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vichka [17]
3 years ago
7

Find an angle between 0 and 2pi that is coterminal with the following angle. 32pi/9

Mathematics
1 answer:
never [62]3 years ago
5 0
<span>To do these you will be adding or subtracting  2pi (or integer multiples of .

Since the given angles are in fraction form, it will help to have 2pi  in fraction form, 2pi=10/5=6pi/3=4pi/2=18pi/9     NOTE: this>(/) stands for over like 1 over 2 EX. 1/2

too, so the addition/subtraction is easier.

Hint: When deciding if you have a number between 0 and 2pi, compare it to the fraction version of 2pi that you've been adding/subtracting.


For 17pi/5...
First we can see that 17pi/5 is more than 10pi/5 (aka 2pi). So we need to start subtracting: 17pi/5 - 10pi/5 = 7pi/5

Now we have a number between 0 and 10pi/5. So 7pi/5 is the co-terminal angle between 0 and 2pi.

I'll leave the others for you to do. Just remember that you might have to add or subtract  multiple times before you get a number between 0 and 2pi.
P.S don't add or subtract at all if the number starts out between 0 and 2pi.</span>
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Four congruent isosceles right triangles are cut from the 4 corners of a square with a side of 20 units. The length of one leg o
yanalaym [24]

Answer:

368 sq. units.

Step-by-step explanation:

We have a square of side lengths 20 units and we cut four congruent isosceles right triangles from the corners of the square.

Now, the four isosceles right triangles have one leg equal to 4 units.  

Therefore, the area of four triangles = 4 \times ( \frac{1}{2} \times 4 \times 4) = 32 sq. units.

Now, we have the area of the given square is (20 × 20) = 400 sq. units.

Therefore, the area of the remaining octagon will be (400 - 32) = 368 sq. units. (Answer)

7 0
3 years ago
The price of orange juice is believed to increase by 14% over the next year. If a gallon of orange juice costs $3.00 now, what w
hichkok12 [17]

Answer:

3.42

Step-by-step explanation:

6 0
3 years ago
Which ordered pair makes both inequalities true?
Tatiana [17]

The ordered pair which makes both inequalities true is: D. (3, 0).

<h3>How to determine ordered pair?</h3>

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:

At (0, 0), we have:

y > -2x + 3  

0 > -2(0) + 3

0 > 3 (false).

y < x – 2

0 < 0 - 2

0 < -2 (false)

At (0, -1), we have:

y > -2x + 3  

-1 > -2(0) + 3

-1 > 3 (false).

y < x – 2

-1 < 0 - 2

-1 < -2 (false)

At (1, 1), we have:

y > -2x + 3  

1 > -2(1) + 3

1 > -1 (true).

y < x – 2

1 < 1 - 2

1 < -1 (false)

At (3, 0), we have:

y > -2x + 3  

0 > -2(3) + 3

0 > -3 (true).

y < x – 2

0 < 3 - 2

0 < 1 (true).

Read more on inequalities here: brainly.com/question/24372553

#SPJ1

3 0
1 year ago
Wilfred is feeding his goats. He gives 56% of the bag of feed to the goats in field A and the rest to the goats in field B. If t
krok68 [10]

Answer:

Feeds = 11.76kg

Step-by-step explanation:

Given

Field\ A= 56\%

Field\ B= The\ rest

Bag = 21kg\ feed

Required

Determine how much goats in field A, get.

To do this, we simply multiply the percentage feed received by goats in field A by the actual bags of feeds

i.e.

Feeds = 56\% * 21kg

Convert percentage to decimal

Feeds = 0.56 * 21kg

Feeds = 11.76kg

<em>Hence, goats in field A get 11.76kg of feeds</em>

6 0
2 years ago
Y/3 - 4 = -1 solve for y
Marysya12 [62]

Answer:

y=9

Step-by-step explanation:

First we need to solve al addition and subtraction by performing the inverse operation. In this case, we need to add to reverse the subtraction

y/3 -4= -1

y/3= 3

Now we solve all multiplication and division again using the inverse operation, which in this case is multiplication, because the variable is being divided.

y/3=3

y=9

Thus we get that the value for y is 9.

Hope this helped!

Btw you're very pretty! <3

5 0
3 years ago
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