How many numbers between two and fifty are
divisible by three?

The terminal side of θ would lie in the first quadrant. The quadrant in which the terminal side of θ lies can be determined based on the given conditions. If sinθ > 0 and cscθ > 0, it means that the sine and cosecant of θ are both positive.

To determine the quadrant in which the terminal side of θ lies, we can analyze the signs of the trigonometric functions involved. The sine function (sinθ) represents the y-coordinate, and the cosine function (cosθ) represents the x-coordinate on the unit circle. The cosecant function (cscθ) is the reciprocal of the sine function (1/sinθ).

In the first quadrant (0° to 90°), both the x and y coordinates are positive. Therefore, sinθ > 0 and cscθ > 0 are satisfied. Since cosθ > 0 as well, it means that the terminal side of θ falls in the first quadrant.

It's important to note that the given conditions are not sufficient to determine the exact value of θ, but they provide information about the quadrant in which the terminal side of θ lies.

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Answer:

BC = 6

Step-by-step explanation:

Look at two corresponding sides that have both lengths given.

They are AB = 4 and XY = 3.

We need BC, and its corresponding side YZ = 4.5.

We can use a proportion.

BC/YZ = AB/XY

a/4.5 = 4/3

3a = 4.5 * 4

a = 1.5 * 4

a = 6

Answer: BC = 6

The cumulative percent frequency for students working less than 20 hours per week is 25%.

In statistics, the frequency of the first-class interval is added to the frequency of the second class, and this sum is added to the third class and so on then, frequencies that are obtained this way are known as cumulative frequency (c.f.). A table that displays the cumulative frequencies that are distributed over various classes is called a cumulative frequency distribution or cumulative frequency table. There are two types of cumulative frequency - lesser than type and greater than type. Cumulative frequency is used to know the number of observations that lie above (or below) a particular frequency in a given data set. Cumulative frequency is the total frequencies showcased in the form of a table distributed in class intervals. There are two types of cumulative frequency i.e. lesser than and greater than, let us learn more about both types.

The number of hours frequency is given as follows:

Number of hours   Frequency  Cumulative frequency

0 - 9                          20                20

10 - 19                       80                100

20 - 29                     200               300

30 - 39                     100                400

So, the cumulative percent frequency  for students working less than 20 hours per week is

= (No. of students working less than 20 hours/ total number of students)* 100

= (100/400)*100

= 25%

Thus, the cumulative percent frequency for students working less than 20 hours per week is 25%.

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Answer:

Area=16.65

Perimeter=26.3

Step-by-step explanation:

To find the area of a triangle, you must multply the length and height and divide by two. An equation like this could help find the area of a triangle: A=2÷(L×W) In your case, 7.4 is the length and 4.5 is the base. Multiply 7.4 and 4.5 together and divide the result by 2.

To find the perimeter, just add 7.4, 6.3, and 12.6 together. 4.5 doesn't get added, only the 3 sides of the triangle do. Don't forget to label the measurements.

Answer:

Step-by-step explanation:

To find the normal plane and osculating plane, we first need to find the required derivatives.

x = 5t, y = t^2, z = t^3

dx/dt = 5, dy/dt = 2t, dz/dt = 3t^2

So, the velocity vector v and acceleration vector a are:

v = <5, 2t, 3t^2>

a = <0, 2, 6t>

Now, let's evaluate them at t = 1 since the point (5, 1, 1) is given.

v(1) = <5, 2, 3>

a(1) = <0, 2, 6>

The normal vector N is the unit vector in the direction of a:

N = a/|a| = <0, 1/√10, 3/√10>

Using the point-normal form of the equation for a plane:

normal plane equation = 0(x-5) + 1/√10(y-1) + 3/√10(z-1) = 0

Simplifying this equation we get:

5x + 2y + 3z = 30

The osculating plane can be found using the formula:

osculating plane equation = r(t) · [(r(t) x r''(t))] = 0

where r(t) is the position vector, and x is the cross product.

At t = 1, the position vector r(1) is <5, 1, 1>, v(1) is <5, 2, 3>, and a(1) is <0, 2, 6>.

r(1) x v(1) = <-1, 22, -5>

r(1) x a(1) = <12, -6, -10>

v(1) x a(1) = <-12, 0, 10>

Substituting these values into the formula, we get:

osculating plane equation = (x-5, y-1, z-1) · <12, -6, -10> = 0

Simplifying this equation we get:

3x - 15y + 5z = 5

Therefore, the equations for the normal plane and osculating plane at (5, 1, 1) are:

(a) 5x + 2y + 3z = 30

(b) 3x - 15y + 5z = 5

Answer: 360 - 44 - 80 = 236

236 ÷ 2 = 118

both angle equal to 118

Step-by-step explanation:

The measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees.

It is defined as the four-sided polygon in geometry having four edges and four corners.

We know that kite is quadrilateral, having :

It has one pair of opposite congruent angles.

One diagonal is bisected.

