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Rasek [7]
3 years ago
11

What is the degree measure of an arc 4 pi feet long in a circle radius of a 10 foot radius

Mathematics
1 answer:
otez555 [7]3 years ago
5 0
Circumference = 2 pi r = 20 pi
  corresponding to 360 degrees

so an arc of 4pi feet will have a degree measure of 5pi / 20pi  * 360 =  1/4 * 360 =  90 degrees
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At the beginning of the month, Lily has $4,578. By the end of the month, she only has $947 left over. How much money did she spe
alisha [4.7K]
3631 because 4578 - 947 = 3631
5 0
3 years ago
Read 2 more answers
2.6 I’m a improper fraction
slavikrds [6]

Answer:

26/10 is your answer

Step-by-step explanation:

2 6/10 = 26/10

2 is your whole and 6 is your numerator and 10 is your denominator since 6 is in the TENTHS place.

8 0
3 years ago
a farmer sells his corn for $230 a metric ton with a small surcharge of $25. his neighbor sells her corn for $230 a metric ton a
anyanavicka [17]

Step-by-step explanation:

Step one:

The farmer sells his corn for $230 a metric ton

small surcharge = $25.

let the amount per metric ton be x

and let the total cost per x metric ton be y

the total cost function is

y=230x+25--------------1

The neighbor sells her corn for $230 a metric ton

he gives $15 rebate------<em>A rebate is a partial refund of the cost of an item</em>

let the amount per metric ton be x

and let the total cost per x metric ton be y

the total cost function is

y=230x-15----------------2

Step two:

Equating the two equation above

230x+25=230x-15

230x-230x=25+15

0=40

The result shows that based on the cost function of both farmer, there will never be an amount of corn that would make them have the same cost

4 0
3 years ago
One side of a kite is 8 cm less than four times the length of another side. The perimeter of the kite is 78 cm. Find the lengths
Yuliya22 [10]

Answer:

9.4\:\mathrm{cm},\\9.4\:\mathrm{cm},\\29.6\:\mathrm{cm},\\29.6\:\mathrm{cm}

Step-by-step explanation:

A kite consists of two pairs of congruent adjacent sides. Therefore, we have the following equation:

2x+2(4x-8)=78, where x is the length of the shorter sides.

Solving, we get:

2x+8x-16=78,\\10x=94,\\x=\fbox{$9.4\:\mathrm{cm}$}.

Plugging in x=9.4 into 4x-8, we get:

4(9.4)-8,\\37.6-8,\\\fbox{$29.6\:\mathrm{cm}$}.

Therefore, two sides have length 9.4\:\mathrm{cm} and two sides have length 29.6\:\mathrm{cm}.

3 0
3 years ago
Which of the following statements have the same result? Explain each step in solving each one.. .
Andru [333]

Answer:

None, because 11\neq 9.5\neq 8.

Step-by-step explanation:

I. When f(x)=3x+2, then

f(3)=3\cdot 3+2=9+2=11.

II. Find the inverse function f^{-1}(x) for the function f(x)=\dfrac{2x-7}{3}.

y=\dfrac{2x-7}{3},\\ \\3y=2x-7,\\ \\2x=3y+7,\\ \\x=\dfrac{3y+7}{2},\\ \\f^{-1}(x)=\dfrac{3x+7}{2}.

Thus,

f^{-1}(4)=\dfrac{3\cdot 4+7}{2}=\dfrac{12+7}{2}=\dfrac{19}{2}=9.5.

III. Solve the equation 2y+14=4y-2:

14+2=4y-2y,\\ \\16=2y,\\ \\y=16:2=8.

3 0
3 years ago
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