Using the Pythagorean Theorem, it is found that the balloon rises 67.08 feet.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Researching this problem on the internet, it is found that the situation is modeled by a right triangle, in which the horizontal distance between the balloon and the student is of 60 ft, the vertical distance is of h, while the hypotenuse is of 90 ft, hence:
[tex]60^2 + h^2 = 90^2[/tex]
[tex]h = \sqrt{90^2 - 60^2}[/tex]
[tex]h = 67.08[/tex]
The balloon rises 67.08 feet.
More can be learned about the Pythagorean Theoremat https://brainly.com/question/26396675
PLS HELP
WILL GIVE BRAINLIEST
answer:
(-7; -5)
step by step
Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply.
The equations that has a leading coefficient of 3, and a constant of -2 are:
0 = 3x² + 2x – 2
0 = –3x + 3x² – 2
0 = –1x – 2 + 3x²
What is a Leading Coefficient?A leading coefficient is the term that has the highest degree in a polynomial expression.
What is a Constant?A constant is a term that has only numbers and contains no variable.
We are given the following equations:
0 = 3x² + 2x – 2 0 = –2 – 3x² + 3 0 = –3x + 3x² – 2 0 = 3x² + x + 2 0 = –1x – 2 + 3x²The first, third, and last equations each has a leading coefficient of 3 and a constant of -2.
Therefore, the equations that has a leading coefficient of 3, and a constant of -2 are:
0 = 3x² + 2x – 2
0 = –3x + 3x² – 2
0 = –1x – 2 + 3x²
Learn more about leading coefficient on:
https://brainly.com/question/99237
Which set of numbers could represent the lengths of the sides of a right triangle?
13, 21, 34
8, 14, 21
15, 18, 26
12, 16, 20
Answer:
9*9+40*40=41*41
Step-by-step explanation:
The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent the sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent the sides of a right triangle.
Which equation represents the line that passes through the point (-2,5) and has a slope of - 3
Answer: Answer:
A. is your answer
When using the Slope Method, your answer is y - 5 = 4(x - 2).
Feel free to give brainliest.
Have a great day everyone!
pls help i will give 5 starts and brainliest question is down below 9:22
4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.
5) B
Area of a triangle = ½ bh.
where b = base &
h = height.
Area of outer shape = (½ x 16 x 12) in^2.
= 96 in^2.
Area of unshaded inner shape = (½ x 3 x 4) in^2.
= 6 in^2.
Area of shaded region = (96 – 6) in^2.
= 90 in^2.
Please help ASAP!
The domain of this function is {-12, -6, 3, 15}.
y= 2/3x + 7
Complete the table based on the given domain.
is 56/72 and 7/9 proportional
Answer:
Yes. They are proportional.
Step-by-step explanation:
[tex]\frac{56}{72} =\frac{7}{9}[/tex]
[tex]0.777=0.777[/tex]
The left side 0.777 is equal to the right side 0.777, which means that the given statement is always true.
True
Can someone please help me out with this question?
Use the slope formula and pick any two points to find the slope.
m= Y2- Y1/x2-x1
I picked the points (1,8) (3,14).
14-8/3-1= 6/2= 3
Hope this helps .
please help me answer the question in the image
Answer:
2x/x+2
Step-by-step explanation:
Factor out 2x in the numerator
Then you get: 2x(x+4)
Factor the denominator
Two numbers that multiply to 8 and add to 6(2 and 4)
So you get: (x+2)(x+4)
Now you have: (2x(x+4))/(x+2)(x+4)
Simplify by cancelling the x+4
2x/x+2
Hey there!
