I need help!!! I’ll mark you brainliest
This is timed!!

The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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Using the concept of equations, it will take Maahum 11 weeks to save enough money to buy the new bike by saving $20 per week.

To find out how long it will take Maahum to save enough money for her new bike, we can set up an equation.

Let's assume she needs to save x weeks to reach her goal.

Given:

Amount saved per week = $20

Cost of the new bike = $470

Amount she received as a bursary = $250

Total amount she needs to save = Cost of the new bike - Bursary amount

Total amount she needs to save = $470 - $250 = $220

Now, we can set up the equation:

Amount saved per week * Number of weeks = Total amount she needs to save

$20 * x = $220

Let's solve the equation above;

x = $220 / $20

x = 11

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Answer:

y=2x+16

Step-by-step explanation:

finally got it lol

Answer:

24°

Step-by-step explanation:

Check file attatched! :D

(sorry for sloppy/etc writing haha, it's hard with a mouse lol)

\(\\ \sf\longmapsto <CBD=<ABD=96°\)

Now

\(\\ \sf\longmapsto m<EBD=\dfrac{1}{2}m<CBD\)

\(\\ \sf\longmapsto m<EBD=\dfrac{96}{2}\)

\(\\ \sf\longmapsto m<EBD=48\)

By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

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Answer:

18.3

Step-by-step explanation:

brainlieast plz

Answer:

55 units^2

Step-by-step explanation:

Ooo, this is a fun one!

So, firstly, let's find the area of the rectangle. The area of a rectangle is length*width. We can see that the length is 9, and the width is 5. So the area of the rectangle is 45 units^2.

The area of a triangle is (length*width)/2

To find the length and width of the triangle, we need to subtract 9 from 13 (this will find the side to the right of the triangle) and the top side of the triangle will be 5, as we can see from the top side of the rectangle. Since 13 - 9 = 4, we can see that width = 5 and length = 4.

(4*5)/2 = 10

So the area of the triangle is 10 units^2

Adding the two areas together, we get 55 units^2

Hope this helped!

The value of ∫30(12f(x)−3g(x))dx is 129.

Now, let's move on to the expression we need to evaluate. We have to find the value of ∫30(12f(x)−3g(x))dx. We can use the linearity property of definite integrals to split the integral into two separate integrals:

=> ∫30(12f(x))dx - ∫30(3g(x))dx.

Using the linearity property of definite integrals, we can write

=> ∫60(12f(x))dx as 12∫60f(x)dx, and

=> ∫03(3g(x))dx as 3∫03g(x)dx.

Substituting the values given in the problem, we get

=> 12∫60f(x)dx = 12(9) = 108,

and

=> 3∫03g(x)dx = 3(-7) = -21.

Finally, we can add the values of these two integrals to get the value of the original expression.

Therefore,

=> ∫30(12f(x)−3g(x))dx = ∫60(12f(x))dx - ∫30(3g(x))dx = 108 - (-21) = 129.

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Qualitative data include the eye color of students involved in after-school activities and the characteristics of various types of birds.

So,

Therefore, qualitative data include the eye color of students participating in after-school activities as well as the characteristics of various bird species.

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Answer: rectangle

Step-by-step explanation:

When taking a cross section parallel to the base, the cross section will be the same shape as that of the base.

Answer: \(-7.60,\ -4.47\)

Step-by-step explanation:

Given

\(f(x)=-1.3x^2-15.7x-44.2\)

The solution of the standard quadratic equation \(ax^2+bx+c=0\) has solution

\(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

Applying the above principle

\(\Rightarrow x=\dfrac{15.7\pm\sqrt{(-15.7)^2-4(-1.3)(-44.2)}}{2(-1.3)}\\\\\Rightarrow x=\dfrac{15.7\pm\sqrt{246.49-229.84}}{-2.6}\\\\\Rightarrow x=\dfrac{15.7\pm \sqrt{16.65}}{-2.6}\\\\\Rightarrow x=\dfrac{15.7\pm 4.08}{-2.6}\\\\\Rightarrow x=-7.60,\ -4.47\)

The zeroes of the equation are -7.60, -4.47.

\(cos \: k = \frac{adj}{hyp} = \frac{5}{13} \)

//

I'm unsure about what to do after that but you can:

\(cos( \frac{5}{13} ) = 0.999977469\)

\(cos \: k = 1.00\)

or

\( \frac{5}{13} = 0.384615385\)

\( = 0.38\)

I think the first one's safer.

