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Ilya [14]
2 years ago
7

Find an angle in each quadrant with a common reference angle with 216°, from 0°=0<360°

Mathematics
1 answer:
Naddik [55]2 years ago
7 0

Answer:

Quadrant 1: 36°

Quadrant 2: 144°

Quadrant 3 (Given): 216°

Quadrant 4: 324°

Step-by-step explanation:

A 216° angle in standard position has its terminal side in quadrant 3 since 216° is between 180° and 270°.

216° - 180° = 36°

The reference angle for 216° is 36°

Quadrant 1: 36°

Quadrant 2: 180° - 36° = 144°

Quadrant 3 (Given): 216°

Quadrant 4: 360° - 36° = 324°

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you are helping to organize a soccer tournament by registering the participating teams. each week 666 teams register to particip
algol13

The graph that best represent the relationship between time and cost is option A as it is a proportional graph

<h3>How to know the graph that represent the relationship between time and number of team?</h3>

Each week 6 teams register to participate.

Therefore, for every week 6 team register to participate in the competition.

This simply implies as time increases , the number of participant in the competition also increase.

Therefore, the equation that can be use to represent this situation is as follows:

y = 6x

where

  • y = number of team registered
  • x = time in weeks.

Hence,  the graph that best represent the relationship between time and cost is option A as it is a proportional graph. The registered team increases as the time in weeks increase.

learn more on graph relationship here: brainly.com/question/12812258

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8 0
2 years ago
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of
emmasim [6.3K]

Answer:

The null hypothesis is: H_{0}: \mu = 100

The alternative hypothesis is: H_{a}: \mu > 100

Step-by-step explanation:

At the null hypothesis, we test if the mean is equal to a certain value.

At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.

This means that the null hypothesis is: H_{0}: \mu = 100

Could it be that the average tuft strength is above 100 lb?

The world above means that the appropriate alternative hypothesis is: H_{a}: \mu > 100

3 0
3 years ago
A field in the shape of a right triangle is bordered on one side by a stream, on another side by a road, and on a third side by
trasher [3.6K]

Answer:

42°

Step-by-step explanation:

For this problem, it may help you to draw it out to visualize it. You want to find the angle between the stream and road. Based on the description the triangle looks like this.

                         / |

Stream(27)      /   |  Road( 20)

                     /__|

                   Fence

You know the length of the road is 20, and the stream is 27. The angle can be found by using Cos∅=a/h. Adjacent to where the road and stream meet is the road, 20, and hypotenuse is the stream, 27.

So 20/27 = .74 = Cos∅

To find the angle ∅ use inverse cosine to get 42°.

Hope that helps and let me know if I did anything incorrectly!

5 0
3 years ago
In XYZ, XY=XZ<br> Find the length of XY of XYZ if XY=2a, YZ=3a+1, andXZ=5a-12
lorasvet [3.4K]

Answer: XY = 8

Step-by-step explanation:

The diagram of the triangle XYZ is shown in the attached photo.

XY=XZ. This means that two sides of the triangle are equal. Two angles are also equal. It means that the triangle XYZ is an isosceles triangle.

Since XY=XZ, then

2a = 5a - 12

Subtracting 2a from both sides of the equation,

2a - 5a = 5a - 12 - 5a

-3a = -12

a = -12/-3

a = 4

Therefore, the length of XY is 2a = 2×4 = 8

5 0
3 years ago
Choose a number line to model the following situation:
Gnom [1K]

Answer:

Attached below

Step-by-step explanation:

Starting value = 0

Gain +25 = 0 + 25 = 25

Loss = 25 +(-25) = 0

Start = 0 and End = 0

This one :

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
3 years ago
Read 2 more answers
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