The table lists the number of male and female students at Lakeside High school.
What is the probability of selecting a female student?

A) 161/324

B) 1

C) 161/163

D) 1/2

Answer:

a. the values are the same.

Step-by-step explanation:

The sine = y-coordinate / hypotenuse. The unit circle has hypotenuse = 1, so

the sine = y /1 = y.

Final answer:

The value of the sine of an angle on the unit circle is the same as the y-coordinate of the corresponding point on the circle, as the sine function is defined as the ratio of the opposite side to the hypotenuse in a right triangle.

Explanation:

When looking at the unit circle, we can observe that the value of the sine of an angle is indeed the same as the y-coordinate of the point on the unit circle at that angle. In other words, if we take a point on the unit circle at an angle θ from the positive x-axis, its coordinates can be expressed as (cos(θ), sin(θ)). Therefore, the sine of the angle gives us the y-coordinate of the point on the circle. This relationship is a direct consequence of how the trigonometric functions are defined in the context of a right triangle, where the sine of an angle is the length of the side opposite to the angle (y) divided by the hypotenuse (which is 1 for the unit circle).

Answer:

0.75m

You take the 75cm because that is the height and then you have to convert it to meters I used Google

Answer:

24

Step-by-step explanation:

To determine the number of possible meal combinations at the pizzeria, multiply the number of options for each course, yielding 2 (pizzas) × 3 (sides) × 4 (drinks), which equals 24 possible meals.

To calculate the number of possible meals you can choose from at the pizzeria, you can use the Fundamental Principles of Counting, specifically the Multiplication Principle. The principle states that if one event can occur in m ways and a second independent event can occur in n ways, then the two events can occur in m × n ways together. Since we are dealing with more than two events, we extend this principle.

In this scenario, you have 2 kinds of pizzas, 3 sides, and 4 drinks to choose from. To find the total combinations of meals, you multiply the number of options for each selection. That is:

So, the calculation would be:

2 × 3 × 4 = 24 possible meals.

This calculation shows that there are 24 different combinations of meals that you can choose from when you pick one pizza, one side, and one drink.

Final answer:

The difference between the circumferences of the outer and inner circles, given a diameter of 9m for the inner circle and an outer part thickness of 2m, is 4π m.

Explanation:

To find the difference between the circumferences of an outer circle and an inner circle, we first need to determine their respective radii and then apply the circumference formula C = 2πr.

The given diameter of the inner circle is 9m, hence its radius is 9m / 2 = 4.5m. The thickness of the outer part of the circle is 2m, so the radius of the outer circle is 4.5m + 2m = 6.5m.

The circumference of the inner circle is C_inner = 2π(4.5m) = 9π m, and the circumference of the outer circle is C_outer = 2π(6.5m) = 13π m.

The difference between the circumferences is therefore Couter - Cinner = 13π m - 9π m = 4π m.

1) We want to find the area of the triangular bases, which means both shown in the net. So, normally we would divide the area by 2 (from the formula), but since we are finding the area of two triangles, that isn't necessary.

A = 8 x 3

2) There are two different sized rectangles here. One that is repeated twice and the other that is on its own. We know that A and C are the same, and if we think about how this net is folded, we can determine that the width of A and C would be 5 cm. For both sized rectangles, the length is 12 cm. For rectangle B, we can see that its width is 8 cm.

A = (8 x 12) + (5 x 12)

3) Now that we have all of the expressions needed to find the surface area, what we need to do is evaluate each of them and add them together to find the total surface area.

Triangles = 8 x 3 = 24

Rectangles = (8 x 12) + (5 x 12) = 96 + 60 = 156

Surface area = 24 + 156 = 180 square centimeters

Hope this helps! :)

Answer:

8 1/4 or 8 2/8

Step-by-step explanation:

6+1= 7

5/8+5/8= 10/8 or 1 2/8

1 2/8 + 7= 8 2/8

Simplify

8 1/4 cups

In making his lemonade, Joe uses a total of 8 1/4 cups of water. He initially adds 6 5/8 cups, then adds an additional 1 5/8 cups when the lemonade is too strong.

