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2 years ago

Use the picture to answer. Which real number is not both a whole number and an integer? A. 423 B. 259 C. –156 D. 0

Mathematics

1 answer:

Vanyuwa [196]2 years ago

7 0

C. is the answer because -159 is a rational number

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3 years ago

Jeremy can row 2/3 of a mile in 1/4 of an hour. What is the unit rate that describes the miles per hour?

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3 years ago

Which of the following expressions has 3 terms? 8x + y - z xyz y3 + 1

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3 years ago

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Find (a) arc length and (b) Area of a sector.

barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

Formula

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

Calculation

Given:

$\theta=\dfrac{5 \pi}{8}$
r = 15 cm

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}$

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1 year ago

What is the ratio of 7200 to 6400?

stira [4]

The ratio of 7200 to 6400 equals 1.125 in decimal form. I hope this helps!:)

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3 years ago

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