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3 years ago

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I NEED HELP ASAP! Alex wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 5 3/4

FT by 3 1/2 FT. WHATS THE AREA OF THE CARPET IT NEEDS TO COVER?

1 answer:

docker41 [41]3 years ago

7 0

Answer:

53.375 or 427/8 or 53 3/8

Step-by-step explanation:

To solve this you must find the area of both the carpet and the tiled floor. You use the equation area = length x width

Carpet: 10.5 x 7 = 73.5

Tile: 5.75 x 3.5 = 20.125

The you subtract the area of the tiled floor from the carpet

73.5 - 20.125 = 53.375

(I prefer to work in decimals but most of the time they want fraction answers so 53.375 = 427/8 = 53 3/8

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The minute hand of a clock is 4 inches long. How far does the tip of the minute hand move in 35 minutes? If necessary, round the

blsea [12.9K]

Answer:

14.66 inches

Step-by-step explanation:

Calculation for How far does the tip of the minute hand move in 35 minutes

The tip of a minute hand will always travels at 360 degrees in an hour ( 60 minutes)

Hence, the tip of the minute hand

distance will be calculated using this formula

Circumference of a circle=2*π*Radius* Clock Tip hand movement/Number of minutes per hour

Let plug in the formula

Circumference of a circle==2*π*4 inches*35 minutes/60 minutes

Circumference of a circle= =2*π*4 inches*0.58333

Circumference of a circle==14.659 inches

Circumference of a circle==14.66 inches (Approximately)

Therefore How far does the tip of the minute hand move in 35 minutes will be 14.58 inches

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3 years ago

Q 2 PLEASE HELP ME FIGURE THIS OUT

suter [353]

Answer: IV, positive, $\frac{\pi} {6}$ , - sec $\frac{\pi} {6}$ , $\frac{2\sqrt{3}}{3}$

<u>Step-by-step explanation:</u>

a) Look at the Unit Circle to see that $\frac{11\pi} {6}$ = 330°, which is located in Quadrant IV.

b) The coordinate (cos θ, sin θ) for $\frac{11\pi} {6}$ is: $(\frac{\sqrt{3}} {2},\frac{-1}{2})$

sec = $\frac{1}{cos}$ = $\frac{2}{\sqrt{3}}$ which is positive

c) Since the given angle is in Quadrant IV, which is closest to the x-axis at 360° = 2π, the reference angle can be found by subtracting the given angle $\frac{11\pi} {6}$ from 2π: $\frac{12\pi} {6}$ - $\frac{11\pi} {6}$ = $\frac{\pi} {6}$

d) the reference angle is below the x-axis so the given angle is equal to the negative of the reference angle: - sec $\frac{\pi} {6}$ .

e) sec $\frac{11\pi} {6}$ = $\frac{2}{\sqrt{3}}$ = $\frac{2}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}}$ = $\frac{2\sqrt{3}}{3}$

***************************************************************************************

Answer: $\frac{18\pi}{11}$ , IV, $\frac{4\pi} {11}$

<u>Step-by-step explanation:</u>

2π is one rotation. 2π = $\frac{22\pi}{11}$

$\frac{-26\pi}{11}$ + $\frac{22\pi}{11}$ = $\frac{-4\pi}{11}$

$\frac{-4\pi}{11}$ + $\frac{22\pi}{11}$ = $\frac{18\pi}{11}$

Convert the radians into degrees to see which Quadrant it is in by setting up the proportion and cross multiplying:

$\frac{\pi}{180}$ = $\frac{18\pi}{11x}$

π(11x) = (180)18π

x = $\frac{180(18\pi}{11\pi}$

x = 295° <em>which lies in Quadrant IV</em>

Since the given angle is in Quadrant IV, which is closest to the x-axis at 360° = 2π, the reference angle can be found by subtracting the angle of least nonegative value $\frac{18\pi} {11}$ from 2π: $\frac{22\pi} {11}$ - $\frac{18\pi} {11}$ = $\frac{4\pi} {11}$

***************************************************************************************

Answer: $\frac{5\pi}{3}$ , IV, $\frac{4\pi} {11}$ , $\frac{\pi} {3}$

<u>Step-by-step explanation:</u>

2π is one rotation. 2π = $\frac{6\pi}{3}$

$\frac{-13\pi}{3}$ + $\frac{6\pi}{3}$ = $\frac{-7\pi}{3}$

$\frac{-7\pi}{3}$ + $\frac{6\pi}{3}$ = $\frac{-\pi}{3}$

$\frac{-\pi}{3}$ + $\frac{6\pi}{3}$ = $\frac{5\pi}{3}$

This is on the Unit Circle at 300°, which is located in Quadrant IV

Since the given angle is in Quadrant IV, which is closest to the x-axis at 360° = 2π, the reference angle can be found by subtracting the angle of least nonegative value $\frac{5\pi} {3}$ from 2π: $\frac{6\pi} {3}$ - $\frac{5\pi} {3}$ = $\frac{\pi} {3}$

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4 years ago

Musa age is twothird of abus age if the sum lf their ages equals to 30 what is abu age

Amanda [17]

Answer:

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3 years ago

Y=x^2-4x-1 in vertex form

belka [17]

The answer is Y= (x-2)^2-5

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2 years ago

Solve 11+5+3x2+8x1 =

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$Solutions$

$=11+5+3x^2+8x^1

=11+5+3x^2+8x$
<span><span><span>
</span></span></span>Combine Like Terms:

$=11+5+3x^2+8x

=(3x^2)+(8x)+(11+5)

=3x^2+8x+16$
<span><span>
</span></span>Simplify $=3x^2+8x+16$

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3 years ago

Read 2 more answers