HELP ASAP PLEASE
Find the volume of the figure below.
1. 3718 ft
2. 3018 ft
3. 1013 ft
4. 1034 ft

The distance between the two points is approximately 1.802 inches.

To find the distance between two points in a two-dimensional polar coordinate system, we can use the formula:

\(\[d = \sqrt{{r_1^2 + r_2^2 - 2r_1r_2\cos(\theta_2 - \theta_1)}}\]\)

Given that \(\(r_1 = 6.1\)\) cm, \(\(\theta_1 = 27.3\)\) degrees, \(\(r_2 = 7.2\)\) cm, and \(\(\theta_2 = 74.9\)\) degrees, we can substitute these values into the formula to calculate the distance.

Converting the distance to inches, we can use the conversion factor 1 cm = 0.3937 inches.

Calculating the distance in inches:

\(\[d = \sqrt{{(6.1 \, \text{cm})^2 + (7.2 \, \text{cm})^2 - 2(6.1 \, \text{cm})(7.2 \, \text{cm})\cos(74.9^\circ - 27.3^\circ)}} \times 0.3937 \, \text{inches}\]\)

Simplifying the equation, we have:

\(\[d = \sqrt{{(37.21 \, \text{cm}^2) + (51.84 \, \text{cm}^2) - 2(6.1 \, \text{cm})(7.2 \, \text{cm})\cos(47.6^\circ)}} \times 0.3937 \, \text{inches}\]\)

Calculating further, we get:

\(\[d = \sqrt{{89.05 \, \text{cm}^2 - 87.84 \, \text{cm}^2 \cos(47.6^\circ)}} \times 0.3937 \, \text{inches}\]\)

Finally, evaluating the expression, we find:

\(\[d \approx 1.802 \, \text{inches}\]\)

Therefore, the distance between the two points is approximately 1.802 inches.

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The distance between the foci of the ellipse is approximately 5.66 units.

To find the distance between the foci of an ellipse, we can use the formula:
c = sqrt(a^2 - b^2)
where a is the length of the semi-major axis and b is the length of the semi-minor axis. In this case, the major axis has a length of 18 and the minor axis has a length of 14.

To find the value of c, we first need to find the values of a and b. The length of the major axis is twice the length of the semi-major axis, so a = 18/2 = 9. Similarly, the length of the minor axis is twice the length of the semi-minor axis, so b = 14/2 = 7.
Now, we can substitute these values into the formula:
c = sqrt(9^2 - 7^2)

= sqrt(81 - 49

) = sqrt(32)

≈ 5.66

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a =72.97 and c=8.62

a) To find out the value of a let's use the Law of Sines. This way:

And the fact that the sum of the interior angles within a triangle is always 180º so, m∠B =180-(80+35) , m∠B = 65º. Now let's plug that information into that:

b) Let's find the value of that angle A, at first. m∠A =180-(52+26), m∠A=102º

Likewise, we're going to adopt the same way to find the measure of leg c:

2) Hence, the answers are a =72.97 and c=8.62

Answer:

1/2 or 0.5!!!!!!!!!!!!!

Answer:

x=1/2

Step-by-step explanation:

take 1/4 from each side to get x on it's own.

Answer:

True

Step-by-step explanation:

I'm assuming the start and end of the beetles is the rectangular box. If so, the beetle goes from 7-13 which is only 6mm. So therefore, it would be in normal range!

I'd love to help!

What's your question?

Brainliest

Answer:

The volume of only the cheese popcorn is 392.5 cubic inches.

Step-by-step explanation:

To determine the volume of only the cheese popcorn,

First, we will determine the volume of the cylindrical tin

The volume of a cylinder is given by

V = πr²h

Where V is the volume of the cylinder

π is a constant, (Take π = 3.14)

r is the radius of the cylinder

and h is the height of the cylinder

From the question, the tin is 10 inches in diameter and 15 inches tall.

Diameter = 10 inches, therefore, we can find radius

Radius = Diameter/2 = 10/2 = 5 inches

r = 5 inches

h = 15 inches

Now, putting the values into the equation, we get

V = 3.14 × 5² × 15

V = 1177.5 cubic inches

This is the volume of the cylindrical tin.

