You are flying your dragon kite. It is connected to 34 yards of string. The kite is directly above the edge of a pond. The edge of the pond is 29 yards from where the kite is tied to the ground. How high is the kite above the edge of the pond? Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

18 yards

Step-by-step explanation:

To find the height of the kite we need to consider the problem as a right triangle and use the Pythagorean theorem to solve it:

[tex] c^{2} = a^{2} + b^{2} [/tex]

Where:

c: is the length of the hypotenuse

a and b: are the length of the sides of the triangle

We have that the length of one side is 29 yards and the length of the hypotenuse is 34 yards, so we need to find the other side (which represents the height) as follows:

[tex] a = \sqrt{c^{2} - b^{2}} = \sqrt{(34)^{2} - (29)^{2}} = 18 [/tex]                          

Therefore, the height of the kite is 18 yards.

I hope it helps you!


Related Questions

In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season.

Variable DF Estimate SE T
Intercept 1 −5.0 0.26 −19.3
WHIP 1 6.8 0.14 47.4
Which of the following statements is the best interpretation of the value 6.8 shown in the output?

a. ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP.


b. WHIP is predicted to increase by 6.8 units for each 1 unit increase of ERA.


c. For a pitcher with 0 units of WHIP, the ERA is predicted to be approximately 6.8 units.


d. For a pitcher with 0 units of ERA, the WHIP is predicted to be approximately 6.8 units.


e. Approximately 6.8% of the variability in ERA is due to its linear relationship with WHIP.

Answers

I got A and E I hope that works

Select the correct answer from each drop-down menu. Lisa specializes in baking lemon cupcakes. She bakes 3 dozen cupcakes every hour. The cost (in dollars) of making n cupcakes is given by the function C(n) = 60 + 0.45n. The function that models the number of cupcakes Lisa makes in h hours is n(h) = . The cost function in terms of hours, h, is given by . Lisa's cost for making cupcakes for 2 hours is .

Answers

Answer:

Step-by-step explanation:

from the question, we are told that Lisa bakes 3dozens cupcakes every hour, to know the amount she makes in h hours, we will use the equality postulate as shown;.

3 dozens = 1hour

n(h) = h hour

Cross multiply

n(h) × 1 = 3×h

n(h) = 3h

Hence the function that models the number of cupcakes Lisa makes in h hours is n(h) = 3h

To get the cost function in terms of hours, we will find the composite function C(n(h))

C(n(h)) = C(3h)

Given C(n) = 60 + 0.45n

C(3h) is derived by substituting n as 3h in the function as shown;

C(3h) = 60+0.45(3h)

C(3h) = 60+1.35h

Hence the cost function in terms of hours, h, is given by 60+1.35h

To get the cost for making cupcakes for 2 hours, we will substitute h = 2 into the expression C(h) = 60+1.35h

C(2) = 60+1.35(2)

C(2) = 60+2.70

C(2) = 62.70

Hence the cost for making cupcakes for 2 hours is $62.70

Answer:

The function that models the number of cupcakes Lisa makes in h hours is n(h) = 36h. The cost function in terms of hours, h, is given by 60 + 16.2h. Lisa's cost for making cupcakes for 2 hours is $92.40

.

Step-by-step explanation:

Estimate the value of 13 (between which two whole number)

Answers

Answer:

C

Step-by-step explanation:

between three and four

it would be probably 4

whats the rate of change?​

Answers

Every time x is added by one, y is added by three.

.a. Find the LCM of the 45 and 70​

Answers

Answer:

630.

Find the Prime factorization of 45, 3 x 3 x 5

Find the prime factorization of 70, 2 x 5 x7

Multiply each factor the greater number of times it occurs.

You get 630.

LCM of 45 and 70 :

= 45 ÷ 5 , 70 ÷ 5 ( Both the numbers are being divided by 5 ; which is their smallest common factor )

= 14 , 9

= 14 ÷ 14 , 9 ( We are dividing 14 by 14 as both 9 and 14 dont have have a common factor )

= 1 , 9

= 1 , 9 ÷ 3 ( 9 is being divided by 3 )

= 1 , 3

= 1 , 3 ÷ 3 ( 3 is being divided by 3 )

= 1 , 1

LCM of 45 and 70 = 5 × 14 × 3 × 3

LCM of 45 and 70 = 630

Therefore , the LCM of the 45 and 70 = 630 .

