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shepuryov [24]
3 years ago
12

If a 25 in. by 32 in. window has a wooden frame 2 inches wide surrounding it, what is the total area of the window and frame?

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0

Answer:

1044 sq. inches

Step-by-step explanation:

The frame adds 2 inches on each side of the window, so the width becomes 29 in. and the length becomes 36 in.

Area = width × length

So the total area of the window and the frame is:

A = 29 × 36 = 1044 in²

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An airplane climbs 100 feet during the first second after takeoff. In each succeeding second it climbs 100 feet more than it cli
tigry1 [53]

Answer:

15 seconds.

Step-by-step explanation:

∵ The distance covered by plane in first second = 100 ft,

Also, in each succeeding second it climbs 100 feet more than it climbed during the previous second,

So, distance covered in second second = 200,

In third second = 300,

In fourth second = 400,

............, so on....

Thus, the total distance covered by plane in n seconds = 100 + 200 + 300 +400......... upto n seconds

=\frac{n}{2}(2\times 100 + (n-1)100)  ( Sum of AP )

=\frac{n}{2}(200+100n-100)

=\frac{n}{2}(100+100n)

=50n+50n^2

Suppose the distance covered in n seconds is 12,000 feet,

\implies 50n+50n^2=12000

n+n^2=240

n^2+n-240=0

n^2+16n-15n-240=0

n(n+16)-15(n+16)=0

(n-15)(n+16)=0

\implies n=15\text{ or }n=-16

∵ n can not be negative,

Hence, after 15 seconds the plane will reach an altitude of 12,000 feet above its takeoff height.

6 0
3 years ago
Read 2 more answers
The measure of each interoir angle of a regualr polygon is 144 . how many sides does this polygon have
egoroff_w [7]
Each Interior Angle = 180 - (360 / number of sides)
# of sides = -360 / (Each Interior Angle -180)
# of sides = -360 / (144 -180)
# of sides = -360 / -36
# of sides = 10












6 0
3 years ago
Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B655%20%20%5Ctimes%20655%7D%20" id="TexF
S_A_V [24]

Answer:

\sqrt{655*655} =655

Step-by-step explanation:

655*655 is pretty much equal to 655²

the square root of a number to the power of 2 is equal to the number without the power

so √655² would be equal to 655

4 0
3 years ago
Read 2 more answers
Hey, everyone. This is from canvas, the picture I included was my grade. I believe this is called Box and Whiskers, I'm not sure
Ilya [14]

Answer:

Yes

Step-by-step explanation:

This is called Box and Whiskers or box plot.

The box in the middle contains 50% of data and the right end of the box is 75th percentile, you are correct.

25% of data is distributed to the left and 25% of data to the right of the box that is in the middle.

7 0
3 years ago
Determine the solution set of x2 - 80 = 0
meriva

                                         x²  -  80  =  0
Add 80
to each side:                      x²          =  80

Square root
each side:                         x            =  √80

Look it up:                        x  =  + 8.944... (rounded)
                                 and
                                       x  =  - 8.944...  (rounded).
___________________________________

Here's a cleaner solution:

                                         x²  -  80  =  0
Add 80
to each side:                      x²          =  80

Square root
each side:                         x            =  √80

 But  80 = 16 · 5

 So     √80  =  √16 · √5

            √16 = 4, so            x  = 4 √5      

 

8 0
3 years ago
Read 2 more answers
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