17. The base of a parallelogram is 10 meters. The height is one fourth of the base. Find the area of the parallelogram.

pleaaeee help
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Assuming that the variable h is the same for each figure, the figures from the least to the greatest is:

The value of h is the same for all the shape so assume the value of h is 2 units.

The volume of a cylinder is:

= πr²h

First cylinder area:

= 22/7 x 3 x 2

= 56.54867 units

The second cylinder area:

= 22/7 x 6 x 2

= 226.19467 units

The volume of a cone is:

= πr²h/3

First cone volume:

= 22/7 x 3 x 2/3

= 18.84956 units

Second cone volume:

= 22/7 x 6 x 2/3

= 75.39822 units

The order is therefore:

Cone with radius of 3 units < Cylinder with radius of 3 units < Cone with radius of 6 units < Cylinder with radius of 6 units

In conclusion, the shapes with the larger radius of 6 units will have more volume.

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Answer:

-0.6000

Step-by-step explanation:

sin² A + cos² A = 1

sin² A = 1 - Cos² A

= 1 - (4/5)²

= 1 - 0.64

= 0.36

sin A = sqrt 0.36 = 0.6

in quadrant IV sin is negative

sin A = -0.6000

Answer: 0.54

Step-by-step explanation:

0.03 times 3 times 6 =0.54

Answer:B.Sample space

Step-by-step explanation:

Answer:

p - 0.25p

1.25p

Answer:

(3x+2) (x+5)

Step-by-step explanation:

3x²+17x+10

SPLITTING OF MIDDLE TERM

3x²+15x+2x+10

COMMON FACTOR FROM PAIRS

3x(x+5) + 2(x+5)

= (3x+2)(x+5)

Answer:

  (6, 2/7)

Step-by-step explanation:

You want the coordinates of the hole in the graph of (n² -10n +24)/(n² -5n -6).

Simplifying the given rational expression, we have ...

  \(\dfrac{n^2-10n+24}{n^2-5n-6}=\dfrac{(n-6)(n-4)}{(n-6)(n+1)}=\dfrac{n-4}{n+1}\quad n\ne6\)

At n = 6, the simplified expression is ...

  (6 -4)/(6 +1) = 2/7

The hole is located at (6, 2/7).

__

Additional comment

Even though the factor (n-6) in the denominator cancels the one in the numerator, the function remains undefined there. Hence the "hole". If there were no corresponding numerator factor at that point, there would be another vertical asymptote at n=6.

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Answer:

y = (1/2) x

Step-by-step explanation:

hope this helps!

Answer: 4,2,3,1,5,6

Step-by-step explanation:

Plato

Answer:

150 square inches

Step-by-step explanation:

In a parallelogram opposite sides are parallel and equal.

   Perimeter = sum of all sides

    2x + 11 + x + 2x + 11 + x = 64

    2x + x + 2x +x + 11 + 11  = 64

Combine like terms,

                        6x + 22    = 64

                                   6x = 64 - 22

                                   6x = 42

                                     x = 42÷ 6

                                        \(\sf \boxed{\bf x = 7}\)

base = 2x + 11

        = 2*7 + 11

        = 14 + 11

        = 25 in

height = 6 in

       Area of parallelogram = base * height

                                              = 25 * 6

                                              = 150 square inches

Answer:

$40

Step-by-step explanation:

because i do rsm too

You can start by determining all common factors between the like terms (27 with 18; u with u; v with v).

Now, do 27 and 18 have common factors? Yes --> that would be the 9

You can simplify that term to \(-\frac{3}{2}\)

Do \(u^2\) and \(u^4\) have common factors? Yes --> \(u^2\)

You can simplify that term to \(\frac{1}{u^2}\)

Do \(v^3\) and \(v^5\) have common factors? Yes --> \(v^3\)

You can simplify that term to \(\frac{1}{v^2}\)

As the final step, you can times all those final terms together to reach your answer as     -\(-\frac{3}{2u^2v^2}\)

Hope this helped a lot :)

The number of weeks it will take them to save the same amount of money is 8 weeks.

Sharon started with $42 in her bank account and added $16 per week. Neil started out $70 in debt and deposited $30 per week.

The number of weeks the both of them will save the same amount is as follows:

Hence,

let

Therefore,

total amount in Sharon's account = 42 + 16w

total amount in Neil's account = - 70 + 30w

Hence,

42 + 16w =  - 70 + 30w

42 + 70 = 30w - 16w

112 = 14w

divide both sides by 14

w = 112 / 4

w = 8

Therefore, they will save the same at 8 weeks.

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Gender is the independent variable (IV) and Galvanic Skin Response (GSR) is the dependent variable (DV). This means that you are investigating how differences in gender might affect the GSR.

So, the correct is A. Gender: GSR

Gender, as the IV, refers to the classification of individuals as male, female, or other, while GSR, as the DV, is a physiological measure of emotional arousal, often used in psychological research.

By examining the relationship between these two variables, you aim to determine whether variations in gender have any impact on GSR levels.

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Answer:

Step-by-step explanation:

If student ticket = 215 then 215 x 3 = 645$

Remaining tickets = 522 - 215 = 307

So adult tickets = 307 x 4 = 1228$

Total amount = 1228 + 645 = $1873

Answer:

$1, 512

This is how:

1) Michael works 28 hours in one week. So how many hours does he work in 6 weeks?

So you need to calculate : 28 × 6 = 168

SO THIS IS THE TOTAL NUMBER OF HOURS FOR 6 WEEKS.

2) because Michael gets paid $9 PER HOUR :

You will need to multiply the amount of money he receives with the total number of hours he works.

168 × 9 = $ 1, 512

He earns $1,512 in 6 weeks

If Ariana removes the $4,800 rent from the set, the mean and median of the remaining rents will decrease because $4,800 is a very high value compared to the other rents.

Before removing the $4,800 rent, the mean can be calculated by adding up all the rents and dividing by the total number of rents (5):

Mean = (1,000 + 1,200 + 1,300 + 1,400 + 4,800) / 5 = 2,540

The median is the middle value in the set, which is 1,300.

After removing the $4,800 rent, the new mean can be calculated by adding up the remaining rents and dividing by the new total number of rents (4):

New Mean = (1,000 + 1,200 + 1,300 + 1,400) / 4 = 1,225

The new median is still 1,300 because it is the middle value in the remaining set.

Therefore, removing the $4,800 rent will decrease both the mean and median of the remaining rents.

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Answer:-12

Step-by-step explanation:

subtract the 2 and 3 and you got your answer.

Answer:

you need to do it in pairs go ask one of your classmates. where is your partner for this assignment

The greatest number of average students that could be in each row is 8. This is because there are an equal number of girls and boys, so the teacher can arrange them in equal rows with 4 girls and 4 boys in each row.

48 girls/8 students per row = 6 rows

32 boys/8 students per row = 4 rows

Total number of rows = 10

The teacher has 48 girls and 32 boys in the choir and wants to arrange them in equal rows. To accomplish this, the teacher needs to ensure that the same number of boys and girls are in each row. The greatest number of students that can be in each row is 8. This is because if 4 girls and 4 boys are in each row, then the total number of rows will be 6 for the girls and 4 for the boys, totaling 10 rows. This arrangement will allow the teacher to keep an equal number of boys and girls in each row, and will also ensure that the same number of students is in each row. Having 8 students in each row is the most efficient way to arrange the choir, as it will require the least amount of rows and will still keep the number of boys and girls even.

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The volume of the space outside the pyramid but inside the prism is 250 cubic centimeters.

To find the volume of the space outside the pyramid but inside the prism, we need to subtract the volume of the pyramid from the volume of the prism.

The volume of a rectangular prism is given by the formula: Volume = base area × height.

The base area of the prism is a square with sides measuring 5 centimeters, so the base area is 5 cm × 5 cm = 25 square centimeters.

The height of the prism is given as 12 centimeters.

Therefore, the volume of the prism is 25 square centimeters × 12 centimeters = 300 cubic centimeters.

The volume of a pyramid is given by the formula: Volume = (1/3) × base area × height.

The base area of the pyramid is the same as the base area of the prism, which is 25 square centimeters.

The height of the pyramid is half the height of the prism, which is 12 centimeters ÷ 2 = 6 centimeters.

Therefore, the volume of the pyramid is (1/3) × 25 square centimeters × 6 centimeters = 50 cubic centimeters.

To find the volume of the space outside the pyramid but inside the prism, we subtract the volume of the pyramid from the volume of the prism:

Volume of space = Volume of prism - Volume of a pyramid

= 300 - 50

= 250

Therefore, the volume of the space outside the pyramid but inside the prism is 250 cubic centimeters.

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Answer:

25.6°F

Step-by-step explanation:

Answer:

its 25.6

Step-by-step explanation:

The ledger accounts for Concia Traders are given below:

Capital:

Opening Balance – R105,000

Drawings:

(5) R5,745

Land and Buildings:

(4) R64,065

Vehicles:

(2) R20,340

Equipment:

(2) R1,250

Trading Stock:

(4) R8,482

(5) R16,386

Cash:

(2) R450

Sales:

(4) R13,560

Cost of Sales:

A. Purchases (assume the missing value is for purchases since there is no other related account):

Rent Income:

(3) R5,000

Packing Material:

(4) R3,330

Trading License:

(4) R7,000

Stationery:

(4) R753

Water and Electricity:

(4) R414

Telephone:

(4) R577

(5) R1,334

(4) R994

Note that due to the missing transaction numbers and values in the provided data, this may have an effect on the precision of the ledger accounts. Nevertheless, I have done my best to create these ledger accounts with caution and accuracy.

To determine the selling price through applying a 50% markup on cost price, use this formula:

Selling Price = Cost Price + (Cost Price x Markup Percentage).

For example, if the cost price for an item is R100, then the selling price will be calculated as:

Selling Price = R100 + (R100 x 0.50) = R100 + R50 = R150.

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Answer: angle 5 and angle 10

angle 8 and angle 11

hope this helps!

The information for a 95% confidence interval for the mean cholesterol are:Sample mean = x = 161.5 Standard Deviation = σ = 19.5 Sample size = n = 169 Z or t = Z Standard Error (Rounded to nearest tenth)= 1.5 Margin of Error (Rounded to nearest tenth) = 2.83 Lower limit (Rounded to nearest tenth) = 158.67 Upper limit (Rounded to nearest tenth) = 164.33

Given that the sample size, n = 169, sample mean, x = 161.5, and population standard deviation, σ = 19.5 are to be used to compute the confidence interval for the mean cholesterol. We are to find the following information for a 95% confidence interval for the mean cholesterol.

We know that if the population standard deviation is known and the sample size is greater than 30, then we use the z-value instead of the t-value. Since the sample size is n = 169, we can use the z-value. Z or t = Z For a 95% confidence level, α = 0.05/2 = 0.025 Zα/2 = Z 0.025 (from the standard normal distribution table)Z 0.025 = 1.96 The formula to calculate the standard error of the mean cholesterol is:Standard error = σ/√n=19.5/√169= 1.5

The margin of error is given by Margin of error = Zα/2 × (σ/√n)Margin of error = 1.96 × (19.5/√169)= 2.83 (rounded to the nearest tenth)The lower limit and upper limit of the confidence interval are given by the formulas:Lower limit = x - Margin of error Upper limit = x + Margin of error Lower limit = 161.5 - 2.83 = 158.67 (rounded to the nearest tenth)Upper limit = 161.5 + 2.83 = 164.33 (rounded to the nearest tenth)

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Answer:

C

Detailed explanation down below

Step-by-step explanation:

A bisector divides an angle in half, so we can say that:

7x - 27 = x + 57

7x = x + 84

6x = 84

x= 14

So now lets input this information

7 x 14 - 27 = m∠ LMO = 98 - 27 = 71°

14° + 57° = 71°

(Actually we didnt have to do this second equation because both angles should be equal.)

71° + 71° = 142°

So the answer is C : x=14° .  m∠LMN = 142°

Another name for the line r is line \(\overleftrightarrow{FA}\).

The intersection of lines p and q is F.

Three points coplanar with point E are C, B, D.

A line can be simply named as line  r or else using the name of two points on the line. Here points A and F are on the line r. So another name for line  r will be written as \(\overleftrightarrow{FA}\)

The intersection of two lines will be a point which will be present on both this lines or, the point through which both lines passes. Here from the figure, line p and line q both intersect at the point F. Hence the intersection of lines p and q is the point F.

Coplanar points means points which lie on the same plane. From the figure, the points E, C, B and D all lie on the same shaded plane. Hence the three points which are coplanar to the point E are C, B and D.

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