You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 57⁰ and the distance to the kite is 300 feet. Your hand is 5 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.
Answers
Answer:
256.6 feet
Step-by-step explanation:
First, I recommend drawing a picture for problems like this. See attached for my example!
-> What does the "angle of elevation" mean? In summary, if your hand has a line going out in both directions horizontally from it, it is the angle "up" to the kite.
Now, let us find out what formula(s) we will use to solve this problem.
-> We have two of the angles (so we can easily find the third) as well as the hypotenuse
-> We are solving for one of the legs, then adding five feet to it
-> I think I will use the 57° angle and the sine function since we have the hypotenuse and are solving for the opposite side (to the angle 57°)
Lastly, we will solve! First, I will find the length of the opposite side to the 57° angle.
sin(θ) = [tex]\frac{opposite}{hypotenuse}[/tex]
sin(57°) = [tex]\frac{x}{300}[/tex]
300sin(57°) = x
251.6 ≈ x
x ≈ 251.6 feet
Now we will add 5 feet to 251.6 since your hand is 5 feet above the ground.
251.6 + 5 = 256.6
Related Questions
Convert the equation into Slope-Intercept Form:
x - y = 11
Answers
Use the formula y=mx+b to help you convert problems like this into slope - intercept form.
A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseball cost $4 each. The inequality 185+4b≤1,000 can be used to determine the number of new baseball, b, that the team can purchase. Which statement about the number of new baseballs that can be purchased is true?
Answers
This question is incomplete
Complete Question
A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseballs cost $4 each.
The inequality 185 + 4b ≤ 1,000 can be used to determine the number of new baseballs (b) that the team can
purchase. Which statement about the number of new baseballs that can be purchased is true?
A. The team can purchase 204 new baseballs.
B. The minimum number of new baseballs that can be purchased is 185.
C. The maximum number of new baseballs that can be purchased is 185.
D. The team can purchase 185 new baseballs, but this number is neither the
maximum nor the minimum.
Answer:
D. The team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.
Step-by-step explanation:
The first step would be to solve the given equation:
185 + 4b ≤ 1000
4b ≤ 1000 - 185
4b ≤ 815
Divide both sides by 4
b ≤ 203.75
The maximum amount of baseballs the team can buy is 203. This means that they can buy 203 or less than that amount.
Of all the options give, option D is the correct option because the team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.
The maximum number of ball they can buy is 203 balls and the minimum is zero.
how to solve matrix addition and subtraction
Answers
Answer:
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&3&3\\-4&3&3\end{array}\right] -\left[\begin{array}{ccc}4&-3&4\\-1&5&0\end{array}\right] =\left[\begin{array}{ccc}1-4&3+3&3-4\\-4+1&3-5&3-0\end{array}\right] =\left[\begin{array}{ccc}-3&6&-1\\-3&-2&3\end{array}\right][/tex]
1. Martha can complete 15 activities a day at summer camp. She can choose between crafts or sports.
Answers
Answer:
art
Step-by-step explanation:
The length of a rectangle is five times its width.
If the area of the rectangle is 405cm^2, find perimeter
Answers
Answer:
108
Step-by-step explanation:
Let's say the width is x
Of the length is 5 times the width, then the length is 5x
Area = length * width
405 = x * 5x
405 = 5x^2
405/5 = 5x^2/5
81 = x^2
Take the square root of both sides
2/[81 = 2/[x^2
9 = x = width
9 × 5 = 45 = length
Perimeter = 2 × length + 2 × width
2 × 45 + 2 × 9
90 + 18 = 108
solve the equation x^{3}-8x^{2}-20x=0
Answers
Answer:
[tex]x(x {}^{2} - 8x - 20) = 0[/tex]
Use the quadratic formula to simply the second degree equation;
[tex]x(x + 2)(x - 10)[/tex]
[tex]x1 = 0[/tex]
[tex]x2 = - 2[/tex]
[tex]x3 = 10[/tex]
Please help :( On the coordinate grid shown below, pentagon J is similar to pentagon K.
Which sequence of transformations could be applied to pentagon J to create pentagon K?
A. a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right
B. a reflection across the x-axis, then a translation 2 units up and 8 units right
C. a rotation 90° clockwise about the origin, then a translation 1 unit down and 5 units right
D. a reflection across the y-axis, then a translation 4 units right
Answers
Answer:
A
Step-by-step explanation:
i think it's A, i am not 100% sure and i cannot give you a full explanation why because i am doing it in my head, but i mentally did all the other ones and A is the only one that would work
Use > , < , or = to compare the numbers below:
49 ____ 49
Answers
Answer: =
Step-by-step explanation:
49 = 49
Answer:
=
Step-by-step explanation:
if we have 49 cookies, and another person also had 49 cookies, then my friend and I would have the equal amount of cookies. 49 is not less than 49, and 49 is not greater than 49.
