Complete Question:
Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.
Write an equation using the Pythagorean Theorem to find the value of x.
How far are Ava's feet from the balloon?
Answer:
Ava's feet is 17ft away from the balloon
Step-by-step explanation:
Given
[tex]height = 8ft[/tex]
[tex]distance = 15ft[/tex]
The attached image represents the scenario
Using Pythagoras theorem (from the attachment), we have:
[tex]x^2 = 8^2 + 15^2[/tex]
[tex]x^2 = 64 + 225[/tex]
[tex]x^2 =289[/tex]
Take square roots of both sides
[tex]x = \sqrt{289[/tex]
[tex]x = 17[/tex]
Ben purchases a coffee and several cupcakes. If he spends a total of $14.40, how many cupcakes did he purchase. Prices Coffee: .............. $1.90 cupcake: .................$2.50
Answer:
5 cupcakes
Step-by-step explanation:
5 ×$2.50 is $12.50+ $1.90 is $14.40
PLEASEEE HELP!
The conservation club coordinator is recruiting volunteers to help build a shed for recycling. She knows that finishing the shed will take 120 work hours. She figures out that if she can find one more person to help, the project will take a half hour less per volunteer. How many volunteers have already signed up?
Answer:
4
Step-by-step explanation:
120/30=4
12 volunteers already signed up.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
She knows that finishing the shed will take 120 work hours.
let n be the number of volunteers.
So, 1/n - 1/(n+1)= 1/120
(n+1-n)/n(n+1)= 1/120
1/n²-n = 1/120
n² - n= 120
n² - n -120= 0
n= 11.46 and n= -10.46
Thus, 12 volunteers already signed up.
Learn more about Algebra here:
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Terrance has 12 of the 15 collector's edition books in a series. Keymar has LaTeX: \frac{4}{5}4 5 of the series. Who has more books? Group of answer choices both oof them Terrance keymar
Answer: Both of them
Step-by-step explanation:
There are 15 books in the series.
Terrance has 12 of them and Keymar has 4/5 of them.
The number that Keymar has is:
= 4/5 * 15
= 60/5
= 12 books
They therefore both have the same number of books from the collection.
OMG!!! Help MEH 20 PIONTS AND CROWN I REALLY NEED HELP :'( I NEED MY GRADE UP EVERYTHINGS BELOW
Answer:
Question 3: There are two sets of like terms. The first one is 4 and -2. The second one is -4z, 5z and 2z. When you combine them the answer is 2+3z.
Question 2: -24-3x
Answer: Hope This Helps <3
Step-by-step explanation:
Question 1: 2+3z
Question 2: -24-3x
Hope your grades get better <3
what is the value of b?
Answer:
The b-value is the middle number, the number next to the x
Step-by-step explanation:
An initial investment of $200 is worth $315.24 after seven years of continuous compounding. Find the interest rate.
Answer:
16.46
Step-by-step explanation:
subtract 315.24-200=115.24
then divide 115.24 and 7 to see what you get each year which is 16.46 rounded not rounded id 16.462857143.
SOMEBODY PLEASE HELP ME THIS IS A TEST QUESTION.The population of bacteria doubles every hour. At 9 AM. The population is 12 bacteria. The function P (t)=12•2^t models the bacteria population tea hours after 9 AM what is the value of P (5) what does it represent in context
Answer:
The population is 384 bacteria at 2pm
Step-by-step explanation:
Because u just need multiplied
A right rectangular prism is shown. Find the surface area of this prism. A) 80 square feet B) 164 square feet C) 196 square feet D) 220 square feet PLEASE HELP
Answer:C 196
Step-by-step explanation:
Which statements are true about the system of equations? Select all that apply.
Answer:
✔The graph of the system consists of lines that have exactly one point of intersection.
✔The system has no solution
✔The system has exactly one solution.
✔The system has more than one solution.
Step-by-step explanation:
A system of linear equation is known to be a set of one or more linear equations which involve the same set of variables.
A system linear equation can have no solution, exactly one solution or infinitely one solution. When they have one solution, the lines have exactly one point of intersection. When they have no solution, the lines are parallel and when they have more than one solution, the equations are the same.
True or false. The GCF of 6 and 12 is 2?
the perimeter of a square patio is (8x-28). what is the length of one side?
Answer:
choice 1) 2x - 7
Step-by-step explanation:
(8x - 28)/4 = 2x -7
what is the mixed number: 1 and 3/4 as a percent
Answer:
175%
Step-by-step explanation:
1 would be 100%
3/4 would be 75%
100%+75%=175%
4(g - h) + 10 , when g = 12 , h = 7
Answer: 30
Step-by-step explanation:
4 (12 - 7 ) + 10
Do 12 - 7 first. It'll equal 5
4(5)+10
Now multiply 4 and 5.