Answer: [tex] \Rightarrow \boxed {\sf{\frac{2x}{(x+2)}}}[/tex]
Solving steps:-
[tex] \rightarrow\sf{\frac{ {2x}^{2} + 8x}{ {x}^{2} + 6x + 8} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ {x}^{2} + 4x +2x + 8} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ x (x + 4) +2(x + 4)} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x\sout{(x + 4)}}{ \sout{(x + 4)} (x + 2)} }[/tex]
[tex] \rightarrow\sf{\frac{ 2x}{ (x + 2)} }[/tex]
~Done~
Find the area of the shaded figure. To do so, subtract the area of the smaller
square from the area of the larger square,
Square
(x²-3)
x meters
meters
The area of the shaded region is
(Simplify your answer. Do not factor)
Answer:
x⁴ - 8x² + 9
Step-by-step explanation:
The Area of the smallest square is A1 = x . x = x²
The Area of the second square is A2 = ( x² - 3 )(x² - 3)
A2 = x⁴ - 3x² - 3x² + 9
A2 = x⁴ - 6x² + 9
The Area of the Shaded shape is A2 - A1
x⁴ - 6x² + 9 - x²
x⁴ - 8x² + 9
Write y – 3 = (x – 6) in standard form.
Answer:
x-y=3
Step-by-step explanation:
Answer:
[tex]x - y = 3[/tex]
is
[tex]y - 3 = (x - 6)[/tex]
in standard form
omly
Purple
Green
Blue
in
Number
6
9
5
of trials
Based on the data, how many times
would you expect Anya to pick a
purple marble if she ran 90 trials?
The are 3 blue marbles, 4 red marbles and 2 yellow marbles. Find the ratio of blue marbles to red and yellow marbles.
Question 2 options:
4:3
3:4
3:2
1:2
Step-by-step explanation:
3 blue
4 red
2 yellow
in total 9 marbles.
when looking at the 3 blue marbles that leaves 9-3 = 6 others (red and yellow).
so, the ratio is
3:6 = 1:2
remember, a ratio is a fraction and follows the same rules of calculation, simplification, ...
Please help .!!!!!!!!!!!!!!!
This being a piecewise function, trying to solve f(2), we must find which two equations we can use.
We can use the function '3x + 1' because its domain is 'x is greater than or equal to 2
--> f(2) = 3(2) + 1 = 7
Hope that helps!
Can you guys please help!!!??
ur mom
Step-by-step explanation:
#5
What is the value of x ? Round to one decimal place if
necessary. If your answer is correct you will see ar
image appear on your screen.
F
Submit
40°
50°
T
✓
D
X
E
Answer:
6
Step-by-step explanation:
because 5 is greater than 4
pls help with this brain boggling work
:)
Answer:
$10/hour
Step-by-step explanation:
The graph shows the relation between the number of hours Hachi works to the money he earns at his jobSolving
Pay rate = Money earned / Number of hoursPay rate = 10/1 = 20/2 = 30/3 = .... ⇒ $10/hourTake two points and find slope
(0,0)(1,10)Slope
m=10-0/1-0m=10/1m=10Pay rate 10$/h
SUB - Mathematics
Grade - 9th
Q.1) Visualise 3.765 on the number line , using Succescive Magnification.
Note:-
• Kindly Don't spam
• Need Genuine Answer
• Don't need plagiarised answer .
• Spam/wrong/short answers will be reported....
• Don't be greedy for points.
Step-by-step explanation:
Introduction:-Successive magnification:
In this process, we use to represent real numbers and visualize them on the number line such as by the magnifying glass, due to this we refer it as successive magnification.
Solution:-Since, we're given to visualize 3.765 on the number line, we take the number line from between 3 and 4Then, in between 3 and 4, we then visualize the portion of 3.7 and 3.8Again, in between 3.7 and 3.8, we visualize the portion of 3.76 and 3.77.At last, we point out the required number for visualizing that is 3.765, in between 3.76 and 3.77.simplify (3a^2-6a+3)/(a^2-1) if a is not 1
[tex]\dfrac{3a^2-6a+3}{a^2-1}\\\\=\dfrac{3(a^2 -2a+1)}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)^2}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)}{a+1}\\\\=\dfrac{3a-3}{a+1} ~~~\text{for}~ a\neq 1[/tex]
2x-5y=9
3x+4y=2
solve the simultaneous questions
Answer for first question: x-intercept(s): (92,0)(92,0) y-intercept(s): (0,−95) for second question : x-intercept(s): (23,0)(23,0) y-intercept(s): (0,−12)
Step-by-step explanation:
what is 5x+10 in its simplifiyed form?
srry for my spelling, in a rush- lol
Answer:
5(x+2)
Step-by-step explanation:
A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.
