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vichka [17]
3 years ago
15

The ratio of the perimeters of two rectangles is 4 to 7. The perimeter of the larger rectangle is 42 inches. What is the perimet

er of the smaller rectangle?
Mathematics
1 answer:
Mumz [18]3 years ago
4 0
In this question, there are numerous information's of immense important already given. Based on those given information's the answer to the question can be easily deduced.
Ratio of the perimeter of two rectangles = 4:7
Perimeter of the larger rectangle = 42 inches
Let us assume the common ratio = x
Then
7x = 42
x = 42/7
   = 6
Then
Perimeter of the smaller rectangle = 4 * 6 inches
                                                         = 24 inches.
So the perimeter of the smaller rectangle is 24 inches. I hope the procedure and the answer is clear enough for you to understand. Based on this procedure, you can attempt similar problems without requiring any outside help.
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A road crew took 3 days to pave a road. On the first day they paved 2/5 of the road, and on the second day they 1/3 of the road.
bazaltina [42]

Answer:5625 yards

Step-by-step explanation:

2/5=6/15

1/3=5/15

6/15+5/15=11/15

(15/15)-(11/15)=4/15

1500/4=375

375×15=5625

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3 years ago
Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
WARRIOR [948]

Answer: The equation of the parabola is (x+5)^2=-24(y-1).

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

(x-h)^2=4p(y-k)

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

(h,k+p)=(-5,-5)

On comparing,

h=-5

k+p=-5      .... (1)

The directrix is y=7.

k+p=7       .... (2)

Add equation (1) and (2),

2k=2

k=1

Put this value in (1).

p=-6

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

(x+5)^2=4(-6)(y-1)

(x+5)^2=-24(y-1)

Therefore, the equation of parabola is (x+5)^2=-24(y-1).

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3 years ago
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77julia77 [94]

Answer:

x = 2

Step-by-step explanation:

Rewrite the equation as 4x - 6 = 2

Move all terms not containing x to the right side of the equation:

Add 6 to both sides of the equation.

4x = 2 + 6

Add 2 and 6.

4x = 8

Divide each term by 4 and simplify.

Divide each term in 4x = 8 by 4.

\frac{4x}{4} =\frac{8}{4}

Reduce the expression by cancelling the common factors.

x=\frac{8}{4}

Divide 8 by 4.

x = 2

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3 years ago
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Answer:

B. 33

Step-by-step explanation:

45/30 = x/22

3/2 = x/22

2x = 3 * 22

x = 3 * 11

x = 33

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2 years ago
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Step-by-step explanation:

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