It'll be 20.
20+10 =30
Answer:
30
Step-by-step explanation:
4(12-7)+10 or: 4(12-7)+10
48-28+10 4(5)+10
20+10 20+10
30 30
you can do it either way hope this helps
Two trains, Train A and B, weigh a total of 251 tons. Train A is heavier than train B. The difference of their weights is 181. What are the weights of each train?
Answer: A = 216; B = 35
Step-by-step explanation:
Based on the information given in the question, we can then make it into a mathematical equation. This will be:
A + B = 251 ....... i
A - B = 181 ....... ii
From equation i,
A = 251 - B
Put the value of A into equation ii
A - B = 181
(251 - B) - B = 181
251 - B - B = 181
251 - 2B = 181
2B = 251 - 181
2B = 70
B = 70/2
B = 35
Since A = 251 - B
A = 251 - 35
A = 216
Plz help i know it is a lot, but could somebody, do al least a few?? plz (T-T)
Answer:
Step-by-step explanation:
Wow why your teacher give such things for you to do it today , you should ask you math teacher to help you , and I think the thing look like it already answer
Solve this PLZZZZZZ
Answer:
X = -1, 3
Step-by-step explanation:
3 in. 6 in. 5 in. Find the surface area of the shape above, A 14 in 2 B 56 in? C 90 in? D 126 in
Answer:
C) 90in
Step-by-step explanation:
3 x 6 x 5 = 90
shirley has $540 un her bank account. She withdraws $35 each week to cover her expenses. write an equation that relates the amount of money in her account, A dollars after n weeks.
write your answer (168 ÷ 7) × 3^2 - 43
Answer:
173
Step-by-step explanation:
Answer:
173
Step-by-step explanation:
Find the mean absolute deviation (MAD) of the following data set. Round your answer to two decimal places.
3, 10, 6, 9, 7, 4
Answer:The mean absolute deviation (MAD) of the data set=2.17
Step-by-step explanation:
The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each data value in a data set.
Given the data set
3, 10, 6, 9, 7, 4
First find the mean
Mean =Sum of data set / Number of data set
=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5
Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean
Value distance from mean
3, 6.5 -3 3.5
10 6.5 -10 3.5
6, 6.5-6 0.5
9, 6.5 -9 2.5
7, 6.5 -7 0.5
4 6.5 -4 2. 5
Last step is to find the mean of the distances which is
Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) / 6
=13/6
=2.166666 rounded up to 2.17
Hurrrry
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Answer:
I don't know that answer will come back to you
A windowpane is 6 inches by 8 inches. What is the
distance between opposite corners of the windowpane?
URGENT!!!
Using Pytharagos Thereom,
[tex]a^{2} + b^{2} =c^{2}[/tex]
36+64=100
[tex]\sqrt{100[/tex] = 10
the distance between the opposite corners is 10 inches
Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games.
Select all true statements below based on this information.
A The cost for 2 tickets is $20. The cost for 2 tickets is $20.
B The cost is $7 per ticketThe cost is $7 per ticket
C For $42 you could get 6 tickets. For $42 you could get 6 tickets.
D 12 tickets would cost you $60
Answer:
B
Step-by-step explanation:
28/4=7 therefore, each ticket is $7.
Answer:
B, C
Step-by-step explanation:
A is wrong due to the fact that if you divide $28 into 4 (family of 4), the cost is $7 per ticket. If you add 2 tickets together, or multiply $7 by 2, you get $14.
B is right due to the fact that each ticket is $7 if you divide $28 by 4.
C is right due to the fact that if you have 6 tickets worth $7 each, it would mean that the total cost of 6 tickets would be $42. (6*7 = 42)
D is wrong due to the fact that if you multiply 7 (the cost of each ticket) by 12, it gets you 84, not 60.
What is the exact distance from (−4, −2) to (4, 6)?
square root of 24. units
square root of 88. units
square root of 100. units
square root of 128. units
35 points!!
Answer:
Arf ( its 128 units)
Step-by-step explanation:
There are 500 middle school students. 60% of them ride their bikes or walk to school each day. How many middle school students ride their bikes or walk to school each day?
A. 450
B. 300
C. 400
D. 220
plsss help i need a good grade
Answer:
Step-by-step explanation:
Choose the letter of the point which is at (3.5, 3.5) in the following figure.
math easy question?
pls help
PLEASE HELP HURRY 20 POINTS AND I WILL MARK BRAINLEST
Justin’s pay is represented by this line graph.
How much is Justin paid for one hour of work?
-7=-0.2k
K=
Please help!
Answer:
Your answer should be 35 :)
Step-by-step explanation:
Hope this helps!