An airplane is taking off at angle of 9 degrees and traveling at a speed of 200 feet per second in relation to the ground. If the clouds begin at an altitude of 4,000 feet, how many seconds will it take for the airplane to be in the clouds?

Answers

Answer 1

ANSWER

[tex]\begin{equation*} 127.85\text{ }seconds \end{equation*}[/tex]

EXPLANATION

First, let us make a sketch of the problem:

To find the time it will take the airplane to be in the clouds, we first have to find the distance flown by the airplane in attaining that height, x.

To do this, apply trigonometric ratios SOHCAHTOA for right triangles:

[tex]\sin9=\frac{4000}{x}[/tex]

Solve for x:

[tex]\begin{gathered} x=\frac{4000}{\sin9} \\ x=25,569.81\text{ }ft \end{gathered}[/tex]

Now, that we have the distance, we can solve for the time by applying the relationship between speed and distance:

[tex]\begin{gathered} speed=\frac{distance}{time} \\ \Rightarrow time=\frac{distance}{speed} \end{gathered}[/tex]

Substitute the given values into the formula above and solve for time:

[tex]\begin{gathered} time=\frac{25569.81}{200} \\ time=127.85\text{ }seconds \end{gathered}[/tex]

That is the number of seconds that it will take.

An Airplane Is Taking Off At Angle Of 9 Degrees And Traveling At A Speed Of 200 Feet Per Second In Relation

Related Questions

I will show you the pic

Answers

We are given the following system of equations:

[tex]\begin{gathered} 6x-4y=-8,(1) \\ y=-6x+2,(2) \end{gathered}[/tex]

To solve this system by substitution we will replace the value of "y" from equation (2) in equation (1)

[tex]6x-4(-6x+2)=-8[/tex]

Now we use the distributive property:

[tex]6x+24x-8=-8[/tex]

Now we add like terms:

[tex]30x-8=-8[/tex]

Now we add 8 to both sides:

[tex]30x-8+8=-8+8[/tex]

Solving the operations:

[tex]30x=0[/tex]

Dividing by 30:

[tex]x=\frac{0}{30}=0[/tex]

Therefore x = 0. Now we replace the value of "x" in equation (2):

[tex]\begin{gathered} y=-6x+2 \\ y=-6(0)+2 \\ y=2 \end{gathered}[/tex]

Therefore, the solution of the system is:

[tex](x,y)=(0,2)[/tex]

I’m trying to understand where I should shade a graph given the narrative

Answers

we have the system

[tex]\begin{gathered} x+y\leq4 \\ y\leq-x+4 \end{gathered}[/tex]

The solution to the first inequality is the shaded area below the solid line y=-x+4

[tex]x\ge2[/tex]

The solution to the second inequality is the shaded area to the right of the solid vertical line x=2

therefore

The solution to the system is the shaded area below the solid line y=-x+4 and to the right of the solid vertical line x=2

using a graphing tool

see the attached figure below

The solution is the triangular area

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5 minutes and the standard deviation of the waiting time is 3 minutes. Find the probability that a person will wait for more than 1 minute. Round your answer to four decimal places.

Answers

We were given the following details:

This is a normal distribution. Normal distributions are solved using the z-score

[tex]\begin{gathered} \mu=5min \\ \sigma=3min \end{gathered}[/tex]

The z-score for a value, X is calculated using the formula:

[tex]\begin{gathered} Z=\frac{X-\mu}{\sigma} \\ The\text{ probability that a person will wait more than 1 minute implies that: }X=1 \\ Z=\frac{1-5}{3} \\ Z=-\frac{4}{3} \\ At\text{ Z =}-\frac{4}{3}\text{, pvalue =}0.091759 \\ The\text{ probability that a person waits more than 1 minute is given by:} \\ P=1-0.091759 \\ P=0.908241\approx0.9082 \\ P=0.9082\text{ or }90.82\text{\%} \end{gathered}[/tex]

Application machinist is drawing a triangular piece of an industrial machine. Write an equation and solve to find the value of x. Show your work?

Answers

Answer:

125

Step-by-step explanation:180=180-(2x+45)+x+80

2x-x=80+45

x=125

Karine invests $6,100 in an account with an annual interest rate of 4.5% compounded daily for 2 years.What is the return on investment for Karine's account?

