Sin Cos Tan
Geometry

The commission earned by the salesperson for selling a $25,000 car with an 18% commission rate can be calculated by multiplying the price of the car by the commission rate:

Commission = 0.18 * $25,000

Commission = $4,500

Therefore, the salesperson would earn a commission of $4,500 for selling the car.

Since ∠A and ∠B are vertical angles, they have equal measures, so m∠A = m∠B. We can set the two expressions equal to each other:

7x + 4 = 8x - 20

Solving for x:

-x = -24

x = 24

So, m∠A = 7x + 4 = 7 * 24 + 4 = 188, and m∠B = 8x - 20 = 8 * 24 - 20 = 188.

Therefore, the measure of ∠B is 188 degrees.

The probability that exactly one of Zoe's cupcakes had caramel inside after the cupcakes were randomly arranged and customers were allowed to choose their own cupcakes is 1/3266.

The probability that exactly one of Zoe's cupcakes had caramel inside can be calculated as follows:

P(exactly one cupcake with caramel) = (number of ways to choose one cupcake with caramel) / (total number of combinations of three cupcakes)

There are 6 cupcakes with caramel, so there are 6 ways to choose one cupcake with caramel.

Out of 150 cupcakes, there are 150 choose 3 = 19,600 ways to choose three cupcakes.

So, the probability that exactly one of Zoe's cupcakes had caramel inside is:

P(exactly one cupcake with caramel) = 6 / 19,600 = 1/3,266

Therefore, the probability that exactly one of Zoe's cupcakes had caramel inside is 1/3,266.

To learn more about probability click on,

https://brainly.com/question/28773685

#SPJ4

Answer:

bring -18x to 2x

2x-18x

then bring -4 to +4

2x-18x+4-4

The expression fails to compute the area of a triangle having base b and height h is (1.0 /2.0)*b*h.

Therefore the answer is A.

The correct expression to compute the area of a triangle having base b and height h is (1/2) * b * h, or equivalently, 0.5 * b * h.

Expression A is incorrect because it uses floating-point division, which may result in round-off errors or inaccuracies in the computation.

Expression B is the correct expression because it uses integer division and the division by 2 is clear.

Expression C is also correct because it uses floating-point division and the division by 2.0 is clear.

Therefore, both expressions B and C are correct, and expression D is a correct equivalent form of B and C.

To know more on floating-point division

https://brainly.com/question/28462275

#SPJ4

--The question is incomplete, answering to the question below--

"which expression fails to compute the area of a triangle having base b and height h (area is one-half base time height)?

A. (1.0 /2.0)*b*h

B. (1 /2)*b*h

C. (b*h)/2.0

D. 0.5*b*h"

3rd option is correct.

Nader can spend on the purchase of a car if the interest rate is 9.8%/a, compounded annually, is $8715.82

Compound interest is the interest that is earned on the principal amount of a loan or investment, as well as the interest that is earned on the accumulated interest.

In this case, Nader wants to purchase a used car and can afford to pay $280 per month for three years. He has found the best interest rate he can get, 9.8%/a, compounded monthly. However, if the interest rate is compounded annually, the most he could spend on the vehicle will be different.

To calculate this, we need to use the formula for compound interest, which is

A = P(1 + r)ˣ,

where A is the total amount, P is the principal amount, r is the interest rate, and x is the time period.

When we apply the values on it, then we get,

=> A = $8702.85(1 + 9.8)³

=> A = $8715.82

To know more about compound interest here.

https://brainly.com/question/29335425

#SPJ4

The population of the leopard in 5 years is 951

From the question, we have the following parameters that can be used in our computation:

Initial population, a = 1000

After one year = 990

This means that the rate r is

r = 990/1000

r = 0.99

The function is represented as

y = ar^x

So, we have

y = 1000(0.99)^x

In 5 years, we have

y = 1000(0.99)^5

y = 951

Read more about exponential function at

https://brainly.com/question/2456547

#SPJ1

w ≤ 250

This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, the weight, w, must be less than or equal to 250 pounds.

The weight, w, must be less than or equal to 250 pounds. This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, if the weight of the object being placed on the stepladder is greater than 250 pounds, it is not safe to use the stepladder. This inequality helps to ensure the safety of the person using the stepladder, as it limits the amount of weight that can be placed upon it. Furthermore, it also helps to protect the stepladder itself, as it prevents it from being overloaded with too much weight, which could cause it to break or malfunction. In conclusion, the inequality w ≤ 250 represents the maximum weight that a stepladder can safely hold.