The top and bottom angles are bisected but

As we know from the kite properties it has one pair of opposite congruent angles

From the properties of the quadrilateral the sum of the interior angles is 360 degrees

44 + angle 1 + angle 2 + 80 = 360

Angle 1 = angle 2 = x(say)

44 + x + x + 80 = 360

2x + 124 = 360

2x = 236

x = 118 degrees

Angle 1 = angle 2 = 118 degrees

Thus, the measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees or m∠1 = 118° and m∠2 = 118°.

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The corrrect statements about angle are:

Please refer to the attached picture below for visualization of the angles.

Based on the attached picture, we can consider the relationship of each angle, such as:

Alternate interior angles and congruent:

Angle 4 and angle 5

Angle 3 and angle 6

Alternate exterior angles and congruent:

Angle 1 and angle 8

Angle 2 and angle 7

Consecutive interior angles and supplementary:

Angle 3 and angle 5

Angle 4 and angle 6

Corresponding angles and congruent:

Angle 1 and angle 5

Angle 2 and angle 6

Angle 3 and angle 7

Angle 4 and angle 8

Vertical angles and congruent:

Angle 1 and angle 4

Angle 2 and angle 3

Angle 5 and angle 8

Angle 6 and angle 7

Supplementary angles:

Angle 1 and angle 2

Angle 3 and angle 4

Angle 5 and angle 6

Angle 7 and angle 8

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The minimum number of $5-notes she has is 11.

To find the minimum number of $5-notes that Siti has, we need to consider the maximum number of $2-notes she can have while still having a total value of more than $132.

Let's assume Siti has x $5-notes. Since the total value of all the notes is more than $132, we can set up the following equation:

5x + 2(50 - x) > 132

Simplifying the equation:

5x + 100 - 2x > 132

Combining like terms:

3x + 100 > 132

Subtracting 100 from both sides:

3x > 32

Dividing both sides by 3:

x > 10.67

Since x represents the number of $5-notes, it must be a whole number. Therefore, Siti must have at least 11 $5-notes in order for the total value of the notes to be more than $132.

So, the minimum number of $5-notes she has is 11.

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Answer:

6/t

Step-by-step explanation:

Quotient means divide

6/t

Answer:

you need to find out what the answer is or what t stands for!

Step-by-step explanation:

Answer:

The answer x = 75

Step-by-step explanation:

A triangle's angles must add up to 180 degrees.

We already have 47 and 58 which is 105. 180 - 105 = 75.

Answer:

2,160 pencils

Step-by-step explanation:

Large boxes = 12

Small boxes = 18

Each large box contains 144 pencils . Each small box contains 24 pencils

Total pencil in large boxes = Total large boxes × number of pencils per box

= 12 × 144

= 1,728 pencils

Total pencil in small boxes = Total small boxes × number of pencils per box

= 18 × 24

= 432 pencils

Estimate the total number of of pencils

Total number of pencils = total pencils in large boxes + total pencil in small boxes

= 1,728 pencils + 432 pencils

= 2,160 pencils

It is better to have an underestimate than an overestimate so that you won't disappoint your buyers when they request for a quantity of supply. If it is underestimated; you can meet demand, if it is overestimated; you can't meet demand

The equation of a circle with a center at (-8, -5) and a point on the circle at (-1, 1) can be found using the distance formula. The equation is (x + 8)^2 + (y + 5)^2 = 98.

To find the equation of a circle, we need to know the coordinates of the center and a point on the circle. Let's denote the center of the circle as (h, k) and the point on the circle as (x1, y1).

The distance formula can be used to find the radius of the circle, which is the distance between the center and any point on the circle. The formula is:

r = sqrt((x1 - h)^2 + (y1 - k)^2)

In this case, the center is (-8, -5) (h = -8, k = -5), and the point on the circle is (-1, 1) (x1 = -1, y1 = 1).

Substituting these values into the distance formula, we get:

r = sqrt((-1 - (-8))^2 + (1 - (-5))^2)

= sqrt((7)^2 + (6)^2)

= sqrt(49 + 36)

= sqrt(85)

Now that we know the radius is sqrt(85), we can write the equation of the circle using the formula:

(x - h)^2 + (y - k)^2 = r^2

Plugging in the values, we have:

(x + 8)^2 + (y + 5)^2 = (sqrt(85))^2

(x + 8)^2 + (y + 5)^2 = 85

Therefore, the equation of the circle with a center at (-8, -5) and a point on the circle at (-1, 1) is (x + 8)^2 + (y + 5)^2 = 85.

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\(f(x) = \dfrac{1}{2x} \\~\\~\\f(-2) = \dfrac{1}{2\cdot(-2)} \\~\\~\\f(-2) = -\dfrac{1}{4} \\~\\~\\f(-2) = -0.25\)

Answer: b to d

Step-by-step explanation:

b goes from d its 8 squares away so the mathematics problem would be 8/~ correct?