Which of the following statements is NOT true?
The rate of change and the constant of proportionality are the same value in a proportional relationship.
The value of and the value of Ay are different in a proportional relationship.
A proportional relationship is a linear relationship.
The unit rate and the k-value are the same value in a proportional relationship.
х
Answers
#9 find the slope in the graph MULTIPLE CHOICE
Answers
#2 is C
Your welcome
Need help on this question ASAP PLEASEE and thank you!! (:
Answers
Answer:
8^(3x-4)=5x+4
The radius of a circle is 111 units.
What is the diameter of the circle? khan academy
Answers
Answer:
222
Step-by-step explanation:
Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle.
Write an equation in slope intercept form of the line that has a slope of 6 and goes through the point (3,-2)
Answers
Answer: y=6x-20
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLINEST
Which expression is equivalent to 7 2/3 ⋅ 71/4?
A. 7 3/7
B. 7^-1
C. 7 5/12
D. 7 11/12
Answers
Step-by-step explanation:
D. 7 11/12
hope this help!!!
Brianna asked 45 students if they would vote for her to be student council president. She used her calculator to compare the number of students who said yes with the total number of students. Her calculator showed the result as 0.6222.... Answer parts a and b. a. Write this number as a fraction.
Answers
Complete question :
Brianna asked 45 students if they would vote for her to be student council president. She used her calculator to compare the number of students who said yes with the total number of students. Her calculator showed the result as 0.6222...
1. Write this number as a fraction (Steps)
2. How many students said they would vote for Brianna?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Total number of students = 45
Proportion of those who said yes to the total number of students = 0.62222...
1.) writing 0.622222... as a decimal
0.62222 / 1
Multiply numerator and denominatior by 100000 to get rid of the decimal
62222/100000
= 31111 / 50000
Let number who said yes = y
Then,
y / 45 = 31111/50000
50000y = 1399995
y = 1399995 / 50000
y = 27.999
y = 28
For each value of x, determine whether it is a solution to 24<4x .
Answers
Answer:
No, Yes, No, Yes
Step-by-step explanation:
1. 24
According to an article, 75% of high school seniors have a driver's license. Suppose we take a random sample of 300 high school seniors and find the proportion who have a driver's license. Find the probability that more than 77% of the sample have a driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample Proportions have been met
Answers
Using the normal distribution and the central limit theorem, it is found that there is a 0.2119 = 21.19% probability that more than 77% of the sample have a driver's license.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, we have that:
75% of high school seniors have a driver's license, hence p = 0.75.A sample of 300 is taken, hence n = 300.The conditions are verified because:
np = 300 x 0.75 = 225 > 10.
n(1-p) = 300 x 0.25 = 75 > 10.
The mean and the standard error are given by:
[tex]\mu = p = 0.75[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.75(0.25)}{300}} = 0.025[/tex]
The probability that more than 77% of the sample have a driver's license is one subtracted by the p-value of Z when X = 0.77, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{0.77 - 0.75}{0.025}[/tex]
Z = 0.8
Z = 0.8 has a p-value of 0.7881.
1 - 0.7881 = 0.2119.
0.2119 = 21.19% probability that more than 77% of the sample have a driver's license.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Someone please help im on timed test
What is the quotient of 7.92 times 10^7 and 7.2 times 10^3 expressed in scientific notation?
Answers
Given parameters:
First number = 7.92 x 10⁷
Second number = 7.2 x 10³
Quotient is the number obtained division;
Now;
[tex]\frac{7.92 x 10^{7} }{7.2 x 10^{3} }[/tex]
= [tex]\frac{7.92}{7.2}[/tex] x 10⁷⁻³
= 1.1 x 10⁴
The quotient of the two numbers expressed in scientific notation is 1.1 x 10⁴
The box plots show the number of hours of television a group of middle school students and a group of elementary school students watch each week.
Middle School Students
2 box plots. The number line goes from 0 to 10. For middle school students, the whiskers range from 1 to 9, and the box ranges from 2 to 7. A line divides the box at 4. For elementary school students, the whiskers range from 1 to 9, and the box ranges from 4 to 7. A line divides the box at 5.5.
Elementary School Students
Which are true statements when comparing the data in the box plots? Select three choices.
The data for elementary school are more consistent than those for middle school.
More of the data for middle school lie closer to the median than the data for elementary school.
About 50% of elementary school students watch between 4 and 7 hours of television each week.
About one-half of middle school students watch less than 2 hours of television each week.
On average, middle school students watch less television than elementary school students each week.
Answers
The correct answer is A,C and D
I'm smart yw :)
Find the sum of 2+37/8+20/9
Answers
8/61/72
Step-by-step explanation:
use scientific calculator ❗
Which inequality is represented on the line?
-11-10
Answers
Answer:
Ello Haikyuu here!
Step-by-step explanation:
Inequalities on a number line. Inequalities can be represented on a number line as shown in the inequalities below: Note: the open circle above a number means it is not included as part of the solution to the inequality while the solid circle means that it is.
uh I hope this is right, i'm not sure
but here ya go! :3
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x+4y=4
Answers
Answer:y=x+7
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS
Answers
Answer:
i think its the first one
Answer:
-1 vertical, 5 horizontal
Step-by-step explanation:
On the y-axis, the shape has moved down 1, which is –1 vertical.
On the x-axis, the shape has moved right 5, which is 5 horizontal.
Max loves fishing. He and his family chartered a fishing boat that left Florida and traveled towards the Bahama Islands at an
average speed of 10 km/hour. Some time later a cruise ship left traveling in the same direction but at an average speed of 14
km/hour. After traveling for ten hours the cruise ship caught up with the fishing boat. How long did the fishing boat travel before
the cruise ship caught up?
Note: Remember to find the time the fishing boat was traveling not just what x is.
Select the correct response:
28 hours
24 hours
14 hours
12 hours
Answers
The fishing boat traveled for 14 hours before the cruise ship caught up.
We have,
Let's assume that the fishing boat traveled for x hours before the cruise ship caught up.
In that time, the fishing boat covered a distance of 10x km.
During the same 10 hours, the cruise ship traveled 14 x 10 = 140 km.
Since both the fishing boat and the cruise ship covered the same distance, we can write:
10x = 140
Solving for x, we get:
x = 14
Therefore,
The fishing boat traveled for 14 hours before the cruise ship caught up.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Quadratics
Give an example of an x-intercept from a vertex form equation.
Answers
Can you please help me solve this using multiplication 1/2x+4=3
Answers
Answer:
x = -2
Step-by-step explanation:
[tex]\:\frac{1}{2}x+4=3[/tex]
[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}[/tex]
[tex]\frac{1}{2}x+4-4=3-4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{1}{2}x=-1[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]
[tex]2\cdot \frac{1}{2}x=2\left(-1\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-2[/tex]
[RevyBreeze]
jessica's fish tank has 19 liters of water in it. she plans to add 5 liters per minute until the tank has more than 59 liters. what are the possible numbers of
minutes jessica could add water?
use t for the number of minutes.
write your answer as an inequality solved for t.
Answers
Answer:
8 minutes.
Step-by-step explanation:
Using ' t ' for the number of minutes.
" 59 > 19 + 5t "
→ Solve for t...
= 59 > 19 + 5t
= 59 - 19 > 5x
= 40 > 5t
= 40/5 > t
= 8 > t
Thus, It will take 8 minutes to add 59 litres of water.
19+5t>59
5t>59-19
5t>40
t>8
Question Below However i have to fill in the 20 characters so yeah comment the answer
Answers
Using proportions, it is found that the change in 2007 was about 5.07 times greater than the change is 2000.
What is a proportion?A proportion is a fraction of a total amount. Using it, to find how many times a measure a is greater than a measure b, we divide a by b.
In this problem:
In 2007, the change was of $0.71.In 2000, the change was of $0.14.Hence:
$0.71/$0.14 = 5.07.
The change in 2007 was about 5.07 times greater than the change is 2000.
More can be learned about proportions at https://brainly.com/question/24372153
Can anyone help in this question......
Answers
Answer:
They are all 100
Step-by-step explanation:
Each side has a meaning it is the same and all but one have an a. The one that doesnt has 100.
The answer is 100
Have an amazing day!
PLEASE RATE!!
Step-by-step explanation:
Total angle of regular pentagon = 540
4a + 100 = 540
4a = 440
a = 110°
PLEASE HELP THIS IS DUE IN 10 MINUTES
How would you solve for x?
11,928/1,988 = x/1
Answers
Answer:
6/1 GO GO GO
Step-by-step explanation: