Find the measures of the interior angles.

what is angle B and C?

Answer:

98

Step-by-step explanation:

you at 56 in to 42

Answer:

98

pa brainless

Step-by-step explanation:

please brainless

Recall the angle sum identity for cosine,

cos(α + β) = cos(α) cos(β) - sin(α) sin(β)

Then given sin(α) = -1/3, we have

cos(α + β) = cos(α) cos(β) + 1/3 sin(β)

α is in quadrant IV, so 3π/2 < α < 2π, and so sin(α) is negative and cos(α) is positive. Then from the Pythagorean identity, we get

sin²(α) + cos²(α) = 1

⇒   cos(α) = √(1 - sin²(α)) = 2√2/3

β is in quadrant III, so π < β < 3π/2, so both sin(β) and cos(β) are negative. If we multiply both sides of the previous identity by 1/cos²(α) and replace α with β, we get

sin²(β)/cos²(β) + cos²(β)/cos²(β) = 1/cos²(β)

⇒   tan²(β) + 1 = 1/cos²(β)

⇒   1/cos(β) = -√(tan²(β) + 1) = -√58/3

⇒   cos(β) = -3/√58

Also recall that by definition,

tan(β) = sin(β)/cos(β)

⇒   sin(β) = tan(β) cos(β) = 7/3 • (-3/√58) = -7/√58

Putting everything together, we find that

cos(α + β) = 2√2/3 • (-3/√58) + 1/3 • (-7/√58) = -(6√2 + 7)/(3√58)

or more clearly,

[tex]\cos(\alpha + \beta) = -\dfrac{6\sqrt2 + 7}{3\sqrt{58}}[/tex]

Work Shown:

z = (x - mu)/sigma

z = (72.4 - 69.0)/(2.8)

z = (3.4)/(2.8)

z = 1.2142857 .... which is approximate

z = 1.21

Z-score of a man who is 72.4 inches tall is 0.45.

Understanding the concept of the z-score helps us gauge how far a value is from the mean in terms of standard deviations.

A z-score, denoted as , measures the deviation of a data point from the mean in terms of standard deviations. It's calculated using the formula:

= ( - ) /

Where:

- is the value we want to find the z-score for (72.4 inches in this case).

- is the mean of the dataset (69.0 inches).

- is the standard deviation of the dataset (2.8 inches).

Plugging in the values:

= (72.4 - 69.0) / 2.8 = 1.25 / 2.8 ≈ 0.446

Rounded to two decimal places, the z-score is approximately 0.45.

This means that a man who is 72.4 inches tall is roughly 0.45 standard deviations above the mean height of adult men.

In other words, his height is a bit taller than the average height by about 0.45 times the standard deviation.

This positive value indicates that the man's height is above the mean. If the z-score were negative, it would mean the height is below the mean. By using z-scores, we can compare data points from different distributions and understand how unusual or typical a particular value is within its dataset.

Z-scores help us quantify the relative position of a data point, providing a standardized way to interpret its significance in the context of the dataset's characteristics.

In summary, the z-score of a man who is 72.4 inches tall is approximately 0.45, indicating that his height is slightly above the average height of adult men.

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Answer:

The question or equation is not clear.....

Step-by-step explanation:

x = 0,75

y = 0,96

= x - 2y

= 0,75 - 2.0,96

= 0,75 - 1,96

= -1,21

Answer:

20 por cento de cada um , que colocar

The unemployment rate is approximately 17 per cent. The correct option is A.

To calculate the unemployment rate, we need to consider the number of unemployed individuals (those looking for work) divided by the total labour force (those employed plus those looking for work).

Given:

Total population = 100

Employed individuals = 50

Individuals looking for work (unemployed) = 10

Total labour force = Employed + Unemployed

Total labor force = 50 + 10 = 60

Unemployment rate = (Unemployed / Total labour force) x 100

Unemployment rate = (10 / 60) x 100 ≈ 16.67 percent

Rounding to the nearest whole number, the unemployment rate is approximately 17 per cent.

Therefore, the correct answer is option A.

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0.8458 rounded to the nearest tenth is 0.8 given cos is 0.696706709347

Answer:

7.6

Step-by-step explanation:

Answer:

76/10

Explanation

7 × 10 is 70 + the 6 is 76/10

you can look up fractions on yt

to get a better explication.