The perimeter of a figure is the distance along the edges of the figure

then,

Answer:

\(Sin ~0 =\frac{2\sqrt{5} }{5}\)

Step-by-step explanation:

\(sec0=\sqrt{5}\)

\(cos~0=\frac{1}{sec0} =\frac{1}{\sqrt{5} }\)

\(sin ~0=\sqrt{1-cos^2~0}\)

\(=\sqrt{1-1/5}=\sqrt{5-1/5}\)

\(Sin~0=\sqrt{4/5} =2/\sqrt{5}*\sqrt{5}/\sqrt{5}\)

\(Sin~0=2\sqrt{5}/2=2\sqrt{5}/5\)

--------------------------------

hope it helps...

have a great day!!!

Answers:

Depending on your teacher, you may or may not have to input the word "degrees" or the degree symbol.

============================================================

Explanation:

We use the remote interior angle theorem.

This says to add two interior angles, and the sum is equal to the exterior angle that is not adjacent to any of the interior ones. Hence the "remote".

(angle CAB) + (angle ABC) = exterior angle

(6x+2) + (9x-12) = 50

15x-10 = 50

15x = 50+10

15x = 60

x = 60/15

x = 4 is the first answer

We can then find the interior angles

angle CAB = 6x+2 = 6(4)+2 = 24+2 = 26 degrees is the second answer

angle ABC = 9x-12 = 9(4)-12 = 36-12 = 24 degrees is the third answer

Then notice how 26+24 = 50 to help confirm the answers.

Answer:

Step-by-step explanation:

Remark.

Equation

6x + 2 + 9x - 12 = 50                      Combine like terms

Solution

6x + 9x + 2 - 12 = 50                       Combine

15x - 10 = 50                                    Add 10

15x - 10 + 10 = 50 + 10                     Combine

15x = 60                                           Divde by 15

15x/15 = 60/15

x = 4

<CAB = 6x + 2

<CAB = 6*4 + 2

<CAB = 26

<CBA = 9x - 12

<CBA = 9*4 - 12

<CBA = 24

Answer

<CAB = 26

<CBA = 24

===================================================

Work Shown:

L = length = 2 cm

W = width = 2 cm

H = height = 3 cm

SA = surface area of rectangular prism (aka rectangular block)

SA = 2*(LW + LH + WH)

SA = 2*(2*2 + 2*3 + 2*3)

SA = 2*(4+6+6)

SA = 2*(16)

SA = 32 square cm

By the AA similarity theorem, we can conclude that triangles FGH and FPQ are similar.

To prove that triangles FGH and FPQ are similar, we need to show that their corresponding angles are congruent and their corresponding sides are proportional.

Angle F in triangle FGH corresponds to angle F in triangle FPQ

Angle H in triangle FGH corresponds to angle Q in triangle FPQ

Angle G in triangle FGH corresponds to angle P in triangle FPQ

From the problem, we know that angle F = 63 degrees and angle H = 30 degrees. We also know that angle GPQ = 93 degrees, which means angle G + angle P = 93 degrees. Therefore, angle G = 93 degrees - angle P

Using the fact that the sum of angles in a triangle is 180 degrees, we can find angle Q:

Angle FGH: angle F + angle G + angle H = 63 degrees + (93 - angle P) + 30 degrees = 186 - angle P degrees

Triangle FPQ: angle F + angle P + angle Q = 180 degrees

Therefore, angle Q = 180 - angle F - angle P = 117 - angle P degrees

Now, we can compare the corresponding sides:

Side FG in triangle FGH corresponds to side FQ in triangle FPQ

Side GH in triangle FGH corresponds to side PQ in triangle FPQ

Side FH in triangle FGH corresponds to side PQ in triangle FPQ

To show that these sides are proportional, we can use the Angle-Angle (AA) similarity theorem and We already know that angle F in triangle FGH corresponds to angle F in triangle FPQ, and angle G in triangle FGH corresponds to angle P in triangle FPQ. We just showed that angle Q in triangle FPQ corresponds to angle H in triangle FGH. Therefore, we have two pairs of corresponding angles that are congruent.

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Answer:

yes, true

Step-by-step explanation:

Answer:

the answer is true because they dont intersect

Step-by-step explanation:

The linear trend models estimated from 10 years of quarterly data can be enhanced by incorporating seasonal dummy variables \(d_{2}\) and \(d_{3}\), where d₁ =1 for quarter 1 and 0 for all other quarters. These dummy variables help capture the seasonal patterns and improve the accuracy of the trend model.

In time series analysis, it is common to observe seasonal patterns in data, where certain quarters or months exhibit consistent variations over time. By including seasonal dummy variables in the linear trend model, we can account for these patterns and obtain a more accurate representation of the data.

In this case, the seasonal dummy variables \(d_{2}\) and \(d_{3}\) are introduced to capture the seasonal effects in quarters 2 and 3, respectively. The dummy variable \(d_{1}\) is set to 1 for quarter 1, indicating the reference period for comparison.

Including these dummy variables in the trend model allows for a more detailed analysis of the seasonal variations and their impact on the overall trend. By estimating the model with and without these dummy variables, we can assess the significance and contribution of the seasonal effects to the overall trend.

In conclusion, incorporating seasonal dummy variables in the linear trend model enhances its ability to capture the seasonal patterns present in the data. This allows for a more comprehensive analysis of the data, taking into account both the overall trend and the seasonal variations.

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If two hundred liters of a punch that contains 35% fruit juice is mixed with 300 liters of another punch and the resulting fruit punch is 20% fruit juice, then the percent of fruit juice in 300 liters of punch is calculated to be 10%.

The percentage of fruit juice in 300 liters of punch can be calculated by forming a linear equation.

A linear equation also termed a first-degree equation is an equation with one or more variables that have the highest power of one.

A linear equation for this problem can be given as:

the volume of the first punch × percentage of fruit juice in the first punch + the volume of the second punch × percentage of fruit juice in the second punch = total volume × total percentage of fruit juice

Consider x = percentage of unknown fruit juice

Now add the given values in the equation:

200 × 35 + 300(x) = 500 × 20

7000 + 300(x) = 10000

300(x) = 10000 - 7000

300(x) = 3000

x = 3000 / 300

x = 10%

Hence, the percentage of fruit juice in 300 liters of punch is calculated to be 10%.

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(a) Point Estimate: A point estimate is a single value that is used to estimate an unknown population parameter based on sample data. It provides an estimate or approximation of the true value of the parameter of interest. For example, the sample mean is often used as a point estimate for the population mean.

(b) Confidence Interval: A confidence interval is a range of values that is constructed using sample data and is likely to contain the true value of the population parameter with a certain level of confidence. It provides an estimate of the precision or uncertainty associated with the point estimate. The confidence interval is typically expressed as an interval estimate with an associated confidence level. For example, a 95% confidence interval for the population mean represents a range of values within which we are 95% confident that the true population mean lies.

(c) Level of Confidence: The level of confidence is the probability or percentage associated with a confidence interval that indicates the likelihood of the interval containing the true population parameter. It represents the degree of confidence we have in the estimation. Commonly used levels of confidence are 90%, 95%, and 99%. For example, a 95% confidence level implies that if we were to construct multiple confidence intervals using the same method, approximately 95% of those intervals would contain the true population parameter.

(d) Margin of Error: The margin of error is a measure of the uncertainty or variability associated with a point estimate or a confidence interval. It indicates the maximum amount by which the point estimate may deviate from the true population parameter. The margin of error is typically expressed as a range or interval around the point estimate. It depends on factors such as the sample size, variability of the data, and the chosen level of confidence. A smaller margin of error indicates a more precise estimate.

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Answer:

(a) 1.353 x 10^9

Step-by-step explanation:

Jumping 9 places back to obtain standard form

Answer:

please put the number of yellow buttons if you can

thank you.

Answer:

100 pieces

Step-by-step explanation:

11/220 = 5/x

1100=11x

x=100

Answer:

3\10........................

Answer:

78°F

Step-by-step explanation:

75.5°F on Saturday...

75.5 + 6 = 81.5 on Sunday

81.5 - 3.5 = 78°F on Monday

The expression that represents the temperature change is

N = L + 6°F + 3.5°F

The temperature on Monday is 85°F.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Temperature:

Saturday = L= 75.5°F ______(1)

Sunday = M = Rose by 6°F

M = L + 6 _____(2)

Monday = N = Dropped by 3.5°F

N = L + 6 - 3.5 _____(3)

The expression that represents the temperature change:

From (1), (2), and (3) we get

N = L + 6°F + 3.5°F

The temperature on Monday:

N = 75.5 + 6 + 3.5

N = 85°F

Thus,

The expression that represents the temperature change is

N = L + 6°F + 3.5°F

The temperature on Monday is 85°F.

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The crime that John has committed in this scenario is embezzlement.

Embezzlement is the act of wrongfully taking or misappropriating funds or property entrusted to one's care, typically by an individual in a position of trust or responsibility. In this case, John, as a cashier for QwikStop, is lawfully in possession of the store's cash register and the money within it.

By taking the $100 bill from the register and placing it in his pocket, John has misappropriated the funds for his personal use. This action constitutes embezzlement because he has converted someone else's property (the store's money) that he was lawfully in possession of.

Other crimes mentioned in the options are not applicable in this scenario. Burglary typically involves the unlawful entry into a building with the intent to commit a crime. Forgery involves falsely making or altering a document. False pretenses involves obtaining property by knowingly making false representations.

Larceny involves the unlawful taking and carrying away of someone else's property without their consent. None of these crimes accurately describe John's actions of taking money from the cash register while lawfully in possession of it, making embezzlement the correct classification for his offense.

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