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3 years ago

Convert the radian measure to degrees. (Round to the nearest hundredth when necessary): 7π/3

Mathematics

2 answers:

pochemuha3 years ago

7 0

Answer:

420°

Step-by-step explanation:

To convert from radian to degree measure

degree measure = radian measure × $\frac{180}{\pi }$

Hence

degree = $\frac{7\pi }{3}$ × $\frac{180}{\pi }$

Cancel π on numerator/ denominator

= $\frac{7(180)}{3}$ = 420°

Ierofanga [76]3 years ago

6 0

Answer:

400 degrees

Step-by-step explanation:

Step 1 : To convert radians to degrees, multiply the given radian by 180/pi

7pi/3 x 180/pi

Step 2 : Cancel pi

7/3 x 180

= 420 degrees

Step 3 : Round it to nearest 100

Since 20 is closer to 400 than 500 therefore it will be rounded off to

400 degrees

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If y-3x=9, 7x+y=25, what is the value of x and y?

lianna [129]

$\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?$

$\bold{\rm{Solution}} \text{: We'll solve this by substitution method}$

$\dashrightarrow y - 3x = 9 \\ \\ \dashrightarrow \boxed{y = 9 + 3x } \qquad .. \sf eq(1)$

$\text{we got the value of y now getting the value of x}$

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$\text{Now, putting y = 9 + 3x in eq(2)}$

$\hookrightarrow x = \frac{25 - y}{7} \\ \\ \hookrightarrow x = \frac{25 - 9 + 3x}{7} \\ \\ \hookrightarrow 7x = 25 - 9 + 3x \\ \\ \hookrightarrow 7x - 3x = 16 \\ \\ \hookrightarrow 4x = 16 \\ \\ \hookrightarrow x = \frac{16}{4} \\ \\ \star \quad \boxed{ \green{ \frak{ x = 4}}}$

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$: \implies y = 9 + 3x \\ \\ : \implies y = 9 + 3(4) \\ \\ : \implies y = 9 + 12 \\ \\ \star \quad \boxed{\frak{ \green{y = 21}}}$

$\text{Hence, values of x and y are} \: \frak{ \green{4}} \: \text{and} \: \frak{ \green{21}} \: \text{respectively}.$

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PLEASE someone help me on this I would appreciate it.

Anton [14]

2x-y =3
multiply by 4
8x - 4y = 12
3x +4y = 10 (unchanged equation)
------------------add
11x = 22

answer is A. the first.
first equation multiplied by 4 then sum to get 11x = 22

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dybincka [34]

Answer:

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Step-by-step explanation:

If two events X and Y are mutually exclusive,

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Let A represents the event of a diamond card and B represent the event of a heart card,

We know that,

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