Given a cylinder with a volume of 502.4 in3and radius 4 in. Find the height of the cylinder.

The required measure of the mAD is given as 138°.

Following the property, of the angle subtended by chords,
∠B = ∠C
11x - 9 = 8x + 15
11x - 8x = 15 + 9
4x = 24
x = 7

mAD = 2∠C
        = 2(8 *7 + 15)

        = 2(69)
        = 138

Thus, the required measure of the mAD is given as 138°.

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Answer:

1/36

Step-by-step explanation:

1/6 * 1/6

Answer:

Step-by-step explanation:

y = \(\frac{5}{6}\) x - 12

m = \(\frac{5}{6}\)

( - 1, 2 )

y - 2 = \(\frac{5}{6}\) ( x - ( - 1 ))

Equation of the ║ line is y = \(\frac{5}{6}\) x + \(\frac{17}{6}\)

Slope of the perpendicular line is ( - \(\frac{6}{5}\) )

y - 2 = - \(\frac{6}{5}\) ( x - ( - 1 ))

Equation of the ⊥ line is y = - \(\frac{6}{5}\) x + \(\frac{4}{5}\)

Answer:

329 degrees F

Step-by-step explanation:

If you plug in your known variables into the calculator, you would get the answer 329 for F. You plug in 165 as C in the equation to find your answer.

Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let the total sum of money be x.

Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:

2/9 * x = 20000

Multiplying both sides by 9/2, we get:

x = 90000

Now, we can find the shares of B and C as follows:

B's share = 3/9 * 90000 = 30000

C's share = 4/9 * 90000 = 40000

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Answer:

a

Step-by-step explanation:

you should Mark me brainliest;)

The perimeter of the lot = (8x - 8) meters

The plot of of land is triangular in shape

The side lengths of the triangle are x, (3x - 3), and (4x - 5)

The perimeter of a shape is the sum of all the side lengths

Perimeter = x + (3x - 3) + (4x - 5)

Perimeter = x + 3x + 4x - 3 - 5

Perimeter = 8x - 8

The perimeter of the lot = (8x - 8) meters

Answer: $97.2

Step-by-step explanation: 75+8%/100=81+20%/100=97.2

If their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$. He will totally pay $ 97.2.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Franklin treated his sister to lunch while visiting her in Ashland. Their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$.

We have to apply arithmetic operations in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

If their lunch costs $75 and the sales tax in Ashland is 8%.

= 75+8% of 75

=75+(8/100)×75

=81

If Franklin left a 20% tip on the 75$

=81+20% of 81

=$ 97.2

Thus, if their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$. He will totally pay $ 97.2.

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To complete the conversion, the following will be gotten:

12880 m

Using conversion technique,

8 mi / 1 × 1.61 k / 1 mi × 1000m / 1k

we have to cancel out similar units in the numerator and denominator.

Therefore,

8 mi / 1 × 1.61 k / 1 mi × 1000m / 1k

8 / 1 × 1.61  / 1  × 1000m / 1 = 12.88 / 1 × 1000m

Hence,

12.88 / 1 × 1000m = 12880 m

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a) The probability that the computer will be fixed by either A or B is 58%.

b) The probability that it was fixed by B is 57.14%

Given data:

a)

To find the probability that the computer will be fixed by either A or B, we can use the principle of addition for probabilities.

The probability that A can fix the computer is 30% or 0.30, and the probability that B can fix the computer if A cannot is 40% or 0.40.

Therefore, the probability that either A or B can fix the computer is the sum of these probabilities:

P(A or B) = P(A) + P(B if A cannot) = 0.30 + (0.70 * 0.40) = 0.30 + 0.28 = 0.58

Therefore, there is a 58% probability that the computer will be fixed by either A or B.

b)

Let's denote event A as A fixing the computer and event B as B fixing the computer.

P(A) = 0.30 (probability A can fix the computer)

P(B|A') = 0.40 (probability B can fix the computer given that A cannot)

To find P(B|A), the probability that B fixes the computer given that it was fixed, use Bayes' theorem:

P(B|A) = (P(A|B) * P(B)) / P(A)

Since the computer is fixed, P(A) + P(A') = 1, so P(A) = 1 - P(A') = 1 - 0.30 = 0.70

P(B|A) = (P(A|B) * P(B)) / P(A)

P(B|A) = (1 * 0.40) / 0.70

P(B|A) = 0.40 / 0.70

P(B|A) ≈ 0.5714

Hence, if the computer is fixed, there is a 57.14% probability that it was fixed by B.

