Find the approximate area of /CDE. A. 48.3 square units B. 59.8 square units C. 64.6 square units D. 75 square units


Triangle:

Line CE =15

Line ED =12

Line CD =10

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

The length of side LJ in triangle JKL is approximately 12.27 centimetre .

To determine the length of side LJ in triangle JKL, we can use the concept of similarity between triangles. When two triangles are similar, their corresponding sides are proportional.

Length of side XY in triangle XYZ: 8.7

Length of side XZ in triangle XYZ: 8.2

Length of side YZ in triangle XYZ: 7.8

Length of side JK in triangle JKL: 13.05

Let's set up the proportion using the corresponding sides:

XY / JK = XZ / LJ = YZ / KL

Substituting the given values:

8.7 / 13.05 = 8.2 / LJ = 7.8 / KL

Now, we can solve for LJ:

8.2 / LJ = 8.7 / 13.05

Cross-multiplying:

8.2 * 13.05 = 8.7 * LJ

106.71 = 8.7 * LJ

Dividing both sides by 8.7:

LJ = 106.71 / 8.7

LJ ≈ 12.27

Therefore, the length of side LJ in triangle JKL is approximately 12.27cemtimetre .

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The equation that represents the linear relationship between x-values and the y -values in the table is y = 6x - 5.

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the slope of the line.

Hence, using (-1, -11) and (1, 1)

slope = m = 1 + 11 / 1 + 1

slope = 12 / 2

slope = 6

Therefore, let's find the y-intercept of the equation using (1, 1)

y =  6x + b

1 = 6(1) + b

1 = 6 + b

b = 1 - 6

b = -5

Therefore, the equation of the table is y = 6x - 5.

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Answer:

12/8 or 1 1/2 hope this helps

Answer:

I think answer is. Tap in photo

Answer:

not completly sure but i think it's -1629x-8=0

Step-by-step explanation:

Answer: the answer is 10.

Step-by-step explanation: I made sure

The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.

The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).

Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake

Throughput capacity = 100 cupcakes / 1.25 minutes

Throughput capacity = 80 cupcakes per minute

The closest answer is 80 cupcakes per minute, so the correct option is .8.

The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.

Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)

Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)

Throughput time = 40 minutes + 125 minutes

Throughput time = 165 minutes

The closest answer is 165 minutes, so the correct option is 165.

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Answer:

8 on edge 2020

Step-by-step explanation:

The perimeter of the given figure is 120 units

The perimeter of a figure is the total length of the boundary or the distance around the figure. It is the sum of the lengths of all the sides of the figure. The perimeter is always expressed in units of length, such as centimeters, meters, feet, or inches.

To find the perimeter of this figure, we need to simply add up all the sides;

The perimeter of the figure will be;

P = 16 + 16 + 12 + 4 + 12 + 4 + 24 + 16 + 8 + 8 = 120 units

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Answer:

C. y = 2/3x + 5

Step-by-step explanation:

we have slope m = 2/3, x = -6, y = 1

y = mx + b

1 = 2/3(-6) + b

1 = -4 + b

b = 1 + 4 = 5

then y = 2/3x + 5

Answer:

The perimeter will be 32 inches

Step-by-step explanation:

- 16 divided by 4 (for each side of square) = 4 inches

- To work out area, we times two sides together 4 * 4

- The area of the smaller tiles is 16 inches squared.

- Times area by 4 for tile that is 4x bigger, 16 * 4 = 64 inches squared. (which you can see is 4 times bigger as 4 * 16 = 64)

- The formula for an area of a square is side * side

- So we need a number that equals 64 when multiplied by itself

- 8 * 8 = 64

- To find perimeter we add up the sides 8 + 8 + 8 + 8 = 32 inches

Answer:

70√2  units²

Step-by-step explanation:

(see attached for reference notes on parallelograms)

we are given ABCD is a parallelogram where

Short Length, AB = 10 units

Long Length, BC = 14 units

Angle A = 45°

The area of the parallelogram is hence,  

= AB x BC sin 45°

= 10 x 14 x sin 45

= 140 sin 45°    (recall from special angles, that sin 45° = 1/√2)

= 140/√2   (remove radical from denominator by multiplying by √2/√2)

= (140/√2) x (√2/√2)

=70√2  units²

The fact that the cards are replaced means that the probability of picking an ace exactly two times after replacing the card 5 times is 0.47%

As the cards are replaced, this makes this an independent probabilities problem.