Answers

Answer:

The return on investment for Katerine's account = 9.4%

Explanation:

Amount invested is the principal

Principal, P = $6,100

Annual Interest Rate, r = 4.5% = 0.045

The interest is compounded daily

Number of times the interest is compounded per year, n = 365

Number of years, t = 2 years

The amount after 2 years is calculated as:

[tex]\begin{gathered} A(t)=P(1+\frac{r}{n})^{nt} \\ A=6100(1+\frac{0.045}{365})^{365(2)} \\ A=6100(1.094) \\ A=6673.4 \end{gathered}[/tex]

The amount after 2 years = $6673.4

The interest = Amount - Principal

The interest = $6673.4 - $6100

The interest = $573.4

The return on investment is calculated as:

[tex]\begin{gathered} \text{ROI = }\frac{Interest}{Pr\text{incipal}}\times100\text{ \%} \\ \text{ROI}=\frac{573.4}{6100}\times100\text{ \%} \\ \text{ROI = }9.4\text{ \%} \end{gathered}[/tex]

The return on investment for Katerine's account = 9.4%

Mr. Rodriguez is preparing photos for an international client. The client has requested a photo that is 20 cm by 15 cm. Mr. Rodriguez knows that the formula c = 2.54n can be used to convert n inches to c centimeters. Which formula can he use to convert centimeters to inches?

Answers

Answer: [tex]n\text{ = }\frac{c}{2.54\text{ }}\text{ \lparen option B\rparen}[/tex]

Explanation:

Given:

The formula to convert from inches to centimeters is c = 2.54n

To find:

The formula that can be used to convert from centimeters to inches

To determine the formula, we need to make n the subject of formula:

[tex]\begin{gathered} \text{c = 2.54n} \\ where\text{ c = value in cm} \\ n\text{ = value in inches} \end{gathered}[/tex][tex]\begin{gathered} To\text{ make n, the subject of formula, we will divide both sides by 2.54:} \\ \frac{c}{2.54}=\text{ }\frac{2.54n}{2.54} \\ n\text{ = }\frac{c}{2.54} \\ This\text{ means when we have a value in cm and substitute, the answer will be in inches} \end{gathered}[/tex][tex]n\text{ = }\frac{c}{2.54\text{ }}\text{ \lparen option B\rparen}[/tex]

Pls help with the question in the picture. 20 Points and brainliest.

Answers

Answer:

**NEED USEFUL ANSWER ASAP, H.W QUESTION**

Given that hotter blackbodies produce more energy than cooler blackbodies, why do cooler red giants have much higher luminosities than much hotter white dwarfs?

Step-by-step explanation:

6. Diagram this statement. Then answer the questions (22) that follow. One third of the 60 questions on the test were true false. (a) How many of the questions on the test were true- false? (b) How many of the questions on the test were not true- false? (C) What percent of the questions were true-false?

Answers

[tex]undefined[/tex]

WXYZ is a kite. Use the figure below to fill in the blanks below.

Answers

We can assume the kite is simetrycal along line WY, as such

[tex]ZW=XW=10[/tex][tex]m\angle\text{XSW}=90[/tex]

because the diagonals of a kite are perpendicular.

Since m∠XSW is 90°, triangle WSX is a right triangle. Thus

[tex]m\angle WXZ=m\angle WXS=180-90-46=44[/tex]

By the symmetry we discussed earlier,

[tex]m\angle WYZ=m\angle WYX=18[/tex]

And finally

[tex]m\angle XYZ=m\angle WYZ+m\angle WYX=18+18=36[/tex]

Can you help me with question number 4 and double check all my other work. (I don’t really understand functions.)

Answers

SOLUTION

The relation is a function because each x-value has a unique y-value. That is each domain has only one image. Therefore, the relation is a function

-3x + 14y =7 -2x + 13y = -1Should this be solved by elimination or substitution?

Answers

ANSWER

Elimination

EXPLANATION

We want to decide what method will be easier to solve the system of simultaneous equations.

From the equation, we see that attempting substitution will be quite difficult because there will be fractions involved thereby making simplification difficult.

On the other hand, elimination will involve multiplying the two equations by certain factors and solving.

Therefore, elimination will be more convenient.

8.5 cm 6.5 cm 2.25 cm Which measurement is closest to the surface area of the triangular prism in square centimeters?

Answers

This problem provides the faces of a triangular prism, and we need to calculate the surface area.

The surface area of the prism is equal to the sum of the area of all individual faces. Three faces are rectangles, while two are triangles.

