an airplane is flying at the height of 10 km above the ground the distance along the ground from the airplane to the airport is 10√3 km . what is the angle of depression from the airplane to the ground​

Answer:

2√6

Step-by-step explanation:

find the hypotenuse of the triangle thats 3 and 7

pythagorean

3 squared + 7 squared

16 + 49 = 57

√57 is the hypotenuse

√57 is also the base of the triangle that has side thats 9

pythagorean theorem

x squared + √57 squared = 9 squared

x^2 + 57 = 81

x^2 = 81 - 57

x^2 = 24

x = √24

x = √4 * √6

x = 2√6

Answer:

a. I'm not sure if there's more to the question but I can't answer without knowing how many is the whole class

B. 12 boys

Answer:

c = 14√3 km

Step-by-step explanation:

[tex]x\sqrt{3} =42\Longrightarrow x=\frac{42}{\sqrt{3} } = \frac{42 \times \sqrt{3} }{\sqrt{3}\times \sqrt{3} }=\frac{42 \times \sqrt{3} }{3 }=14 \sqrt{3}[/tex]

Since c = x

Then

c = 14√3

Using it's concept, it is found that the probability that three randomly chosen students will all stay after school for extracurricular activities today is of [tex]\frac{1}{216}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, for each student, one out of six rolls represent staying after school, hence there is a [tex]\frac{1}{6}[/tex] probability they stay after school. For the three students, the probability is given by:

[tex]p = \left(\frac{1}{6}\right)^3 = \frac{1}{216}[/tex]

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Answer:

Step-by-step explanation:

Let the speed of the car is c and speed of the plane is p.

The speed of the plane is 7 times the speed of the car

The distance traveled is

The time difference to travel this same distance is 3 hours.

Find the time for car and plane and their difference.

Solve it for c:

Now find the speed of plane:

As we see, Jenny is right

Answer:

79% of females are attending the class field trip

Step-by-step explanation:

Question Breakdown:

- Survey 271 students

- 121 males respond, 92 attending field trip

- 31 females not attending field trip

What percent of females are attending the class field trip?​

The two-way table or the class whether they are attending the field trip or not is attached below,

The table tells us

• Males who are not attending : 121 - 192 = 29

• Total females who responded : 271 - 121 = 150

• Females who are attending : 250 - 31 = 119

• Total students who are attending : 91 + 119 = 211

• Total students who are not attending : 29 +31 = 60

There are a total of 150 female students and 119 of them are attending the field trip

[tex]\frac{119}{150} = 0.79 x 100 = 79%[/tex]

The time taken that the aliens on Vormir will be waiting is 6 days.

From the information given, the speed ia given as 0.7 and the time taken is given as 8.5. It should be noted that the formula for calculating distance will be:

Time = Speed × Distance

Time = 0.7 × 8.5

Time = 6 days approximately.

Therefore, the correct option is D.

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Answer:

4.66

14÷ 3 = 4 r 2

add 0 to 2 ( this attracts a decimal point in your answer)

20 ÷ 3 = 6r 2

and = 4.66

Answer:

skewed to the right

Step-by-step explanation:

The truck bed is 40cm .

A right-angled triangle is a triangle with one of its angle 90°.

Analysis:

The ramp, the height of the truck bed from ground and the distance of truck bed to the point the ramp makes contact with the ground form a right angle triangle.

So that sin 30 = height of truck bed above ground/length of ramp

sin 30 = height/80

height of the truck = 0.5 x 80 = 40cm

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Answer:

250 [tex]cm^{3}[/tex]

Step-by-step explanation:

First, start with the formula for the volume of a rectangular prism (aka a box):

V=length*width*height

Then, plug in your values:

V=5*5*10

V=25*10

V=250

Don't forget your units!

250 [tex]cm^{3}[/tex]

Let's consider first what equation we must use:

 ⇒ use Combination Formula ⇒ [tex]._{n} C_{r}=\frac{n!}{r!(n-r)!}[/tex]

      ⇒ where 'n'  is the total number of items and 'r'

      is the number of items to choose

Let's look at the problem:

Let's plug it in:

 [tex]\frac{18!}{4!*(18-4)!} =\frac{18!}{4!*14!} =\frac{18*17*16*15}{4*3*2*1} =18*17*2*5=3060[/tex]

Thus there are 3060 ways

Answer: 3060 ways

Hope that helps!

The verbal translation of p v q is:

A student is in math club OR debate club

pvq is true for a total of 28 students.

Given the table:

7                                           15

6      

If p represents a student from the maths club

If a represents a student from the debate club

The verbal translation of p v q is:

A student is in math club OR debate club

Hence, the total number of students based on pvq is 7 + 6 + 15= 28 students.

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Answer:

A.  80 cm²

Step-by-step explanation:

If a square pyramid has an open base, then the surface area is made up of the 4 congruent triangular sides only.

Area of a triangle = 1/2 × base × height

Given:

⇒ Area of one triangular face = 1/2 × 8 × 5

                                                 = 20 cm²

⇒ Total surface area = 4 triangular faces

                                   = 4 × 20

                                   = 80 cm²

Answer:

80 cm²

Step-by-step explanation:

I did it and I got it right

Answer:

f(x)= 2x² - 4x + 3

Step-by-step explanation:

dy/dx = 4x - 4

y = integrate dy/dx

y = 4x²/2 - 4x + c

y = 2x² - 4x + c

at (2,3)

3 = 2(2)² - 4(2) + c

3 = 8 -8 + c

c = 3

therefore f(x)= y = 2x² - 4x + 3

The graph of the function is given by f ( x ) = 2x² - 4x + 3

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

At each point (x, y) on a graph of function f, the graph has a slope equal to 4x - 4

So , dy/dx = 4x - 4

On integrating , we get

f ( x ) = 2x² - 4x + c

where the function passes through P ( 2 , 3 )

So , 3 = 2 ( 2 )² - 4 ( 2 ) + c

c = 3

Hence , the function is f ( x ) = 2x² - 4x + 3

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Step-by-step explanation:

Soln:-

Given,

Area of sticker=56 cm^2

Width of sticker=7 cm

Length of sticker=?

We know that,

Area of rectangle=l×b

or,56=l×7

or,l=56÷7

•°•l=8

Hence,the required length of the sticker is 8 cm.

Answer: The correct answer is D.

Step-by-step explanation: A and B is incorrect because the x value is 0. C is incorrect because the y-intercept is 3, not -3. Hence, it is D.

Answer

The type of function that is represented by the table of values below is C. linear

Answer:

1.5 hours

As a general rule, 1,000 square feet of the house should take 1.5 hours to clean, according to Cleaning 4 Profit. So a 3,000 square feet home should take 3 hours to clean, and so on.

Answer:

1 14/15

Step-by-step explanation:

Change 3 2/3 into an improper fraction, which is 11/3. When multiplying fractions, you can multiply straight across, so 11*4= 44 and 3*5 equals 15. 44/15 as a mixed fraction is 1 14/15

Answer:

[tex]{ \tt{f(x).g(x) = ( - 3 {x}^{2} + 4)( { - 8x }^{2} + 2x) }} \\ = { \tt{( - 3 \times - 8) {x}^{(2 + 2)} + (2 \times - 3) {x}^{(2 + 1)} + ( - 8 \times 4) {x}^{2} + (4 \times 2)x }} \\ = { \tt{24 {x}^{4} - 6 {x}^{3} - 32 {x}^{2} + 8x}}[/tex]

Answer:

Can't see the problem. Send a picture of it.

Answer:

Always

Step-by-step explanation:

The alternate interiors are the orange pair and the green pair in between lines a and b. They've got symmetry! Rotating one of those lines 180 degrees won't change the picture or the angles of intersection, but it will flip one onto the other. Anyway, there's you answer above, if that's all you're looking for.

Using limits, considering the end behavior of the function f(x), it is found that the correct statement is given as follows:

D. a is positive, and b is odd.

It is given by it's limits as x goes to negative and positive infinity.

In this problem, we have that, considering the end behavior:

This will only be true if a is positive and b is odd, hence option D is correct.

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The expected value if I have to pick one package given the price I would have to pay is $0.11.

The expected value is the cost you would have to pay subtracted from the total value of one package.

Total value of one package  =[ (15 x 0.60) + (5 x 0.3) + (20 x 0.7)]/ (20 + 15 + 5) = $0.61

Expected value = $0.61 - $0.50 = $0.11

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