a motorist drives at 100km/h. how many minutes will it take to travel d km?​

Option a. The car is 115.47 feet from the building is correct for the given right triangle.

A trigonometric formula known as the rule of sines connects any triangle's sides and angles. It claims that for all three sides of a triangle, the ratio of the length of one side to the sine of the angle opposite that side is the same. In other words, if a triangle has angles A, B, and C opposing its sides and sides a, b, and c, then:

If a/sin(A) = b/sin(B) = c/sin(C), then

If some of the other sides and angles of a triangle are known, this formula can be used to solve for those unknown sides or angles. However, it is restricted to triangles and calls for the measurement of at least one angle and one side's length.

The situation can be depicted as a right triangle, with building 200 feet, the angle of depression is 30 degrees.

Now,

tan(30) = opposite/adjacent = 200/distance

distance = 200/tan(30) ≈ 115.47 feet

Hence, option a. The car is 115.47 feet from the building is correct for the given right triangle.

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Answer: 12x-8y

Step-by-step explanation:

Answer: 19/23

Step-by-step explanation: 4/1=4 16/11=1 5/11 8/7=1 1/7 leaving 19/23 as the only fraction less than one.

The assessed value of your property is $128,000. A property's monetary value is evaluated. The assessed value is the price that was determined.

The assessed value is the calculated worth of a property used to set the applicable tax rates. In making its final decisions, an evaluation takes into account square footage, recent home sales, market conditions, and home inspection results.

The first computation is based on the assessed assessment rate and the market value of the property.

To find the assessed value of your property, you can use the formula:

assessed value = property taxes / property tax rate

Substituting in the values given, we get:

assessed value = $7424 / 0.058

Solving this equation, we find that the assessed value of your property is approximately $127,966.

The assessed value of your property is $128,000.

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x intercept = 0

y intercept = 0

i hope this helps! :D

Add £48.28 to £142 so you get £190.28

AnswerAnswerAnswerAnswer:

190.28

Step-by-step explanation:

£142 + 34% = £142 x 1.34 = 190.28

9 appears in all integers from 1 to 500, 95 times.

9 total from

1-9: 1 time

10-19: 1 time

20-29: 1 time

30-39: 1 time

40-49: 1 time

50-59: 1 time

60-69: 1 time

70-79: 1 time

80-89 : 1 time

among 90 and 99

Between 1991 and 1998, one will occur.

then in 1999, 2 9.

9 from 90 to 99 is 10, thus

9+10 = 19 is the total number of 9s from 1 to 99.

In 1 to 99, there are so 19 9s.

similarly

the following:

19 9's in 100 to 199

19 9's in 200 to 299

19 9's in 300 to 399

19 9's in 400 to 499

Total 9s will therefore be

19+19+19+19+19+19 = 95 times

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Answer:

19.5

Step-by-step explanation:

2 x 19.5 = 39 - 29 = 10 :D

The following statement is true: strong winds occur where isobars are closely spaced.

Isobars are lines on a weather map that connect points of equal atmospheric pressure. The spacing between isobars provides information about the pressure gradient, which is the change in pressure over a given distance. When isobars are closely spaced, it indicates a steep pressure gradient, which in turn leads to strong winds.

This is because air moves from areas of high pressure to areas of low pressure, and the greater the pressure difference, the faster the air will flow. Therefore, when isobars are closely spaced, it suggests a rapid change in pressure over a short distance, creating strong winds.

Regarding the other options:

- Isobars on a surface map are not necessarily drawn at 8mb intervals. The spacing between isobars can vary depending on the map and the purpose for which it is created.

- Atmospheric pressure increases towards the center of a high-pressure system, not a low-pressure system. In a high-pressure system, air descends and compresses near the surface, leading to higher pressure at the center.

- Atmospheric pressure decreases towards the center of a low-pressure system. In a low-pressure system, air rises and expands, causing lower pressure at the center.

Therefore, the true statement is that strong winds occur where isobars are closely spaced.

