In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half of the length of AB. If sin A = 0.5, then what is sin E?
A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1

No, it does not make sense that the probability of cats falling from the 5th floor would be greater than those of the 4th. The force of gravity is the same regardless of the floor, so the number of cats falling should be the same no matter what floor they start from.

The force of gravity is a constant force that is the same on all floors. This means that the same amount of force is acting on the cats, no matter which floor they start from. Therefore, the number of cats falling from the 5th floor should be the same as the number falling from the 4th floor. The number of cats falling from a higher floor may be greater if there are extra factors, such as wind, that could affect their fall, but the force of gravity does not change with the floor. Therefore, it does not make sense for the number of cats falling from the 5th floor to be greater than those of the 4th

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Answer: 17.5

Step-by-step explanation:

First find the two numbers (data values) that are in the middle. Thats 15 and 20. When you have two numbers in the middle of a data set you average them. (Buy adding 15 and 20 then dividing by 2) So the answer is 17.5

Therefore, it takes four days for the rain gauge to be free of water. The answer is option D, day 7.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation usually contains one or more variables, which are symbols that represent unknown or varying quantities. The values of the variables that satisfy the equation are called the solutions of the equation.

Here,

Let's start by finding out how much water is left in the gauge after one day of evaporation and addition. If the rain gauge had 10 inches of water at the start of the week, then after one day:

4 inches of water would have evaporated, leaving 10 - 4 = 6 inches of water.

2 more inches of rain would have fallen, bringing the total to 6 + 2 = 8 inches of water.

So after one day, the rain gauge has 8 inches of water.

Now we need to repeat this process until there is no water left in the gauge.

After the second day:

4 more inches of water would have evaporated, leaving 8 - 4 = 4 inches of water.

2 more inches of rain would have fallen, bringing the total to 4 + 2 = 6 inches of water.

After the third day:

4 more inches of water would have evaporated, leaving 6 - 4 = 2 inches of water.

2 more inches of rain would have fallen, bringing the total to 2 + 2 = 4 inches of water.

After the fourth day:

4 more inches of water would have evaporated, leaving 4 - 4 = 0 inches of water.

2 more inches of rain would have fallen, but it would not have filled the gauge since it was already empty.

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Answer:

2097152 is the answer to your question

Answer:

2,097,152

Step-by-step explanation:

8 to the 5th power is 32,768 and 2 to the 2nd is 64

We multiply those two numbers, and we get 2,097,152

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Answer:

I believe there is an error because none of them are the answers

Step-by-step explanation:

4y=6

y=6/4

y-1=-14

y=-13

214+y=4

y=-210

8y=9

y=9/8

Answer:

30 if I divided correctly ☺

Step-by-step explanation:

Answer:

\(\boxed {\boxed {\sf 30 \ houses}}\)

Step-by-step explanation:

Each house uses 1/4 acres and there is a total of 7 1/2 acres. Therefore, we can divide the total land by the land used for one house.

\(7 \frac{1}{2} \div \frac{1}{4}\)

First, convert the mixed number to an improper fraction.

An easy way to do this is by multiplying the denominator or bottom number of the fraction (2) by the whole number (7). Then, add the numerator (1).

This becomes the numerator of the improper fraction and the denominator stays the same. The fraction is 15/2

\(\frac{15}{2} \div \frac{1}{4}\)

Now, divide the fractions. Multiply by the reciprocal of the second fraction and follow Keep Change Flip.

Keep the first fraction. Change the division sign to a multiplication symbol.

\(\frac{15}{2} \times \frac{1}{4}\)

Flip the second fraction. Switch the numerator and denominator.

\(\frac{15}{2} \times \frac{4}{1}\)

Multiply across.

\(\frac{(15*4)}{(2*1)}\)

\(\frac{60}{2} =30\)

30 houses can be built.

Answer:

are EQUAL because they are VERTICAL angles.

Step-by-step explanation:

Answer:

congruent because they are vertical

Step-by-step explanation:

Answer:

maybe A

Step-by-step explanation:

Answer: 490

Step-by-step explanation: Add 326 and 164, which gets you 490. To check your work, substitute z with 490

Answer:

XY= 12

Step-by-step explanation:

Please see attached picture for full solution.