The probability of getting an ace exactly two times is:

= Probability of getting ace once x Probability of getting ace once x Probability of not getting ace³

Solving gives:

= 4/52 x 4/52 x (48/52)³

= 0.00465

= 0.47%

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The greatest possible number of total points for each of the top three teams is 24.

Given;

Six teams compete against one another twice in a tournament. A team receives three points for a victory, one point for a tie, and no points for a defeat. The top three clubs ended up with the same total number of points when all the games were completed.

After fully understanding the problem, we immediately know that the three top teams, say team A, team B, and team C, must beat the other three teams D, E, F. Therefore, A, B, and C must each obtain (3 + 3 + 3 ) = 9 points. However, they play against each team twice, for a total of 18 points against D, E, and F. For games between A, B, and C, we have 2 cases. There is an equality of points between A, B, and C in the following cases.

Case (I): A team ties the two other teams. For a tie, we have 1 point, so we have (1 + 1) * 2 = 4 points (they play twice).

Therefore, this case brings a total of 4 + 18 = 22 points.

Case (II): A team beats one team while losing to another. This gives equality, as each team wins once and loses once as well. For a win, we have 3 points, so a team gets 3 * 2 = 6 points if they each win a game and lose a game.

This case brings a total of 18 + 6 = 24 points.

Therefore, we use case (II) since it brings the greater amount of points as 24.

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Answer:

the answer is 2487

Step-by-step explanation: i took the test

It would take them approximately 6.35 hours to pick 40 bushels of apples together. Rounded to the nearest hundredth, the answer is 6.35. It would take Beth and Castel approximately 15.87 hours to pick forty bushels of apples together.

To solve this problem, we can use the formula: 1/t = 1/t1 + 1/t2

where t is the time it takes for both of them to pick 40 bushels of apples working together, t1 is the time it takes for Beth to pick 40 bushels of apples, and t2 is the time it takes for Castel to pick 40 bushels of apples.

Plugging in the given values, we get:

1/t = 1/11 + 1/15

Simplifying this expression, we get:

1/t = (15 + 11) / (11 x 15)

1/t = 26 / 165

Multiplying both sides by 165, we get:

t = 165 / 26

t ≈ 6.35

Therefore, it would take them approximately 6.35 hours to pick 40 bushels of apples together. Rounded to the nearest hundredth, the answer is 6.35.

To determine how long it would take Beth and Castel to pick forty bushels of apples together, we'll first find their individual rates of work.

Beth's rate:
40 bushels / 11 hours = 40/11 bushels per hour

Castel's rate:
40 bushels / 15 hours = 40/15 bushels per hour

Now, we'll find their combined rate by adding their individual rates:
(40/11) + (40/15) = (120 + 88) / 165 = 208/165 bushels per hour

Next, we'll find the time it takes for them to pick 40 bushels together by dividing the total bushels by their combined rate:
40 bushels / (208/165 bushels per hour) = (40 * 165) / 208 = 3300 / 208 = 15.87 hours

Rounded to the nearest hundredth, it would take Beth and Castel approximately 15.87 hours to pick forty bushels of apples together.

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Take into account that the figure at the center is a square. Its area is given by:

A1 = (8 ft)² = 64 ft²

To the area of the other two triangles, first determine the length of the below side of the triangle, as follow:

20 ft - 8 ft = 12 ft

12 ft is the length of the two sides. Due to both triangles are equal, the length of their sides is:

12 ft/2 = 6 ft

Then, the area of the triangles is:

A2 = (6 ft)(8 ft)/2 = 48 ft/2 = 24 ft

Hence, the total area of the figure is:

AT = A1 + A2 + A2

AT = 64 ft² + 24 ft² + 24 ft² = 112 ft²

The toal area of the figure is 112 ft²

Answer:

69.08m

Step-by-step explanation:

Circumference of a circle = πd where

d is the diameter of the circle

Given

diameter = 22metres

circumference of the circle = 3.14(22)

circumference of the circle  = 69.08m

Hence the circumference of the circle is 69.08m

Answer:

d i think sorry if im wronge

Step-by-step explanation:

Answer: 9

Step-by-step explanation: First, you find how many parts are needed. 4+3+1=8

So, we then divide 24 by 8 to find out what one part is. This is 3

As she needs 3 parts of parsley, we multiply 3 by 3 (each part) to get 9 tbsp.