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Answer:

Step-by-step explanation:

ratio of pencil by ball pen

pencil=25 per score

ball pen =12 per 10

10 pens 12rs

12÷10=6/5

20 pencils 25rs

25÷20=5/4

ratio=6/5÷5/4

6/5×4/5

24/25

Answer:

1:5

Step-by-step explanation:

If a pack of 10 ball pens cost $12, then each ball pen must cost 12/10 = $1.20. The ratio of $0.25:$1.20 simplifies down to 1:5 (ans).

Answer:

x^2 - 6x + 9

Step-by-step explanation:

Yes, the equation C-1(A+X)B-1=In has a solution, X. To find the solution, first use C-1(A+X)B-1=In to simplify to C-1 AB-1=In+X. Next, use matrix multiplication to expand C-1AB-1 to In+X = AC-1B-1-B-1C-1. Subtract In from both sides of the equation to get X=AC-1B-1-B-1C-1-In. This is the solution for X, where A, B, and C are nan invertible matrices.

Given that A, B, and C are invertible nan matrices, we have to check if the equation C-1(A+X)B-1=In has a solution or not, and if there is a solution, we have to find X.

Let's solve it. Let's multiply both sides of the equation by B and C, respectively, we get C-1(A+X)B-1B = IB and C-1(A+X) = B. Now, we have to multiply both sides by C on the left, so we get C*C-1(A+X) = CB, which becomes A+X = CB.

Now we have to multiply both sides by B-1 on the right, so we get A + XBB-1 = CBB-1, which becomes A + XB-1 = CB-1.Now, we have to multiply both sides by C-1 on the left, so we get C-1A + C-1XB-1 = I.

Now, we have to multiply both sides by B and C, respectively, which results in C-1AC-1B + XC-1B = B. Finally, X = B(C-1AC-1B)B-1 - C-1B + I. We know that if A and B are matrices of the same order, then (AB)-1 = B-1A-1. By using this property, we can write the solution as X = B-1(A-1 + C-1)-1B-1 - C-1B + I. So, the solution exists for the given equation.

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From the given data 11 is the mean of the data set.

What is Mean ?

In statistics, the mean (also called the average) is a measure of central tendency that represents the typical value in a data set. It is calculated by adding up all the values in the data set and dividing by the number of values.

To find the value of x in the data set, we can use the formula for the mean (also called the average). The mean is calculated by adding up all the values in the data set and dividing by the number of values. In other words:

mean = (sum of all values) : (number of values)

We are given that the mean of the data set is 11, so we can write:

11 = (12 + 9 + 12.5 + 13 + x + 10 + 11 + 11 + 7 + 9) : 10

Here, we have 10 values in the data set (including the unknown value x), so we divide the sum of all the values by 10 to find the mean.

To solve for x, we can start by simplifying the right-hand side of the equation:

110 = 75.5 + x

Next, we can isolate x by subtracting 75.5 from both sides:

x = 34.5

Therefore, the value of x that makes the mean of the data set equal to 11 is x = 34.5.

In other words, if we replace the unknown value x with 34.5, the resulting data set will have a mean of 11. This means that the sum of all the values in the data set will be 110, since:

12 + 9 + 12.5 + 13 + 34.5 + 10 + 11 + 11 + 7 + 9 = 110

And when we divide this sum by 10, we get:

110 : 10 = 11

Therefore, From the given data 11 is the mean of the data set.

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Answer:

36900

Step-by-step explanation:

It's a linear function with equation P(t)=900+600*t. P(60)=900+600*60=36900

Answer:

36,900

Step-by-step explanation:

First do 600 times 60=36,000

Next add 900

36,000+900=36,900

theres your answer :)

The probability that the weight of a randomly selected steer is between 1379 and 1590lbs is P(1.39 < z < 1.80) = P(z < 1.80) - P(z < 1.39)

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X~N (1379,1590)

Where we know u = 1200 and a = \(\sqrt{90000}\) = 300

we need probability of

P (1379 < X < 1590)

now we can solve this using z = x-u/a

by using the above formula we get:

1590-1200/300 = P(1.39 < z < 1.8)

And we can find this probability using the normal standard table with this difference:

P(1.39 < z < 1.80) =

P(z < 1.80) - P(z < 1.39)

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These are the partial derivatives of the given functions with respect to x and y.

find the partial derivatives of each of the given functions with respect to x and y, while treating the other variable as a constant:

1. f(x, y) = -4xy + 2x

Partial derivative with respect to x: ∂f/∂x = -4y + 2

Partial derivative with respect to y:

∂f/∂y = -4x

2. f(x, y) = 5x²y + 3y² + 2

Partial derivative with respect to x:

∂f/∂x = 10xy

Partial derivative with respect to y:

∂f/∂y = 5x² + 6y

3. f(x, y) = (2x²)/(x²)

Partial derivative with respect to x:

∂f/∂x = 2

Partial derivative with respect to y:

∂f/∂y = 0 (Since y is not involved in the expression)

4. f(x, y) = (0.5y)/(y)

Partial derivative with respect to x:

∂f/∂x = 0 (Since x is not involved in the expression)

Partial derivative with respect to y:

∂f/∂y = 0.5(1/y) = 0.5/y

5. f(x, y) = ln(2x)/y

Partial derivative with respect to x:

∂f/∂x = (1/(2x))/y = 1/(2xy)

Partial derivative with respect to y:

∂f/∂y = -ln(2x)/(y²)

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The standard error of the sample mean is approximately 0.66 km, and the p-value for testing H₀: μY = 22 km vs. H₁: μY ≠ 22 km cannot be determined without additional information.

A survey was conducted in Jade City with a random sample of 144 people to gather data on the distance they travel to reach their workplaces. The sample average distance (Ȳ) was found to be 20.84 km, with a standard deviation (sȲ) of 7.96 km. To estimate the accuracy of the sample mean, we need to calculate the standard error, which measures the variability of the sample mean.

The standard error (SEȲ) of the sample mean is calculated by dividing the standard deviation (sȲ) by the square root of the sample size (n). In this case, since the sample size is 144, we can calculate the standard error as follows:

SEȲ = sȲ / √n = 7.96 / √144 = 7.96 / 12 = 0.6633 (rounded to two decimal places)

This means that the standard error of the sample mean of the distance people travel to reach their workplaces is approximately 0.66 km.

Moving on to hypothesis testing, we are testing the null hypothesis (H₀) that the population mean distance traveled to workplaces (μY) is equal to 22 km against the alternative hypothesis (H₁) that it is not equal to 22 km. The p-value of the test measures the probability of obtaining a sample mean as extreme or more extreme than the observed value, assuming the null hypothesis is true.

To determine the p-value, we would need additional information such as the test statistic or the critical value. Without that information, we cannot calculate the exact p-value in this context.

Therefore, the standard error of the sample mean is approximately 0.66 km, and the p-value for testing H₀: μY = 22 km vs. H₁: μY ≠ 22 km cannot be determined without additional information.

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Write an example from daily life that uses rational numbers .

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The x component of the vector is 16.24m

The components of a vector in two dimension coordinate system are the parts of vectors generated along the axes(x and y) and are considered to be x-component and y-component. It can be represented as, (Vx, Vy), where V is the vector.

The x component of a vector V is Vcos¢

where¢ is the angle of vector

the positive equivalent angle of - 96.3 is 83.7°

x component= 148cos 83.7

Vx= 16.24m

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Answer:

Step-by-step explanation:

length=1 m

base of triangle=10 m

height=5m

volume= 1/2×10×5×1=25 m cube.

slant height l=√(5²+5²)=√50=5√2

slant surface area=2[5√2×1]=10√2

area of front and back=2×1/2(10×5)=50

total surface area=50+10√2≈50+14.14≈64.14 m²

Answer:

im not really good at drawing but Can I ask a question can I help you with other questions?

Step-by-step explanation:

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient.