Answer:

42m + 12

Step-by-step explanation:

6 ( 7m + 2 )

= 6 ( 7m ) + 6 ( 2 )

= ( 6 * 7m ) + ( 6 * 2 )

= 42m + 12

Answer:

a

Step-by-step explanation:

do distributive property and u get 42m+12

Answer:

B STEP 2

Step-by-step explanation:

5/8 is not more than 1

Answer:

The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.

The area of the rectangle can be found by [tex]11*4=44[/tex]

The area of a semi-circle can be found with the formula [tex]\frac{1}{2} \pi r^2[/tex] where r is the radius.

Since we know the diameter of the semi-circle is 4,

the radius will be 4 ÷ 2 = 2.

Therefore, the area of the semi-circle is [tex]\frac{1}{2}\pi 2^2=\frac{1}{2}\pi*4=2\pi[/tex]

Therefore, the area of the shape is [tex]44+2\pi[/tex] or [tex]50.283cm^2[/tex] (3 decimal places)

Answer:

sorry di ko alam

Step-by-step explanation:

If you meant 2x, x is 15; if you meant x^2, the answer is the square root of 30

Answer:

4

Step-by-step explanation:

-5g -6

Let g= -2

-5 (-2) -6

Multiply

10 -6

4

Answer:

A. 4

Step-by-step explanation:

So, we have an equation with a variable (g), and they've given us the value of g to be -2. All we have to do at this stage is plug in the value of g into the equation.

-5g-6 (g=-2)

-5(-2)-6

10-6=4

Doing the math by plugging in -2, you would get your answer to be 4. Let me know if you see any errors, and if you have any further questions at all.

Answer:

1. 42 people can be seated

2. 16 tables should be used.

Step-by-step explanation:

Part 1:

Since we are given the function, p(n) = 4n + 2, we need to plug in 10 to "n." This is because "n" represents the number of tables as stated on the top of the pciture. And "p(n)" represents the number of people that can be seated.

p(n) = 4(10) + 2

p(n) = 40 + 2

p(n) = 42

Part 2:

For this question, since we are given 65 as the total number of people that can be seated, we would plug in 65 in "p(n)", to result in the following equation.

p(65) = 4n + 2

Then solve the equation and use the property of inverse operation.

65 = 4n + 2

65 - 2 = 4n + 2 - 2

63 = 4n

63/4 = 4n/4

15.75 = n

Although we're given 15.75 as the number of tables that should be used, we can't really have a 0.75 of a table, so we would round 0.75 to 1.

15 + 1 = 16

16 tables are required.

Answer The correct answer to the following question is not provided U need to do it your self lol jk answer is d

Step-by-step explanation:

Answer:

i think 15 if thats on your answer sheet

Step-by-step explanation:

Step-by-step explanation:

Answer: question 1   If you are going over the top of a hill or rollercoaster quickly, you could feel your stomach drop or stomach sink. In actuality, it's probably the sensation of all your internal organs shifting slightly in your ribcage as your body defies gravity for a few seconds.

Step-by-step explanation: i do not know the 2 question im sorry mabye question 1 may help if not thaks ok bye :)

Answer:

the slope=-1 the slope perp=1

Step-by-step explanation:

to find slope perpendicular you just have to multiply your slope by something and have it equal -1

for example

1/2x=-1

the slope perpendicular to a line with the slope of 1/2 would be -2 beacause 1/2x-2=-1

so the slope x perpendicular slope = -1

Answer:

step 3

Step-by-step explanation:

when you multiply an even amount of negative numbers you will always get a positive result thus the answe would be 16.6 + 4.15 as in positive numbers

Step-by-step explanation:

Lidal : 9 rolls for £3.51

1 roll for 3.51/9 = £0.39

Oldi : 4 rolls for £1.52

1 roll for 1.52/4 = £0.38

so, Oldi has the best value for money when buying toilet rolls.

Given, consecutive / adjacent angles in a parallelogram are supplementary or make 180°. So, here (5a + 34)° & (3a + 26)° are supplementary angles.

=》5a + 34 + 3a + 26 = 180

=》5a + 3a + 34 + 26 = 180

=》8a + 60 = 180

=》8a = 120

=》a = 120/8

=》 a = 15

______

The picture is not clear, so I hope the values I took are correct.

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

C = 4s + 6a

C = 4(3) + 6(2)

C = 12 + 12

C = 24

Answer:

Step-by-step explanation:

Hope This Helps Bye :]

Step-by-step explanation:

-3m-2m<_ 11-76

-5m<_-65

m>_13

therefore, option 1, 13.

hope this helps you.