Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP

Based on the dimensions of the shape, the area of the figure can be found to be 215 ft².

To find the area of the figure, you can divide the shape into two different shapes and then find the area of those shapes, and then sum them up to find the area of the entire figure.

As shown in the attached photo, you can divide the figure into two rectangles with the dimensions:

The areas are:

= 15 x 12

= 180 ft²

Second rectangle:

= 7 x 5

= 35ft²

The area of the figure is:

= 35 + 180

= 215 ft²

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i. cos 0 =  \(\sqrt{3}\)

ii. tan 0 = 1/ \(\sqrt{3}\)

Trigonometric functions are a set of given functions which are required in determining the value(s) of the sides or internal angle(s) of a given right angled triangle; when the value of one none right angle is given.

In the given question, we have;

sin 0 = 1/2

This implies that;

sin 0 = opposite/ hypotenuse = 1/2

So that;

opposite = 1

hypotenuse = 2

Apply the Pythagorean's theorem so as to determine its adjacent, we have;

adjacent = \(\sqrt{3}\)

Then,

cos 0 = adjacent/ hypotenuse

         =  \(\sqrt{3}\) / 1

cos 0 =  \(\sqrt{3}\)

ii. tan 0 = opposite/ adjacent

            = 1/  \(\sqrt{3}\)

tan 0 = 1/ \(\sqrt{3}\)

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Step-by-step explanation:

Hey there!

Given;

a1 = 6

and r = 3

Then;

Let's see, we have a1 "first term" and r "common ratio". So, firstly use the formula.

\(nth \: term \: of \: geometric \: sries = {a}^{} . {r}^{n - 1} \)

Now, keep all values.

\(nth = 6 \times {3}^{n - 1} \)

So, it becomes like this.

Therefore, the rule is nth= 6*3^n-1.

Hope it helps!

Answer:

b) 48

Step-by-step explanation:

25% is Quartile 1, which can be found on the outer left line on the rectangle. Since Q1 is hovering over 50, it would be safe to assume the answer is 48.

Answer: 1.78 repeating

Step-by-step explanation:

Answer:

1 7/9

Step-by-step explanation:

Hope this helps. Pls give brainliest.

When solving a real world problem to find a person’s age, a negative solution won't make sense because we can't have a negative age in this type of scenario.

This is defined as the amount or the duration of time an individual or organism has existed in a certain environment and is usually calculated from the day the person was given birth to.

When solving for age , a negative solution doesn't make sense because every organism has a positive age value and not a negative one. This is because as time goes on, we experience various forms of growth and ageing.

This is therefore the reason why it was chosen as the most appropriate choice.

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Answer:

Step-by-step explanation:

The eight in 6,084 is in the tenths place. Separately, it would be 80. The 8 in 9,821 is in the hundredths place. This one is worth 800. So the 8 in 9,821 is greater than the 8 in 6,084.

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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Answer:

4 and 2 are 65 vertical angles

8 and 6 ae 65 corresponding angles to 4 and 2

1 is 115 supplemental to 4

3 is 115 vertical

5 and 7 are 115 corresponding to 1 and 3.

Step-by-step explanation:

Answer: 16

Step-by-step explanation: 28÷7=4

                                             4×4   = 16

Answer:

Following are the description of the scissors:

Step-by-step explanation:

The tool is used to cut cloth, paper, and other materials. This refers to two blades placed one on each other and attached inside the middle to enable the thumbs and fingertips to opened and shut through hooks at the bottom of the handles.

It may be used to cut different thin materials, including papers, cartons, sheets, cloth, cloth, or wire. For specific needs a broad range of scissors and shears are available.

Step-by-step explanation:

Robert: 360/ 6 = 62 words per minute

Jocelyn: 525/ 5= 58 words per minute

Jocelyn types faster. I haven't done 5th grade math in so long... lol if wrong please correct me..

Answer:

3 with a remainder of 12

Step-by-step explanation:

If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available.

Mutually beneficial trades are the kind of trades that benefit both parties in a trade agreement. A mutually beneficial trade occurs when two countries or individuals trade and both benefit from the transaction. In the case where person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available. This is because person A would be more willing to trade his good Y for Person B’s good X since person A values good X more than good Y and person B would be more willing to trade his good X for person A’s good Y since person B values good Y more than good X. In this way, both parties would benefit from the transaction because they would be trading the goods they value less for the ones they value more.