Since the cylindrical tin is divided into three equal sections of caramel, cheese, and buttered flavors, then the volume of only the cheese popcorn will be one-third of the total volume of the cylindrical tin.

∴ The volume of only the cheese popcorn = 1/3 × 1177.5 = 392.5 cubic inches

Hence, the volume of only the cheese popcorn is 392.5 cubic inches.

The probability that the weight of a bag will be greater than the maximum allowable weight of 50 pounds depends on the distribution of bag weights and their relationship to the maximum weight limit.

To estimate the probability, we can assume a normal distribution for bag weights, with a mean and standard deviation. Let's denote the mean as μ and the standard deviation as σ. If we assume that bag weights follow a normal distribution, we can calculate the z-score for the maximum allowable weight of 50 pounds using the formula: z = (x - μ) / σ, where x is the maximum weight.

Next, we can use the z-score to determine the probability using the cumulative distribution function (CDF) of the standard normal distribution. The CDF gives the probability that a random variable is less than or equal to a certain value. In this case, we want to find the probability that the bag weight exceeds 50 pounds, which is equivalent to finding the probability that the random variable is greater than 50 pounds.

Since the CDF provides the probability of being less than or equal to a given value, we can subtract the result from 1 to obtain the probability of being greater than 50 pounds. This probability represents the likelihood of a bag exceeding the maximum allowable weight. However, keep in mind that these calculations are based on the assumption of a normal distribution, and the actual probability will vary depending on the specific characteristics of the bag weights distribution.

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Answer:

m

Step-by-step explanation:

Using the rule of exponents

\(a^{0}\) = 1 , then

m\(n^{0}\) = m × 1 = m

Answer:

y=x+5

Step-by-step explanation:

Answer:

\( \huge{ \boxed{ \bold{ \tt{y = 8}}}}\)

☪ What is the value of y for the equation given below when x = 2 ?

☪ Step - by - step explanation :

plug the value of x ( i.e 2 )

➳ \( \sf{ - 3 \times 2 + 2y = 10}\)

Remember : Multiplying or dividing a negative integer by a positive integer gives a negative integer.

➳ \( \sf{ - 6 + 2y = 10}\)

Move 6 to right hand side and change it's sign

➳ \( \sf{2y = 10 + 6}\)

Add the numbers : 10 and 6

➳ \( \sf{2y = 16}\)

Divide both sides by 2

➳ \( \sf{ \frac{2y}{2} = \frac{16}{2}} \)

➳ \( \boxed{ \sf{y = 8}}\)

——————————————————

✏ Now, let's check whether the value of y is 8 or not !

✑ Verification :

\( \sf{ - 3x + 2y = 10}\)

→ \( \sf{ - 3 \times 2 + 2 \times 8 = 10}\)

→ \( \sf{ - 6 + 16 = 10}\)

→ \( \sf{10 = 10}\)

L.H.S = R.H.S ( Hence , the value of y is 8 . )

——————————————————

☞ Additional Info :

✒ Sign rules of addition and subtraction of integers:

✒ Sign rules of multiplication and division of integers :

✒ Rules for solving an equation :

Hope I helped!

Have a wonderful time ツ

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Answer:

c  ≥ (p x 2)

Step-by-step explanation:

Answer:

-1/3; A

Step-by-step explanation:

The unit rate here is also 8 cups of water per day.

We need to remember that in the unit rate we have as the denominator one unit of any quantity.

In this case, we have a day as the denominator one day, since:

In summary, therefore, the unit rate, in this case, is 8 cups of water per day:

Answer:

Each Cup has 3/8

Step-by-step explanation:

Divide

Applying the central angle theorem, the measure of arc CDE is: 172°.

According to the central angle theorem, the measure of the central angle equals the measure of its intercepted arc.