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient. This coefficient is a statistic that quantifies the internal consistency reliability of a scale or measure, specifically for measures with multiple items or indicators that are intended to measure the same underlying construct.

The coefficient ranges between 0 and 1, with higher values indicating greater internal consistency. Cronbach's alpha measures the extent to which the items in a scale or measure correlate with each other. It assesses how well the items are measuring the same underlying construct or concept.

In other words, the coefficient represents the proportion of variance in the observed scores that can be attributed to the true score, rather than measurement error or other extraneous factors. It indicates the degree to which the items in the measure are interrelated or consistent with each other, with higher values suggesting stronger internal consistency.

Researchers often use Cronbach's alpha to assess the reliability of scales in various fields, such as psychology, education, and social sciences, to ensure that the measure is measuring the construct consistently and accurately.

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Answer:

78m

Step-by-step explanation:

6942 ÷ 89 = 78, here you go!

The point of concurrency determined by the three altitudes of any triangle is called the orthocenter of the triangle.

The orthocenter is the intersection of the three altitudes of the triangle. It is a point on the plane of the triangle that is equidistant from the three sides of the triangle.

To find the orthocenter of a triangle, you can draw the altitudes of the triangle and find the point where they intersect. The orthocenter is the point of concurrency for the three altitudes.

An orthocenter of a triangle is a point where the three lines that are perpendicular to the sides of the triangle intersect. These lines are called altitudes of the triangle.

Alternatively, you can use the following formula to find the coordinates of the orthocenter:

Let's say that the vertices of the triangle are A(x1, y1), B(x2, y2), and C(x3, y3). The coordinates of the orthocenter (H) can be found using the following formula:

Hx = ( (y1 - y3) (x1^2 + y1^2 - x3^2 - y3^2) - (y1 - y2) (x1^2 + y1^2 - x2^2 - y2^2) ) / (2 * (y1 - y3) - 2 * (y1 - y2))

Hy = ( (x1 - x3) (x1^2 + y1^2 - x3^2 - y3^2) - (x1 - x2) (x1^2 + y1^2 - x2^2 - y2^2) ) / (2 * (x1 - x3) - 2 * (x1 - x2))

Therefore, The point of concurrency determined by the three altitudes of any triangle is called the orthocenter of the triangle

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The integer variable bonus is assigned a value based on the value of the integer variable score

score > 100 implies bonus = 10 * score

score between 50 and 100 implies bonus = score

score < 50 implies bonus = 0

First, we need to analyze the conditions:

score > 100 implies bonus = 10 * score

score between 50 and 100 implies bonus = score

score < 50 implies bonus = 0

Writing the above as programming instructions, we have:

if(score > 100){//This represents the first condition

bonus = 2 * score;

}

else if(score >=50 && score<=100){//This represents the second

bonus = score;

}

else{//This represents the last condition

bonus = 0;

}

Hence, if score > 100 implies bonus = 10 * score

score between 50 and 100 implies bonus = score

score < 50 implies bonus = 0

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Answer:

(8,7)

Step-by-step explanation:

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

(10+6)/2 = 16/2 = 8

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

(5+9)/2 = 14/2 = 7

The coordinate of the midpoint is (8,7)

Answer:

+0.25

Step-by-step explanation:

Calculation to determine the drift of such a process

Using this formula

Drift=(Increases in stock price*50%)- (Decreases in stock price *50%)

Let plug in the formula

Drift = (0.5)(1.25) + (0.5)(-0.75)

Drift =0.625+ (0.375)

Drift = +0.25%

Therefore the drift of such a process is +0.25

Rotation is the rigid type of transformation which is equivalent to the two reflections across intersecting lines.

Therefore, the rigid type transformation which is equivalent to two reflection across the intersecting lines is called rotation.

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Answer:

y = -7

Step-by-step explanation:

A horizontal line has an equation of the form

y = b,

where b = y-intercept

The y-intercept is -7, so the equation is

y = -7

Answer:

Y=-7

Step-by-step explanation:

No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).