The area of a rectangle can be found by using the following expression:

[tex]A_{rectangle}=length*width[/tex]

While the area of a triangle can be found by using the following expression:

[tex]A_{triangle}=\frac{base*height}{2}[/tex]

Two rectangles are equal, with measurements 2.25 cm by 8.5 cm, one rectangle has a measurement of 6.5 cm by 2.5 cm, and the two triangles are equal with a base equal to 6.5 cm and a height of 8.5 cm, therefore we have:

[tex]\begin{gathered} A_{rectangle}1=2.25\cdot8.5=19.125\text{ cm}\\ \\ A_{rectangle}2=6.5\cdot2.25=14.625\text{ cm}\\ \\ A_{triangle}=\frac{6.5\cdot8.5}{2}=27.625\text{ cm}\\ \\ \end{gathered}[/tex]

And the total area is:

[tex]\begin{gathered} A_{total}=2\cdot A_{rectangle}1+A_{rectangle}2+2\cdot A_{triangle} \\ A_{total}=2\cdot19.125+14.625+2\cdot27.625 \\ A_{total}=108.125\text{ square centimeters} \end{gathered}[/tex]

The surface area of the prism is approximately 108 square centimeters.

One factor of the polynomial x3 − 7x2 + 13x − 3 is (x − 3). What is the other factor of the polynomial? (Note: Use long or synthetic division.) A. (x2 + 4x − 1) B. (x2 − 4x + 1) C. (x − 4) D. (x + 4)

Answers

The other factor of the polynomial from what we have here is given as  x² - 4x + 1 option B is correct.

How to solve the polynomial

We are required to divide  x³ - 7x² + 13x - 3 by x -3

We have this as

     x² - 4x + 1

     -----------------

x-3 | x³ - 7x² + 13x - 3

we would have

        x³ - 3x²

subtract this value by the one that we have above

then we would have

                   -4x² + 13x

                   -4x² + 12x

subtract these values from each other to get the value below.

                               x - 3

Hence the solution to the polynomial would be    x² - 4x + 1.

Read more on polynomials here:

https://brainly.com/question/2833285

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Prove that if 3/5 x = 9 then x = -15
Given: 3/5 x = 9
Prove: x = -15

Answers

There is no proof because X ≠ -15 when 3/5 x = 9

What is multiplication?

Multiplication is defined as one of the basic arithmetic operations that is used for the repeated addition of similar figures together.

From the given expression,

3/5x = 9

But X= -15

Substitute X = -15 into the given expression;

That is,

3/5 * -15 = 9

-45/5= 9

-9 = 9

Therefore, there is no proof that in the expression 3/5 x = 9, X ≠ -15 because the final answer is -9 and not ,9.

Learn more about addition here:

https://brainly.com/question/25421984

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b. (-4,-1) Y= 4/3 x + 6What’s the equation of the line in standard form

Answers

When two lines are perpendicular, the slopes of the lines m1 and m2 are related such that

m1m2 = -1

from the given equation comparing with tyhe general form of the equation of a line (y = mx + c)

m1 = 4/3

The slope of the perpendicular line is -3/4

The equation of the line

y- -1 = -3/4(x - -4)

y + 1 = -3/4(x + 4)

y + 1 = -3x/4 - 3

Subtract 1 from both sides

y + 1 - 1 = -3x/4 - 3 - 1

y = -3x/4 - 3 - 1

y = -3x/4 - 4

This is the standard form of the equation

Please help me and I will give the pictures for the choices..

Answers

The first compound indequality is:

[tex]x>7\, and\, x<7[/tex]

We can view this in the real line:

There is no number that can be both greater AND less than 7, which makes the correct answer "No solution".

The second is:

[tex]x<7\, or\, x>7[/tex]

Now, we are not looking for intercetion, we are looking for the union of both. The firts inequality takes all number less than 7 and the second all that are greater than 7, so the only one that is not a solution is 7, which means the correct answer is "all real numbers except 7"

The third is:

[tex]x\ge7\, and\, x\le7[/tex]

This is the same as the first one, but now the 7 is included in both:

So, there is only 7 that can be in both indequalitys, thus the correct answer is "one solution, 7".

The fourth is

[tex]x\le7\, or\, x\ge7[/tex]

This is similar to the second, but now 7 is included, which means it is also a solution, thus the answer is "all real numbers".

