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BartSMP [9]
2 years ago
15

Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also

measures π radians. C. An angle that measures 60° also measures π/3 radians. D. An angle that measures π/3 radians also measures 30°.​
Mathematics
1 answer:
FinnZ [79.3K]2 years ago
5 0

Answer:

  TRUE: A, B, C

  False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

  45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

  180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

  60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

  30° × π/180° radians = π/6 radians

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A frog eats 8 flies in 4 minutes. How many flies per minute does the frog eat
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2 per minute

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3 0
3 years ago
7. Sapna travelled 48 km to meet her parents. She travelled the first 18 km by car and the remaining distance by train. Find the
Anton [14]

The fraction of the journey Sapna traveled by car and train is 3/8 and 5/8 respectively.

We know that fraction is an expression in mathematics used to denote the division of two whole numbers.

Given that the total distance = 48 km.

The distance Sapna traveled by car = 18 km.

So, the fraction is = distance traveled by car/total distance = 18/48 = 3/8

The distance Sapna traveled by train = 48 - 18 km = 30 km.

So, the fraction is = distance traveled by train/total distance = 30/48 = 5/8

Therefore the fraction of the journey Sapna traveled by car and train is 3/8 and 5/8 respectively.

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2 years ago
A line with slope -2/3 passes through the point (-12,16) What is the X-intercept
Troyanec [42]

to find the x-intercept of a function, we simply set y = 0 and then solve for "x", so, let's first find the equation of it and then set y = 0.


\bf (\stackrel{x_1}{-12}~,~\stackrel{y_1}{16})~\hspace{10em} slope = m\implies-\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-16=-\cfrac{2}{3}[x-(-12)] \\\\\\ y-16=-\cfrac{2}{3}(x+12)\implies \stackrel{\stackrel{y}{\downarrow }}{0}-16=-\cfrac{2}{3}x-8\implies -8=-\cfrac{2x}{3} \\\\\\ -24=-2x\implies \cfrac{-24}{-2}=x\implies 12=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12,0) ~\hfill

4 0
4 years ago
Which of the following is 10 times what the 5 represents in 8,145
Alexxx [7]

Answer:

A

Step-by-step explanation:

5 in 8145 is in the ones place. Hence 10 times of that

= 10 × 5

= 50

Hence answer is <u>A</u><u>.</u>

7 0
3 years ago
Read 2 more answers
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