Find the area if the sides are 48 feet by 75 feet. *

Answer:

see below

Step-by-step explanation:

we construct a parallel line to ED through F

as shown in the picture

so by angles between parallels

a=d

b=e

so what does

a+b+c equal? this is the triangle angle sum

it equals c+d+e and

the sum makes a straight angle so that's 180°

so

c+d+e=180

which is the same as

a+b+c=180

The probability of a student participating in sports given that he/she participates in theatre is 22.2%

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

P(Sports|Theatre) = P(Sport and theatre)/P(theatre)

So, we have

P = 2%/9%

Evaluate

P = 22.2%

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Answer:

slope (m) is 4, y-intercept (m) is -3

Step-by-step explanation:

y=4x-3

use y¹-y² over x¹-x² to find slope, then use one of the points to fill in for x and y to find y-intercept

Answer:

$9.60 for 42 fl oz

Step-by-step explanation:

$6.15 x 2=$12.30

$12.30 for 44 fl oz

$12.30-$9.60=$2.70

you would be paying $2.70 for 4 fl oz when 4 fl oz is 93 cent

Answer:  42 fluid ounce unit of dish soap.

Step-by-step explanation: Why? Well, 24 times 2 gives you 48 fluid ounces for $12.30. But for just 4 less fluid ounces of soap, you pay $9.60. This is just over a dollar for every two ounces of soap.  So $12.30- $9.60= $2.70. this shows you`d need to buy two 24 ounce bottles. *So if you ONLY BUY ONE 24 OUNCE SOAP* you are getting a bad deal. In order to make a better deal buy two 24 ounce bottles to get four more ounces and pay $2.70 more. Hence you only ask about buying one, so 42 ounces is your go to choice.

The volume of the square pyramid is 128 cubic cm if the height is 6 cm and base length is 6 cm option third is correct.

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the centre of the square.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Let's suppose the base length is x

b = 6 + 2 = 8 cm

h = 6 cm

Area of the base = 8×8 = 64 square cm

Volume of the square pyramid = (64×6)/3 = 128 cubic cm

Thus, the volume of the square pyramid is 128 cubic cm if the height is 6 cm and base length is 6 cm option third is correct.

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Answer:

n

Step-by-step explanation:

n

Answer:

m = 5 n = \(\frac{5\sqrt{3} }{2}\)

Step-by-step explanation:

5/2x2=5

5/3xsqrt3=5sqrt3/2

Answer:

35 plus x.50=y

Step-by-step explanation:

Answer:7/10

Step-by-step explanation:

Answer:

\( \frac{7}{9} \)

Explanation:

First, you have to write a number in the numerator, that is after the comma (in this case it's 7)

And then, in the denominator, you have to write a number that is made of nines only (the number of nines you have to write is the number of decimal numbers, in this case it's 1 nine)

Answer:

4inches

Step-by-step explanation:

Area = l x w

If area is 36inches, then the length is square root of 36

Lenght of a side is 6inches

The Lenght reduced by 2inches = 4

The total line integral over c is: ∫c xy dx + (x − y) dy = ∫c1 xy dx + (x − y) dy + ∫c2 xy dx + (x − y) dy = 0 + 15√5/5 = 3√5.

To evaluate the line integral of the given curve, we need to split the integral into two parts corresponding to the line segments. Let's denote the first line segment as C1 and the second as C2. For C1, the curve goes from (0, 0) to (3, 0). Since y is constant (y = 0) along this segment, dy = 0, and the integral simplifies to:
∫(C1) xy dx = ∫(0 to 3) x*0 dx = 0 (because y = 0)
For C2, the curve goes from (3, 0) to (4, 2). We can parameterize this segment as x = 3 + t, y = 2t, where t goes from 0 to 1. Then, dx = dt and dy = 2 dt. Now, we can rewrite the integral:
∫(C2) xy dx + (x - y) dy = ∫(0 to 1) [(3 + t)(2t) dt + ((3 + t) - 2t)(2 dt)]
Now, evaluate the integral:
= ∫(0 to 1) [6t² + t³ + 2(3 + t - 2t) dt]
= ∫(0 to 1) [6t² + t³ + 6 dt - 2t dt]
= ∫(0 to 1) [6t² + t³ + 6 - 2t] dt
Finally, integrate with respect to t and evaluate the limits:
= [2t³ + (1/4)t⁴ + 6t - t²] (from 0 to 1)
= (2 + 1/4 + 6 - 1) - (0)
= 7.25
So, the total line integral is the sum of the integrals along the two line segments:
∫C = ∫(C1) + ∫(C2) = 0 + 7.25 = 7.25

