3.
Use the Pythagorean Theorem or knowledge on special right triangles to
find the missing variable in the following triangles.
Part A:
Part B:
45°
9
30v2
45°
30V2
b
Answers
Answer:
Part A: [tex]l = 60[/tex], Part B: [tex]b = \frac{9\sqrt{2}}{2}[/tex]
Step-by-step explanation:
The Pythagorean Theorem determines the length of the hypotenuse of right triangle ([tex]r[/tex]) by means of following formula:
[tex]r^{2} = x^{2}+y^{2}[/tex] (1)
Where [tex]x[/tex], [tex]y[/tex] are respective lengths of each leg.
Now we proceed to solve on each triangle:
Part A: ([tex]r = l[/tex], [tex]x = y = 30\sqrt{2}[/tex])
[tex]l^{2} = (30\sqrt{2})^{2}+(30\sqrt{2})^{2}[/tex]
[tex]l^{2} = 3600[/tex]
[tex]l = 60[/tex]
Part B: ([tex]r = 9[/tex], [tex]x = b[/tex], [tex]y = \frac{9\sqrt{2}}{2}[/tex])
[tex]9^{2} = b^{2}+\left(\frac{9\sqrt{2}}{2} \right)^{2}[/tex]
[tex]81 = b^{2}+\frac{81}{2}[/tex]
[tex]b^{2} = \frac{81}{2}[/tex]
[tex]b = \frac{9\sqrt{2}}{2}[/tex]
Related Questions
Write an equation in slope intercept form that describes a line with a slope of 3 and containing the point (5,-1)
Answers
Answer:
y = 3x - 16Step-by-step explanation:
Equation of line with a given slope of a and containing a given point (x₀, y₀):
y - y₀ = a(x - x₀)
a = 3, x₀ = 5, y₀ = -1
So:
y - (-1) = 3(x - 5)
y = 3x - 15 - 1
y = 3x - 16
A hockey player uses her stick to hit a hockey puck. Which statement describes the energy transfer?
Answers
Find the constant of proportionality. what is the percent decrease? the input is 20 and the output is 16. I’ve been stuck on this problem for a long time please help!
Answers
Answer:
80%
Step-by-step explanation:
Carnival M charges an entrance fee of and per ticket for the rides. Carnival P charges an entrance fee of and per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?
Answers
Answer:
25 tickets
Step-by-step explanation:
Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?
Let
x = number of tickets
Carnival M = 5 + 0.65x
Carnival P = 10 + 0.45x
Equate both cost
5 + 0.65x = 10 + 0.45x
5 - 10 = 0.45x - 0.65x
-5 = - 0.20x
x = -5 / -0.20
x = 25 tickets
25 tickets tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same
plz help!!! i’ll mark brainliest!!
Answers
Answer:
6
Step-by-step explanation:
I'm sorry if it wrong.
Hope that helps
ILL GIVE YOU BRAINLYIST
Answers
Answer:
rectangle
Step-by-step explanation:
thank u
3=m/12
help asap Have a great day:)
Answers
Answer:
3=m/12
3×12=m
36=m.
................
A hula hoop measures 14 inches from the center to the outside. What is the distance around the hula hoop?
A. 21.98 in
B. 175.84 in
C. 43.96 in
D. 87.92 in
Answers
Answer: D. 87.92 in
Step-by-step explanation:
The hula hoop is a circular shape so assume that this is a circle.
The 14 inches that it measure from the center to the outside is therefore the radius.
The distance around the hula hoop being looked for is the circumference.
Circumference of a circle = 2 × π × radius
= 2 * 22/7 * 14
= 88 inches
Closest answer in options is D. 87.92 inches.
Which expressions show the volume and the surface area of this cube-shaped packing box?
A cube with a dimension of 1 and five-eighths feet.
Answers
Answer and Step-by-step explanation:
The bottom right answer choice is the answer.
To find the volume, you do (length × width × height)
And to get the surface area, you do [tex]6(x)^{3}[/tex]
We just have to plug 1 [tex]\frac{5}{8}[/tex]
Where did they get [tex]\frac{13}{8}[/tex]?
They made the mixed fraction into a fraction by multiply 8 by 1, then adding that product to 5.
Which leads us to the answer choice being the bottom right.
#teamtrees #WAP (Water And Plant)
Answer:
D. V = (13/8)³ ft³, SA = 6(13/8)² ft²Step-by-step explanation:
Volume of the cube:
V = a³Surface area of the cube:
SA = 6a²Given cube has side of 1 5/8 feet = 13/8 feet
Substitute the value of a:
V = (13/8)³ ft³SA = 6(13/8)² ft²Correct option is D
Genesis mowed 5 lawns on Saturday and 3 lawns on Sunday and earned $368. She earned the same amount mowing each lawn. How much did Genesis earn mowing each lawn? *
Answers
Pleasee helpp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
x = 146º
Step-by-step explanation:
the sum of two angles on the same side is 180º
x + 34º = 180º subtract 34º from both sides
x = 146º
True or False. The vocabulary words expected value and mean are interchangeable.
Answers
what is 3 times 4 equal?
Answers
explanation: you are adding 3 to itself 4 times
you could think of it like 3+3+3+3
Okay pls help and as always don't answer if you don't know and if you want points then tell me in the COMMENTS and I'll be happy to make a thing just for u!!!♥️ Thanks luv u!!
It would be nice if you did all of them thanks:(
Answers
Answer:
The answer would be 3 m.
