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Sergio [31]
3 years ago
7

An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.

Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

Answer:

7.5 m

Step-by-step explanation:

circumference = 360/72 × 3π = 15π

so the radius of the circle =

15π / 2π = 7.5 m

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The point (−3,15) undergoes a translation of 9 units right and 10
Artyom0805 [142]

Answer:

6, 5

Step-by-step explanation:

-3 + 9 = 6

15-10 = 5

6 0
3 years ago
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If (x) = -54 - 4 and g(x) = -3x - 2. find (f - g)(x).
Sholpan [36]

Set up the composite result function.

f

(

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(

x

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into

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x

−

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Apply the distributive property.

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Multiply

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=

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Step-by-step explanation:

4 0
3 years ago
10 + x + 5x²-x- 3 +5x<br> Which is the simplified expression found by combining like terms?
zlopas [31]
The answer is 5x^2 + 5x + 7
6 0
3 years ago
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A 6% sales tax charged on a $43.50 Item. How much is paid for the item altogethe
Natasha2012 [34]

Answer: Simply multiply 43.50 x .06 you get 2.61 add them = $46.11

Step-by-step explanation:

4 0
2 years ago
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What is 0.7, 0.755, 5/8 from least to greatest?
Margarita [4]
I like to start by turning all my numbers into the same form.  You can go either way but I am going to turn the decimals into fractions.  so 0.7 is the same as 7/10.

0.755 is like 755/1000 which can be reduced to 151/200  (if you don't understand the convertions let me know i will explaine more.)

Next give all the fractions a common denominator. both 8 and 10 go into 200 so we can use that.  151/200 already has a denominator of 200 so that one is set.
for 7/10  well, 10 time 20 is 200 so multiply both the numerator and the denominator by 20 so you get 140/200
the last one is 5/8  8 times 25 is 200 so multiply both numbers by 25 to get 125/200  

the fractionos we have are 125/200  151/200 and 140/200.  Now because they all have the same denominator the one with the lowest numerator is the least number and the one with the highest number is the greatest number.

125/200  140/200  151/200  now just replace the original number with the order they are placed in.
125/200 was 5/8
140/200 was 0.7 
151/200 was 0.755
so the final answer is 
5/8, 0.7, 0.755
6 0
3 years ago
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