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kogti [31]
3 years ago
12

What is the arc measure of an arc with length 4.189 cm and radius equal to 3 cm.'?

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0
Given that the arc length is 4.189 cm and the radius is 3 cm, the size of the arc will found as follows;
C=theta/360 πd
suppose:
size  of arc=theta=x
d=3*2=6 cm
hence;
4.189=x/360*π*6
4.189=0.0524x
x=4.189/0.0524
x=80.004°
The size of the arc length is 80.004°
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Bill and Pete shared 1/2 of a cake. Bill got to eat twice as much cake as Pete. What fraction of the whole cake did Bill eat?
KatRina [158]

Answer:

Step-by-step explanation:

Total cake shared=1/2

Pete share=x

Bill= twice as much as Pete

=2x

Pete's share+ Bill's share=total share

x+2x=1/2

3x=1/2

x=1/2÷3

x=1/2×1/3

=1/6

Pete's share=x=1/6

Bill's share=2x

=2(1/6)

=2/6

=1/3

3 0
3 years ago
The ratio of pencil to rulers is 6:10. the are 21 pencils. how many rulers are there
Reika [66]

There would be 35 rulers.

In order to solve this, use cross multiplication.

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10*21 = 6*x

210 = 6x

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8 0
3 years ago
Explain how you can use compatible numbers to estimate the whole-number quotient of 925÷29.​
alukav5142 [94]

Answer:

below

Step-by-step explanation:

Round 925 to 900

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900/30

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31.89

7 0
2 years ago
Write an equation in slope-intercept form for the line with slope 7 and v-intercept -6.
vredina [299]

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6 0
3 years ago
The cosine law
romanna [79]
\bf \textit{Law of sines}
\\ \quad \\
\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
-------------------------------\\\\

\bf \cfrac{sin(88^o)}{39.9}=\cfrac{sin(A)}{31}\implies \cfrac{31\cdot  sin(88^o)}{39.9}=sin(A)
\\\\\\
sin^{-1}\left[ \cfrac{31\cdot  sin(88^o)}{39.9} \right]=sin^{-1}\left[ sin(A) \right]
\\\\\\
sin^{-1}\left[ \cfrac{31\cdot  sin(88^o)}{39.9} \right]=\measuredangle A
\\\\\\
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3 0
3 years ago
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