Learn more about inequality here

https://brainly.com/question/28823603

#SPJ4

Answer: Total price: $28.67

Step-by-step explanation:  From Courtney Summers, the author of Cracked Up To Be, comes a dark new tale of high school rivalry in which vicious rumors and nasty tricks are the currency that buys you popularity or seals your fate at the bottom of the food chain.

Answer:

Yes

Step-by-step explanation:

Since it literally says "there are 2 homeroom teachers assigned to every 48 students", this means that it is a ratio because 2 teachers: 48 students are proportional.

The length of line segment KJ is D. 3√5 units

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lie inside those endpoints. The Euclidean distance between two ends of a line segment determines its length.

∠KMJ = 180° - 90° (adjacent angles on a straight line)

= 90°

Using Pythagorean Theorem,

KJ² = 6² + 3²

KJ² = 45

KJ = √45

= √9√5

= 3√5

The answer is D. The length of line segment KJ is 3√5 units.

Read more about line segment here:

https://brainly.com/question/17374569

#SPJ1

The product of the given expression; 4x (x²) as required to be determined is; Choice 1; 4x³.

It follows from the task content that the product of 4x (x²) is to be determined as required.

Since the given expression is; 4x (x²); we have that;

4 • x • x²

It therefore follows from the product of powers law of indices that we have;

4•x³

= 4x³.

Ultimately, the product of the expression is; 4x³.

Read more on laws of Indices;

https://brainly.com/question/24291110

#SPJ1

The new credit card balance on her credit card is $219 if no interest is added on balance.

The total sum of money owing by a cardholder to their credit card company is known as their credit card balance. Balances fluctuate depending on when and how they are used; they rise when purchases are made and fall when payments are made by cardholders. Any sum that is left over at the end of the billing cycle is added to the bill for the following month and is subject to interest. The balances on a person's credit cards play a significant role in determining their credit score. Future lenders will evaluate them to assess the risk (and price) of extending further credit to their clients.

Given that Mabel owes $374 and make a repayment of $155.

Then the new credit card balance is, if no interest is added on balance

= $374 - $155

= $219

So, The new credit card balance on her credit card is $219

To learn more about credit card balance visit:

brainly.com/question/3636698

#SPJ1

Answer:

= (3 + 11)/4

= 14/4

= 7/2 or 3[tex]\frac{1}{2}[/tex]

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

We can then plug this value into the given for XZ, which is 3x, to solve for the length of XZ. This comes out to be 18. Therefore, the value of x is 6, and the length of XZ is 18.

x = 6, XZ = 18

To solve for x, we can use the formula for the midpoint of a segment, which is (x + z)/2.

Plugging in the given values, we get (x + 13)/2 = 6.

Simplifying, we get x = 6.

To solve for XZ, we can simply plug in the given value for x, which is 6.

Therefore, XZ = 3(6) = 18.

Given three values related to a line segment, XZ, XT, and TZ, we can solve for both the value of x and the length of XZ. To do this, we can use the formula for the midpoint of a segment, which is (x + z)/2. Plugging in the given values for XT and TZ, we can solve for x, which comes out to be 6. We can then plug this value into the given for XZ, which is 3x, to solve for the length of XZ. This comes out to be 18. Therefore, the value of x is 6, and the length of XZ is 18.

Learn more about length here

https://brainly.com/question/13194650

#SPJ4

The population of Nisos be as large as Queen Irene has proclaimed that the islands can support is 16600.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles.

The total area of the Nisos Isles is 24,900 square miles.

Here, 24,900/1.5

= 16600

Therefore, the population of Nisos be as large as Queen Irene has proclaimed that the islands can support is 16600.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ1

A linear relationship can be expressed by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.

This equation can be used to calculate the relationship between two variables, x and y. For example, if we have two sets of data points (x1, y1)…(xn, yn) we can calculate the slope m and the y-intercept b as follows:

m = (sum of (x_i - x_mean)*(y_i - y_mean))/(sum of (x_i - x_mean)^2)

b = y_mean - m*x_mean

Where x_mean and y_mean are the sample means of the x and y variables respectively.

Once we have calculated m and b, we can use the equation y = mx + b to describe the linear relationship between x and y. We can also use this equation to predict the value of y for a given x value. For example, if m = 2 and b = 0, then the equation becomes y = 2x and we can predict that when x = 1, y = 2.