What is the volume of the prism?
45 m³
54 m³
69 m³
108 m³
The volume of this right prism that has a triangular base is equal to 108 cubic meters.
The volume of a right prism.Mathematically, the volume of a right prism is given by this formula:
V = L x W x H
Where:
L is the length.W is the width.H is the height.V is the volume.Given the following data:
Length of base = 6 meters.
Width of base = 4 meters. cm.
Height of prism = 4.5 meters.
Substituting the given parameters into the formula, we have;
V = 6 x 4 x 5
V = 108 cubic meters.
Read more on volume of prism here: brainly.com/question/3867601
Answer: 54 m³
Step-by-step explanation: proof with more answers
9 and 12 are relatively prime.
True or false
Answer:
False.
Step-by-step explanation:
Because 12 and 9 are both multiples of 3.
A number line going from negative 10 to positive 10. Use the number line to help you answer the question. Which statements are true? Check all that apply. –4 < –8 |–4| < |–8| |–5| > 1 –5 > |1| |–2| = |2|
Answer:
2. |-4| < |-8|
3. |-5| > 1
5. |-2| = |2|
Answer:
2,3,5 are correct
Step-by-step explanation:
i took the test
What is the value of x in the figure at the right?
Answer:
x=11
Step-by-step explanation:
It seems that the two angles are supplementary. Soo they add up to 180
Thus,
15+15x=180
Solve for x...
15x=165
x=11
Hope this helps!!!
A watch company is developing packaging for its new watch. the designer uses hexagons with a base area of 25 in2 and rectangles with a length of 10 in to create a prototype for the new package. what is the volume of the prototype? 150 in3 200 in3 250 in3 300 in3
Answer:
The answer should be C. 250 in^3
Answer:
C. 250 in^3
Step-by-step explanation:
-77 Rational of Irrational?
Answer:
Rational
Step-by-step explanation:
A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number.
can you help me pls? i need it
Answer:
$168.75
Step-by-step explanation:
In the morning you'll have a time of about 4 hours.
In the afternoon you'll have 8.5 hours.
You take these and add them together 4 + 8.5 = 12.5
Then you take your sum and multiply it by the wage you make per hour 13.50 x 12.5 = $168.75
PLEASE HELP ME! AFCVGBHNJMK
The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?
Answer:
9 and 18
Step-by-step explanation:
let the numbers be x and 2x
so that x+2x=27
3x=27
x=9
so the numbers are 9 and 18.
I hope this will help
Answer:
9 and 18[tex] \\ [/tex]
Step-by-step explanation:
It is given that, the sum of two numbers is 27 and one of the number is 2 times as large as the other.
[tex] \\ [/tex]
Let us assume the one number as x and as state in the question, one of the number is 2 times as large as the other (x) . So, the other number will be 2x .
[tex] \\ [/tex]
Now,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x + 2x = 27 \:}}} \\ \\[/tex]
Adding like terms we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3x = 27 \:}}} \\ \\[/tex]
Dividing both sides by 3 we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad \frac{3x}{3} = \frac{27}{3} \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad {x} = {9} \:}}} \\ \\[/tex]
So,
One of the number is 9.[tex] \\ [/tex]
Now,
[tex] \\ {\longrightarrow \pmb{\frak {\qquad Other \: number = 2x \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 2(9) \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 18 \:}}} \\ \\[/tex]
Therefore,
The two numbers are 9 and 18.The diameter of a wheel from a bicycle is 66 cm about how far will the wheel travel in one complete turn.
since the diameter is 66 cm, then its radius is half that or 33 cm.
[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \underset{complete~turn}{\theta =2\pi ~\hfill } \end{cases}\implies s=(33)(2\pi )\implies s=66\pi \implies s\approx 207.34~cm[/tex]