 200 N. The box is lifted 2.5 m. How much work
    5·1 answer
  • If the ratio of the edges of two cubes is 3:2, what is the ratio of the volume of the larger cube to the volume of the smaller o
    13·1 answer
  • I have test corrections and I'm having trouble figuring out what I did wrong. I just need how to get the answer and I should be
    13·1 answer
  • 2
    5·1 answer
  • 11. please help me outt ill mark you brainlist !
    5·1 answer
  • "
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!