Joe is making lemonade and initially adds 6 5/8 cups of water. When he finds it too strong, he adds another 1 5/8 cups of water. To calculate the total amount of water Joe uses, we add the two quantities of water together:

Adding these results together, Joe uses a total of 7 cups + 1 1/4 cups = 8 1/4 cups of water in his lemonade.

Learn more about Addition of Fractions here:

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Final answer:

Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.

Explanation:

To find out how many gifts of the same size Mrs. Téllez can wrap until the roll is empty, we need to divide the total length of wrapping paper by the amount used per gift. Mrs. Téllez uses 1/4 yard to wrap each gift, and there are 20 yards of wrapping paper on the roll. So, we need to divide 20 by 1/4 to get the number of gifts.

To divide a whole number by a fraction, we can multiply the whole number by the reciprocal of the fraction. The reciprocal of 1/4 is 4/1. So, we multiply 20 by 4/1:

20 x 4/1 = 80/1 = 80

Therefore, Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.

Answer:

if x = 11 then y = 660

Step-by-step explanation:

when the x increases by 1 at a constant rate, the y increases by 60 at a constant rate

so, if we keep moving forward with the table, you'll easily see that when x = 11, y = 660

The value of y would be 275 more in the table than on the graph when x = 11. Hence the correct option is 4.

The value of y would be 275 more in the table than its value on the graph when x = 11.

By substituting x = 11 into the equation y = 10 + 2x, we get y = 10 + 2(11) = 32 for the graph.

From the table, the corresponding value for y when x = 11 is 307.

Thus, the difference in the value of y between the table and the graph is 307 - 32 = 275.

Given:

m∠APB = 19°

To find:

The arc measure of DBC.

Solution:

∠APB and ∠DPC are vertical angles.

By vertical angle theorem:

m∠APB = m∠DPC

m∠DPC = 19°

DB is the diameter of the circle.

Angle measure of diameter = 180°

m∠DPB = 180°

m∠DPC + m∠CPB = m∠DPB

19° + m∠CPB = 180°

Subtract 19° from both sides.

19° + m∠CPB - 19° = 180° - 19°

m∠CPB = 161°

The measure of central angle is equal to the measure of intercepted arc.

m∠CPB = m(ar CPB)

m(ar CPB) = 161°

The arc measure of DBC is 161°.

Answer:

D. Exponential

Step-by-step explanation:

The point are going down at an exponential rate.

Answer: A. The range of both plots is about the same.

Step-by-step explanation:

The question asks about boxplots but does not provide the actual boxplots to analyze. Nonetheless, the answer describes what each statement means in relation to boxplots. The true statement would depend on graphical interpretation of the provided boxplots.

Without actual boxplots, it is not possible to definitively answer this question. However, I can provide you with a brief description of each of the given options.

In general, to get a correct answer, study the two boxplots together, comparing their ranges, means, and medians.

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Answer:

1:

A'(6,6) B'(5,2) C'(2,6)

2: They are congruent if they have the same shape and size, if not, then they are not congruent

3: Can't answer

Answer:

They are the same shape as ABC and LMN both measure 4 base and 4 side measurement each along with hypotenuse shared value of 5. Making these triangles isosceles.

We can see that LMN is the only triangle whos base that lies parallel with the y (inverse usual x line), this is proof that the transition was 270° in total and 222.5° flip from the ABC last transition.

Each transition was the following

1) As shown on diagram 90 flip

We found 67.75° with ABC, then 222.5°  

Meaning 270° from start to finish.

There was a 22.5 transition in the first grid too, so if counting that we deduct that from 270° to equal 247.5° full rotation from first replacement coordinate drawn in question 1.

Step-by-step explanation:

Answer:

If the long side is down then the length of the base is 81 sq.m.

If the short side is down then the length of the base is 20.25 sq.m.

Step-by-step explanation:

162/4 is 40.5 that means if this were a square it would be 40.5 sq.m. On each side, if the base is longer you multiply 40.5 by 2 (or whatever youre supposed to honestl) and if the base is shorter you divide by 2 (or whatever you were supposed to)

Answer:

8m

Step-by-step explanation

Answer:

6.

Step-by-step explanation:

The number of ways = 2 languages * 3 implements

= 6

Answer:35X 10^-13

Step-by-step explanation: multiply the coefficient 7x5 add exponents when multiplying

Answer:

Option D: 225 zł

Step-by-step explanation:

(English question:

Mr. Bartek bought 15 flower seedlings and paid PLN 67.50 for them. Mr. Michał bought 50 cuttings at the same price for one piece.

How much more did Michał pay for seedlings than Mr. Bartek? Choose the right answer from the given ones.

A. 22.50 PLN B. 157.50 PLN C. 202.50 PLN D. 225 PLN)

We can solve this problem using a rule of three:

If Mr. Bartek bought 15 flowers seedlings for 67.5, Mr. Michal that bought 50 flowers seedlings will pay what price (If he pays the same price per unit that Mr. Bartek paid)?

15 seedlings -> PLN 67.5

50 seedlings -> PLN X

15/50 = 67.5/X

X = 50*67.5/15 = 225

The correct option is D: 225 zł

Answer:

1.) 1

Step-by-step explanation:

Answer:

the answer is c.

Step-by-step explanation:

that is for the second question

Answer:

-11.7 units

Step-by-step explanation:

using the distance formula d= sq route of (x2-x1)squared+ (y2-y1)squared

the distance is found to be the square root of 136, which is 11.66 so round to 11.7

Answer:

- 1/2

Step-by-step explanation:

[tex]slope = \frac{1 - 6}{8 - ( - 2)} = \frac{ - 5}{8 + 2} = \frac{ - 5}{10} = - \frac{1}{2} \\ [/tex]

Given angles:

[tex]$\pi, \frac{\pi}{3} , \frac{3 \pi}{4}, \frac{4 \pi}{2}, \frac{7 \pi}{3}[/tex]

To order the angles from least to greatest:

The value of π = 180°

[tex]$\frac{\pi}{3}=\frac{180^\circ}{3}= 60^\circ[/tex]

[tex]$\frac{3 \pi}{4}=\frac{3 \times 180^\circ}{4}= 135^\circ[/tex]

[tex]$\frac{4 \pi}{2}=\frac{4 \times 180^\circ}{2}= 360^\circ[/tex]

[tex]$\frac{7 \pi}{3}=\frac{7 \times 180^\circ}{3}= 420^\circ[/tex]

Order from least to greatest:

60° < 135° < 180° < 360° < 420°

Now write using π:

[tex]$\frac{\pi}{3}< \frac{3 \pi}{4}< \pi < \frac{4 \pi}{2}< \frac{7 \pi}{3}[/tex]

Answer:

13.28

Step-by-step explanation:

range=the difference of biggest number and lowest number

Answer:

Step-by-step explanation:

13/28 = 195/420

17/30 =  238/420

So that means that 3 17/30 > 3 13/28

Answer: Constraints

i got that question its constraints

a) After 4 years the profit will change from negative to positive.

b)after 4 years the profit will be lowest.

Because the equation is a quadratic equation so, it will be increasing.

c) after 4 years the profit will be 5.

Step-by-step explanation:

a) After 1 year = 2(1) -6(1) -3

= 2-9

= -7

It's negative

After 2 years = 2(4) -6(2) -3

= 8-12-3

= -7

It's negative

After 3 years = 2(9) -6(3) -3

= 18 - 18 -3

= -3

It's negative

After 4 years = 2(16) -6(4) -3

= 32 -24-3

= 5

It's positive

After 4 years the profit will change from negative to positive

b) after 4 years the profit will be lowest.

Because the equation is a quadratic equation so, it will be increasing.

c) profit = 2(16) - 6(4) -3

= 32 -24 - 3

= 5

after 4 years the profit will be 5

Answer:

i think its 13

Step-by-step explanation:

Answer:

this is called a Expression

Step-by-step explanation:

Answer:

expression

Step-by-step explanation: