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3 years ago

Solve by taking the square too of both sides. 3(c+3)^2-81=0

Mathematics

1 answer:

Norma-Jean [14]3 years ago

7 0

Answer:

x = -3 ±3sqrt(3)

Step-by-step explanation:

3(x+3)^2-81=0

Add 81 to each side

3(x+3)^2=81

Divide each side by 3

3/3(x+3)^2=81/3

(x+3)^2=27

Take the square root of each side

sqrt ((x+3)^2)=±sqrt(27)

x+3 =±sqrt(9*3)

x+3 =±sqrt(9)*sqrt(3)

x+3 =±3sqrt(3)

Subtract 3 from each side

x = -3 ±3sqrt(3)

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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

bagirrra123 [75]

Answer:

$27\pi \ cm^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=6\ cm$

substitute

$A=\pi (6)^{2}=36 \pi\ cm^{2}$

Remember that a central angle of $360\°$ subtends for the area of a complete circle

by proportion

Find the area of the circle for a central angle of $270\°$

$\frac{36 \pi}{360} \frac{\ cm^{2}}{degrees}=\frac{x}{270} \frac{\ cm^{2}}{degrees} \\ \\ x=270*36\pi /360\\ \\x=27\pi \ cm^{2}$

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3 years ago

Read 2 more answers

WILL GIVE ALL MY POINTS working alone, machine a takes 2 hours to build a car, working alone machine b takes 3 hours to build a

kati45 [8]

Answer:

It will take Machine A 20 additional minutes.

Step-by-step explanation:

First we have get the rate of work per hour, Machine A builds 1/2 of a car per hour, while Machine B builds 1/3 of a car per hour.

Using this we can determine the amount of work that has been done so far in one hour before Machine B broke down:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Now we can produce an equation accordingly to determine how much time it'll take machine a to finish the job:

5/6 + 1/2x = 1

1/2x = 1/6

x = 1/3 hours = 20 minutes

Note: In the question you typed "how much additional time will it take machine b to finish" but I think you meant machine a because machine b broke down. Please correct me if I'm wrong.

Hope this helps! And let me know if you have any questions!

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3 years ago

uanita’s lunch cost $13 plus a 15% tip. What was the total price of her lunch? A. $13.15 B. $14.50 C. $14.95 D. $19.50

masya89 [10]

Answer:

C. $14.95

Step-by-step explanation:

Do $13 times 15 divided by 100 and add that to $13.

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3 years ago

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Anvisha [2.4K]

Answer:

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Step-by-step explanation:

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4 years ago

From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan

denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

$\theta=32.5\°$ is the the angle of elevation

$d=35.6 km$ is the horizontal distance between the plane and the radar station

$x$ is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is <u>cosine</u>:

$cos\theta=\frac{d}{x}$ because $d$ is the adjacent side of the right triangle

$cos(32.5\°)=\frac{35.6 km}{x}$

Finding $x$ :

$x=\frac{35.6 km}{cos(32.5\°)}$

$x=42.21 km$

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3 years ago