Measure of arc CDE = 360 - m∠COE [central angle theorem]

Measure of arc CDE = 360 - (103+50+35)

Measure of arc CDE = 172°

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Let's calculate the total cost of all the items purchased by the computer club:

Cost of 14 portfolios = 14 * $24.59

Cost of 14 binders = 14 * $12.92

Cost of 14 school sweatshirts = 14 * $14.00

Cost of 14 music cases = 14 * $1.25

Cost of 14 phone cases = 14 * $1.99

Cost of 14 mouse pads = 14 * $2.14

Total cost of all items = Cost of 14 portfolios + Cost of 14 binders + Cost of 14 school sweatshirts + Cost of 14 music cases + Cost of 14 phone cases + Cost of 14 mouse pads

Plugging in the given values:

Total cost of all items = (14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14)

Now, the computer club will pay for 40% of the total cost. To calculate this, we can multiply the total cost by 40% (or 0.40):

Club's payment = 0.40 * Total cost of all items

The remaining cost will be divided equally among the 14 members:

Remaining cost per member = (Total cost of all items - Club's payment) / 14

Plugging in the values and calculating:

Club's payment = 0.40 * ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14))

Remaining cost per member = ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14) - Club's payment) / 14

So, each member of the computer club will owe the calculated value for "Remaining cost per member".

Hope this is good

Answer:

1. Trinomial 2. Trinomial 3. Monomial 4. Binomial 5. Binomial

Step-by-step explanation:

The numbers with variables attached are called terms, and how many there are defines the equation. It doesn't matter how many variables or exponents are attached, there could be none or 15 each to the power of 6 but it's still one term. "Mono" means one, so there's only one term, "Bi" means two, so there are two terms, and "Tri" means three, so there are three terms. "Poly" applies to everything above three, though unused words for the bigger terms do exist.

Hi!

circumference of a circle = \(2\pi r\).

\(2\pi 18\)

\(36\pi\) \(inches\)

(if you use 3.14 as pi, then it would be 113.04 inches)

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Answer:

\(\large\boxed{\tt C = 36 \pi \ in.}\)

Step-by-step explanation:

\(\textsf{We are asked to find the circumference of a circle. There are 2 ways to find the}\)

\(\textsf{Circumference of a circle, including the Radius and the Diameter, either given}\)

\(\textsf{can be used to find the Circumference.}\)

\(\large\underline{\textsf{What is Circumference?}}\)

\(\textsf{Circumference is the area of the perimeter of the circle. Think of the Perimeter}\)

\(\textsf{of shapes, all the sides are added together. The same is with Circles, but it's}\)

\(\textsf{different since Circle's do not have any sides, instead they have arcs. Hence,}\)

\(\textsf{we can say that the Circumference is the sum of all the arcs of a circle.}\)

\(\underline{\textsf{How are we able to find the Circumference?}}\)

\(\textsf{We are able to find the Circumference by using pi, and the radius or diameter.}\)

\(\textsf{The Diameter is multiplied by Pi to equal the exact value of the Circumference.}\)

\(\textsf{It's similar with the Radius, however we have to multiply the Radius by 2 to equal}\)

\(\textsf{the diameter.}\)

\(\underline{\textsf{Formulas;}}\)

\(\tt C = 2 \pi(Radius)\)

\(\tt C = \pi(Diameter)\)

\(\large\underline{\textsf{Finding the Circumference;}}\)

\(\textsf{Since we are given the Radius, let's multiply the Radius by 2.}\)

\(\tt C = 2 \pi (18)\)

\(\tt C = 36 \pi\)

\(\textsf{Now, because the question stated "in terms of pi", this means that we should}\)

\(\textsf{incl\textsf{u}de pi in our answer.}\)

\(\large\underline{\textsf{Hence;}}\)

\(\large\boxed{\tt C = 36 \pi \ in.}\)

\(\large\underline{\textsf{Learn more about Circumference;}}\)

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Answer:

Im pretty sure its 16.64

Step-by-step explanation:

The probability of Roger selling a zucchini bread as the next loaf is 4/21.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The probability of Roger selling a zucchini bread as the next loaf can be found by dividing the number of zucchini breads sold by the total number of breads sold so far.

The total number of breads sold so far is:

11 (banana) + 8 (zucchini) + 9 (cranberry) + 14 (blueberry) = 42

The number of zucchini breads sold is 8.

So the probability that the next loaf Roger sells will be zucchini bread is:

8/42 = 4/21

Therefore, the probability of Roger selling a zucchini bread as the next loaf is 4/21.

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Combining Part 1 and Part 2, we conclude that A with the relative topology is locally compact.

