Given the lengths of sides XY and XZ as shown in triangle XYZ below, what is the length of side YZ?

a. 5√13

b. 12

c. √194

d. 18

e. 5√5

high length:6mletngh of shadow =2~3mø is angle ofelevation

Step-by-step explanation:

hope it helps

The Scale of the drawing is the ratio of the length of the soccer field in the drawing to the actual length of the soccer field.

Let x be the scale of the drawing. We have:

232 mm / x = 116 m

To solve for x, we need to convert the units so that they are the same on both sides of the equation. There are 1000 millimeters in 1 meter, so:

232 mm / x = 116 m * 1000 mm/m

232 mm / x = 116000 mm/m

x = 232 mm / 116000 mm/m

x = 0.002

Therefore, the scale of the drawing is 0.002.

In other words, every millimeter in the drawing represents 0.002 meters in real life. This means that if you measure any distance in the drawing and multiply it by 0.002, you will get the actual distance in meters.

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We want to find the value of x.

Since this is a right triangle, we can use trig functions.

We know the opposite side from 70 degrees and we want to find the adjacents side, so we will use tangent

tan 70 = opp side /adj side

tan 70 = 12 /x

x tan 70 = 12

x = 12 / tan 70

x=4.36764

Answer:

4

Step-by-step explanation:

If the slope is 0, the line is horizontal and the y-coordinate is 4 for all x values.

Thus the missing y-coordinate is 4.

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

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Answer:

First option

Step-by-step explanation:

First, Solve the inequality:

Find the inequality that matches the solution:

Answer: True

Step-by-step explanation:

-The f-distribution curve is positively skewed towards the right with a range of 0 and ∞

The value of F is always positive or zero. It never has negative values.

The coefficient of determination measures the fraction of variability in the values of y that is explained by the least-square regression of y on x.

The fraction of variance of the regressand y cannot be explained, i.e., which is not correctly predicted by the explanatory variables x.

Fraction of variance forms the ratio of mean squared prediction error over the total variance of the response (except subtracting off an estimate of trial-to-trial variability from both) and subtracts this ratio from one.

Regression involves the determination of the degree of relationship in the patterns of variation of two or more variables through the calculation of the coefficient of correlation, r.

Therefore the fraction of the variation in the values of a response y that is explained by the least-squares regression of y on x is the coefficient of determination.

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 The total equity for Wonderpillow is £193,110.

Equity represents the residual interest in the assets of a business after deducting liabilities. To calculate the total equity, we need to subtract the total liabilities from the total assets.

Given:

Long-term liabilities = £100,000

Non-current assets = £289,770

Current assets = £124,400

Current liabilities - current assets = £3,340

First, we calculate the total liabilities:

Total liabilities = Long-term liabilities + (Current liabilities - current assets)

Total liabilities = £100,000 + (£3,340)

Total liabilities = £103,340

Next, we calculate the total equity:

Total equity = Total assets - Total liabilities

Total equity = Non-current assets + Current assets - Total liabilities

Total equity = £289,770 + £124,400 - £103,340

Total equity = £310,830 - £103,340

Total equity = £207,490

Therefore, the correct answer is not listed among the options provided. The total equity for Wonderpillow is £207,490, which is not included in the given choices

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Answer:

5/6

Step-by-step explanation:

Step 1:  Determine the total number of four-sided shapes:

We know that pentagons are five-sided, triangles are three sides and trapezoids are four-sided.  However, pentagons have at least five sides and therefore we include them since they have at least four sides.  Thus, there are 15 four-sided shapes present among all the shapes Tracy has as 7 + 8 = 15.

Step 2:  Determine the total number of shapes present:

Now we must add up the total number of shapes Tracy has:

7 + 3 + 8

10 + 8

18

Thus, Tracy has a total of 18 shapes.