Step-by-step explanation:
Answer:
1. A, 3 m
2. B, 60 cm^2
3. C, 31.8 ft
4. D, A = 34.96 cm^2 ,P = 26.6 cm
5. C, 9 f
Sorry if anythings wrong it's been awhile since I did this.
helpp please 6a-11=13
Answers
Answer:
A=18 because 6+18 (was 6+a) is 24 - 11 = 13
Step-by-step explanation:
A=18
Answer:
a = 4
Step-by-step explanation:
add 11 on the = side 11+13 = 24
now you're left with: 6a=24
divide 6÷24
a= 4
(06.01)
The graph shown is a scatter plot:
A scatterplot is shown with the values on the x-axis in increasing units of 1 and the y-axis in increasing units of 10. The data moves in an upward cluster. Point S has coordinates 1.68 and 67. Point T has coordinates 0.7, 6.8. Point U has coordinates 4.12, 38.2. Point V has coordinates 8.04, 77.6. Additional points are located at 1 and 20, 2.2 and 25, and 5.8 and 59.
Which point on the scatter plot is an outlier? (
Answers
Answer:
Point S
Step-by-step explanation:
It is much distance from the others, the rest are closer to the dots
Answer:
Point S is right
Step-by-step explanation:
I got it right for (08.04A) in FLVS
Heres everything in order,
1. Four graphs are shown below:
Which graph represents a positive linear association between x and y?
Answer. Graph B
2. The graph shown below is a scatter plot:
Which point on the scatter plot is an outlier?
Answer. Point S
3. A scatter plot is shown below:
What type of association does the graph show between x and y?
Answer. Linear negative association or Nonlinear negative association( I dont recall which one it is, im sry)
4.The tables below show four sets of data:
Anwser. Set B
5. The scatter plot below shows the high temperature for one day and the number of coats in the theater coat check on that same day:
What will most likely be the effect on the number of coats in the coat check if the temperature decreases?
Answer. Number of coats in the coat check will increase because the graph shows negative association
Find the inverse of the function. Is the inverse a function? f(x) = (x − 2)2
Answers
Answer:
[tex]f^{-1}(x)=\sqrt{x}+2[/tex]
Step-by-step explanation:
Given function is,
f(x) = (x - 2)²
Step - 1
Rewrite the function in the form of a equation.
y = (x - 2)²
Step - 2
Interchange the variables 'x' and 'y',
x = (y - 2)²
Step - 3
Solve the equation for y,
x = (y - 2)²
y - 2 = √x
y = 2 + √x
Step - 4
Rewrite the equation in the form of a function,
[tex]f^{-1}(x)=\sqrt{x}+2[/tex]
What is the quotient? -4/5÷2. A -1 3/5 B -2/5 C 1/2 D 1 3/5
Answers
the following table of values is linear or non-linear
Answers
what is the answer of this 4xyz + (4x2 + 3x - 5) =
Answers
Step-by-step explanation:
this is your answer to the question that you asked
Pls help me I need help
Answers
NO, It’s not a right triangle
Explanation:
Using the converse of Pythagoras’ theorem if the triangle is right then
Square on longest side = sum of square of the other sides
55^2= 3025
43^2 + 33^2 = 2938
Since 3025 ≠ 2938 not a right triangle
Write a function rule for the table.
Answers
Answer:
Option C - c= 23d+11
Step-by-step explanation:
Days are assumed as "d" and cost is assumed as "c".
34 = 23(1)+1157 = 23(2)+1180 = 23(3)+11103 = 23(4)+11So the option is C.
Hope this helps you.
please help due tomorrow
Answers
Answer:
We need to solve this system of equations by substitution:
-6x-2y =20
3y=x
Yu can do it with the letter you decide
You can get the x from the second equation and replace in the first:
3y = x
-6x - 2y = 20 -> -6(3y) - 2y = 20 --> -18y - 2y = 20 --> y=-1
Then we can replace in the second one:
3*(-1) = x ---> -3 = x
So the answer is x = -3, y = -1
Solved by substitution method:
How much is 3 times the amount of 5 apples, subtracted by 10.
Answers
The answer is 5.
First you do 3 x 5, which is 15, and then you subtract 10 from 15, leaving you with 5.
Perform the operation
(10x² – x + 1) – (9x – 2)
Help ASAP please
Answers
Answer:
10x^2-10x+3
Step-by-step explanation:
If this helped you please rate this comment, give it a like, and maybe mark it as branliest!
What is y??? Pls help meeee I don’t understand how to do it
Answers
Answer:
what do you want the slope? The y cordinate is where the points are on the y axis.
Step-by-step explanation:
Find the perimeter of the following shape
Answers
Answer:
perimeter = 2√10 + 2√5 ≈ 10.797
Step-by-step explanation:
Perimeter = DA + AB + BC + CD
DA = CB
D(4 , 4)
A(7, 5)
DA = √(7-4)² + (5-4)²
DA = √(3)² + (1)²
DA = √9+1 = √10
AB = CD
D(4, 4)
C(3, 2)
CD = √(4-3)² + (4-2)²
CD = √(1)² + (2)²
CD = √1 + 4 = √5
Perimeter = √10 +√5+√10+√5
= 2√10 + 2√5 ≈ 10.797
-19m give three like terms fast pleaseeeee
Answers
Answer:
❓❓❓❓❓❓❓
Step-by-step explanation:
what's this I can't understand
please write complete question.....
So,I can understand
Someone plz help me I will give BRAINLIEST!!!!
Answers
Answer:
Step-by-step explanation:
16 x 3 x 1/8 = (48 x 1)/8 = 48/8 = 6
Chen completed the division problem below. What is Chen’s error?
Answers
Answer:
I need the picture
Step-by-step explanation:
so where's the picture I need to see the problem in order to help