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sergiy2304 [10]
3 years ago
6

The length of a rectangle is three times longer than its width. The perimeter of the rectangle is 16 feet. If x represents the w

idth of the rectangle, which equation can be used to find its value?
Mathematics
1 answer:
scoray [572]3 years ago
7 0
<span>Given that x represents the width of the rectangle and that the length of the rectangle is three times longer than the width. Then the length is 3x. The perimeter of a rectangle is given by 2(length + width) = 2(3x + x) = 2(4x) = 8x. The perimeter of the rectangle is 16 feet. Therefore, the required equation is 8x = 16. </span>
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F
Burka [1]

Answer:

12

Step-by-step explanation:

F \alpha \frac{1}{d^{2} }

F = \frac{K}{d^{2} }

When F = 18; d = 2

18 = \frac{K}{2^{2} }

18 = \frac{K}{4}

Cross multiply;

18 x 4 = K

72 = K

There the equation connecting F and d^{2} is

F = \frac{72}{d}

Now, Find F when d = 6

All you do is to substitute d = 6 in to F = \frac{72}{d}

F = \frac{72}{6}

Therefore;

F = 12

Please mark me brainiest if correct.

6 0
3 years ago
Give the answer of 1,626 divided by 12 as a mixed number
kvv77 [185]
135 and 1/2 should be correct.
3 0
3 years ago
Read 2 more answers
1. How long is segment ML ?
kkurt [141]

Answer:

19

Step-by-step explanation:

KM=4

KN=9

9-4=5

MN=5

NL=14

5+14=19

5 0
2 years ago
Read 2 more answers
How many triangles does a=6 b=10 A=33° create?
GaryK [48]

Answer:

2 triangles are possible.

Step-by-step explanation:

Given

a=6

b=10

\angleA=33°

To find:

Number of triangles possible ?

Solution:

First of all, let us use the <em>sine rule</em>:

As per Sine Rule:

\dfrac{a}{sinA}=\dfrac{b}{sinB}

And let us find the angle B.

\dfrac{6}{sin33}=\dfrac{10}{sinB}\\sinB = \dfrac{10}{6}\times sin33\\B =sin^{-1}(1.67 \times 0.545)\\B =sin^{-1}(0.9095) =65.44^\circ

This value is in the 1st quadrant i.e. acute angle.

One more value for B is possible in the 2nd quadrant i.e. obtuse angle which is: 180 - 65.44 = 114.56^\circ

For the value of \angle B = 65.44^\circ, let us find \angle C:

\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+65.44+\angle C = 180\\\Rightarrow \angle C = 180-98.44 = 81.56^\circ

Let us find side c using sine rule again:

\dfrac{6}{sin33}=\dfrac{c}{sin81.56^\circ}\\\Rightarrow c  = 11.02 \times sin81.56^\circ = 10.89

So, one possible triangle is:

a = 6, b = 10, c = 10.89

\angleA=33°, \angleA=65.44°, \angleC=81.56°

For the value of \angle B =114.56^\circ, let us find \angle C:

\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+114.56+\angle C = 180\\\Rightarrow \angle C = 180-147.56 = 32.44^\circ

Let us find side c using sine rule again:

\dfrac{6}{sin33}=\dfrac{c}{sin32.44^\circ}\\\Rightarrow c  = 11.02 \times sin32.44^\circ = 5.91

So, second possible triangle is:

a = 6, b = 10, c = 5.91

\angleA=33°, \angleA=114.56°, \angleC=32.44°

So, answer is : 2 triangles are possible.

8 0
3 years ago
Which expression is equivalent to 21x+9-3x
lorasvet [3.4K]
18x+9 is the correct answer
3 0
3 years ago
Read 2 more answers
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