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Komok [63]
2 years ago
12

The dimension of a mural pointed on the wall of a school is 10 ft by 22 ft. the art club wants to paint a new mural that is x fe

et longer and x feet wider. Find the new dimensions of the new mural with an area of 540 square feet
Mathematics
1 answer:
Westkost [7]2 years ago
6 0

Answer:

  • 18 ft and 30 ft

Step-by-step explanation:

<u>The new dimensions will be:</u>

  • 10 + x and 22 + x

The area is 540

<u>Using area equation we get:</u>

  • (10 + x)(22 + x) = 540
  • x² + 32x + 220 = 540
  • x² + 32x = 320
  • x² + 2x*16 + 256 = 320 + 256
  • (x + 16)² = 576
  • x + 16 = √576  (Ignoring the negative root as the length is never negative)
  • x + 16 = 24
  • x = 8

<u>The new dimensions are:</u>

  • 10 + 8 = 18 ft and
  • 22 + 8 = 30 ft
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klio [65]

Answer:

260.55682 mL

Step-by-step explanation:

Given :

(1 lb =454 g, 1 L= 1.0567 qt, 4 cups=1 qt, 1 L=1000 mL)

1 pounds of coffee beans = 50 cups of coffee

Number of mL of coffee that can be obtainwd from 10 g of coffee beans

1 pound = 454g

10 * 50 cups = 500 cups / 454 = 1.1013215 cups

1.1013215 / 4 = 0.2753303 qt

0.2753303 qt / 1.0567 qt = 0.2605568 L

0.2605568 L * 1000 = 260.55682 mL

7 0
3 years ago
Write the equation of the perpendicular bisector of if A(–6, –4) and B(2, 0).
mart [117]

Answer:

(-2 , -2)

Step-by-step explanation:

Here,

(-6,-4)=(x1,y1)

(2,0)=(x2,y2)

Mid point formula,

(x,y)=(x1+x2/2 , y1+y2/2)

=(-6+2/2 , -4+0/2)

=(-2 , -2)

3 0
3 years ago
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
dolphi86 [110]

Answer:

1-7i

Step-by-step explanation:

Multiply the parenthesis

-3-4i-3i-4i²

By Definition i²=-1

-3-4i-3i-4 x (-1)

Any expression multiplied by -1 equals its opposite

-3-4i-3i+4

Calculate the sum

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Collect like terms

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8 0
4 years ago
Solve for x because it was too hard to me
Yuri [45]
This is tricky
lets try  substituting  y = √)6x - 9)

√(6 - y) + √(6x + y) = √6

squaring both sides:-

6 - y + 6 + y - 2√(6 - y)(6 + y) = 6
12 - 2√(6 - y)(6 + y) = 6
√(6 - y)(6 + y) = (6-12) / -2 = 3
Squaring both sides:-
(6 - y)(6 + y) = 9
36 - y^2 = 9
y^2 = 27
y = +/-√27

√(6x - 9) = +/- 27

6x - 9 = 729

x = 738/6  =  123

This cannot be a solution because   we would have a negative value for the 
second square root

I would say that no solution exist.


8 0
3 years ago
Ryan is taking a survey to find out how many people prefer soda A over soda B. He surveyed 100 people and forty-nine preferred s
marysya [2.9K]

Answer:

44%

Step-by-step explanation:

8 0
3 years ago
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