To show that the closed subset A of a locally compact space (X, T) with the relative topology is locally compact, we need to prove two things: that A is locally compact and that it has the relative topology.

Let's break down the proof into two parts:

Part 1: A is locally compact
To show that A is locally compact, we need to prove that for every point x in A, there exists a compact neighborhood of x in A.

Since A is a closed subset of X, its complement X \ A is open in X. By the local compactness of X, for each x in A, there exists a compact neighborhood N of x in X. We can choose N such that N ∩ (X \ A) = ∅, i.e., N is disjoint from the complement of A.

Now, consider the intersection of A with N, denoted as N' = N ∩ A. Since N is compact and A is closed, the intersection N' = N ∩ A is closed in N. Moreover, since N is disjoint from X \ A, N' = N ∩ A is also disjoint from (X \ A) ∩ N, which is the complement of N' in N.

Therefore, N' is a compact neighborhood of x in A. Hence, A is locally compact.

Part 2: A has the relative topology
The relative topology on A is obtained by considering the subset A together with the open sets of X that intersect A. We need to show that the relative topology on A is the same as the topology induced by A as a locally compact space.

Let B be an open set in the relative topology on A. By definition, B = U ∩ A, where U is an open set in X.

We claim that U is also an open set in X with respect to the original topology T. Since X \ A is closed, its complement A = X \ (X \ A) is open. Therefore, U = U ∩ X = (U ∩ A) ∪ (U ∩ (X \ A)) = B ∪ (U ∩ (X \ A)), where B is open in A and U ∩ (X \ A) is open in X \ A. Thus, U is a union of two open sets in X, making it open.

Now, let's consider the topology induced by A as a locally compact space. In this topology, a set C is open in A if and only if C = V ∩ A, where V is an open set in A as a locally compact space.

Since V is open in A as a locally compact space, there exists a compact set K in A such that V contains an open set W in A, i.e., V = W ∪ (K ∩ A). Therefore, V = (W ∪ (K ∩ A)) ∩ A = (W ∩ A) ∪ ((K ∩ A) ∩ A) = W ∩ A.

As a result, the relative topology on A is the same as the topology induced by A as a locally compact space.

Combining Part 1 and Part 2, we conclude that A with the relative topology is locally compact.

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The total number of ways/ permutation that A occupies first position is 24 ,  A occupies the first position, and B the second is 6 and a appears before b is 10 ways.

What is permutation ?

Permutation is a meeting of objects in an exceedingly definite order. The members or components of sets square measure organized here in an exceedingly sequence or linear order.

Main body:

A) a occupies the first position-

As A is first, and arrange the remaining letters.  letters (B,C,D,E,F) can be arranged as-

4*3*2*1 = 24 ways

B) a occupies the first position, and b the second

As A is first and b is just after it , there are 5 position out of which 2 are taken by A, B in order , so number of ways they can be arranged is

3*2*1 = 6 ways

C) a appears before b

in this part there is no  condition that a appears just before b , so b can be places anywhere after A.

after fixing A at first place , B can be placed at 4 places.

after fixing A at 2nd place , B can be placed at 3 places.

after fixing A at 3rd place , B can be placed at 2 places.

after fixing A at 4th  place , B can be placed at 1 places.

total ways = 4+3+2+1 = 10

Hence the answer to these parts are 24, 6,10

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Answer:Y = 7x – 16,

y = 2(2x – 5)

Step-by-step explanation:

he answer to the system of equations is (2,-2)

First, we can substitute in  for y in the other equation

This will give us

Next, we distribute the 2 throughout the parenthesis

Now we can solve for x. Begin by adding 16 to each side

Now we can subtract 4x from each side

Lastly, we can divide each side by 3

Now, we need to substitute in the value that we got for x into one of the equations to find the y value.

This becomes

So

This means that the solution to the system of equations is (2,-2)

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.

In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.

Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.

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If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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Answer:

(x-6)^3

Step-by-step explanation:

\(f(x)=x-6 \\\\g(x)=x^3 \\\\g(f(x))=(x-6)^3\)

Hope this helps!

Answer:

60.32cm

Step-by-step explanation:

I hope it's helpful