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Inessa05 [86]
2 years ago
15

You are planning on retiling your bathroom floor and buy 96 square feet of tile. If the length of the bathroom is

Mathematics
1 answer:
Rudik [331]2 years ago
4 0

Answer:

8 feet

Step-by-step explanation:

Given that 96 sq. feet of tile is bought to retile the bathroom.

It means area of bathroom is 93/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=>  x^2 = 192/3 = 64\\=>\sqrt{x^2}  = \sqrt{64} \\=> x = 86 sq. feet

Width of bathroom be x

Given that the length of the bathroom is  one and a half times the width

Length of bathroom in term sod width = 1 1/2* x = 3/2 x

we know area of rectangle is given by length * width

therefore area of bathroom =( x* 3/2 x) = 3/2 x^2

Also area of  bathroom is 86 sq. feet, therefore

3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=>  x^2 = 192/3 = 64\\=>\sqrt{x^2}  = \sqrt{64} \\=> x = 8

Thus, width of bathroom is 8 feet.

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Write the word sentence as an equation. Then solve the equation.
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Answer:

x/-9 = -16 ; 144

Step-by-step explanation:

x is the variable for "a number". It is being divided by -9, so x must be divided by -9. The number divided by -9 equals -16, so -16 must go on the other side of the equation. To solve, multiply both sides by -9 to cancel out the fraction and isolate the variable.

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What is the common factors of 36 and 54
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Merrida uses a pattern in the multiplication table below to find ratios that are equivalent to 7:9. If Merrida multiplies the fi
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Multiply 9 by 6

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We multiply the first term by 6.

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That way we keep the ratio in the same proportion

42:54

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3 0
3 years ago
After obtaining a warrant, the police attached GPS tracking device to the car of a murder suspect. Suppose the car was located a
AURORKA [14]

Answer:

Part a) The coordinates of the suspect's car at its final destination are (4,4)

Part b) The distance traveled by the suspect was 10 miles

Part c) d=5.66\ mi

Step-by-step explanation:

The correct question in the attached figure

Part a) What are the coordinates of the suspect's car at its final destination?

we know that

The original position is the origin of a Cartesian coordinate system (0,0)

1) The suspect's car was tracked going 5 mi due east

That means----> 5 mi at right

the new coordinates are (5,0)

2) The suspect's car was tracked going 4 mi due north

That means----> 4 mi up

the new coordinates are (5,4)

3) The suspect's car was tracked going 1 mi due west

That means----> 1 mi at left

the new coordinates are (4,4)

therefore

The coordinates of the suspect's car at its final destination are (4,4)

Part b) What was the distance traveled by the suspect?

The distance traveled is  

5 mi due east + 4 mi due north + 1 mi due west

5+4+1=10\ mi

therefore

The distance traveled by the suspect was 10 miles

Part c)  What is the distance as the crow flies between the original position and the final position of the suspect's car?

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Remember that

The original position was (0,0) and the final position was (4,4)

substitute in the formula

d=\sqrt{(4-0)^{2}+(4-0)^{2}}

d=\sqrt{(4)^{2}+(4)^{2}}

d=\sqrt{32}\ mi

d=5.66\ mi

5 0
3 years ago
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