Step 3:  Divide the total number of four-sided shapes by the total number of shapes to determine probability of picking a four-sided shapes:

15/18

5/6

Thus, the probability that Tracy picks a shape with at least four sides is 5/6.

If this answer is wrong, it is possible that your teacher wants to know the probability of picking a shape with only four sides.  Then you'd write 4/9 as you'd only include the trapezoids since only they have just four sides while the pentagons also have four sides but also an additional side:

Answer:

15 months

Step-by-step explanation:

y represents the total cost in the equation. The words per month tells you that is where the x will go. 75 doesn't change you have to pay it no matter what so it will not have the x with it.

y = 15x + 75

To solve, plugin 300 for y, then solve for x.

300 = 15x + 75

300 - 75 = 15x + 75 - 75

225 = 15x

225/15 = 15x/15

x = 15 months

Based on the diagram presented, it can be concluded that for every 1 cup of fruit juice, 1.2 cups of iced tea and 0.6 cup of sugar are used.

The diagram shows the three ingredients required to prepare a pitcher of fruit tea and the amount of the ingredients required.

Ingredients required:

Fruit juce: 2.5 cups

Sugar: 1.5 cups

Iced tea: 3 cups

Let's use the rule of three to find the answer:

Sugar required:

2.5 cups = 1.5 cups

1 cup  = x

x= 1.5 / 2.5 = 0.6 cups

Iced tea required:

2.5 cups = 3 cups

1 cup  = x

x = 3 / 2.5 = 1.2

Note: Here you can find the missing diagram:

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Answer:

36.5

Step-by-step explanation:

The pattern was the difference of one day and the next doubled

The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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Answer:

The associative property of multiplication

 8 . ( 5. b ) = ( 8. 5) . b

Step-by-step explanation:

Explanation

The associative property of multiplication

 a . ( b. c ) = ( a. b) . c

Given numbers are  8, 5 and b

The associative property of multiplication

 8 . ( 5. b ) = ( 8. 5) . b

 8 . ( 5. b ) = ( 8. 5) . b = 40 b

Answer:

y=−3/2x−1

Step-by-step explanation:

hope this helps brainliest appreciated

Answer:

$6.30

Step-by-step explanation:

From the above question, we are to find the price.

This is calculated as:

Wholesale price + (Whole sale price + %Mark up)

Whole sale price = $4.50

% Mark up = 40%

Therefore:

The price = $4.50 + ($4.50 × 0.4)

= $4.50 + $1.80

= $6.30

The price in the department is $6.30

The question asks whether a sample of 500 cars with a mean weight of (1000 + B) Kg can be considered as a reasonable sample from a larger population of cars with a mean weight of 1500 Kg and a standard deviation of 130 Kg.

The test is to be conducted at a 5% level of significance. To determine if the sample can be regarded as representative of the larger population, a hypothesis test can be performed. The null hypothesis (H0) would state that the sample mean is equal to the population mean (μ = 1500 Kg), while the alternative hypothesis (H1) would state that the sample mean is not equal to the population mean (μ ≠ 1500 Kg). Using the given information about the sample mean, the sample size (500), the population mean (1500), and the population standard deviation (130), a test statistic can be calculated. The test statistic is typically the Z-score, which is calculated as (sample mean - population mean) / (population standard deviation / √sample size).

The calculated test statistic can then be compared to the critical value from the Z-table or using statistical software. Since the test is to be conducted at a 5% level of significance, the critical value would be chosen based on a two-tailed test with an alpha level of 0.05.

If the calculated test statistic falls within the range of the critical values, we would fail to reject the null hypothesis and conclude that the sample can be reasonably regarded as a representative sample from the larger population. If the calculated test statistic falls outside the range of the critical values, we would reject the null hypothesis and conclude that the sample is not representative of the larger population.

Performing the specific calculations requires substituting the values of B and the given information into the formulas and consulting the Z-table or using statistical software to obtain the test statistic and critical values.

