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Nady [450]
4 years ago
5

If the length of the minute hand of the clock in London commonly known as “Big Ben” is 11.25’ from the center of the clock to th

e tip of the hand, what is the area swept out by the minute hand as it moves 5 minutes of time?
Mathematics
1 answer:
Elenna [48]4 years ago
3 0
The angle swept out is equal to 1/12 of a full rotation is π/6 radians.

r^2 * theta = π/6 * 11.25^2 = 66.268"
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Susan quits her administrative job, which pays $40,000 a year, to finish her four-year college degree. Her annual college expens
MrMuchimi

Answer:

The opportunity cost is $28.600

Step-by-step explanation:

The opportunity cost is the value of the best alternative that is rejected. If Susan goes to college loses what he would win from her salary minus any potential gains from investment in education in college. It can be found as this:

Expenses: 8000 + 900 + 2500 = 11.400

So OCost is: 40.000 - 11.400 = 28600

She would lose 28.600 of income per year because of going to college.

4 0
3 years ago
What is -4 3/4+2 1/2
OLga [1]
The answer as a mixed number: -2 1/4
the answer as a decimal: -2.25
the answer as an improper fraction: -9/4
3 0
3 years ago
Please help me. I do not understand this question.
dlinn [17]

Answer:

The true statement is h < k ⇒ (3)

Step-by-step explanation:

∵ The equation of the graph is y = \sqrt{x+h} + k

∵ (-h, k) are the coordinates of its vertex point

∵ -h is the x-coordinate of the vertex point

∵ x-coordinate of the vertex point is -3

∴ -h = -3

→ Divide both sides by -1

∴ h = 3

∵ k is the y-coordinate of the vertex point

∵ y-coordinate of the vertex point is 4

∴ k = 4

∵ 3 < 4

→ That means h is smaller than k

∴ h < k

∴ The true statement is h < k

6 0
3 years ago
Apply the distributive property to factor out the greatest common factor.<br> 4+10=
almond37 [142]

4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)

4 0
2 years ago
what is the quotient (65y3 15y2 − 25y) ÷ 5y? a. 13y2 3y − 5 b. 13y3 3y2 − 5y c. 13y2 − 3y 5 d.13y2 − 3y − 5
Aneli [31]

Keywords:

<em>Division, quotient, polynomial, monomial </em>

For this case we must solve a division between a polynomial and a monomial and indicate which is the quotient.

By definition, if we have a division of the form: \frac {a} {b} = c, the quotient is given by "c".

We have the following polynomial:

65y ^ 3 + 15y ^ 2 - 25y that must be divided between monomy5y, then:

C (y) represents the quotient of the division:

C (y) = \frac {65y ^ 3 + 15y ^ 2 - 25y} {5y}

C (y) = \frac {65y ^ 3} {5y} + \frac {15y ^ 2} {5y} - \frac {25y} {5y}

C (y) = 13y ^ 2 + 3y-5

Thus, the quotient of the division between the polynomial and the monomial is given by:

C (y) = 13y ^ 2 + 3y-5

Answer:

The quotient is: C (y) = 13y ^ 2 + 3y-5

Option: A


4 0
3 years ago
Read 2 more answers
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