In contrast, a nonlinear relationship is one which cannot be described by the equation y = mx + b, as the relationship between x and y is not linear. Instead, a nonlinear relationship is one in which the relationship between x and y is described by a more complex equation, such as y = ax^2 + bx + c.

To summarise, a linear relationship between two variables can be described by the equation y = mx + b, where m is the slope and b is the y-intercept, while a nonlinear relationship is one which cannot be described by this equation and is instead described by a more complex equation.

Learn more about linear relationship here:

https://brainly.com/question/9108689

#SPJ4

The value of the missing internal angle in the irregular polygon is equal to 125°.

The sum of internal angles (S), in degrees, in any convex polygon is determined by the following formula:

S = 180 · (n - 2)

Where n is the number of sides in the polygon.

According to the image seen beside, we find an irregular pentagon, that is, a polygon with five sides. First, determine the sum of internal angles:

S = 180 · (5 - 2)

S = 180 · 3

S = 540°

Second, find the value of the missing internal angles:

y = 540° - 86° - 142° - 72° - 115°

y = 125°

To learn more on irregular polygons: https://brainly.com/question/10642750

#SPJ1

Answer:

For a 10-day rental, d = 10 - 7 = 3 days.

Step-by-step explanation:

So, the total amount Mr. White has to pay is 260 + 70d = 260 + 70 * 3 = 260 + 210 = 470 dollars.

Answer:

Step-by-step explanation:

The straight line is an angle of 180. If given an angle of 57 and 90, subtract from 180.

180 - 90 - 57 = 8q + 1

33 = 8q + 1

8q = 32

q = 4

Answer:

0.4% increase although I don't know what a percentage point is sorry.

Step-by-step explanation:

Answer:

The increase in percentage points was 0.4

The increase in percent was 16%

Step-by-step explanation:

To find the increase in percent, divide the increase in percentage points by the initial unemployment rate and multiply by 100: (0.4 / 2.5) * 100 = 16%.

Answer:

40

Step-by-step explanation:

84 runners to start a race

in the first half of the race 1/3 of them dropped out = 84/3 = 28 dropped out

so 56 left

in the second half of the race 2/7 of the remaining runners dropped out

2/7 *56 =16 dropped out

so 56-16 = 40 left

how many runners finish

40

The area and volume based on the information will be area 144 √3 square meters and 240√3 cubic meters

To calculate the area of the hexagonal prism, you need to calculate the area of each face and add them up. To calculate the area of one face of the hexagon, you can use the following formula:

Area of a regular hexagon = (3 * √3) / 2 * side^2

Plug in the side length of 4m:

Area of a face = (3 * √3) / 2 * 4^2 = (3 * √3) / 2 * 16 = 24 * √3

So the area of one face is 24 * √3 square meters. There are a total of 6 faces, 3 of which are hexagons, so the total area of the hexagonal prism is:

Total area = 6 * (24 * √3) = 144 * √3 square meters

To calculate the volume of the hexagonal prism, multiply the area of one face by the height:

Volume = (24 * √3) * 10 = 240 * √3 cubic meters

So the volume of the hexagonal prism is 240 * √3 cubic meters

Learn more about area on:

https://brainly.com/question/25292087

#SPJ1

Nelson is asked to move water to fill a container in the shape of a hexagonal prism with the following measurements: Side of the polygon= 4m and Height= 10m. Help him calculate the area of the figure and then the volume. And assuming that we have another prism three times the space, what would its volume be?

Answer:

? = 5cm

Step-by-step explanation:

We know the right side is 14 cm; that is the combination of the 9 cm and the length of the ?

So, to find the ? we take

14 - 9 = 5cm

So, the ? equal 5cm

Step 1: Calculate the rate of change in the moose population.

The rate of change in the moose population can be calculated by subtracting the 1991 population (3270) from the 1997 population (4770) and dividing the result by the number of years (7).

Therefore, the rate of change in the moose population is (4770 - 3270) / 7 = 700 moose/year.

Step 2: Find the formula for the moose population in terms of the years since 1990.

The formula for the moose population in terms of the years since 1990 is P(t) = 3270 + 700t, where t is the number of years since 1990.

A population may grow as a result of certain changes. Animal populations that consume certain plants may grow if there are more plants present than typical in a region. If the population of one species rises, the population of animals that consume that animal may also rise.

For more questions like Moose population visit the link below:

https://brainly.com/question/29664806

#SPJ4

Answer:

Step-by-step explanation:

m