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Mkey [24]
3 years ago
10

A ballroom in a hotel has the shape shown. The manager needs to determine how much carpet is needed to recarpet this area. All a

ngles are right angles. What is the area of the ballroom?
Question 3 options:

42 sq yds


72 sq yds


82 sq yds


100 sq yds

Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0
Area of a rectangle=length x width


You have two rectangles:


First rectangle (the biggest):
length=9 yd
width=12 yd-6 yd=6 yd

Area of the biggest rectangle=(9 yd)(6 yd)=54 yd²

Second rectangle (the smallest)
length=6 yd
width=3 yd

Area of the smallest rectangle=(6 yd)(3 yd)=18 yd²

Area of the ballroom=area of the biggest rectangle + area of the smallest rectangle.

area of the ballroom=54 yd² +18 yd²=72 yd²
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(-3x^2+4x-2)/(-3x+19)
prohojiy [21]
\left[x _{1}\right] = \left[ \frac{2}{3}+\left( \frac{-1}{3}\,i \right) \,\sqrt{2}\right][x​1​​]=[​3​​2​​+(​3​​−1​​i)√​2​​​] totally answer
7 0
3 years ago
Read 2 more answers
Hi, Could anyone help me with my homework
tatiyna

Answer:

\hookrightarrow \sf  x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096

solving steps:

\rightarrow \sf (x + 4)^6

\bold{rewrite \ the \ following}

\rightarrow \sf (x + 4)^2   (x + 4)^2   (x + 4)^2

\bold {formula \ used : \sf  (x+a)^2 = (x^2 + 2xa + a^2)}

\rightarrow \sf (x^2 + 8x+16)    (x^2 + 8x+16)    (x^2 + 8x+16)

\bold{simplify \ by  \ removing \ parenthesis}

\rightarrow \sf (x^4 +8x^3 + 16x^2 + 8x^3 +64x^2 + 128x+16x^2+128x+256 ) (x^2 + 8x+16)

\bold{basic \ addition \ of \ integers }

\rightarrow \sf (x^4+16x^3+96x^2+256x+256) (x^2 + 8x+16)

\bold{remove \ parenthesis}

\rightarrow \sf (x^6 + 16x^5 + 96x^4 + 256x^3 + 256x^2 + 8x^6 + 128x^4 + 768x^3 + 2048x^2 + 2048 + 16x^4 + 256x^3 + 1536x^2 + 4096x + 4096)

\bold {final \ answer:}

\rightarrow \sf  x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096

8 0
2 years ago
During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emission
Zinaida [17]

Answer:

-1.683

Step-by-step explanation:

Given :

Group 1 :

x1 = 667 ; n1 = 10 ; s1 = 20

Group 2 :

x2 = 679 ; n2 = 14 ; s2 = 15

The test statistic assuming equal variance :

x1 - x2 / √[Sp² * (1/n1 + 1/n2)]

sp² = [(n1 - 1)*s1² + (n2 - 1)*s2²] ÷ (n1 + n2 - 2)

Sp² = [(10 - 1)*20² + (14 - 1)*15²] = 296.59

Test statistic =

(667 - 679)/ √[296.59 * (1/10 + 1/14)]

-12 / 7.1304978

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8 0
3 years ago
Chris is at the deli and spent $13.65 for 1.75 pounds of turkey. What was the cost per ounce for turkey?
kvasek [131]

Answer:

0.4875 cents per ounce

Step-by-step explanation:

16 ounces per pound

1.75 lbs x 16 = 28 ounces

$13.65/28 ounces = .4875 cents/ounce

Check: 0.4875 cents x 28 ounces = $13.65

5 0
3 years ago
Please help with 4-9!!!
olya-2409 [2.1K]

sdfsdf

4) \frac{3m+15}{2} = 22.5

Multiply by 2 on both sides

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Subtract both sides by 15

3m = 30

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so m = 3

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168 = q + 35

Subtract both sides by 35

q = 133

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multiply by -11 on both sides

4x = 572

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Add 6 on both sides

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\frac{t}{-2} =26

Multiply both sides by -2

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subtract 2 from both sides

40 = 5p

Divide both sides by 5

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6 0
3 years ago
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