2n+3

hope it's helpful ❤❤❤

THANK YOU

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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Answer:

113 + 22 = 135

113.5 + 22.41 = 135.91

The answer would be 135.91

Step-by-step explanation:

Step-by-step explanation:

Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90.

If one of the angle is 90 degrees, it would mean that he has drawn a right angle triangle.

Hypotenuse is the longest side of the triangle. We can find it using Pythagoras theorem as follows:

\(h=\sqrt{5^{2}+12^{2}}\\\\=13\)

The longest side is 13 cm.

If we keep the longest side the same and if two sides i.e. 5 cm and 12 cm are replaced, a new triangle can form.

The order pair of point B is (1.75,1.25).

What is order pair?

 A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane. Two numbers in a specific order. Usually, parentheses are used to write this: (12,5)

This can be used to display a graph's position where the "x" (horizontal) value appears first and the "y" (vertical) value appears second.

(12,5) is therefore 12 units down and 5 units up.

Here the given point B is,

coordinate value of x axis= 1.75

coordinate value of y axis = 1.5

Then the order pair of point B is,

=> (x,y) =(1.75,1.5)

Hence the order pair of B is (1.75,1.25).

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Answer:

$450

Step-by-step explanation:

let the price of the bench = x

Then, the price of the table is x + 87.

x + x + 87 = 987

2x + 87 = 987

2x = 900

x = 450

Answer: $450

Answer:

The property that is shown here is communitive property.

Step-by-step explanation:

It is that because the number are switched but you can still get the same answers.

Answer:

7

Step-by-step explanation:

If you put all the numbers in order, 5, 5, 5, 7, 8, 9, 9, you can clearly see that 7 is in the middle, and therefore it is the median.

The median of the numbers is 7.

"The median is the middle number in a sorted, ascending or descending list of numbers and can be more descriptive of that data set than the average. It is the point above and below which half (50%) the observed data falls, and so represents the midpoint of the data.

The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation."

Given,

The numbers are 7, 5, 9, 8, 5, 5, 9

Arrange the data set in ascending order

⇒ 5, 5, 5, 7, 8, 9, 9

The median of the numbers is = \((n+1)/2\) th term

So, it is (7+1)/2

= 4th term i.e. 7

Hence, the median of the given numbers is 7.

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Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side

Using the Pythagoras theorem

That's

\( {a}^{2} = {b}^{2} + {c}^{2} \)

From the question

x is the hypotenuse or the longest side of the triangle

Substituting the values into the above formula we have

\( {x}^{2} = {9}^{2} + {7}^{2} \)

\( {x}^{2} = 81 + 49\)

\( {x}^{2} = 130\)

Find the square root of both sides

We have the final answer as

Hope this helps you

Answer:

take 95% and 0.06 and find what is half of 95 and then multiply that by 95 and then put it in a fraction. amd circle your final answer

Answer:

12

Step-by-step explanation:

5x4=20

3x4=12

Answer:

12 Parts Red

Step-by-step explanation:

5*4=20

3*4=12

12 Parts Red

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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Answer:

The answer is " 34 Cups".

Step-by-step explanation:

4 quarts of pineapple juice= 16 cups

7 pines of milk = 14 cups

4 cups apple juice is the same= 4 cups

Calculating the overall cups:

\(\to 16+14+4\\\\\to 34 \ cups\)

Answer:

We are given a length of 27 cm and a width of 16 cm and we can also see that our figure is a rectangle.  This means that we are able to use the area formula for the rectangle which is \(A=l*w\).

Therefore, we can just multiply 27 cm by 16 cm and we get \(A = 432\ cm^2\)

Hope this helps!  Let me know if you have any questions

Answer:

4x²y* (-6xy²)= -24x³y³

We are asked to simply the following polynomial

Let us find the product of the above polynomial and simplify it

Therefore, the simplified polynomial is

The degree of a polynomial is the highest exponent (power)

For the given case, the highest exponent is 2

Therefore, the degree

Answer:

Step-by-step explanation:

Answer is
f(x)= 2x-10

g(x)= 2x+6

You can also tell from the colored lines on the graph

or from where the lines intersect