A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and estimates the angle of elevation of the kite to be 65°. If the string is 350 ft long, how high is the kite above the ground? (Round your answer to the nearest foot.) ft

Answers

Answer 1

Answer: [tex]317.2\ ft[/tex]

Step-by-step explanation:

Given

Angle of elevation [tex]\theta=65^{\circ}[/tex]

Length of string [tex]L=350\ ft[/tex]

Suppose the height of kite from the ground level is h

from the figure, we can write

[tex]\Rightarrow \sin \theta=\dfrac{h}{L}\\\\\Rightarrow \sin 65^{\circ}=\dfrac{h}{350}\\\\\Rightarrow h=350\sin 65^{\circ}\\\Rightarrow h=317.2\ ft[/tex]

A Man Is Lying On The Beach, Flying A Kite. He Holds The End Of The Kite String At Ground Level And Estimates

Related Questions

Solve the inequality. q/3 < 11

Answers

Answer:

[tex]q < 33[/tex]

Step-by-step explanation:

[tex] \frac{q}{3} < 11[/tex]

[tex]q < 11 \times 3[/tex]

[tex]q < 33[/tex]

Hope it is helpful....

Answer:

33

Step-by-step explanation:

q/3<11

q=11×3

q=33

:. The answer is 33.

Domain and rang of these

Answers

Answer:

Domain: {-3, -1, 1}

Range: {-1, 2, 4, 5}

Step-by-step explanation:

The domain is all the x-values, and the range is all the y-values. When listing values, repeated values are only written down once.

Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more than halfway between them. What is the approximate value for the y-coordinate? y Almost-equals –1.1 y Almost-equals –1.4 y Almost-equals –1.8 y Almost-equals –1.9

Answers

Answer:

The answer is "[tex]y\approx 1.4[/tex]".

Step-by-step explanation:

In the given question the y-coordinates range between -1 to -2. Its distance between -1 and -2 is near, and less than halfway.

Answer:

b

Step-by-step explanation:

I tried figuring it out but its kinda hard not knowing what to make as an equation?

Answers

Its 7 ft
11ft - 4ft = 7ft

Variables, in statistics, refer to:
A) characteristics of experimental units
B) data that has been collected
C) unknown quantaties

Answers

the answer to this question is a

What is the first step when applying properties of operations to divide 73.85 by 4.1?

Answers

Given:

Divide 73.85 by 4.1.

To find:

The first step when applying properties of operations to divide 73.85 by 4.1.

Solution:

We have,

Divide 73.85 by 4.1 [tex]=\dfrac{73.83}{4.1}[/tex]

Here, the dividend is 73.83 and divisor is 4.1.

First, we have to remove the decimals.

In numerator we have to digits after decimal and in denominator we have 1 digit after decimal.

So, multiply the divisor and dividend by 100 to remove the decimal.

Therefore, the first step is "Multiply the divisor and dividend by 100".

Answer:

B

Step-by-step explanation:

What is the first step when applying properties of operations to divide 73.85 by 4.1?

What percentage of 1hour is 6munites 20seconds

Answers

Answer:

1 minute and 12 seconds is 2 % of an hour.

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Someone help me please !!

Answers

Answer:You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function.

Step-by-step explanation:

Solve for x. Round to the nearest tenth, if necessary. Calculating Sin or Cos or Tan

Answers

Answer:

1.06

Step-by-step explanation:

cos41⁰ = 0.8 ÷ X

X = 0.8 ÷ cos41⁰

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a right triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

x = Hyp  (for this question)

Cos(41) = 0.8 / Hyp

use your algebra skillz

Hyp = 0.8 / Cos(41)

use your calculator to fund Cos(41) into 0.8

Hyp = 1.060010395  (that's all the decimal places my calc would go out to )

x = 1.1  ( rounded to nearest 10th )

What 23.5 x 10 to the power of two in scientific notation explain please

Answers

Answer:

2.35 x 10^3

Step by Step:

Rewrite the number in scientific notation.

