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4 years ago

30° + 180° (2n + 1), its radian measure is equivalent to?

Mathematics

1 answer:

Nuetrik [128]4 years ago

7 0

Answer:

Example: Find the radian measure of the angles −70° and 120°.

Solution: To find the radian measure of −70° we multiply −70 by the conversion factor /180. We get

Similarly, for 120° we obtain

Note that when we write an angle as a fractional amount of , for example 2/3 times we write the result either as the numerator times divided by the denominator or as the fraction times . So the two values

are equivalent ways of writing the same number. You will see both methods used in the text and in the exercises.

Example: Find the degree measure of /12.

Solution: The conversion factor for going from radians to degrees is 180/. We get

and so the radian measure of /12 is 15°.

Step-by-step explanation:

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3 years ago

It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of

Keith_Richards [23]

Answer:

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Step-by-step explanation:

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3 years ago

Hot dogs are sold in packs of 10. Buns are sold in packs of 8. What is the least number of hot dogs you can buy so that you can

Likurg_2 [28]

8*5=40
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4 years ago

Read 2 more answers

Help. Geometry. Branliest!!

Ierofanga [76]

1. Correct. The reflection happens over segment AB and then you translate 6 units to the right and 3 units up. This will move point A to D, B to F, C to E, to have the triangles line up perfectly.

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2. Problem 1 already confirmed the triangles are congruent based on how they line up perfectly. Another way to prove this is to either use the SAS (side angle side) or LL (leg leg) theorem. With SAS, we need a pair of congruent sides and a pair of angles, with the angles between the two sides. The horizontal and vertical sides can be easily measured. The angles between the two sides are 90 degree angles. Because we have right triangles, we can use LL which is really just a special case of SAS.

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3. Segment EF is 5 units. You can use the pythagorean theorem with a = 3 and b = 4 to solve a^2+b^2 = c^2 to get c = 5. Or you can use the fact that BC = 5 is given to us, so EF must also be 5 as well. This is because of the idea that if two triangles are congruent, then their corresponding pieces must be the same as well.

Real world example: imagine having 2 houses that are perfect clones of each other. If this is the case, then surely their front doors would be identical copies as well. In this analogy, a house is a triangle, while the front door is the segment.

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4 years ago

The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a ye

Alex Ar [27]

Answer:

restaurant: 89
car: 43
home: 59

Step-by-step explanation:

Let r, c, h represent the numbers of purchased meals eaten in a restaurant, car, or home, respectively. The given data tells us ...

r + c + h = 191

-r + c + h = 13

r + 0c - h = 30

___

Subtracting the second equation from the first, we have ...

2r = 178

r = 89

Substituting into the third equation gives ...

89 -h = 30

h = 59

Then substituting into the second equation, we have ...

-89 +c +59 = 13

c = 43

The number of purchased meals eaten in a restaurant is 89; in a car, 43; and at home, 59.

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<em>Comment on the solution</em>

We have used an <em>ad hoc</em> method of solution of these equations. This is a result of the observation that the only difference in the first two equations is the sign of "r". Knowing r, the last equation lets us find h. Then we can use either of the first two equations to find c.

There are algorithmic methods of solving a system of 3 equations in 3 unknowns. One of these is Cramer's Rule. Row reduction or elimination techniques are not so different from what we have done. The difference is in the presentation. For some of the elimination techniques, a matrix form, or augmented matrix form, of the equations is used.

8 0

4 years ago

30° + 180° (2n + 1), its radian measure is equivalent to?​

30° + 180° (2n + 1), its radian measure is equivalent to?