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anygoal [31]
3 years ago
11

In the circle below, which of the following equations for major arc GE is FALSE?​

Mathematics
1 answer:
Helen [10]3 years ago
4 0

Answer:

measure major arc GE = measure minor arc GC + measure minor arc FE

Step-by-step explanation:

All of the other options are applicable except for Option 1

=> Major Arc GE is not equal to Minor Arc GC + Minor Arc FE

=> Rest of the options are all correct with respect to the circle.

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ms Callahan is building a new dog pen for her dog. she has 24feet of fencing. the pen needs to be a rectangle. what is the lengt
NeX [460]
If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet.  The perimeter is basically the distance around a figure.  The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w.  In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.

So, the formula is P=2l+2w.  P, the perimeter, is 24, so 24=2l+2w.  Let's try some values for l and see what we get for w.  If the length is 1, l=1.  24=(2*1)+2w.  24=2+2w.  22=2w.  w=11.  So if length is 1 foot, width is 11 feet.

What if l=2?  24=(2*2)+2w.  24=4+2w.  2w=20.  w=10.  If l=2, w=10.  And l=3?  24=(2*3)+2w.  24=6+2w.  18=2w.  w=9.  If l=3, w=9.  Do you see a pattern?  Every time we add 1 to l, we subtract 1 from w.  So if l=4, w=8.  If l=5, w=7.  If l=6, w=6.  Here, we start getting similar answers: if l=7, w=5.  If l=8, w=4.  Since we already know these values work, it doesn't matter whether we call it length or width.  So, our answers are below.

Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
6 0
3 years ago
The table represents a linear function. Find the values of A and B.​
bazaltina [42]

Answer:

The answers are that a = -5 and b = 1

Step-by-step explanation:

In order to find A and B, we first need to find the equation of the line. We can do this by using two ordered pairs and the slope formula. For the purpose of this activity, I'l use (0, 5) and (-3, 11)

m(slope) = (y2 - y1)/(x2 - x1)

m = (11 - 5)/(-3 - 0)

m = 6/-3

m = -2

Now that we have this we can model this using point-slope form.

y - y1 = m(x - x1)

y - 5 = -2(x - 0)

y - 5 = -2x

y = -2x + 5

Now that we have the modeled equation we can use the ordered pair (a, 15) to solve for a.

y = -2x + 5

15 = -2(a) + 5

10 = -2a

-5 = a

And we can also solve for b using the ordered pair (2, b)

y = -2x + 5

b = -2(2) + 5

b = -4 + 5

b = 1

4 0
3 years ago
Brandon left at 2:10 p.m. to walk to the park. It took him 7 minutes to walk there.
pantera1 [17]

Answer:

A. 2:17 p.m.

Step-by-step explanation:

7 minuets more than 10 minuets is 17.

7 0
3 years ago
Read 2 more answers
Simplify 1/4(8x+16)+4x.
QveST [7]

Answer:

6x+4

Step-by-step explanation:

First thing to do is distribute 1/4 into the parenthesis. So 1/4 times 8x and 16. Which will give you 2x and 4. Then add like terms which will be 2x + 4x which is 6x. Then you have the 4 left over so your new equation is 6x+4.

6 0
3 years ago
Read 2 more answers
A circular race track has a radius of 200 feet a car drives 50 laps around the track approximately how many miles does the car t
bazaltina [42]

Answer:

  11.9 miles

Step-by-step explanation:

The length of the track is ...

  C = 2πr = 2π(200 ft) = 400π ft

Then the length of 50 laps will be ...

  50C = 50·(400π ft) = 20,000π ft ≈ 62,831.9 ft

The number of miles (m) this is can be found from ...

  m(5280 ft) = 62,831.9 ft

  m = 62,831.9/5280 ≈ 11.90 . . . . miles

50 laps is about 11.9 miles.

4 0
3 years ago
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