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chubhunter [2.5K]

3 years ago

6

What is the approximate area of the circle shown below

1 answer:

meriva3 years ago

5 0

Answer:

D. 154

Step-by-step explanation:

Formula

pi×r^2

r=diameter / 2

14/2=r=7

pi×7^2=154

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On a map of Cyan City, 1 inch represents a distance of 4 miles. What length on the map represents a

inysia [295]

Answer:

1/4 inches

Step-by-step explanation:

4 miles = 1 inch

4/4 miles = 1/4 inch

1 mile = 1/4 inch

4 0

3 years ago

What is the ratio 15/45 expressed in simplest form?

DiKsa [7]

<span>To find the simplest form of a fraction, you have to find the greatest common factor (GCF). To do so, list out the factors of the numerator (15) and the denominator (45) and find the biggest common number between the two numbers.
</span>
Factors of 15: 1, 3, 5, 15
Factors of 45: 1, 3, 5, 9, 15, 45

Out of those factors, we can see that 1, 3, 5, and 15 are the common factors, but 15 is the greatest which makes it our GCF.

Now we can divide the numerator and the denominator by the GCF to receive our simplest form.

15 ÷ 15 = 1
45 ÷ 15 = 3

Rewrite the fraction with the new numerator (1) and the new denominator (3).

The simplest form of 15/45 is: 1/3 or 0.3333.

3 0

3 years ago

\sqrt{27} - \sqrt{ 12} + \sqrt{48 }

cestrela7 [59]

Answer:

$5\sqrt{3}$

Step-by-step explanation:

I'm assuming you're asking for most simplified form?

Original Equation:

$\sqrt{27} - \sqrt{12} + \sqrt{48}$

Rewrite sqrt(27) using the exponent property: $\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}$

$\sqrt{9} * \sqrt{3} -\sqrt{12} + \sqrt{48}$

Simplify sqrt(9)

$3\sqrt{3} -\sqrt{12} + \sqrt{48}$

Rewrite the radical sqrt(12)

$3\sqrt{3} -\sqrt{4}\sqrt{3} + \sqrt{48}$

Simplify sqrt(2)

$3 \sqrt{3} -2\sqrt{3} + \sqrt{48}$

Rewrite the radical sqrt(48)

$3\sqrt{3} -2\sqrt{3} + \sqrt{16}\sqrt{3}$

Simplify the sqrt(16)

$3\sqrt{3} -2\sqrt{3} + 4\sqrt{3}$

You can think of sqrt(3) as x, in which case you have 3x - 2x + 4x, so you just add the coefficients and leave the sqrt(3) alone.

Subtract 2 from 3

$1\sqrt{3} + 4\sqrt{3}$

Add 1 and 4

$5\sqrt{3}$

6 0

2 years ago

can someone help me to solve this queestion on Conditional Probability. In Evs and Life Science class, 25% of the students are b

Aleks04 [339]

Step-by-step explanation:

If a boy student was picked, the probability that they passed is 0.25 * 0.4 = 0.1.

If a girl student was picked, the probability that they passed is 0.75 * 0.25 = 0.1875.

Total probability = (0.1 + 0.1875) * 100% = 28.75%.

7 0

3 years ago

A square tabletop has an area of

tiny-mole [99]

s = 3x - 15 is the required expression for perimeter of table top

Perimeter of square tabletop is 240 cm

<em><u>Solution:</u></em>

A square tabletop has an area given as:

$(9x^2 - 90x+225) cm^2$

The dimensions of the tabletop have the form cx - di ,where cand d are whole numbers

To find perimeter of tabletop when x = 25 centimeters

Let us first find the length of each side of square

<em><u>Given area is:</u></em>

$area = (9x^2 - 90x+225)$

We know that,

$area = (side)^2 = s^2$

Therefore,

$s^2 = (9x^2 - 90x+225)\\\\s^2 = (3x - 15)(3x - 15)\\\\s^2 = (3x - 15)^2$

Taking square root on both sides,

s = 3x - 15

The above expression is the required expression for perimeter of table top

<em><u>To find perimeter when x = 25 centimeter</u></em>

<em><u>The perimeter of square is given as:</u></em>

$perimeter = 4s$

perimeter = 4(3x - 15)

Substitute x = 25

perimeter = 4(3(25) - 15)

perimeter = 4(60) = 240

Therefore perimeter of square tabletop is 240 cm

4 0

3 years ago