Emilia and Liam are purchasing a home. They wish to save money for 12 years and purchase a house that has a value of $200,000 which cash. If they deposit money into an account paying 4% interest, compounded monthly, how much do they need to deposit each month in order to make the purchase?

Answers

Answer:

Explanation:

32. Which statement is true if m and n are parallel? A slope m = slope (n)B slope m= -1 (Divide) slope (n)C slope m= 1 (Divide) slope (n)D slope m= -1 x slope (n)

Answers

Two lines that parallel, their slopes are equals.

L1 and L2 are parallel only if the slopes of the lines are s1 and s12 are identical

therefore the correct answer is A. slope m = slope (n) since they say that two slopes the same

(a + 3)-(a + 2) Please help bc im stuck :>

Answers

Answer: 1

Step-by-step explanation:

We are given (a + 3) - (a + 2)

To think of this another way, we can distribute the negative sign out into the (a + 2)

(a + 3) -(a) - (2)

Now our expresssion looks like this:

(a + 3) - a - 2

Simplifying, we get

a - a + 3 - 2

The a terms cancel leaving us with

3-2

and that equals

1

Answer:

1

Step-by-step explanation:

1. Rewrite

         : (a+3)-(a+2) = a + 3 - a - 2

2. Subtract

         : 3-2 = 1 ... so now the equation is a + 1 - a

3. Combine like terms

         : a -a = 0 (the a's cancel out) ... now you're left with 1

Since there is nothing left, your answer is 1.

111. 12 people fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 25feet deep on both sides of the street along a 3-mile section of a parade route (Hint: 1 mile - 5 280 ft)

Answers

Answer:

The estimated crowd is of 380160 people.

Step-by-step explanation:

We solve this question applying a proportion on the following format:

People divided by area.

Let's do the drawing:

12 people fit comfortably in a 5 feet by 5 feet area.

So

12 people fitting in an area of 5*5 = 25 ft².

Area of the street:

3 miles = 3*5280 ft = 15840 ft

25 feet on both sides. So, the total area in which the crowd is sparsed is:

A = 15840*25*2= 792000 ft².

Now we apply the ratio:

People over area.

[tex]\frac{12}{25}=\frac{x}{792000}[/tex]

Applying cross multiplication:

25x = 12*792000

x = (12*792000)/25

x = 380160

The estimated crowd is of 380160 people.

Select the correct answer. Angela is driving across the state to her friend's house. She just filled her fuel tank to its maximum capacity of 26 gallons. If the amount of gas in her car decreases by 2 gallons every 48 miles, which of the following graphs best represents the number of gallons of fuel remaining?

Answers

Let L be the amount of gas Angela has at distance d. At d=0 she has 26, and we know that every 48 miles the gas decreases 2 gallons, so the rate of decrease of gas per mile is

[tex]\frac{2\text{ }}{48}=\frac{1}{24}[/tex]

Then, the linear equation that models this problem is

[tex]L=-\frac{1}{24}d+26[/tex]

(I used the minus sign since the amount decreases).

The gas will run out of gas whe she has driven

[tex]\begin{gathered} 0=-\frac{1}{24}d+26 \\ \frac{1}{24}d=26 \\ d=624\text{ miles} \end{gathered}[/tex]

Then the graph that best fits the model is number Z. And the answer is D.

Use trigonometry to find QP. Round to the nearest tenth.

Answers

Since this is a right triangle, we can use trig functions

cos theta = adj side/ hypotenuse

cos Q = QP / QR

cos 38 = QP / 25

25 cos 38 = QP

19.70026884= QP

Rounding to the nearest tenth

19.7 = QP

Solve the inequality and graph the solution on the line provided.
< > M >
Inequality Notation:
Number Line:
or
-12 -10 -8 -6
-4 -2
0 2 4
Click and drag to plot line.
2x64 -48
6
8
10 12

Answers

Answer:

x ≥ 8

Step-by-step explanation:

Given

Inequality 2x - 64 ≥ - 48

Solution

2x - 64 ≥ - 482x ≥ 64 - 482x ≥ 16x ≥ 8

To graph the solution, plot the point x = 8, make it closed dot, shade the line to the right from this point.

Consider the following equation: - 6x – 8y =—2A) Write the above equation in the form y = mx + b. Enter the values of m and b in theappropriate boxes below as integers or reduced fractions in the form A/B.)Answer: y =+Preview m: ; Preview b:B) Use your answer in part (A) to find the ordered pair that lies on this line when x = – 40.Answer: (-40,Enter your answer as an integer or a reduced fraction in the form A/B.