To evaluate the line integral ∫c xy dx + (x − y) dy, where c consists of line segments from (0, 0) to (3, 0) and from (3, 0) to (4, 2), we need to break up the curve c into two line segments and apply the line integral formula for each segment.
First, consider the line segment from (0, 0) to (3, 0). This segment lies along the x-axis and is parameterized by x = t and y = 0, where 0 ≤ t ≤ 3. Thus, dx = dt and dy = 0, and we have:
∫c1 xy dx + (x − y) dy = ∫0^3 t(0) dt + (t − 0)(0) dt = ∫0³ 0 dt = 0
Next, consider the line segment from (3, 0) to (4, 2). This segment is parameterized by x = 3 + t/√5 and y = 2t/√5, where 0 ≤ t ≤ √5. Thus, dx = dt/√5 and dy = 2dt/√5, and we have:
∫c2 xy dx + (x − y) dy = ∫0√5 (3 + t/√5)(2t/√5)(dt/√5) + (3 + t/√5 − 2t/√5)(2dt/√5)
= ∫0√5 (6t/5) dt/5 + (3 + t/√5 − 2t/√5)(2dt/√5)
= ∫0√5 (6t/25) dt + (6/√5)(dt/√5)
= (3/25)(√5)² + (12/5)(√5)
= 3√5/5 + 12√5/5
= 15√5/5
Therefore, the total line integral over c is: ∫c xy dx + (x − y) dy = ∫c1 xy dx + (x − y) dy + ∫c2 xy dx + (x − y) dy = 0 + 15√5/5 = 3√5

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By solving the quadratic equation we get the values of z are -3/2 and -4, as both the factors have to be equal to zero.

Given, 2z² + 11z + 2 = 8

We need to use factoring techniques to solve the quadratic equation above.

First of all, we have to move the constant term to the left side of the equation.

2z² + 11z + 2 - 8 = 0

simplifying,

2z² + 11z - 6 = 0

Now, we need to find two numbers whose sum is 11 and product is -12.

We can split the middle term of the quadratic equation as follows.

2z² + 8z + 3z - 6 = 0

Taking the common factor in the first two terms and the last two terms,we get,

2z(z+4) + 3(z+4) = 0(2z+3) (z+4) = 0

Therefore, the values of z are -3/2 and -4, as both the factors have to be equal to zero.

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Answer:

reflection

Step-by-step explanation:

the trapezoid in the picture is reflected vertically from point D

have a nice day!!

Answer:

y = -1.3x + 10

Step-by-step explanation:

x_avg = (-2 + -1 + 1 + 2 + 3 + 4)/6 = 1.166666...

y-avg = (21 + 8.6 + 1 + 1 + 5 + 14.3) = 8.48333...

x      y       x-x_avg       y-y_avg          (x-x+avg)²           (x-x_avg)(y-y_avg)

-2    21     -3.1666        12.51666       10.02777                    -39.63611

-1    8.6     -2.1666        0.11666        4.69444                     -0.252777

1      1        -0.1666       -7.48333        0.02777                     1.247222

2      1       0.83333     -7.48333         0.69444                    -6.236111

3      5       1.8333        -3.48333        3.3611111                     -6.386111

4     14.3    2.8333        5.81666         8.02777                     16.480555

sum of (x-x_avg)(y-y_avg) = -34.858

sum of (x+x_avg)² = 26.8333

slope = [(x-x_avg)(y-y_avg)/[(x+x_avg)²]

slope = -34.858/26.8333

slope = -1.29907

y = mx + b

y_avg = m(x_avg) + b

8.48333 = -1.3(1.1666) + b

b = 9.9989

y = -1.3x + 10

When f(x) = 20

Then

5x + 10 = 20

Therefore

5x=20-10=10

x = 10 / 5 = 2

x= 2

Answer:

im pretty sure that the answer is -50.5 feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The interior angles of a triangle add to 180°:a + b + c = 180°

Angles c and d make a straight angle, which is 180°:d + c = 180°

So d + c equals a + b + c:d + c = a + b + c.

Subtract c from both sides:d = a + b.

Answer:

Step-by-step explanation:

W1: 25 X 3 = 75 ft

N1: 25 X 13 = 325 ft

E1: 25 X 7 = 175 ft

S1: 25 X 5 = 125

W2: 25 X 4 = 100

Add all sides up to get a total of 800

Answer:

0

Step-by-step explanation:

0

Thank me...........

The final cost is $538

Using this formula

Final cost =Total sales+ (Total sales×Tax)

Let plug in the formula

Final cost= $499.00+($499.00×7.75%)

Final cost= $499.00+$38.67

Final cost= $537.67

Final cost= $538 (Approximately)

Inconclusion The final cost is $538.

