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3 years ago

The figure consists of two quarter circles and a square.

Mathematics

2 answers:

Serggg [28]3 years ago

4 0

The answer is b thank you

amm18123 years ago

4 0

Answer: Second Option is correct.

Step-by-step explanation:

Since we have given that

Quadrant with radius 16 inches and angle 90° .

$\text{Length of an arc of quadrant}=\frac{\theta}{360\textdegree}2\times \pi \times r\\\\\text{Length of an arc of quadrant}=\frac{1}{4}\times 2\times 3.14\times 16\\\\\text{Length of an arc of quadrant}=25.12$

Since there are two quadrants:

So, Perimeter of quadrants is given by

$25.12\times 2\\\\50.24\ in.$

Perimeter of this figure is given by

$50.24+16+16+16+16\\\\=114.24\ in$

Hence, Second Option is correct.

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Answer:

The train going 30 miles in 1/3 hour is going faster than the other train.

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2 years ago

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Given y = a(x - h)^2 + k, p = A. a B. 4a C. 1/4a

Flauer [41]

9514 1404 393

Answer:

C. 1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

y = a(x -h)^2 +k

to the form used to write the equation in terms of the focal distance p.

y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

a = 1/(4p)

p = 1/(4a) . . . . . . multiply by p/a; matches choice C

Additional comment

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

$p=\dfrac{1}{4a}$