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Verizon [17]
3 years ago
9

The perimeter of a rectangular window is 2626 feet. The width of the window is 33 feet more than the length. What are the dimens

ions of the​ window?
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0
Alright, if the width is w and the length is l, 
l+33=w
2w+2l=2626.
Substituting w for l+33, we get 2(l+33)+2l=2626 and 2l+66+2l=2626 using the distributive property. Next, we get 4l+66=2626 and subtracting 66 from both sides, we get 4l=2560. Dividing by 4, we get 640=l and since w=33+l , w=673
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How many inches are in 15 feet ?
Kay [80]
180................................................................................
6 0
3 years ago
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Find the area of the blue shape below. Use 3.14 for π
Anika [276]

Answer:

1413.86 ft^2.

Step-by-step explanation:

The diameter of the circle = 50 - 2(18)

= 50-36

=  14 ft.

So its radius is 7 ft.

The total area of the blue shape

= 2(35 * 18) + 3.14*7^2

= 1413.86 ft^2.

7 0
2 years ago
8x+x^2-2y-64+y^2=0 standard form with explanation
xz_007 [3.2K]
X² + 8x +y² - 2y -64 =0
We see that the equation has x² and y² . Also we see that coefficients in front of x² and y² are equal. So this is an equation of the circle.
(x² + 8x) +(y² - 2y) -64 =0
(x² + 8x) +(y² - 2y) = 64
We need to complete square for x and y groups, that means it should be written in form (a+b)² or (a-b)².
Expressions in parenthesis we will write as a²+/-2ab+b², to write it after as (a+/-b)², because  a²+/-2ab+b² = (a+/-b)²

(x² + 2*4x) +(y² - 2*1y) = 64
(x² + 2*4x+4²) +(y² - 2*1y+1²) = 64+4²+1²
(x+4)² + (y-1)²= 81 Sometimes this is called a standard form of the circle.
(x+4)² + (y-1)²= 9² Sometimes it is required to write like this.

And if you are studying circles,ellipses  and hyperbolas, the standard form should look like
\frac{(x+4)^{2}}{9^{2}} + \frac{(y-1)^{2}}{9^{2}} =1






8 0
3 years ago
Four runners start at the same point; Lin, Elena, Diego, Andre. For each runner write a multiplication equation that describes t
Burka [1]

<u>Answer:</u>

Lin: 25 × 8,2 =<em> 205 meters</em>

Elena: 250 ÷ 28 = <em>8,9 meters per second</em>

Diego: 32 × (-8,1) = <em>-250,2 meters</em>

Andre: -258 ÷ 25 = <em>-10,32 meters per second </em>

7 0
2 years ago
PLEASE SOLVE THIS PROBLEM ​
schepotkina [342]

Answer:

18) Area= 5*5/2=25/2=12.5 unit ^2

19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2

Step-by-step explanation:

18. A(-3,0)

B(1,-3)

C(4,1)

AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5

AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2

BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5

so AB=BC=5

and AC^2=AB^2+BC^2

so trg ABC is an isosceles right  angle triangle (<B=90)

Area= 5*5/2=25/2=12.5 unit ^2

19. A(a,a)

B(-a,-a)

C(-V3a, V3a)

AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2

AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2

BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2

so AB=AC=BC

Area=AB^2V3/4=8a^2*V3/4=2V3a^2

7 0
3 years ago
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