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2 years ago

MAY SOMEONE HELP PLZ!

Mathematics

2 answers:

JulijaS [17]2 years ago

6 0

Answer:

First pic

$ratio = \frac{62.8}{2 0} \\ = 3.14$

Second pic

$< c + 2x + (3x + 10) = 180 \\ < c = 180 - 3x - 10 - 2x \\ < c = 170 - 5x$

Kruka [31]2 years ago

3 0

Answer:

Step-by-step explanation:

<u>Circumference equation:</u>

C = πd

<u>Circumference to diameter ratio is:</u>

C/d = π = 3.14
Same result comes from the table

Correct choice is B

<u>Sum of angles of a triangle is 180°</u>

m∠A + m∠B + m∠C = 180°

<u>A and C are equal angles as opposite sides are congruent.</u>

2(3x + 10) + 2x = 180
6x + 20 + 2x = 180
8x = 160
x = 20

m∠C = 3*20 + 10 = 70°

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Circle A has a diameter of approximately 20 inches and an area of approximately 300 in2.

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4. About 2,700 in2

Step-by-step explanation:

The area of a circle ( $A$ ), measured in square inches, is directly proportional to the square of its diameter ( $d$ ), measured in inches. That is:

$A \propto d^{2}$

$A = k\cdot d^{2}$

Where $k$ is the constant of proportionality, dimensionless.

In consequence, the following relationship between circles A and B is obtained:

$\frac{A_{B}}{A_{A}} = \frac{d_{B}^{2}}{d_{A}^{2}}$

The area of the circle B is now cleared:

$A_{B} =\left(\frac{d_{B}}{d_{A}} \right)^{2}\cdot A_{A}$

Given that $d_{A} = 20\,in$ , $d_{B} = 60\,in$ and $A_{A} = 300\,in^{2}$ , then:

$A_{B} = \left(\frac{60\,in}{20\,in} \right)^{2}\cdot (300\,in^{2})$

$A_{B} = 2700\,in^{2}$

Therefore, the correct answer is 4.

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2 years ago

Read 2 more answers

Rewrite <img src="https://tex.z-dn.net/?f=%5Cfrac%7B200x%20-%20300%7D%7Bx%7D" id="TexFormula1" title="\frac{200x - 300}{x}" alt=

lord [1]

Answer:

We can rewrite this as $\frac{200x}{x} + \frac{-300}{x}$ .

$\frac{200x}{x}$ simplifies to 200 after eliminating x from the numerator and denominator and $\frac{-300}{x}$ becomes $-\frac{300}{x}$ so the final answer is $200 - \frac{300}{x}$ .

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