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Aleonysh [2.5K]
3 years ago
5

Find the area of each circle. Use 3.14 forp 12 cm,

Mathematics
2 answers:
Rudik [331]3 years ago
8 0

Answer:

113.04 cm²

Step-by-step explanation:

il63 [147K]3 years ago
5 0

The area of the circle is 113.04 cm²

<u>Step-by-step explanation:</u>

The given information are,

  • The diameter of the circle = 12 cm
  • The diameter must be converted into radius.

Radius = diameter / 2

Radius = 12/2 = 6 cm

Now, the formula for area of the circle is given by πr²

where,

  • r is the radius of the circle.
  • π has the default value 3.14

<u>To calculate the area of circle :</u>

Substitute r=6 and π=3.14,

Area of the circle = (3.14) × (6²)

⇒ 3.14 × 36

⇒ 113.04 cm²

The area of the circle is 113.04 cm²

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hich of the following expressions is equivalent to |x + 4| &lt; 5? A. –5 &gt; x + 4 &lt; 5 B. –5 &lt; x + 4 &lt; 5 C. x + 4 &lt;
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Answer:

option B

Given : |x + 4| < 5

A. –5 > x + 4 < 5

B. –5 < x + 4 < 5

C. x + 4 < 5 and x + 4 < –5

D. x + 4 < 5 or x + 4 < –5

In general , |x|< n where n is positive

Then we translate to -n < x < n

|x + 4| < 5

5 is positive, so we translate the given absolute inequality to

-5 < x+4 < 5

So option B is correct

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3 years ago
Write the coordinates of the vertices after a reflection across the x-axis.
Stells [14]

Answer:

S' (-6, 6)

T' (2, 6)

U' (2, 0)

V' (-6, 0)

Step-by-step explanation:

To reflect the rectangle over the x-axis, think of it as flipping it over the x-axis. On the graph, count the units from V to S, it's 6 units. So, from the x-axis, count 6 units up from V. S would lie on -6, 6. Do the same for W to T. T would lie on (2, 6). The remaining coordinates U and V don't change because it is <em>already </em>on the x-axis. <em> </em>

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3 years ago
What is the mean, median, mode, and range from this data?
34kurt

Answer:

mean = 4

medin = violet

mode = light blue

range = 4

Step-by-step explanation:

mean = sum/no

mode = largest number

median = (n+1)/2th item

rnge = largest - smllest

6 0
3 years ago
Jose received $250 for his birthday from his family. He wishes to buy a motorcycle and decides to use his birthday money towards
BartSMP [9]

Answer:

He will have $276.10 available towards the down payment for his motorcycle

Step-by-step explanation:

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

P = 250, t = 2, r = 0.05

Compounded quarterly, so n = 12/4 = 3.

We have to find A.

A = P(1 + \frac{r}{n})^{nt}

A = 250(1 + \frac{0.05}{3})^{3*2}

A = 276.1

He will have $276.10 available towards the down payment for his motorcycle

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