Fabiola's special seasoning mix of 24 tbsp. needs 9 tbsp. of parsley.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Fabiola's special seasoning mix has three ingredients. The recipe uses 4 parts thyme, 3 parts parsley, and 1 part green onion.

Let, 'x' be the ratio multiplier.

Therefore, 4x + 3x + x = 24.

8x = 24.

x = 3.

So, She needs 3×3 = 9 tbsp. of parsley.

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Answer:

Step-by-step explanation:

4/(8/9)-(1/2)=4

Answer:

f(x) = 6x + 30; 30 ≤ y ≤ 54

Step-by-step explanation:

The y-intercept of the function must be 30 because they started out with 30 clients and the slope is 6 so the function is f(x) = 6x + 30. As for the range, when 0 ≤ x ≤ 4, 30 ≤ y ≤ 54.

Answer:

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

ST = SW, since both are radii of the circle.

SW = WT, given.

STW is an equilateral triangle.

RED is an equilateral triangle.

Therefore, the measure of DE is 60°.

The probability of drawing a face card is 12/52 or 23.08%. The probability of drawing a red card is 26/52 or 50%. The probability of drawing a red face card is 6/52, or approximately 11.54%.

The probability of drawing a face card from a standard deck of 52 cards (where face cards are kings, queens, and jacks) is 12/52, or approximately 23.08%. This is because there are 12 face cards in the deck and 52 total cards.

The probability of drawing a red card (which includes hearts and diamonds) is 26/52, or exactly 50%. This is because half of the cards in a deck are red (26 out of 52).

To find the probability of drawing a red face card, we need to find how many cards in the deck are both red and a face card. There are 6 red face cards in a deck (2 red kings, 2 red queens, and 2 red jacks) out of a total of 52 cards. So the probability of drawing a red face card is 6/52, or approximately 11.54%.

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When sampling from a normal population, such as SAT scores, the distribution of sample means will indeed have a normal distribution with the same mean as the population mean.

However, the variability in sample means will not necessarily be less than the variability in individuals. In fact, the variability in sample means is related to the sample size and the variability of the population.

To clarify, the mean of the sampling distribution of the sample mean is indeed equal to the population mean. This property is known as the expected value or the unbiasedness of the sample mean as an estimator of the population mean.

The standard deviation of the sampling distribution of the sample mean, also called the standard error of the mean, is determined by the population standard deviation (σ) and the sample size (n). The formula for the standard error of the mean is:

Standard Error of the Mean = (Population Standard Deviation) / sqrt(Sample Size)

In the case of SAT scores, if we know the population standard deviation and we take samples of a specific size, we can use the above formula to calculate the standard error of the mean. This standard error represents the average variability or dispersion of sample means around the population mean.

It's important to note that as the sample size increases, the standard error of the mean decreases, indicating that the sample means become more precise estimators of the population mean. This reduction in variability occurs due to the effect of sample size on reducing sampling error.

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To find the basis for the null space and range of the given matrix, we first need to row reduce it:
1 -2 1 -5 1 -1 2 -2

After performing row operations, we get:
1 -2 1 -5 0  0  0  0

This means that the null space of the matrix is spanned by the vectors:
[2, 1, 0, 0, 0, 0, 0, 0] and [5, 0, 1, 0, 0, 0, 0, 0]

To find the range of the matrix, we need to find the columns that correspond to the pivot columns in the row-reduced form of the matrix. In this case, these are the first three columns. Therefore, the range of the matrix is spanned by the vectors:
[1, 1, 2] and [-2, -5, -1]

To obtain orthogonal bases using the Gram-Schmidt process, we start with the basis vectors we found:
v1 = [2, 1, 0, 0, 0, 0, 0, 0]
v2 = [5, 0, 1, 0, 0, 0, 0, 0]
v3 = [1, 1, 2]
v4 = [-2, -5, -1]

We first normalize v1 to get u1:
u1 = v1 / ||v1|| = [2/√5, 1/√5, 0, 0, 0, 0, 0, 0]

