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3 years ago

The distance around a meter is 9619 ft. find the diameter of the crater .use 22/7 for pie

1 answer:

7 0

The circumference of a circle is found with the equation

C = 2 pi * r

Since we have the circumference we can find the radius. Then once we have the radius we can determine the diameter.

9619 = 2 (22/7) r
multiply each side by 7

67333 = 2*22*r
67333 = 44r

divide each side by 44
r = 67333/44 = 1530.295 rounded to the nearest hundredth = 1530.30

The diameter is 2 x the radius, so

1530.30 x 2 = 3060.6 ft

The diameter of the crater is 3060.6 ft

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4(x-6)<-2x+6 what is the solution to the inequality _

Cloud [144]

Simplify both sides if needed. The left-hand side needs simplification.

4(x - 6) $\leq$ -2x + 6
4x - 24 $\leq$ -2x + 6

All is left to do is add and subtract to get the x variable all alone.

4x - 24 $\leq$ -2x + 6
6x - 24 $\leq$ 6 <-- Add 2x to both sides
6x $\leq$ 30 <-- Add 24 to both sides
x $\leq$ 5 <-- Divide both sides by 6

In order to be in the solution set, x has to be less than or equal to 5.

In interval notation: [5, -∞)

7 0

3 years ago

F(x) = 4x^2 - 3x + 2kx + 1

dybincka [34]

$f(x)=4x^2-3x+2kx+1=4x^2+(2k-3)x+1\\\\a=4;\ b=2k-3;\ c=1\\\\function\ has\ two\ zeros\ when\ \Delta=b^2-4ac > 0\\\\\Delta=(2k-3)^2-4\cdot4\cdot1=4k^2-12k+9-16=4k^2-12k-7 > 0\\\\a_k=4;\ b_k=-12;\ c_k=-7\\\\\Delta_k=(-12)^2-4\cdot4\cdot(-7)=144+112=256\\\\k_1=\frac{-b_k-\sqrt{\Delta_k}}{2a_k};\ k_2=\frac{-b_k+\sqrt{\Delta_k}}{2a_k}$

$\sqrt{\Delta_k}=\sqrt{256}=16\\\\k_1=\frac{12-16}{2\cdot4}=\frac{-4}{8}=-\frac{1}{2};\ k_2=\frac{12+16}{2\cdot4}=\frac{28}{8}=\frac{7}{2}\\\\a_k=4 > 0\ (up\ parabola\ arms-see\ the\ picture)\\\\Answer:k\in(-\infty;-\frac{1}{2})\ \cup\ (\frac{7}{2};\ \infty)$

6 0

3 years ago

Point C is located in which quadrant? a.) I b.) II c.) III d.) IV

Aleonysh [2.5K]

B, it is located on the 2nd quadrant

6 0

3 years ago

Read 2 more answers

In a 30% off sale, the price of an item is reduced by £27.

Serggg [28]

Answer: the original cost of the item is 90$

Step-by-step explanation:

30% off of the item = 27$

27 dollar is 30% of the item

thus 27 = 0.30X

0.30X = 27

time both side by 10

3X = 270

270/3 = 90

3 0

2 years ago

The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fracti

Sonja [21]

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were: 2 + 1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6.

4 0

3 years ago