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Answer:

Parameter estimates

The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.

The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.

The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.

Step-by-step explanation:

To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,

Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)

Qx = 10 - 10 + 20 + 25

Qx = 45 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family is 45 liters.

If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,

Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)

Qx = 10 - 10 + 30 + 25

Qx = 55 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.

To determine the demand function, we need to solve for Qx in terms of the other variables,

Qx = 10 - 5Px + 0.001M + 10Py

Qx - 10Py = 10 - 5Px + 0.001M

Qx = (10 - 5Px + 0.001M) / 10Py

Therefore, the demand function is:

Qx = (10 - 5Px + 0.001M) / 10Py

To find the inverse demand function, we need to solve for Px in terms of Qx.

Qx = 10 - 5Px + 0.001M + 10Py

5Px = 10 - Qx - 0.001M - 10Py

Px = (10 - Qx - 0.001M - 10Py) / 5

Therefore, the inverse demand function is,

Px = (10 - Qx - 0.001M - 10Py) / 5

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

arithmetic

Step-by-step explanation:

arithmetic

There is a common difference of 13 between each term.

Answer:

Y=-4x 2

Step-by-step explanation:

answer is (2,8)

Step-by-step explanation:

b coordinate is (2,8)

Answer:

421.4 miles

Step-by-step explanation:

Numner of miles= ($270.79-$17.95)/86 cents

= $252.84/$0.60

=421.4 miles

Answer:

Yes

Step-by-step explanation:

8 + y = 4x is a linear equation in two variables ( x and y) .

Answer: 4.8

Step-by-step explanation:

Answer:

x = 76°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

Identify and set up

30° + 74° + x = 180°

Step 2: Solve for x

Answer:

x° = 76 °

Step-by-step explanation:

We know that sum of interior angles of triangle is 180 °.

74 ° + 30 ° + x° = 180 °

combine like terms

104 ° + x° = 180 °

subtract each side by 104°

x° + 104 ° - 104 ° = 180 ° - 104 °

x° = 76 °

The two equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p include the following:

B. 2.3p – 10.1 = 6.49p – 4

C. 230p – 1010 = 650p – 400 – p

From the information provided, we have the following equation:

2.3p – 10.1 = 6.5p – 4 – 0.01p

Next, we would simplify the given equation by collecting like terms as follows;

2.3p - 10.1 = 6.5p - 0.01p - 4 = 6.49p - 4

2.3p - 10.1 = 6.49p - 4

In Mathematics, the multiplication property of equality states that both sides of an equation will remain the same and equal, when both sides of the equations are multiplied by the same number.

By multiplying both sides of the given equation by 100, we have;

100 × (2.3p - 10.1) = 100 × (6.5p - 4 - 0.01p)

230p - 1010 = 650p - 400 - p

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Answer: The sales tax is $2.5 and her total cost of the shirt is $47.5.

Step-by-step explanation:

Without the house the running area would form a circle with a 14 ft radius. Since the corners of the house describe a 90° angle then the house covers a quarter of the entire circle. Therefore the running area will be three quarters of the area of a 14 ft radius circle. The area if a circle with radius r is given by:

Then 3 quarters of the area of a 14 ft radius circle are given by:

We must round the answer to the nearest square foot. Then the answer is:

The dog has about 462 square feet of running area.

Answer:

I believe that it is 45 but I'm not 100% sure.

Step-by-step explanation:

Answer:

I think the answer are C, B, C, and A.

Answer:

a) The mean is 0.05 and the standard deviation is 0.0218.

b)  v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\).

If \(np \geq 10\) and \(n(1-p) \geq 10\), the sampling distribution of the sample proportion p will be approximately normal.

Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05.

This means that \(p = 0.05\)

A random sample of n = 100 people

So \(n = 100\)

(a) What are the mean and standard deviation of the sampling distribution of p?

Mean \(\mu = p = 0.05\)

Standard deviation \(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{100}} = 0.0218\)

The mean is 0.05 and the standard deviation is 0.0218.

(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.

\(np = 100*0.95 = 95 > 10\)

\(n(1-p) = 100*0.05 = 5 < 10\)

As n(1-p) < 10, it is not approximately normal, option v.

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.