2.35 x 10^3

h (t) = -10t + 6

h ( ? ) = -44

I'm looking for the T that goes in the parenthesis

This is from Algebra 1 - Khan Academy, Unit Functions

Answers

Answer:

[tex]{ \tt{h(t) = - 10t + 6}} \\ - 44 = - 10t + 6 \\ - 10t = - 50 \\ t = 5[/tex]

Answer:

h(5)

Step-by-step explanation:

Equate - 10t + 6 and - 44 and solve for t

- 10t + 6 = - 44 ( subtract 6 from both sides )

- 10t = - 50 ( divide both sides by - 10 )

t = 5 , that is

h(5) = - 44

What is the classification for this polynomial? X2y+3x3

Answers

Answer:

quadratic

Step-by-step explanation:

hope you got it

Find cos R.
A. cos R =29/21
B. cos R =21/20
C. cos R =21/29
D. cos R =20/29

Answers

Answer:

The answer is 12 %R

Step-by-step explanation:

Answer:

[tex]\text{C. }\cos R=21/29[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.

From the diagram, we know:

Angle R's adjacent side is 21The hypotenuse (longest side) of the right triangle is 29

Therefore, the cosine of angle R must be [tex]\boxed{\frac{21}{29}}[/tex]

Find the product.

(-2 x2 ) 3 ·3 x

Answers

Answer: -24x^7

Step-by-step explanation:

pemdas so you do parentheses first therefore getting  (2x^2)^3x3x

remove the parentheses

do -8x^6x3x

after that you end up with -24x^7

Simplify (-2x^2) ^3 by raising each term by 3:

-2^3x^6

Now you have

-2^3 x^6 times 3x

-2^3 = -8

x^6 tomes x = x ^7

-8 x 3 = -24

Answer is -24x^7

Find the area.

A hexagon with side length 6m.

Answers

Answer:

93.53m.

Step-by-step explanation:

.

It take 4 people 40 minutes to clean a garden. How long will it take 6 people to clean the same garden

Answers

Answer:

4/9 of an hour (26.666 minutes)

Step-by-step explanation:

4 * x * 40/60 = 1

x * 160/60 = 1

x=60/160 = 6/16 = 3/8 (this is the rate for one worker)

~~~~~~~~~~~~~~~~

6 * (3/8) * x = 1

x = 4/9

Find each measure

Please help me

Answers

Answer:

11:90

12: 90

13: 90

14:90

15:180

16: 135

17:225

Step-by-step explanation:

I don't know if this is entirely true but I hope it helps

Which of the relations given by the following sets of ordered pairs is not a function?
0 [(5,0), (4,0), (3,0), (2,0), (1,0)}
{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)}
{(-8,3), (- 6,5), (- 4,2), ( - 2,7), ( - 1,4)}
{(-6,4), ( – 3, - 2), (0,5), (1, - 2), (2,3)}

Answers

Answer:

{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)} is not a function.

Step-by-step explanation:

For a function to be a function, there is only ever one y value per x value. In this set, -1 has two outputs, or y values. It has -1 and 1. As a result, this is not a function.

What does 1/8 equal to

Answers

Answer:

0.125

Step-by-step explanation:

It could be a lot of things, but if you mean the decimal form then it would be 0.125. Just divide 1 by 8.

If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?

Answers

Answer:

3

Step-by-step explanation:

We are going to be using cofunction identity cos(90-x)=sin(x).

Apply to either side but not both.

cos(22f − 1) = sin(7f + 4)

sin(90-[22f-1])=sin(7f+4)

90-[22f-1]=7f+4

Distribute

90-22f+1=7f+4

Combine like terms

91-22f=7f+4

Add 22f on both sides

91=29f+4

Subtract 4 on both sides

87=29f

Divide 29 on both sides

3=f

f=3 is between 0 and 90

Answer:

The answer is "3."

Step-by-step explanation:

Just submitted the test and got the answer correct!

AT first, shop A had 156 kg of rice and shop B had 72 kg of rice. After each shop sold the same quantity of rice, the amount of rice left in Shop A was 4 times that of Shop B. How many kilograms of rice did Shop B sell

(Please give an easy method)​

Answers

Answer:

44 kg, and since both sold the same amount so did A.

Let me know if this method doesn't make sense though and I should be able to explain it.

Step-by-step explanation:

Both shops sold the same amount, let's call it x.

At the end, let's say shop B had y left, this means A would have 4y left, since the question says "After each shop sold the same quantity of rice, the amount of rice left in Shop A was 4 times that of Shop B"

So this means A started with 156, sold x and was left with 4y, or in math 156 - x = 4y

B you could write 72 - x = y

Now you have a system of equations.

156 - x = 4y

72 - x = y

There are a number o ways to look at this.  If you graph them you want the (x, y) coordinates where they intersect, or in other words the x and y values that work for both of these equaions.  

The methods all wing up making you solve for one variable and plugging it into the other equation to solve for the other.  The easiest method is probably canceling out.

156 - x = 4y

72 - x = y

Now, for these two the goal is to make one of the variables go away by adding or subtracting one equation from the other.  You could also multiply one by something.  In fact here are all possibilities.  

If you subtract one from the other here is what would happen.

156 - x = 4y

-(72 - x = y)

_________

156 - x = 4y

-72 + x = -y because you distribute the minus sign

_________

84 = 3y because 156-72 = 84, -x + x = 0 so they canceled out and 4y - y = 3y

28 = y because you divide both sides by 3.

It's all just algebra after the addition/ subtraction.  You could also do it the other way subtracting 156 - x = 4y from 72 - x = y.  Either way would cancel the xs.  But now that you know y = 28 you can plug that into either of the equations again to find x.

156 - x = 4y

156 - x = 4(28)

156 - x = 112

156 = 112 + x

44 = x

72 - x = y

72 - x = 28

72 = 28 + x

44 = x

Now, if you wanted to cancel the ys initially you would have to multiply.

156 - x = 4y

72 - x = y

Normally subtracting just got rid of the xs.  You would need to multiply the bottom one by 4 to get rid of ys.

156 - x = 4y

288 - 4x = 4y

Now if you subtracted one from the other the 4ys would cancel.  You could also divide the top one by 4 and get

39 - x/4 = y

72 - x = y

here you have a fraction though and that's gonna make things a little more difficult.

Let me know if this method doesn't make sense though and I should be able to explain it.

Martin was selling tickets for a basketball game in a high school. He sold 1,250 tickets and the total amount collected for the game was $2,750. The student tickets cost $2 each, and adult tickets cost $3 each. How many student and adult tickets were sold?

Answers

Answer:

x = number of students tickets = 1,000

y = number of adults tickets = 250

Step-by-step explanation:

Let

x = number of students tickets

y = number of adults tickets

x + y = 1,250 (1)

2x + 3y = 2,750 (2)

Multiply (1) by 2

x + y = 1,250 (1) * 2

2x + 2y = 2,500 (3)

2x + 3y = 2,750 (2)

Subtract (3) from (2) to eliminate x

3y - 2y = 2,750 - 2,500

y = 250

Substitute y = 250 into (1)

x + y = 1,250

x + 250 = 1,250

x = 1,250 - 250

x = 1,000

x = number of students tickets = 1,000

y = number of adults tickets = 250

Express as a trinomial.
(2x-6)(2x-8)

Answers

Answer:

192

Step-by-step explanation:

calculator

The answer is 4x^2 - 28x + 48

Need help, please answer this

Answers

Answer:

In this exercise we need to solve the equation

3(x-2) = 2x + 6 - 2

We operate the parentheses and the right side

3(x-2) = 2x + 4

3x - 6 = 2x + 4

We add 6 to both sides

3x -6 + 6 = 2x + 4 + 6

3x = 2x + 10

We substract 2x

3x - 2x = 2x + 10 - 2x

x = 10

x = 10

Step-by-step explanation:

Annie invests $400 in a bank that offers 5.5% simple annual interest after 6 years her investment will increase by blank dollars

Answers

Answer:

Her investment will increase by 551.54 dollars

Step-by-step explanation:

So we know that the exponential function formula is f(x)=a(1+r)^x

So knowing that we can input values

So now we have f(x)=400(1+0.055)^6

Since it is annual we will only have the interest yearly so that changes are equation to look like this f(x)=400(1+0.055/1)^6

So next we have to add 1 and 0.055 which is 1.055

So we input that into the equation so now we have f(x)=400(1.055/1)^6

Now we have to do (1.055/1) to the power of six, so we get 1.37884280676

Now we have to 1.37884280676 times 400,  which would be 551.537122705.

Assuming they want to the nearest 100th it would be 551.54

So the answer is 551.54 dollars

Hopefully, that helped. If I made any mistake or I am incorrect feel free to correct me. :)

A boat travels to an island and back in 78 minutes. If the speed of the boat going to the island is 14 mph, and its speed returning is 12 mph, how far away is the island

Answers

Answer:

8.4 miles

Step-by-step explanation:

Given that :

Total time taken = 78 minutes = 78/60 = 1.3 hours

To Speed = 14 mph

Fro Speed = 12 mph

Let the distance be represented as, d

Distance = speed * time

Time = distance / speed

To time + Fro time = 1.3 hours

d / 14 + d / 12 = 1.3 hours

Take lcm of 14 and 12 ; = 84

(6d + 7d) / 84 = 1.3

13d /84 = 1.3

13d = 1.3 * 84

13d = 109.2

d = 109.2 / 13

d = 8.4 miles

The distance is 8.4 miles

4. Convert 23 miles per hour to kilometers per minute. (1 mile = 1.609 kilometers)

Answers

Answer:

Ewan ko lng po when you find someone ma mas better less sa kanya


A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (-4, 0) and (6.0). The y-intercept of
the first parabola is (0,–12). The y-intercept of the second parabola is (0, -24). What is the positive difference between
the a values for the two functions that describe the parabolas ? Write your answer as a decimal rounded to the nearest
tenth.

Answers

Answer:

∆a = 1/2

Step-by-step explanation:

parabolas cross the x-axis at (-4, 0) and (6, 0)

y = a(x + 4)(x - 6)

At the y-intercept x = 0

y =  a(0 + 4)(0 - 6)

y = -24a

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

y-intercept of the first parabola is (0,–12)

-12 = -24a

a = 1/2

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

y-intercept of the second parabola is (0, -24)

-24 = -24a

a = 1

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

What is the positive difference between the a values

∆a = 1 - 1/2

∆a = 1/2

If y = 2x3 - 4x and dx, dt equals 4 , find dy, dt when x = 1. Give only the numerical answer. For example, if dy, dt = 3, type only 3

Answers

Answer:  8

Work Shown:

y = 2x^3 - 4x

dy/dt = 2*3*x^2*dx/dt - 4*dx/dt

dy/dt = 2*3*1^2*4 - 4*4

dy/dt = 8

notice how I used the chain rule for step 2.

Find the product of the Mixed numbers.

2 2/3 x 1 1/2
what statemets are correct? Check all that apply.
1. write the mixed numbers as improper fractions
2. multiply the numerators to get 24.
3. multiply the denominators to get 6.
4. write the improper fractions as a mixed number
5. The product is 4.
6. The product is 2 2/5

Answers

Answer:

1., 2., 3., 5.

Step-by-step explanation:

2 2/3 x 1 1/2 =

= (2 * 3 + 2)/3 * (1 * 2 + 1)/2

= 8/3 * 3/2

= 24/6

= 4

Answer:

Write the mixed numbers as improper fractions.

Multiply the numerators to get 24.

Multiply the denominators to get 6.

Write the improper fraction as a mixed number.

The product is 4.

Step-by-step explanation:

the other person is wrong

I purposely got this question wrong so I can see the right answers

these are the correct answers

(edge)

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