Answer:

Motor 1) 7 ½ horsepower single phase, 230 volts 40 ampere) ; Motor 2) 5 ... for a 2 horsepower 115 volt motor that has a full-load current rating of 24 ampere, ... Simultaneously disconnects all conductors of the circuit.

a) Timothy's bike costs $20.It's important to note that the given percentage value represents a proportion or fraction of the original cost, allowing us to calculate the specific cost

To find the cost of Timothy's bike, we need to calculate 20% of Katie's bike cost.

20% of $100 can be calculated by multiplying $100 by 0.20:

20% * $100 = $20.

Therefore, Timothy's bike costs $20.

To calculate 20% of $100, we multiply $100 by the decimal equivalent of 20%, which is 0.20:

20% * $100 = 0.20 * $100 = $20.

In this scenario, Timothy's bike is priced at 20% of Katie's bike cost. This means that Timothy's bike is relatively less expensive compared to Katie's bike. It's important to note that the given percentage value represents a proportion or fraction of the original cost, allowing us to calculate the specific cost of Timothy's bike based on the given percentage relationship.

Based on the given information, Timothy's bike costs $20, which is 20% of Katie's bike cost.

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Answer:

24  h^16

Step-by-step explanation:

4h ^10 · 6h^6

Multiply the constants

4*6 = 24

Since the bases are the same, add the exponents

h^10 * h^ 6 = h^ ( 10+6) = h^16

24  h^16

Answer:

11

Step-by-step explanation:

11 is greater than 6, meaning it satisfies the inequality.

Answer:

582 cm²

Step-by-step explanation:

The main vertical rectangle in the middle is 13 cm wide. Its length is

10 cm + 7 cm + 10 cm + 7 cm = 34 cm

Then each of the two rectangles on the sides is 10 cm by 7 cm.

area = 13 cm × 34 cm + 2 × 10 cm × 7 cm

area = 582 cm²

Answer:

x<5

Step-by-step explanation:

Answer:

-2 > -15

Step-by-step explanation:

-2 is greater than -15

The p-value is .11 and the significance level is .05, then we fail to reject the null hypothesis.

The p-value represents the probability of obtaining the observed results, or results more extreme, assuming the null hypothesis is true. In this case, the p-value is greater than the significance level, which means that the observed results are not significant enough to reject the null hypothesis.
With a p-value of .11 and a significance level of .05, we can conclude that there is not enough evidence to reject the null hypothesis.
When comparing the p-value to the significance level (0.05), if the p-value is less than or equal to the significance level, you would reject the null hypothesis, indicating that there is a significant effect or difference.

If the p-value is greater than the significance level, you would fail to reject the null hypothesis, meaning that you cannot conclude that there is a significant effect or difference.

Hence, the p-value (0.11) is greater than the significance level (0.05), you fail to reject the null hypothesis, which means you cannot conclude that there is a significant effect or difference.

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When we divide 1/2 by 1/8, we get the answer as 4

Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division

Here two fractions are given.

We need to divide  1/2 by 1/8

1/2 ÷ 1/8

(1/2)/(1/8)

(1/2)x (8/1)

4

Therefore, upon dividing 1/2 by 1/8 we get the answer as 4

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Answer:

Larger groups tends to take less time to solve the puzzle.

Step-by-step explanation:

It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.

From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.

Answer:

B

Step-by-step explanation:

Khan Academy says so

Answer:

i cant entirely see the image well, but the y intercept should be the line that passes through the line on the graph that goes up and down

Step-by-step explanation:

i hope this helps :))

The "integers"— , positive, negative, NOT zero. The "rational numbers"— , or fractions, like 355/113.

Answer:

\(\frac{\sqrt{2} }{3}\)

Step-by-step explanation:

Answer:

,

18, 30

18 = 2.3.3

30 = 23.5

2.3 = 6

6 = GCF

1. 12, 18

2, 10, 35

3. 8, 30

4, 16, 24

5, 28, 49

6. 27,63

7. 30, 45

8. 48, 72

Answer:

1. 12,18, 12/6 = 2 and 18/6 = 3, so 6 is your GCF

2. 10,35, 10/5 = 2 and 35/5 = 7, so if it can't reduce anymore with the same GCF then 5 is your GCF.

3. 8,30, 8/2 = 4 and 30/2 = 15 which can't be reduced anymore which leaves 2 as the GCF

4. 16,24, 16/8 = 2 and 24/8 = 3 which makes 8 your GCF

5. 28,49, 28/7 = 4 and 49/7 = 7, so if you think about it there is no bigger number that can go into both of these numbers except 7. 7 is your GCF

6. 27,63, 27/9 = 3 and 63/9 = 7, your GCF is 9

7. 30,45, 30/5 = 6 and 45/5 = 9, your GCF is 5 because no other number can go into these numbers that is bigger than 5.

8. 48,72, 48/12 = 4 and 72/12 = 6, I tried to go bigger but I got a decimal so it makes the GCF 12.

Step-by-step explanation:

First you are going to want to find a number that goes into both of the chosen numbers.

Second if you can find a bigger number that goes into your chosen number

Third if you can't find a bigger number than you have found your GCF