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3 years ago

Convert the angle 0=228 degrees to radians

Mathematics

1 answer:

miv72 [106K]3 years ago

8 0

Answer:

$\dfrac{19}{15}\,\text{radians}=1.2\overline{6}\,\text{radians}$

Step-by-step explanation:

θ = 228° = (228°)×(π/180° radians/degree) = 228/180 radians

= 19/15 radians

≈ 1.266...(repeating) radians

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In △ABC, ∠ABC = 60○

Temka [501]

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is $180^{o}$ .

In the given question, point P is such that <APB = <APC = <BPC = $120^{o}$ . Also, line PB bisects <ABC into two equal measures. Thus;

<ABP = $30^{o}$

Thus,

<ABP + <APB + <BAP = $180^{o}$

30 + 120 + <BAP = $180^{o}$

<BAP = $180^{o}$ - 150

<BAP = $30^{o}$

Apply the Sine rule to determine the value of PB, such that;

$\frac{AP}{Sin B}$ = $\frac{BP}{Sin30}$

$\frac{8}{Sin30}$ = $\frac{BP}{Sin 30}$

BP = $\frac{8*Sin30}{Sin 30}$

= $\frac{4}{0.5}$

BP = 8.0

Therefore, the value of BP = 8 units.

For more clarifications on applications of the Sine rule, visit: brainly.com/question/15018190

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8 0

2 years ago

A) not similar

inn [45]

Answer:

A) not similar

Step-by-step explanation:

for the triangles to be similar the side lengths must be proportional.

For example:

99/35 should be equal to 121/44 but when we do cross multiplying we see they are not equal therefore the the triangles are not similar.

5 0

2 years ago

teacher gives 5 students a multiple choice test, in which each problem is worth 1 point and there is no penalty with negative po

mamaluj [8]

The mean is the average value of a given set of numbers, and the median is the number in the middle of a set of numbers arranged in increasing order

The correct values as response to the questions are;

The minimum possible top score is 21

The maximum possible top score is 32

The minimum of the possible standard deviation is approximately 1.26

The maximum of the possible standard deviation is approximately 11.7

The reason the above values are correct are as follows:

The given parameters are;

The number of students that take the test, n = 5

The amount of points for each problem = 1 point

The median score = 9

The mean Score = 10

Required:

The minimum possible score;

The maximum possible top score

The minimum of the possible standard deviations

The maximum of the possible standard deviations

Solution:

Given that there is a score (the median) which is 9, we have;

The scores obtainable in the test is Scores ≥ 9

Therefore, for a score of 10, we have;

The minimum total points obtainable = Mean × Number of students

Therefore;

Total minimum total points obtainable by the 5 students = 5 × 10 = 50

The minimum possible top score

By arrangement, with the median at the middle, the minimum possible top score is given as follows;

0, 0, 9, 20, 21

Therefore, the minimum possible top score is 21

The maximum possible top score

The maximum possible top score is similarly given by arrangement of the numbers as follows'

0, 0, 9, 9, 32

The maximum possible top score is 32

The minimum standard deviation

By arrangement and selection, the minimum standard deviation is given as follows;

The minimum of the possible standard deviations of (9, 9, 9, 11, 12) ≈ 1.26

The maximum of the possible standard deviation

The maximum of the possible standard deviation is given as follows;

The maximum of the possible standard deviation of (0, 0, 9, 9, 32) ≈ 11.7

Learn more about mean and median here:

brainly.com/question/17012793

8 0

2 years ago

What is the phase of y= -3cos (3x-pi) +5

ratelena [41]

Answer:

$- \frac{\pi}{3}$

Step-by-step explanation:

Given

$y = -3\cos(3x - \pi) + 5$

Required

The phase

We have:

$y = -3\cos(3x - \pi) + 5$

Rewrite as:

$y = -3\cos(3(x - \frac{\pi}{3})) + 5$

A cosine function is represented as:

$y = A\cos(B(x + C)) + D$

Where:

$C \to$ Phase

By comparison:

$C = - \frac{\pi}{3}$

Hence, the phase is: $- \frac{\pi}{3}$

3 0

3 years ago

The line segment joining the points A(2,1) and B(5,-8) is trisected at the points p and q such that p is nearer to A. If p also

SpyIntel [72]

Answer:

k = -8

Step-by-step explanation:

The location of P is ...

P = (2A+B)/3 = (2·2+5, 2·1-8)/3 = (3, -2)

Putting this point into the equation for the line, we have ...

2(3) -(-2) +k = 0

8 +k = 0

k = -8

3 0

3 years ago

Read 2 more answers