Tutors Answer Your Questions about Geometric formulas (FREE)
Question 164005: Prove that the area of a circular sector of radius r with central angle theta is , where theta is measured in radians.
The following is what I've come up with so far, am I on the right track?
I can tell that a circular sector looks similar to a triangle with an arc replacing its flat base. The area of a triangle is computed using A=1/2bh. Therefore:
h=r
b=s=r(theta)
A=(1/2)rr(theta) which is simplified to
Click here to see answer by Dr.E(1) |
Question 168657: if u have a circle with the diameter of 7 inches in square with sides measuring 7 inches and you draw a square in the circle going from one side of the circle to the other side of the circle parallel with the larger square how long are the sides of smaller square
Click here to see answer by josmiceli(19441)  |
Question 169347: I have a bunch of these types of questions in an assignment, can you please help me out with this one so I can do the other ones myself?
Thanks!
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Francine is earning $7.00 per hour. She gets a 20% raise in pay. By what fraction should you multiply to find how much more per hour she will now make? What will Francine's new hourly rate be?
~~READ~~ the problem and break it into parts to solve it. Identify any irrelevant information in the problem.
~~SHOW~~ each step of your math work.
~~WRITE~~ an explanation describing what you did and why you solved the problem the way you did.
~~WRITE~~ your answer.
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That is one of my 10 assignments. It would be much appreciated if you did all the work like it is telling me to do so I can understand it for the rest of the questions.
Thanks so much!
Click here to see answer by nerdybill(7384)  |
Question 169347: I have a bunch of these types of questions in an assignment, can you please help me out with this one so I can do the other ones myself?
Thanks!
_________________________________________________________________________________
Francine is earning $7.00 per hour. She gets a 20% raise in pay. By what fraction should you multiply to find how much more per hour she will now make? What will Francine's new hourly rate be?
~~READ~~ the problem and break it into parts to solve it. Identify any irrelevant information in the problem.
~~SHOW~~ each step of your math work.
~~WRITE~~ an explanation describing what you did and why you solved the problem the way you did.
~~WRITE~~ your answer.
________________________________________________________________________________
That is one of my 10 assignments. It would be much appreciated if you did all the work like it is telling me to do so I can understand it for the rest of the questions.
Thanks so much!
Click here to see answer by gonzo(654) |
Question 169790: At a local shopping, a business was allowed to construct a building over a pond. concrete pillars were used to keep the building above the water line. The pond is the shape of a perfect circle and the building is a rectangle. The corners are labeled A,B,C, and D. The ratio from side AB to side BC is 4:3 and the perimeter is 280 units. The edge of the circular pond is 4 units beyond each corner of the building on the diagonal when viewed in an aerial photo. What is the are of the pond that is not covered by the building?
Click here to see answer by gonzo(654) |
Question 171644: The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s - 16t 2 , where t is the time the object has been falling. A 5 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 3 story. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.)
Click here to see answer by stanbon(75887) |
Question 174515: In the plan for a table, the triangular top has coordinates (0,10), (4,0), and (8,14). The tabletop will rest on a single support placed beneath it. Where should the support e attached so that the table is balanced?
Click here to see answer by jojo14344(1513) |
Question 174472: Prove: If a diagonal of a parallelogram bisects an angle of the parallelogram, the parallelogramis a rhombus. State your plan and give a proof. Proof must include statements and reasons.
Given: ABCD is a parallelogram with <1 = (w/ wavy line above it) <2.
To Prove: ABCD is a rhombus.
Click here to see answer by Edwin McCravy(20056)  |
Question 176987: if two sides of a rectangle change so that the new area is double the original area,and one side is increased by 50%what is the percentage increse or decrease of the other side? tis is my first math class in 17 years please show me the steps so i can see where i went wrong
Click here to see answer by Edwin McCravy(20056)  |
Question 177086: if the two sides of a rectangle change so that the area remains constant,and one side is increased by 25%,what is the percentage increase or decrease of the other side. i think i am missing some steps please help thanx
Click here to see answer by scott8148(6628)  |
Question 178071: AT 930 AM ANDREW LEFT EXETER FOR PORTSMOUTH ,CYCLING AT 12 MPH AT 10 AM STACY LEFT PORTSMOUTH FOR EXETER,CYCLING AT 16 MPH.THE DISTANCE FROM EXETER TO PORTSMOUTH IS 20 MILES.FIND THE TIME THEY MEET.
THIS IS WHAT I HAVE AM I ON THE RIGHT TRACK? 12T 16 (T-1/2)=20 MILES
12T 16T -8=20
18T-8=20
18T=28
T=1.555555556
THEY WILL MEET AT 11 35 AM??????
Click here to see answer by stanbon(75887) |
Question 178369: Five pumpkins are weighed two at a time in all ten sets of two. The weights are recorded as 16, 18,19, 20, 21, 22, 23, 24, 26, and 27 pounds. All individual weights are also intgers. How much does each pumpkin weigh?
Click here to see answer by Mathtut(3670) |
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