Next, we find the projection of v2 onto u1 and subtract it from v2 to get a vector orthogonal to u1:
proj_v2_u1 = (v2 · u1) u1 = [14/5, 7/5, 0, 0, 0, 0, 0, 0]
u2 = v2 - proj_v2_u1 = [1/5, -7/5, 1, 0, 0, 0, 0, 0]

We then normalize u2 to get u2:
u2 = u2 / ||u2|| = [1/√15, -3/√15, √3/√5, 0, 0, 0, 0, 0]

Next, we find the projection of v3 onto u1 and u2 and subtract them to get a vector orthogonal to both:
proj_v3_u1 = (v3 · u1) u1 = [4/√5, 2/√5, 0, 0, 0, 0, 0, 0]
proj_v3_u2 = (v3 · u2) u2 = [√3/3, -√3/3, √3/3, 0, 0, 0, 0, 0]
u3 = v3 - proj_v3_u1 - proj_v3_u2 = [-1/√15, 4/√15, √3/√5, 0, 0, 0, 0, 0]

Finally, we normalize u3 to get u3:
u3 = u3 / ||u3|| = [-1/√21, 2/√21, √3/√7, 0, 0, 0, 0, 0]

Therefore, an orthogonal basis for the null space is:
{u1, u2, u3} = {[2/√5, 1/√5, 0, 0, 0, 0, 0, 0], [1/√15, -3/√15, √3/√5, 0, 0, 0, 0, 0], [-1/√21, 2/√21, √3/√7, 0, 0, 0, 0, 0]}

And an orthogonal basis for the range is:
{u1, u2} = {[2/√5, 1/√5, 0, 0, 0, 0, 0, 0], [1/√15, -3/√15, √3/√5, 0, 0, 0, 0, 0]}

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The theoretical probability of drawing a blue marble from a jar containing 21 brown and 19 blue marbles is 19/40, or 0.475.

To calculate this, divide the number of blue marbles by the total number of marbles in the jar. 19 divided by 40 equals 0.475, or 19/40. This means that there is a 47.5% chance of drawing a blue marble from the jar.

The probability of drawing a specific marble from the jar can be expressed using the formula P(A) = n(A)/n(T).

In this example, the probability P(A) is the chance of drawing a blue marble, n(A) is the number of blue marbles (19) and n(T) is the total number of marbles in the jar (40). Therefore, P(A) = 19/40 = 0.475.

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The type of sampling used in this scenario is A Systematic sampling.

Systematic sampling involves selecting every kth element from a population list after randomly selecting a starting point. In this case, Christopher collects data from all the band members in his class, indicating that he is sampling systematically from a known list of band members.

This method ensures that every band member in the class has an equal chance of being selected, and it simplifies the process by following a predetermined systematic approach rather than relying on random selection or stratification.

Therefore, the type of sampling used in this scenario is A Systematic sampling.

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Complete question is below

To study the sleeping habits of all band members in his school, Christopher collects data from all the band members in his class. Which type of sampling is used? Select the correct answer below:

A Systematic sampling

B Stratified sampling

C Cluster sampling

D Convenience sampling

If his average rate was miles per hour faster on the trip home, Charlie lives 480 miles from the mountain.

Let s = his speed to the mountains,

(s+20) = his return speed

The distance each way is the same,

Using the formula,

Distance = speed * time

12s = 8(s+20)

12s = 8s + 160

12s - 8s = 160

4s = 160

s = 160/4

s = 40 mph

So his speed to the mountain is 40mph

then,

Putting the values of speed and times we get,

40 * 12 = 480 miles to the mountains

Therefore, distance between charlie and the mountains is 480 miles.

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The volume of the solid is V = 1450π/3 cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curves y = 3x, x = 5, x = 10, and y = 0 about the x-axis, we can use the method of cylindrical shells.

For each value of x in the interval [5, 10], we can consider a thin cylindrical shell with radius x and height 3x. The volume of this shell is given by:

dV = 2πx (3x) dx

Integrating this expression from x = 5 to x = 10, we get:

V = ∫5^10 2πx (3x) dx

= 6π ∫5^10 x^2 dx

= 6π [(10^3)/3 - (5^3)/3]

= 1450π/3

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