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Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-10,10) and (-9,6)

The midpoint is

We have the final answer as

Hope this helps you

Answer:

x = 1/5 ,  and   x = - 1/5

Step-by-step explanation:

25x² – 1 = 0

5²x² - 1² = 0

(5x - 1)(5x + 1) = 0

5x -1 = 0,  5x + 1 = 0

x = 1/5 ,     x = - 1/5

Answer:

-2

Step-by-step explanation:

Notice that 1/e^2 = e^(-2), by power rules.

Now ln(e^x)=x.

So ln(1/e^2) = ln(e^(-2))=-2

Answer:

7g - 3

Step-by-step explanation:

2g + 15 + 3g + g + g - 18

2g + 3g + g + g + 15 - 18

7g - 3

Bottom-up beta is a cost-effective and flexible model that is used to estimate segment betas. There are numerous benefits of using bottom-up beta when compared to regression beta. The only disadvantage of using bottom-up beta is that it is prone to estimation errors, which may result in beta being underestimated or overestimated.

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Answer:

$90 profit

Step-by-step explanation:

1375 - 1285 = 90

Answer:

90profit

Step-by-step explanation:

Answer:

Soft tacos are $1.25 each, while double deckers are $2.5 each.

(I didn't have time for a step by step explanation at the moment)

Sorry

Last year, the profit for the clothing is - 1.8 million

Profit can be described as the gain gotten by an organization for the sale of a product.

The profit for last year is $2.3 million

This year the profit was 4.1 million

Therefore profit last year can be calculated as follows

= $2.3 million - $4.1 million

= - 1.8 million

Hence the the profit last year for the clothing is - 1.8 million

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To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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98% confidence interval for the mean of repeated measurements of the weight is (10.216, 10.244).

We need to average at least 460 measurements to get a margin of error of 0.005 with 98% confidence.

(a) To find a 98% confidence interval for the mean of repeated measurements of the weight, we can use the formula:

CI = X ± Zα/2 * (σ/√n)

where X is the sample mean, Zα/2 is the critical value from the standard normal distribution for a 98% confidence level (which is 2.33), σ is the population standard deviation, and n is the sample size.

Substituting the given values, we get:

CI = 10.230 ± 2.33 * (0.020/√40)

CI = 10.230 ± 0.014

The 98% confidence interval for the mean of repeated measurements of the weight is (10.216, 10.244).

(b) To find out how many measurements must be averaged to get a margin of error of 0.005 with 98% confidence, we can rearrange the formula for the confidence interval:

n = (Zα/2 * σ / E)²

where E is the margin of error and the other variables have the same meaning as before.

Substituting the given values, we get:

n = (2.33 * 0.020 / 0.005)²

n = 459.524

We round up to the nearest whole number because we cannot have a fractional sample size. Therefore, we need to average at least 460 measurements to get a margin of error of 0.005 with 98% confidence.

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Answer:

i think it's 3400:)

Step-by-step explanation:

15% of 4000 is 600

Hey There!!

Your best answer will be A.

Step-by-step explanation:

Because, The SAS stands for Side Angle Side if you need two sides and then the angle needs to be between them.

The first one works because the angle is in-between the 2 sides. The second one really doesn't work very well. Because, It actually have 2 angles and it only need one. Well, The third one it doesn't work because the angle isn't between from both sides. The fourth one doesn't work at all they are only sides and no angles. Hope This helps <3!!

At a significance level of 0.01, we can confidently state that the student's claim is true.

The hypothesis in this question can be stated as follows:

Null Hypothesis: H0: μ1 = μ2 (There is no difference between the mean of four-year college enrollment and two-year college enrollment.)

Alternative Hypothesis: H1: μ1 > μ2 (Mean enrollment of four-year colleges is greater than the mean enrollment of two-year colleges in the United States.)

The significance level (α) is given as 0.01, which represents the probability of rejecting the null hypothesis when it is actually true.

To calculate the test statistic, we can use the formula:

z = ((X1 - X2) - (μ1 - μ2)) / √((σ1² / n1) + (σ2²  / n2))

Substituting the given values:

z = ((6193 - 4305) - (0)) / √((598²  / 35) + (572²  / 35))

z = 10.33

Since this is a right-tailed test, we need to compare the test statistic with the critical value. At a significance level of 0.01, the critical value is 2.33.

The calculated test statistic (10.33) is greater than the critical value (2.33). Therefore, we reject the null hypothesis and conclude that there is enough evidence to support the claim that the mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

In conclusion, at a significance level of 0.01, we can confidently state that the student's claim is true. The mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

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Answer:

x=26°, y=26°, z=26°

Step-by-step explanation:

x+74=100 (the sum of linear pair)

x=100-74

x=26

x=y=26 (alternate angle)

y=z=26 (vertically opposite angle V.O.A)