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3 years ago

Find the arc of the semicircle(diameter is 12)

Mathematics

1 answer:

Alchen [17]3 years ago

4 0

Answer:

$18.849$

Step-by-step explanation:

$\frac{180}{360} \times 2\pi \: \times 6 \\ \frac{1}{2} \times 2 \times \pi \times 6 \\ \pi \times 6 \\ = 18.849$

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What is the formula of gradient

Nostrana [21]

Answer:

m= rise/run = y2-y1/x2-x1

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3 years ago

Read 2 more answers

Apply the distributive property to factor out the greatest common factor.

podryga [215]

Answer:

12 + 20 = 4(3 + 5)

Step-by-step explanation:

The distributive property is ab + ac = a(b + c), where

a is the greatest common factor of the two terms ab and ac

Let us solve the question

∵ 12 = 1 × 12, 2 × 6, 3 × 4

∴ The factors of 12 are 1, 2, 3, 4, 6, 12

∵ 20 = 1 × 20, 2 × 10, 4 × 5

∴ The factors of 20 are 1, 2, 4, 5, 10, 20

→ Find their common factors

∵ The common factors of 12 and 20 are 1, 2, 4

∴ The greatest common factor of 12 and 20 is 4

∵ 12 ÷ 4 = 3

∵ 20 ÷ 4 = 5

∴ 12 + 20 = 4 × 3 + 4 × 5

→ Take 4 as a common factor

∴ 12 + 20 = 4(3 + 5)

3 0

3 years ago

Which equations represent functions?

Margaret [11]

Answer:

4x =16

Step-by-step explanation:

Hope this helps :)

3 0

3 years ago

He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width

chubhunter [2.5K]

Answer:

Perimeter = 28.8 inch

Step-by-step explanation:

Step 1: Change given centimeters into inches according to the scale

2.5 / .5 = 5 <--- length in inches

4.7 / .5 = 9.4 <--- width in inches

^^^This is the same thing as multiplying 2.5 cm and 4.7 cm by two. You could also reword the scale to be 1 cm = 2 inch if it makes more sense for you

Step 2: Find the perimeter using the formula: P = 2L + 2W

2 (5) + 2(9.4)

10 + 18.8

5 0

3 years ago

Which property was used to simplify the expression?<br><br> (3z)^2 = 3^2z^2 = 9z^2

svet-max [94.6K]

One of the product rules for exponents was used.
$(ab)^{c}=a^{c}b^{c}$

Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.
$(3z)^{2}\\=(3z)(3z)\\=3\cdot 3\cdot z\cdot z\\=3^{2}z^{2}\\=9z^{2}$

3 0

3 years ago