MATHEMATICS MIDDLE SCHOOL

A falcon flying at a height of 200 yards spots a sparrow flying at a height of 150 yards. The location of the sparrow makes an angle of 40° from the horizontal line through the falcon's location. What is the distance x between the falcon and the sparrow? Assume that the ground beneath the birds is level.

Answers

Answer 1

Answer:

Answer:

77.79 yard

Step-by-step explanation:

Given in the question that,

falcon flying at a height of 200 yards

sparrow flying at a height of 150 yards

Suppose, distance between Falcon and Sparrow = x yards

Step 1

Difference between the height of falcon and sparrow = 200-150 = 50 yards

Step 2

We will use Trigonometry Identity to find the distance between Falcon and Sparrow

SinФ = opposite / hypotenuse

Sin(40) = 50 / x

x = 50 / Sin(40)

x = 77.79 yard

Answer 2

Answer:

Answer:

Step-by-step explanation:

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What is 3 multiplies itself by 1000 times?

Answers

Answer:

3 to the 1000th power

Step-by-step explanation:

If you have two numbers, one the power of the other, A the power of B it means you have to multiply A by itself B times( in this case B is 1000)

5(x + 3)= 4(x -3)
What is x?

Answers

Answer:

Step-by-step explanation:

We will have to open the bracket first followed by collecting the like terms

Open the bracket first

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

5x+15=4x-12

Collect like terms

5x-4x=-12-15

x=-27

So the final answer is-27

Answer:

-27

Step-by-step explanation:

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

5x + 15 = 4x - 12

5x - 4x = -12 - 15

X = -27

Find the volume of a cone with a radius of 4ft and a height of 12ft. Give your answer in terms of pie

Answers

Answer: 64π ft³

Step-by-step explanation: To find the volume of a cone, start with the formula for the volume of a cone which is shown below.

$Volume = (1)/(3) \pi r^(2) h$

Here, notice that our cone has a radius of 4 feet and a height of 12 feet so plugging into the formula, we have $((1)/(3))(\pi)(4 ft^(2))(12 ft)$

Start by simplifying the exponent and moving π to the end.

So we have $((1)/(3))(16 ft^(2))(12 ft)(\pi)$ .

Next, notice that the 3 in 1/3 and 12 cross cancel to 1 and 4.

Now multiplying, $(1)(16 ft^(2))(4 ft)$ is 64 ft².

So we have 64π ft³. This will be your answer

So the volume of the cone is 64π ft³.

Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the volume py plugging in 3.14 for π.

So we have $(64)(3.14)$ which is equal to 200.96 ft³.

So the volume of the cone is approximately equal to 200.96 ft³.

Answer:

Step-by-step explanation:

There are 25 students performing in the holiday concert. Of the students, 11 are boys. What percent of the students are boy's? Please show work

Answers

There are 25 students performing in the holiday concert. Of the students, 11 are boys. The percentage of students that are boys are 44%

From the given information;

In a holiday concert, there are 25 students participating actively in it.

If 25 students are equivalent to 100 percent;

The percentage for one student will be:

$\mathbf{= (1 \ student * 100 \%)/(25 \ students)}$

= 4%

The percentage of 1 student = 4%.

Now, of the students, 11 are boys and we are to determine the percentage of students that are boys:

∴

The number of students that are boys = 11 × 4%

= 44%

Therefore, we can conclude that the number of students that are boys is 44%.

Learn more about percentage here:

brainly.com/question/2155156?referrer=searchResults

Total students = 25

Boys = 11

Girls = 25-11 = 14

To find the percent of boys, you need to do:

11/25 * 100

1100/25 = 44

Therefore, 44% of boys are there in class.

I have 28 cubes. How many tens and ones can I make? -----tens ----ones ten------ ones

Answers

You can make 2 tens and 8 ones

2 tens 2x10=20
8 ones

1. find the sum of the following numbers: -4, 7, -3, -12, 92. find the sum of the following numbers: -5, -8, -10, 23

Answers

$= ( - 3 - 4 - 12) + (7 + 9)$

$= - 19 + 16$

$= - 3$

$= ( - 5 - 8 - 10) + 23$

$= - 23 + 23$

$= 0$

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