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eduard
3 years ago
15

What is the length of arc ab?

Mathematics
2 answers:
Anika [276]3 years ago
6 0

6 pie cm

Step-by-step explanation:

7nadin3 [17]3 years ago
4 0
Before we do anything we must convert radians to degrees using a table. pi/3 radians equals 60 degrees, meaning the central angle of this arc is 60 degrees. This also tells us that the length of the arc is 1/6 of the whole circumference. All we have to do now is calculate the circumference which is diameter x pi.

arc = 1/6 pi x 36
arc = 6pi cm

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√3=1.732 find the value of√75+1/2√48-√198​
Nookie1986 [14]

Answer:

12.124-3\sqrt{22}

Step-by-step explanation:

\sqrt{75} = \sqrt{5^{2}*3} \\

\sqrt{48}= \sqrt{2^{2}*2^{2}*3} \\

\sqrt{198} =\sqrt{3^{2}*2*11} \\

\sqrt{75} +\frac{1}{2} *\sqrt{48} - \sqrt{198} \\\\\sqrt{5^{2}*3} +\frac{1}{2} *\sqrt{2^{2}*2^{2}*3} - \sqrt{3^{2}*2*11} \\\\5\sqrt{3} +\frac{1}{2} *4 \sqrt{3} - 3 \sqrt{2*11} \\\\5\sqrt{3} +2 \sqrt{3} - 3 \sqrt{22} \\\\5*1.732 +2*1.732 - 3 \sqrt{22} \\\\8.66 + 3.464 - 3 \sqrt{22}\\\\12.124- 3 \sqrt{22}

4 0
2 years ago
Which exponential function goes through the points (1, 8) and (4, 64)?
Mama L [17]
An exponential function can be expressed as:

y=ab^x  we have two points so we can solve

64/8=(ab^4)/(ab^1)

8=b^3

2=b, now we have:

y=a(2^x), using point (4,64)

64=a(2^4)

64=16a

4=a so

y=4(2^x)
6 0
3 years ago
Simplify -6 x (-5) x 3 x (-2) x 4
aksik [14]

Answer:

-720

Step-by-step explanation:

7 0
2 years ago
Marshall drove to work in rush hour traffic, going just 27 miles in 1 hour and 20 minutes. Later that day, he left work early to
iragen [17]

Answer:

The average speed of Marshall is 29.7 mph

Step-by-step explanation:

Given;

distance traveled to work, d₁ = 27 miles

distance traveled back home, d₂ = 27 miles

initial time taken, t₁ = 1 hour and 20 minutes

final time taken, t₂ = 29 minutes

Total distance traveled, d = d₁ + d₂ = 27 miles + 27 miles = 54 miles

Total time taken for the journey, t = t₁ + t₂ = 1 hour + ( 20 mins + 29 mins)

t = 1 hour + 49 mins = 1 hour + 0.817 hour = 1.817 hour

The average speed is given by;

v = total distance / total time

v = 54 miles / 1.817 hour

v = 29.7 mph

Therefore, the average speed of Marshall is 29.7 mph

8 0
3 years ago
It cost $44.88 to buy 12 gallons of gas.What was the cost per gallon of gas?
Natali [406]

Answer:

$3.74 per gallon

Step-by-step explanation:

1. Divide $44.88 by 12

2. The answer will be 3.74

3. Each gallon will cost $3.74

4 0
3 years ago
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