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3 years ago

Solve the inequality. 2(4 + 2x) ≥ 5x + 5? x ≤ ?

2 answers:

5 0

2(4+2x)≥5x+5
4+2x≥5/2x+5/2 (divide both sides by 2)
3/2+2x≥5/2x (subtract 5/2 from both sides)
3/2≥1/2x (subtract 2x from both sides)
3≥x (multiply both sides by 2)
or x≤3

Hope this helps

vichka [17]3 years ago

4 0

Solving for x ( 2(4+2x) ≥ 5x +5 )
Answer would be
x ≤ 3

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Answer:

I think its 4.

Step-by-step explanation:

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3 years ago

A 150 cm pendulum swings through an arc which measured 100pi cm. In exact radians, through what angle does it swing?

choli [55]

Answer:

Pendulum will swing by an angle 0.666π

Step-by-step explanation:

We have given arc = $100\pi cm$

And length of the pendulum l = 150 cm

Length of the pendulum will be equal to radius of the pendulum so r = 150 cm

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So $100\pi =150\times\times \Theta$

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3 years ago

F(1)=3f(1)=3 and f(n)=2f(n-1)+3 f(n)=2f(n−1)+3 then find the value of f(3)

gayaneshka [121]

Answer:

f(3)=21

Step-by-step explanation:

f(1)=3

f(n)=2f(n-1)+3

n=2

f(2)=2f(2-1)+3

f(2)=2f(1)+3

f(2)=2*3+3

f(2)=6+3

f(2)=9

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f(3)=2f(2)+3

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7 0

3 years ago

skelet666 [1.2K]

Answer:

option D. 126 cm

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles PQR and XYZ are similar by AA Similarity Theorem

$\frac{XY}{PQ}=\frac{YZ}{QR}=\frac{XZ}{PR}$

Let

z ---> the scale factor

$z=\frac{XY}{PQ}$

substitute the given values

$z=\frac{30}{5}=6$

step 2

Find the perimeter of triangle XYZ

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

p_1 ----> the perimeter of triangle XYZ

p_2 ---> the perimeter of triangle PQR

$z=\frac{p_1}{p_2}$

The perimeter of triangle PQR is

$p_2=5+10+6=21\ cm$

we have

$z=6\\p_2=21\ cm$

substitute

$6=\frac{p_1}{21}$

$p_1=6(21)=126\ cm$

therefore

The perimeter of triangle XYZ is 126 cm

5 0

4 years ago