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Answer:

IMQOEK

Step-by-step explanation:

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

\(WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}\)

Since triangle WXY is Isosceles, \(\angle XYW=45^\circ\)

\(\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ\)

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

\(WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7\)

The value of a in the triangle illustrated is 7.

From the information, the length of WY will be:

WY = ✓4² + ✓4²

WY = ✓32

Therefore, angle WYZ will be:

= 135° - 45°

= 90°

Therefore, the value of a will be calculated thus:

a² = 9² - (✓32)²

a² = 81- 32

a = ✓49

a = 7

In conclusion, the value of a is 7.

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Answer:

Subtracts 12-4

Step-by-step explanation:

3x+4=12

you will move 4 to the other side to make it 12-4 it is minus because the sign changes when you move it.

Answer:

105°

Step-by-step explanation:

Bya angle sum property of triangle

40+35+x=180

x= 180-75

x= 105°

Hope it helps you

Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.

According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.

In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:

Small effect: d = 0.2

Medium effect: d = 0.5

Large effect: d = 0.8

Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.

Therefore, the correct answer is a. small.

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Answer:

-10

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

10^2=6^2+x^2

100=36+x^2

100-36=x^2

64=x^2

square root of 64 is 8

Answer:

h²=p²+b²

10²=6²+x²

100-36=x²

x=√64=8

The volume of the cone is 1271.7 cubic units.

A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.

Given:

A cone has a diameter of 18 units and a slant height of 15 units.

That means the radius of the cone is 9 units.

The volume of the cone = (1/3)hπr²

The volume of the cone = (1/3)(15)(3.14)(9)²

The volume of the cone = 1271.7 cubic units.

Therefore, the volume is 1271.7 cubic units.

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The cost of each printer is $568.

To find the cost of each printer, we need to use a system of equations.

Let's call the cost of each printer "p" and the cost of each camera "c".

The first equation we can create is: 6p + 3c = 4773

The second equation we can create is: 4p + 6c = 5002

Now we can use the elimination method to solve for one of the variables.

Let's eliminate the "c" variable by multiplying the first equation by -2: -12p - 6c = -9546

And then add the two equations together: -8p = -4544

Now we can solve for "p" by dividing both sides by -8: p = 568

So the cost of each printer is $568.

To find the cost of each camera, we can plug the value of "p" back into one of the original equations and solve for "c":

6(568) + 3c = 4773

3408 + 3c = 4773

3c = 1365

c = 455

So the cost of each camera is $455.

Therefore, the cost of each printer is $568 and the cost of each camera is $455.

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Answer:

Step-by-step explanation:

-6*p ---> -6*5=-30

23 - 25<---5*5

p is 5

-30 - (-2)=-28

The probability of pulling out 3 marbles of the same color without replacement is 1/27.

Let's say there are 9 marbles in the bag, and 3 of them are the same color. The probability of pulling out the first marble of the same color is 3/9. Once we've pulled out the first marble, there are only 8 marbles left, and 2 of them are the same color. So, the probability of pulling out the second marble of the same color is 2/8. And finally, the probability of pulling out the third marble of the same color is 1/7.

We can multiply these probabilities together to get the probability of pulling out 3 marbles of the same color without replacement:

P(3 marbles of the same color) = 3/9 * 2/8 * 1/7 = 1/27

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The probability of pulling out 3 marbles of the same color without replacement is 1/27.

Let's say there are 9 marbles in the bag, and 3 of them are the same color. The probability of pulling out the first marble of the same color is 3/9. Once we've pulled out the first marble, there are only 8 marbles left, and 2 of them are the same color. So, the probability of pulling out the second marble of the same color is 2/8. And finally, the probability of pulling out the third marble of the same color is 1/7.

We can multiply these probabilities together to get the probability of pulling out 3 marbles of the same color without replacement:

P(3 marbles of the same color) = 3/9 * 2/8 * 1/7 = 1/27

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