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Assuming Mark wants to buy a PS5 for $499.00 and the  tax in her local county is 7.75% of the total sale, what will be the final cost is $538

Using this formula

Final cost =Total sales+ (Total sales×Tax)

Let plug in the formula

Final cost= $499.00+($499.00×7.75%)

Final cost= $499.00+$38.67

Final cost= $537.67

Final cost= $538 (Approximately)

Inconclusion Assuming Mark wants to buy a PS5 for $499.00 and the  tax in her local county is 7.75% of the total sale, what will be the final cost is $538

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Answer:

56$

Step-by-step explanation:

8*2=16

10*4=40

16+40=56

The probability that the sample mean will be less than 200 pounds is approximately 0.9015 or 90.15%.

Step-by-step explanation:

To solve this problem, we can use the central limit theorem, which states that the sampling distribution of the mean of a large sample (n >= 30) will be approximately normal, regardless of the distribution of the population.

We are given that the population mean is 196 pounds and the standard deviation is 22 pounds. The sample size is 50, which is large enough to apply the central limit theorem.

To find the probability that the mean of the sample will be less than 200 pounds, we need to standardize the sample mean using the formula:

z = (x - mu) / (sigma / sqrt(n))

where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values we get:

z = (200 - 196) / (22 / sqrt(50)) = 1.59

Now we need to find the probability that a standard normal variable is less than 1.59. We can use a standard normal table or calculator to find this probability, which is approximately 0.944.

Therefore, the probability that the mean of the sample will be less than 200 pounds is 0.944 or 94.4% (rounded to one decimal place).

So, we can say that there is a 94.4% chance that the mean weight of 50 randomly selected individuals will be less than 200 pounds.

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A graph of the solution to this inequality 3x ≤ 18 is: graph D.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would divide both sides of the inequality by 3 as follows;

3x ≤ 18

x ≤ 18/3

x ≤ 6.

In this exercise, we would use an online graphing calculator to plot the given inequality 3x ≤ 18 as shown on the number line attached below.

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according to the question

given data in the question,

the type of sample-

random stratified sampling

The usage of satisfied sampling may be required for a variety of distinct features.

The population is first split into two or more strata or subgroups in this kind of random sampling. Beginning with the sampling procedure, each unit is assigned to one stratum based on the unit's historical performance. Following that, separate random samples are chosen using a basic random sampling technique from each stratum, which contains a percentage of the population. that is, they are both mutually and jointly exhaustive.

The traits that we are evaluating are distinct from those of members of another stratum and similar to those of the sample unit stratum.

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the type of sample that proportionately reflects the relevant diversity of opinions in the population from which it is drawn is random stratified sampling

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

The sample size in statistics is a measurement of the total number of samples utilized in an experiment. The sample size is 50, for instance, if we are evaluating 50 samples of city dwellers who watch TV. It's also known as sample statistics.

Considering the query

the information in the query

a sample's type-

stratified sampling at random

For a number of unique traits, satisfied sampling may be necessary.

In this type of random sampling, the population is initially divided into two or more strata or subgroups. Each unit is categorized into a stratum at the start of the sampling process depending on its prior performance. A basic random sampling approach is then used to select distinct random samples from each stratum, which represents a portion of the population. they are mutually and jointly exhaustive, in other words.

The characteristics that we are examining are different from those of members of one stratum and comparable to those of the stratum that contains the sample unit.

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The number of students that would be expected to be unable to complete the exam in the allotted time is 8 students.

To find the number of students who would be unable to complete the exam in the allotted time, we need to calculate the number of students who take more than 90 minutes to complete the exam.

First, we calculate the z-score for the cutoff point of 90 minutes:

z = (90 - 80) / 10 = 1

Using a standard normal distribution table, we find that the probability of a student taking more than 90 minutes is approximately 0.1587.

Therefore, the expected number of students who would be unable to complete the exam in the allotted time is:

0.1587 x 50 = 7.935

Rounding up to the nearest integer, we can expect 8 students to be unable to complete the exam in the allotted time.

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The complete question is :

If a class of 50 students has an examination period of 90 minutes, and the average time a student takes to complete the exam is 80 minutes with a standard deviation of 10 minutes, how many students would be expected to be unable to complete the exam in the allotted time?

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Answer:

30 minutes

Step-by-step explanation:

Think of it as a fractions. Player 1: 6 min./1 lap, Player 2: 10 min./1 lap. So in order to do this you have to find the greatest common factor. The GCF is 30. [learned this 2 yrs ago, im not entirely sure]

Answer: 3 cups of flour

Step-by-step explanation: