When an airplane is 35,000 feet from an air traffic control tower, the angle of elevation between the tower and the airplane is.



What is the approximate altitude, a, of the plane at this point?
A. 45,689 feet
B. 26,812 feet
C. 29,369 feet
D. 41,711 feet

Answer:

16

Step-by-step explanation:

From the question given above, the following data were obtained:

1 = 1

2 = 4

3 = 9

4 =?

Observing the data, we can see that the numbers on the right side are simple the squares of the numbers on the left side. This is illustrated below:

1 = 1² = 1

2 = 2² = 4

3 = 3² = 9

Thus, we shall use the same logic to obtain that of 4. This is illustrated below:

4 = 4² = 16

Thus the answer to the question is 16.

Answer:

Options A, B and D

Step-by-step explanation:

If the two triangles are congruent, their corresponding parts will be congruent.

If ΔABC ≅ ΔDEF

By the property of CPCTC,

AB ≅ DE

AC ≅ DF

BC ≅ EF

∠A ≅ ∠D

∠C ≅ ∠F

∠B ≅ ∠E

Therefore, Options A, B and D are the correct options.

Answer:

x+129=592

Step-by-step explanation:

add 129 to each side

Answer:

688

Step-by-step explanation:

For delta math

Answer:0,5

Step-by-step explanation:

Answer:

4080 gm

Step-by-step explanation:

To bake one cake, it will take us 650 gm flour and 30 gm sugar. When we add both of them together, it gives 680 gm (650+30). But this is only for one cake. To find the total amount of flour and sugar needed to bake 6 cakes, we will have to multiply 680 by 6. That will give you 4080 gm which is your final answer.

Answer:

<5 and <7 are corresponding angles.

Step-by-step explanation:

<5 and <7 are corresponding angles.  They are on the same side of the transversal and on the same position on each of the parallel lines

Answer:

50

Step-by-step explanation:

The given angles in the triangle are vertically opposite angles. Hence;

9x - 4 = 8 + 7x

Collect the like terms

9x - 7x = 8 + 4

2x = 12

x = 12/2

x = 6

Get the bolded angle

Bolded angle= 8 + 7x

Blded angle = 8 + 7(6)

Bolded angle = 8 + 42

Bolded angle = 50

Answer:

hey um I cant see the picture

Answer:

3

Step-by-step explanation:

[tex]\sqrt{9}=\sqrt{3*3} = 3[/tex]

Answer:

p = 28.56

Step-by-step explanation:

Circumference of circle

c = 2πr

Since this is a semicircle the perimeter is half the circumference

p = πr

p = 3.14 * 4

p = 12.56

---------------------------

Triangle

the outer perineter is just the two outer sides

p = 6 + 10

p = 16

-------------------------

total outer perimeter

p = 12.56 + 16

p = 28.56

Answer:

Step-by-step explanation:

No. 1 “The printing of more

currency notes will increase inflation.”

Answer:

12.3 Gallons

Step-by-step explanation:

Options of the question:-

Option A. 12.33 gallons

Option B. 10 gallons

Option C. 12 gallons

Option D. 12.3 gallons

Option D is the answer :-

As the least count or zero error is 0.1 so it can measure only upto one decimal place so answer will be 12.3

Answer:

m∠A = 32°

Step-by-step explanation:

8^2 = 12^2 + 15^2 - 2*12*15*cosA

Answer:

B

Step-by-step explanation:

did it on edge

Answer:

y = (-1/5)x + 23/5

Step-by-step explanation:

Given:

Two points;

(-2,5) and (3,4)

Find:

Equation of slope

Computation:

y = mx + b

5 = m(-2) + b

5 = -2m + b .......... Eq1

4 = m(3) + b

4 = 3m + b .......... Eq2

Eq2 - Eq1

-1 = 5m

m = -1/5

5 = -2m + b

5 = -2(-1/5) + b

5 = 2/5 + b

b = 23/5

y = mx + b

y = (-1/5)x + 23/5

Answer:

$10.90

Step-by-step explanation:

I don't know why but it wants me to talk when I dont need to

Answer:

theta = arctan 8/5 = 58 degrees

Step-by-step explanation:

The tangent function relates the angle theta to the two side lengths 5 and 8:

tan theta = 8/5               We need to find the angle, theta.

Using a calculator with the inverse tangent funtion built-in, we find that the angle theta is

theta = arctan 8/5 = 58 degrees.

Answer:

B-100 If the price of tacos is $1.75, th consumers will buy 100 tacos

Answer: [tex]6x^3 +30x^2 +4x+20[/tex]

Step-by-step explanation:

[tex](6x^2 +4)(x+5)\\\\ =6x^3 +30x^2 +4x+20[/tex]

Answer:

The answer is "9 and 7".

Step-by-step explanation:

Given:

[tex]A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right][/tex]

Using formula:

[tex]|A-\lambda \cdot I|= 0\\\\[/tex]

[tex]\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\[/tex]

[tex]\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\[/tex]

Answer:

1

Step-by-step explanation:

Slope = change in y over change in x

If you look at the graph as y goes up 1 x goes up 1

So slope = 1/1 or just 1

Answer:

m=1

Step-by-step explanation:

Hi there!

We're given the graph of a line and we need to find the slope of the line

There are many ways to do this, but the easiest is to calculate it from two points

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) are points

So we can take 2 points from the graph of the line to find the slope

For example, let's take (-1,0) and (0,1)

Let's label their values to avoid any confusion before we substitute their values into the formula

[tex]x_{1}[/tex]=-1

[tex]y_{1}[/tex]=0

[tex]x_{2}[/tex]=0

[tex]y_{2}[/tex]=1

now substitute into the formula *remember: we have SUBTRACTION in the slope formula

m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

substitute

m=[tex]\frac{1-0}{0--1}[/tex]

simplify

m[tex]\frac{1}{0+1}[/tex]

simplify again

m=[tex]\frac{1}{1}[/tex]

divide

m=1

Therefore the slope of the line is 1

Hope this helps! :)

Answer:

-3/2

Step-by-step explanation:

Additive inverse of 2 = -2

Multiplicative inverse of 2 = ½

→ Sum = -2 + ½

→ Sum = (-4 + 1)/2

→ Sum = -3/2

Given:

The graph of a function.

As [tex]x\to -5^-, f(x)\to \_\_\_[/tex].

As [tex]x\to -5^+, f(x)\to \_\_\_[/tex]

To find:

The correct values for the given blanks.

Solution:

From the given graph it is clear that the function approaches to infinity as x approaches to -5 from the left side. So,

As [tex]x\to -5^-, f(x)\to \infty[/tex].

From the given graph it is clear that the function approaches to negative infinity as x approaches to -5 from the right side. So,

As [tex]x\to -5^+, f(x)\to -\infty[/tex].

Therefore, the correct option (d).

Answer:

5 days

Step-by-step explanation:

75 = 10d +25

-25           -25

50 = 10d

/           /

10        10

5 = d

Answer:

1/3a

Step-by-step explanation:

[tex] \frac{(a - 3)}{15a} \times \frac{5}{(a - 3)} = \frac{5}{15a} = \frac{1}{3a} [/tex]

Answer:

what is the following

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

ABCD is a parallelogram having vertices A(0,7) and C(2, 1).

Therefore, length of diagonal AC = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                                       = [tex]\sqrt{(0-2)^2+(7-1)^2}[/tex]

                                                       = [tex]\sqrt{40}[/tex]

Since, diagonals of a rectangle measure the same and bisect each other,

Length of other diagonal BD will also measure [tex]\sqrt{40}[/tex].

Therefore, Option (2) will be the correct option.

Answer:

B. L BAT = L CAT

Step-by-step explanation:

__________

Answer:

1. A. Quantitative data

B. Quantitative data

C. Qualitative data

D. Quantitative data

E. Qualitative data

F. Quantitative data

2.a. Yearly salaries: interval or ratio data

b. Employee numbers: interval or ratio data

c. Area codes : nominal data

d. The ages: interval or ratio data

e. Survey answers: ordinal data

f. IQ index: interval or ratio data

Explanation:

Qualitative data is data in the form of a quality such as a characteristic. It is usually a noun, such as whether a person is fair or dark in complexion. Quantitative data is data in form of quantity such as the amount in dollars of one's salary.

There are four levels of data measurement. They are: nominal data, ordinal data, interval data, and ratio data. Nominal and ordinal data are qualitative data while interval and ratio data are quantitative data.