A balloon is connected to a meteorological station by a cable of length 200 m inclined at 60 degree angle. Find the height of the balloon from the ground. ( imagine that there is no slack in the cable)

Answer:

88.3

Step-by-step explanation:

The answer is 88.3.

Answer: A. XZ is longer than XY

Step-by-step explanation: quiz A-P-E-X

Answer:

C

Step-by-step explanation:

The 3 sets of data with the same median but different mean are given as follows:

The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.

The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.

Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.

Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.

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If 30% children travelling by bus is represented by 360 children, then total number of students who attended the school are 1200.

The "Percent" is a way of expressing a fraction or proportion as a number out of 100. It is a unit of measurement used to represent the relative size or amount of something compared to the whole.

If 30% of the children at a particular school travel by bus and this represents 360 children, we use this data to find total number of children who attend the school.

Let "X" be = total number of children at the school.

We know that 30% of X represents 360 children, so we can write an equation:

⇒ 30% of X = 360,

⇒ 30% × X = 360,

⇒ 0.3 × X = 360,            ...because 30% = 0.3,

⇒ X = 360/0.3 = 1200,

Therefore, there are 1200 students who attend the school.

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Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

Answer:

To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.

From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 15% * 33/12) = $20,700

Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 18% * 38/12) = $21,240

Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:

Percent increase = |(New value - Old value) / Old value| * 100%

Plugging in the values, we get:

Percent increase = |($21,240 - $20,700) / $20,700| * 100%

Percent increase = 2.6%

Rounding to the nearest tenth, we get the final answer as:

Percent increase = 2.6% ≈ 2.5%   (rounded to the nearest tenth)

Therefore, the answer is O 2.5%.

Step-by-step explanation:

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:50

Step-by-step explanation:

Answer:

2.25 feet

Step-by-step explanation:

100%-75 = 25%

25 percent of 9 = 9 x 0.25

25% = 2.25

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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The mean and the variance of the poisson distribution are;

Mean = 2.66

Variance = 1.277

The formula for the PMF of a Poisson distribution is;

p(x:λ) = [e^(-λ) * λ^(x)]/x! for x = 0, 1, 2......

Thus;

p(x = 0) =  [e^(-λ) * λ^(0)]/0!

e^(-λ) = 0.07

λ = - In 0.07

λ = 2.66

That is the mean

Variance is square root of standard deviation;

Variance = √√(2.66)

Variance = 1.277

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Answer:

2.65926003693 for mean and variance.

Step-by-step explanation:

First of all, when it comes to Poisson distributions, the mean and variance equal the same thing. Here we can find the mean using e^-(lambda)=0.07 therefore lambda= -ln(0.07) which equals 2.65926003693 for both.

Then x = -3.5, correct step to find x and y is to add the equations to eliminate x.

To find the values of x and y from the given equations, we need to use a method to eliminate one of the variables. In this case, we can use the method of adding the equations to eliminate x. Adding the two equations gives us:

y + y = x + 15 - x + 8

Simplifying the above equation gives us:

2y = 23

Therefore, y = 11.5

Substituting the value of y in any of the given equations, we can find the value of x. Using the equation y = x + 15, we have:

11.5 = x + 15

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There are 252 possible combinations of questions.

What are combinations?

To find the number of combinations of questions possible, we can use the formula for combinations:

C(n, r) = n! / (r! * (n-r)!)

where n is the total number of items to choose from and r is the number of items to choose. In this case, n = 10 (the number of questions) and r = 5 (the number of questions to choose).

C(10, 5) = 10! / (5! * (10-5)!)

= (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1)

= 252

Therefore, there are 252 possible combinations of questions.

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Complete question is: A teacher has 10 test questions to choose from to make up a five-question section of an examen. there are 252 combinations of questions are possible.

Perimiter is adding up all sides A+B+C+D.

Rectangles have two sets of parallel lines the height and the width.

If we know one of the heights is 7 the. We can conclude the parallel side is also 7

So then the total perimiter 34 minus the heights is 20.

We know that there is another set of parallel sides, remaining and 20 is how perimiter is left

… so if you divide by 2 your left with one side which is the width

Answer 10

Answer: (5, 42)

Step-by-step explanation:

22 + 4x= 42

if we test the options we will see this is the only one that works

42 - 22 = 20

4x = 20

x= 5

which is equal to X the number of weeks they have gotten the allowance.

Answer:

288in^2

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

First you add all of the marbles in the bag which is 16 marbles.  The fraction of red marbles to the total would be 4/16.  In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.

Answer:

x=24

Step-by-step explanation:

0.22(x+6)=0.2x+1.8

simplify the given equation

0.22x+1.32=0.2x+1.8

shift same kind of variables on one side

0.22x-0.2x=1.8-1.32

0.02x=0.48

For x

x=0.48/0.02

x=24

Check:

For checking subsitute the calculated value x if both sides of x are equal  then its true...

0.22(24+6)=0.2(24)+1.8

5.28+1.32=4.8+1.8

6.6=6.6

Answer:

-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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The length of the diagonal brace when Jonathan is building a box in the shape of a rectangular prism is 17 inches.

From the information given, the dimensions are given as 8 inches by 12 inches by 9 inches.

Therefore, the length of the diagonal brace will be:

= ✓12 + ✓8 + ✓9

= ✓289

= 17

In conclusion, the correct option is 17 inches.

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Answer:

She kills all 6 and takes the money and keeps it for her self.

Answer:

32:24

Step-by-step explanation:

Answer:

32/24

Step-by-step explanation:

Given rectangle: 2 feet by 8 feet. Similar rectangle: Option A (4 feet by 16 feet).

Use the concept of the rectangle defined as:

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Given that,

Rectangle dimensions: 2 feet by 8 feet

And here are the options provided:

A) 4 feet by 16 feet

B) 6 feet by 12 feet

C) 12 feet by 32 feet

D) 22 feet by 28 feet

To determine if two rectangles are similar,

Compare their corresponding side lengths.

In this case,

A rectangle with dimensions 2 feet by 8 feet.

After simplifying it we can write 1:4

Let's check each option to see if it matches the similarity:

A) 4 feet by 16 feet:

The ratio of the corresponding side lengths is 2:8, which simplifies to 1:4. However, the given rectangle has side lengths of 4:16,

Which simplifies to 1:4 as well.

So, option A is similar to the given rectangle.

B) 6 feet by 12 feet:

The given rectangle has side lengths of 6:12,

Which simplifies to 1:2.

So, option B is not similar to the given rectangle.

C) 12 feet by 32 feet:

The given rectangle has side lengths of 12:32,

Which simplifies to 3:8.

So, option C is not similar to the given rectangle.

D) 22 feet by 28 feet:

The given rectangle has side lengths of 22:28,

Which simplifies to 11:14.

So, option D is not similar to the given rectangle.

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