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3 years ago

Given a circle with a radius of 6, what the the length of an arc measuring 30 degrees

1 answer:

6 0

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=6\\
\theta =30
\end{cases}\implies s=\cfrac{30\cdot \pi \cdot 6}{180}\implies s=\pi$

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Thaddeus shakes his head as he pays $12.37 to the clerk for lunch. Complaining to a friend, Thaddeus says, “Do you realize that

atroni [7]

his income must be "x" which is the 100%, and we would know that 0.2% of that is 12.37.

$\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&0.2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{0.2}\implies 0.2x=1237 \\\\\\ x=\cfrac{1237}{0.2}\implies x=61.85$

his income must be "x" which is the 100%, and we would know that 2% of that is 12.37.

$\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{2}\implies 2x=1237 \\\\\\ x=\cfrac{1237}{2}\implies x=618.5$

btw he's not making much either way.

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2 years ago

1. It is a three-digit whole number.

taurus [48]

Answer:

660

Step-by-step explanation:

4x5x11x3 = 660

8 0

2 years ago

Ming plays video games online.

Vlad1618 [11]

Ming needs to play for 15 hours to get 500 points. They gave him 200 for signing up, so 500-200=300 more points needed. 300 divided by 20= 15 more hours.

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3 years ago

Read 2 more answers

Fill in values for a, b and c so that the answer to this equation is x = 4.<br>a(bx+3)=c

den301095 [7]

Answer:

A=1, B=3, C=15

Step-by-step explanation:

I think that

1(3x+3)=15

3x+3=15

3x=12

x=4

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2 years ago

Can someone please help me find the measure of angle ABO?

lara [203]

Answer:

m<ABO = 22 deg

Step-by-step explanation:

A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.

m<O + m<B = 90

68 + m<B = 90

m<B = 22

Answer: m<ABO = 22 deg

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3 years ago