Answers

we have the equation

-6x-8y=-2

step 1

Isolate the variable y

Adds 6x both sides

-6x-8y+6x=-2+6x

simplify

-8y=6x-2

Divide both sides by -8

-8y/8=(6x-2)/-8

y=-(6/8)x+(2/8)

simplify

y=-(3/4)x+(1/4)

therefore

m=-3/4b=1/4

Part b

For x=-40

substitute in the equation above

y=-(3/4)(-40)+(1/4)

y=30+1/4

y=121/4

therefore

the answer part b is

(-40,121/4)

Create a table of values for the function graphed below using the plotted points. Remember, table of values are written with the -values in order from least to greatest (read the graph from left to right).

Answers

To create the table of values, we need to find the coordinates of the given points.

The coordinatesare given by (x,y), where x ican be found by drawing an imaginary vertical line passing through the point, and the x-value is the value of the x-axis where the line intercepts the x-axis.

The y-coordinate is given by the point of interception on the y-axis of a horizontal line passing through the point, so, for the fir tpoint the coordinates are:

[tex]\begin{gathered} (-2,5) \\ x-value\rightarrow-2 \\ y-value\rightarrow5 \end{gathered}[/tex]

If we apply the same procedure to the next points, we can find the following coordinates:

[tex]\begin{gathered} (-1,4) \\ (0,3) \\ (1,2) \\ (2,1) \end{gathered}[/tex]

Thus, th table of values will be:

x y

-2 5

-1 4

0 3

1 2

2 1

The price of acorn squash is proportional to the weight in pounds. You pay $6.36 for 4 pounds of acorn squash. How much does3 pounds of acorn squash cost?

Answers

In order to calculate the cost for 3 pounds of acorn squash, we can write the following rule of three:

[tex]\begin{gathered} \text{weight}\to\text{cost} \\ 4\text{ pounds}\to6.36 \\ 3\text{ pounds}\to x \end{gathered}[/tex]

Then, we can write the following equation and solve it for x:

[tex]\begin{gathered} \frac{4}{3}=\frac{6.36}{x} \\ 4\cdot x=3\cdot6.36 \\ 4x=19.08 \\ x=\frac{19.08}{4} \\ x=4.77 \end{gathered}[/tex]

Therefore the cost of 3 pounds is $4.77.

SSS
L
J
++
A) LJ=HF
LK=LG
C)
K
H
G
F
B) LJ LF or D) ZL=LH

Answers

Answer:

A. LJ≅HF

Step-by-step explanation:

Same as last time

What is the coordinate of the midpoint of S the midpoint of ST write your answer as an integer or a decimal or mixed number in simple Form.

Answers

We have a segment ST in a number line.

We can calculate the midpoint M as the average of the position of the endpoints S and T.

The position of S is 11 and the position of T is 13, so the midpoint will be:

[tex]M=\frac{S+T}{2}=\frac{11+13}{2}=\frac{24}{2}=12[/tex]

Answer: the midpoint is 12.

Which of the following data collection methods best describes the situation below?A polling company wants to predict which candidate will win an election. Company employees randomly call 1482 likely voters and ask them how they plan to vote.a. sample surveyb. experimentc. observational studyd. correlation

Answers

Answer

Option A is correct.

Explanation

Sample survey refers to the statistic

The width of a rectangle is [tex] \frac{3}{4} [/tex] its length. The perimeter of the rectangle is 420 ft. What is the length, in feet, of the rectangle?

Answers

The width of a rectangle is 3/4 its length.

[tex]w=\frac{3}{4}l[/tex]

The perimeter of the rectangle is 420 ft.

Recall that the perimeter of a rectangle is given by

[tex]P=2(w+l)[/tex]

Let us substitute the value of the given perimeter and the width

[tex]\begin{gathered} P=2(w+l) \\ 420=2(\frac{3}{4}l+l) \end{gathered}[/tex]

Now simplify and solve for length

[tex]\begin{gathered} 420=2(\frac{3}{4}l+l) \\ 420=\frac{3}{2}l+2l \\ 420=3.5l \\ l=\frac{420}{3.5} \\ l=120\: ft \end{gathered}[/tex]

Therefore, the length of the rectangle is 120 feet.

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