A cylinder has a height of 5.3cm and a diameter of 3.0cm. What is its volume

Answers

Answer:

44.53

Step-by-step explanation:

I'm smort

help please :(
20 points to help

Answers

Answer:

67/24

Step-by-step explanation:

that is what my graphing calculator got, I hope its right

Answer:

2 19/24

Step-by-step explanation:

if we go by order of operations we will need to find 3/4+1/6 first because its in parenthesis. we would need to make the fractions compatible so we would turn 3/4 into 9/12, and 1/6 into 2/12. That would get us 11/12. Next up we would calculate the exponent. 2**4 is equal to 2*2*2*2, which is 16. then we would do the division. 2/3 / 16=1/24. 11/12 / 1/3= 11/4. again, we need to make them compatible so we would turn 11/4 into 66/24. finally we add 1/24 and 66/24, which is 67/24. we would turn that into 2 19/24. hope this helps!

Which expression is equivalent to the given expression?
2x^2– 14x + 24

Answers

2(x-4)(x-3) I think not really

Answer:

2(x - 3)(x - 4)

Step-by-step explanation:

I will mark BRAINLIEST ​

Answers

Answer:

Im cochie man and give me points plz i need em im sorry :(

Step-by-step explanation:

4x + 20y = -180
Put the following equation of a line into slope intercept form, simplifying fractions

Answers

Answer:

y = - [tex]\frac{1}{5}[/tex] x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

4x + 20y = - 180 ( subtract 4x from both sides )

20y = - 4x - 180 ( divide all terms by 20 )

y = [tex]\frac{-4}{20}[/tex] - [tex]\frac{180}{20}[/tex] , that is

y = - [tex]\frac{1}{5}[/tex] x - 9 ← in slope- intercept form

How do I solve 2(6x +4) +7x by simplifying the expressions?

Answers

Answer:

19x+8

Step-by-step explanation:

First distribute 2 into the parenthesis which will equal 12x+8+7x

Than add like terms 12x+7x =  19x

Than youre left with 19x+8 and that is the answer :}

Answer:

19x+8

Step-by-step explanation:

You multiply everything in the parenthesis by 2 and then get rid of the parenthesis so then the equation will be 12x+8+7x. Then you add 12x and 7x together because you can't add together a normal number and a variable. Then the equation will be 19x+8. This is the final equation.

Can someone answer this plz im giving brainliest

Answers

Answer:

1, 3, 5, 7, 10 those are the answers to Y

Answer:

7: 1

21: 3

35: 5

49: 7

77: 11

What is the equation for the line perpendicular to the line y=−x+20 that passes through the point (−4, 2)?

Answers

Answer:

y = x + 6

Step-by-step explanation:

A line that is perpindicular to y = -x + 20 would be y = x. Now, we have to solve for the y-intercept. Knowing the line must cross through (-4,2) we can solve for the y-intercept using the equation y = x which is just up one over one. Going over 4 units to get to x = 0 means going up 4 units to get to y = 6. Now we know the y-intercept is 6. This means the final equation is y = x +6.

29points!
Match the vocab word with the definition:
.1Devices, such as parentheses, brackets, and fraction bars, used to set apart an expression that should be simplified before other operations are performed
2.

An expression that consists of numbers, operations, and sometimes grouping symbol.
3.

The order in which operations must be computed when more than one operation is involve.
4.

A number representing how many times the base number should be multiplied by itself.
5.

A Symbol that represents a value that can change.
6.

A single number or variable, or numbers and variables multiplied together.
7.

The numerical factor in a term. A number being multiplied by a variable.
8.

A number on its own, it has a fixed value.
9.

A combination of variables, numbers, and operations.
10.

You replace, or substitute, all the variables with numbers and then simplify.
11.

A statement that the values of two math expressions are equal (indicated by the sign =).
12.

The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
13.

The symbol of a math operation.

plus, minus, times, divided by, equals
14.

An equation or inequality containing one or more variable
Open Sentence

Exponent (Power)

Numerical Expression

Operator

Term

Evaluate

Order of Operations

Grouping Symbol

Constant

Coefficient

Variable Expression

Equation

Inequality

Variable

Answers

A:8

B:14

C:3

D:11

E:7

F:4

G:1

H:12

J:9

K:10

L:2

M:6

N:5

O:13

Write an equation that represents the scenario: Taylor’s Tow Truck charges $30 to pick up the car and then an additional 2.50 per mile driven to tow your car.

Answers

Answer:

30+2.50m=t

Step-by-step explanation:

where m represents the amount of miles driven and t represents the total of money owed

can i get brainliest please?

Answer:

joker is not see the following questions and the answers will come up on your site

Write the equation of the line that passes
through the point (-6, 5) and has a slope of 2/3
in point-slope form.

Answers

Answer:

y-5=2/3(x+6)

Step-by-step explanation:

The ratio of the male and female teachers is 3:4 in Aadarsh H.S. School. If the number
of male teachers is 12, find the number of female teachers.
d)
7​

Answers

Answer:

there is 16 female teachers because 4 * 4 is 14

male is eqaul to 12

so therefore female is eqaul to 3/4*12=9

-x + 3 = 2 ( x + 15 )

Answers

Answer:

x= -9

Step-by-step explanation:

-x+3=2(x+15)

-x+3=2x+30

-x-2x+3=30-3

-3x=30-3

-3x=27

x= -9

Parker is working two summer jobs, making $11 per hour lifeguards and $22 per hour tutoring. Last week Parker worked a total of 16 hours and earned a total of $242. Determine the number of hours Parker worked lifeguarding last week and the number of hours he worked tutoring last week

Answers

Answer:

lifeguarding: 6 hours

tutoring: 10 hours

Step-by-step explanation:

First, to be able to tell apart the two jobs, use the variable x and y for them. use x for lifeguarding and y for tutoring. Since you have the pay per hour, you can create an expression for his pay:

11x + 22y

Then, write a system of equations to be able to find both variables.

If Parker worked a total of 16 hours, then you know that the combined amount of worked hours will be:

x + y = 16

If Parker earned a total of $242, then you know that his combined pay will be:

11x + 22y = $242

Now, you solve the system of equations (IMAGE.A):

First, solve for x:

11x + 22y = 242

11x = 242 – 22y

x = 22 – 2y

Now, plug in the x-value in the other equation:

x + y = 16

22 – 2y + y = 16

22 – y = 16

–y = –6

y = 6

This means that he has worked 6 tutoring hours.

Now, plug in the y-value to find the x-value:

11x + 22y = 242

11x + 22(6) = 242

11x + 132 = 242

11x = 110

x = 10

this means that he has worked 10 lifeguarding hours.

Answer:

10 hours lifeguarding, 6 hours tutoring

Step-by-step explanation:

You mixed it up but your work was right! This is correct because I just had this on a test and got it right. Good LUCK!

d =−12 is one of two solutions of the equation |d+ 9|=3
true or false

Answers

Let's find out by replacing d with -12. Then we'll simplify the left side

|d+9| = 3

|-12+9| = 3 .... replace d with -12

|-3| = 3

3 = 3

Since we get a true statement, ie the same thing on both sides, this means the original equation is true when d = -12.

Therefore d = -12 is one of the two solutions to the original equation.

Answer: True

Answer:

True

Step-by-step explanation:

We can check this by substituting x = - 12 into the left side of the equation. If the result is equal to the right side then it is a solution.

| - 12 + 9 | = | - 3 | = 3 = right side

Thus x = - 12 is one of the solutions to the equation.

[ The other solution is x = - 6 ]

Y=-1/5x+12
What is the y-intercept?
What is the slope?

Answers

Answer:

The slope is -1/5 and the y intercept is 12

Step-by-step explanation:

Y=-1/5x+12

This is in the form

y=mx+b where m is the slope and b is the y intercept

The slope is -1/5 and the y intercept is 12

Answer:

-1/5 = slope

12 = y-intercept

Step-by-step explanation:

y = mx + b

m is always equal to the slope

b is equal to the y-intercept

which makes -1/5 the slope

and makes 12 the y-intercept

3x - 2y = 38
x = 6 - y


Choose a solving method to find the solution


(if possible provide explanation I do not understand this!)

Answers

hope this is correct and that it helps
plug 6-y in for x
3(6-y)-2y=38
distribute
18-3y-2y=38
combine like terms
18-5y=38
subtract and divide
y=-4

plug y in
x=6-(-4)
solve
x=10

y= -4
x=10

If f(x)=3x+12, find the value of x so that f(x)=36
with steps please!

Answers

Answer:

x = 8

Step-by-step explanation:

36 - 12 = 24

24/3 = 8

What is the additive inverse of 9/10

Answers

Answer:

-9/10

Step-by-step explanation:

check answer:

number + additive inverse = 0

9/10 + -9/10 = 0

NEED HELP!!!
Which description is represented by a discrete graph?

A) Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?
B) The temperature at 9 a.m. was 83° F and is heating up at an average rate of 6°F per hour. What is the temperature x hours later?
C) Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?
D) A bottle contained 2,000 mL of liquid and is being poured out at an average rate of 300 mL per second. How much liquid is left in the bottle after x seconds?

Answers

Answer:

c

Step-by-step explanation:

ik cause you don't so deal with it

Answer:

Answer is C. Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?

Explanation:

;v;

hurry i only got 15 min

Answers

1st option
-2 is -1 + -1
3= +1+1+1

Answer:

Its the A

first

Step-by-step explanation:

3 is positive ( + )

2 is Negative ( - )

530, 6%, 1 year i dont think the answer is 3189 it told me i was wrong so yea please help

Answers

Answer:

6% of 530 is 31.8 hope this is what you ment

The product of a 3 and the sum of number and 5 is equal to 60

Answers

Answer:

3n + 5 =60

Step-by-step explanation:

Answer : n=55/3

Number 10 will be marked brainliest

Answers

Answer:

Sorry. Please mark as brainliest

Miranda has borrowed $2000 from Bank of America to help pay for a flat screen TV. The $2000 was obtained at a rate of 5% for a period of 36 months. How much will she have paid for the TV after the 36 months?

Answers

Answer:

u get 300

Step-by-step explanation:

so what ur looking for is the "I" and first we covert 36 months in 3 years the do this set up 2000(0.05)3
Other Questions
Your student class council needs $600 for the Winter Dance. With only $210 in their treasury, the council decided to raise the rest by selling donut coupons for a profit of $1.50 per dozen. Write and solve an equation to find how many donut coupons they will need to sell Alice and her two sisters, Betty and Carol, are avid tennis players. Betty is the best of the three sisters, and Carol plays at the same level as Alice. Alice defeats Carol 50% of the time but only defeats Betty 40% of the time. Alices mother offers to give her $100 if she can win two consecutive games when playing three alternating games against her two sisters. Since the games will alternate, Alice has two possibilities for the sequence of opponents. One possibility is to play the first game against Betty, followed by a game with Carol, and then another game with Betty. We will refer to this sequence as BCB. The other possible sequence is CBC.Calculate the probability of Alice getting the $100 reward if she chooses the sequence CBC. Solve this system of equation without graphing.5x + 2y = 295x - 2y = 41 NYJ, Inc. borrowed $800,000 on June 1, 2020, and signed a nine-month note bearing interest at 5%. Principal and interest are payable in full at maturity. In connection with this note, NYJ, Inc. should record interest expense in 2021 in the amount of: Can someone help me with this? Im genuinely confused its been three hours and no one helped me :( Do you agree that star hasn't trusted Chris? Give five examples that are bad Samaritan in social media Forests are considered nonrenewable resources primarily because of the.Choose the correct answer.a. difficulty in engineering wood alternativesb. challenge to harvest fibers from other plantsc. demand for wood in a wide variety of productsd. decreased need for wood products in manufacturing I really need help with this ? Name the property that the statement illustrates.If ZABC - ZDEF and ZDEF ZGHI, then ZABC - ZGHI. two friends are talking about going to a traitor to watch movie tonight Write the equation of the parabola in vertex form.Vertex (2,3), point (1,-4) Name the 3 cell surface protiens. If you could help me with i was i would be so gratefulWhich of the following is not a major Canadian city?A.TorontoB.CalgaryC.AlbertaD.Montreal How dose the syntax contribute to the voice The Articles of Confederation had a strong Executive Branch. A. True B. False help i forgot 3(x4)2x+3 explain why a wrecking ball can destroy a building, but a yo-yo cant. Use the term kinetic energy in your explanation. What is used to meassure population density 1. sq.foot2. cubic foot3. sq. kilometer What is the function of structure c ?