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goldenfox [79]
2 years ago
13

The length of a rectangular piece of land is 4ft more than two times its width. The perimeter is 32ft. find the dimensions

Mathematics
1 answer:
babunello [35]2 years ago
3 0
L = 2w + 4

p = 2w + 2L

32 = 2w + 2(2w + 4)

32= 2w + 4w + 8

24 = 6w

4 = w


Now,

p = 2w + 2L
32 = 2(4) + 2L
32= 8 + 2L
24 = 2L
12 = L

check
p= 2w + 2L
32 = 2(4) + 2(12)
32 = 8 +24
32 = 32
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The spinner is spun 300 times
Leona [35]

Answer:

A) 60

B) 0

C) 150

Step-by-step explanation:

A) P(green) = ⅕

⅕ × 300 = 60

B) since the purple never occured

P(purple) = 0

C) 1000 × (45/300)

150

3 0
2 years ago
Can i have help plzzzzz
leonid [27]

Answers:

Choice C)  1.5 + AB = 3.7

AB = 2.2  cm

====================================================

Explanation:

Segment AC can be cut into two smaller pieces AB and BC. The piece AB is of unknown length for now, while BC is 1.5 units long.

The expression AB+1.5 or 1.5+AB represents us adding those two smaller pieces together. Doing so will lead to the length of AC.

Therefore, 1.5 + AB = 3.7 is one valid equation to set up.

------------

To solve that equation, we subtract 1.5 from both sides to undo the addition operation done to AB.

1.5 + AB = 3.7

AB = 3.7 - 1.5

AB = 2.2

Notice how,

1.5 + AB = 1.5 + 2.2 = 3.7

to help confirm our answer.

5 0
2 years ago
A cellular phone company charges a $25 monthly fee and an additional $0.10 per minute. If m represents the number of minutes of
Alex Ar [27]

Answer:

c= 0.10m+ 25

Step-by-step explanation:

using the format y=mx+b

25 is your flat cost that they charge every month, and 0.10 is what they charge per minute.

m is the number of minutes so that is the unknown variable.

c is your total cost.

you take the flat cost per month (25 dollars) and add it to however many minutes multiplied by 0.10 (.10m)

5 0
3 years ago
What are the slope and the y-intercept of the linear function that is represented by the equation Y --10x+1?
Varvara68 [4.7K]

Answer:

The slope is -10, and the y-intercept is 1.

Step-by-step explanation:

Assuming that the equation is y = -10x+1, the easiest way to identify slope and the y-intercept is by knowing the equation for slope-intercept (y = mx+b)

Equation for slope-intercept (y = mx+b) explained:

The equation is y = mx+b, let's break it down.

y = The line

m = The slope

b = The y-intercept

Now that we know the equation and broke it down you can identify them in your equation

Slope (m)= -10

y-intercept = 1

Conclusion: The slope is -10, and the y-intercept is 1.

7 0
2 years ago
GCSE 995381
nikdorinn [45]

Answer:

2.9 cm^2

Step-by-step explanation:

Given,

Angle of sector = 30°

Radius of circle, r = 8 cm

Area of the shaded region, A =?

The diagram is attached below.

Now,

Area of shaded region = Area of sector - Area of triangle

Area of triangle = \frac{1}{2}\times base \times height

We know that,

\sin \theta = \dfrac{P}{H}

\sin 30^\circ= \dfrac{P}{8}

P = \dfrac{8}{2}

P = 4\ cm

And

\cos \theta =\dfrac{B}{H}

\cos 30^\circ = \dfrac{B}{8}

B = \dfrac{8\times \sqrt{3}}{2}

B = 4\sqrt 3

Area of sector = \dfrac{\theta}{360^\circ}\times \pi r^2

Area of sector =  \dfrac{30^\circ}{360^\circ}\times \pi \times 8^2

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Area of triangle = \dfrac{1}{2} \times 4\sqrt 3 \times 4

                          = 13.85 cm^2

Area of shaded region = 16.75 - 13.85

                                      = 2.9 cm^2

7 0
2 years ago
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