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3 years ago

2(x + 3)+ 8 + 5(x - 2) + 4x + 3 This problem simplified would be:

1 answer:

8 0

<span>simplified would be
</span><span>
2(x + 3)+ 8 + 5(x - 2) + 4x + 3
= 2x + 6 + 8 +5x -10 + 4x +3
= (</span>2x + 5x +4x ) + (6 + 8 -10 + 3)
=11x + 7

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Find the area of the region between two concentric circular paths. If the radii of the circular paths are 210 m. and 490 m. resp

taurus [48]

Given :

The radii of the circular paths are 210 m. and 490 m.

To Find :

The area of the region between two concentric circular paths.

Solution :

Area of the outer circle :

$\: \qquad \dashrightarrow \sf{{ \pi \: \times {(490)}^{2} {m}^{2}}}$

$\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{7} \times \:490 \times 490 \: {m}^{2}}}$

$\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{ \cancel{7}} \times \cancel{490} \times 490 \: {m}^{2}}}$

$\: \qquad \dashrightarrow \sf{{ \ {22} \times 70 \times 490 \: {m}^{2}}}$

$\: \qquad \dashrightarrow \bf{{ \ 754600 \: {m}^{2}}}$

⠀

Area of the inner circle :

$\: \qquad \dashrightarrow \sf{{ \pi \: \times {(210)}^{2} {m}^{2}}}$

$\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{7} \times \:210 \times 210 \: {m}^{2}}}$

$\: \qquad \dashrightarrow \sf{{ \ \dfrac{22}{ \cancel{7}} \times \cancel{210} \times 210 \: {m}^{2}}}$

$\: \qquad \dashrightarrow \sf{{ \ {22} \times 30 \times 210 \: {m}^{2}}}$

$\: \qquad \dashrightarrow \bf{{ \ 138600 \: {m}^{2}}}$

⠀

Therefore,

Area of the region inside the circular paths :

$\: \qquad \dashrightarrow \sf{{ \ (754600 - 138600 ) \: {m}^{2}}}$

$\: \qquad \dashrightarrow \bf{{ \ 616000 \: {m}^{2}}}$

6 0

2 years ago

Write 29/10 in decimal form

kati45 [8]

Answer:

2.9

Step-by-step explanation:

29 is divided by 10 answer is 2.9

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3 years ago

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Regan earned a total of 15 by selling 5 cups of lemonade how many cups of lemonade does Reagan need to sell and altar on $42 ass

Gemiola [76]

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3 years ago

The formula for computing compound interest for a principal P that is invested at an annual rate r and compounded annually is gi

maria [59]

9514 1404 393

Answer:

r ≈ 6%

Step-by-step explanation:

Solving for r when n=2, we have ...

$A=P(1+r)^2\\\\\dfrac{A}{P}=(1+r)^2\\\\\sqrt{\dfrac{A}{P}}=1+r\\\\\boxed{r=\sqrt{\dfrac{A}{P}}-1}$

For the given values of A and P, the value of r is ...

$r=\sqrt{\dfrac{5600}{5000}}-1=\sqrt{1.12}-1\approx 1.0583-1\\\\\boxed{r\approx 6\%}$

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3 years ago

Which graph represents exponential decay?

xz_007 [3.2K]

Answer:

(d) -- see attached

Step-by-step explanation:

A graph that shows exponential decay is one that tends toward a horizontal asymptote as x gets large.

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2 years ago