Answer:
V≈565.5cm³ is the answer
PARKING Stephanie is drawing the layout of a parking lot on a coordinate grid and needs to verify that two
sides meet in a right angle. In her sketch, one side of the parking lot has endpoints A(0,0) and B(50,0). The
second side of the parking lot has endpoints B(50,0) and C(18, 24). How can Stephanie prove that the two
sides of the parking lot meet in a right angle? Select all that apply.
® Find the slopes of AC and CB. If the product of the slopes is -1, then the sides meet in a right angle.
B Find the slopes of AB and AC. If the product of the slopes is -1, then the sides meet in a right angle.
© Find the slopes of CB and AB. If the slope of AB is the opposite of the slope of AC, then the sides meet in
a right angle.
Find AB, BC, and AC. If AB + BC = AC, then the sides meet in a right angle.
Find AB, BC, and AC. IfAB2+ BC = AC?, then the sides meet in a right angle.
Answer:
The answer is: Find the slopes of AB and AC. If the product of the slopes is -1, then the sides meet in a right angle.
Step-by-step explanation:
From Analytical Geometry, two lines are perpendicular to each other if and only if [tex]m_{1}\cdot m_{2} = -1[/tex], where [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the slopes of each line, respectively. According to this, the following expression must be observed:
[tex]m_{AB} \cdot m_{BC} = -1[/tex] (1)
Each slope can be determine by definition of the slope of a Secant Line:
[tex]m_{AB} = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
[tex]m_{BC} = \frac{y_{C}-y_{B}}{x_{C}-x_{B}}[/tex] (3)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}[/tex], [tex]y_{B}[/tex], [tex]y_{C}[/tex] - y-Coordinates of points A, B and C.
If we know that [tex]x_{A} = 0[/tex], [tex]y_{A} = 0[/tex], [tex]x_{B} = 50[/tex], [tex]y_{B} = 0[/tex], [tex]x_{C} = 18[/tex] and [tex]y_{C} = 24[/tex], then the relationship between slopes is:
[tex]m_{AB} = \frac{0-0}{50-0}[/tex]
[tex]m_{AB} = 0[/tex]
[tex]m_{BC} = \frac{24-0}{18-50}[/tex]
[tex]m_{BC} = -\frac{3}{4}[/tex]
[tex]m_{AB}\cdot m_{BC} = 0\cdot \left(-\frac{3}{4} \right)[/tex]
[tex]m_{AB}\cdot m_{BC} = 0[/tex]
Which means that both line segments are not perpendicular to each other.
In a nutshell, we need to find the slopes of AB and CB, if the product between both slopes is -1. Then, the sides meet in a right angle.
y = 3x + 4
state the slope and the y-intercept for the graph of each equation
Answer:
3x = slope
4 = y-intercept
Step-by-step explanation:
Actual formula: y = mx + b
where m = slope
b = y-intercept
Equation given: y = 3x + 4
In this case the "3x" is the slope
And the "4" is the y-intercept (it never changes as well)
Hope this helped!
Have a supercalifragilistcexpialidocious day!
Question Help
Temperature Suppose there is a 1.3°F drop in temperature for every thousand feet that an
airplane climbs into the sky. If the temperature on the ground is 46.3°F, what will be the
temperature when the plane reaches an altitude of 11,000 ft?
The temperature will be
°F (naan
Answer:
662090 thank me later god bless
4
Betsy was given £75 for her birthday.
She saved some of the money and spent the rest on a T-shirt and a bag.
Betsy saved 40% of the £75
She spent £12 more on the bag than she spent on the T-shirt.
Work out how much Betsy spent on the bag.
Answer:
Total money Betsy spent on T-shirt = £ 16.5
Total money Betsy spent on Bag = £ 28.5
Step-by-step explanation:
As given, Total money Betsy have = £ 75
Given that Betsy saved 40% of £ 75
⇒Betsy saved = [tex]\frac{40}{100}*75 = \frac{3000}{100} =[/tex]£ 30
So, total money spent on T-shirt and bag = £ 75 - £ 30 = £ 45
Let Betsy spent money on T-shirt = x
Betsy spent money on Bag = y
⇒ x + y = £ 45 ........(1)
As given, She spent £12 more on the bag than she spent on the T-shirt.
⇒ y = £ 12 + x
Put the value of y in equation (1), we get
x + £ 12 + x = £ 45
⇒ 2x + £ 12= £ 45
⇒ 2x = £ 45 - £ 12
⇒ 2x = £ 33
⇒ x = £ [tex]\frac{33}{2}[/tex] = £ 16.5
⇒ x = £ 16.5
⇒ y = £ 12 + £ 16.5 = £ 28.5
∴ we get
Total money Betsy spent on T-shirt = x = £ 16.5
Total money Betsy spent on Bag = y = £ 28.5
PLZZZZ ANSWER FAST At the beginning of spring, Robert planted a small sunflower in his backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 3 inches per week. How tall would the sunflower be after 10 weeks? How tall would the sunflower be after ww weeks?
Answer:
um 35....... i think. sorry if my answer is wrong.
Thuy wrote the system of equations. 24 x + 36 y = 72. Negative 16 x + 8 y = 80. If the second equation is multiplied by 3, what should the first equation be multiplied by to eliminate the x variable by addition?
Answer:
multiply the first equation by 2
Step-by-step explanation:
24x + 36y = 72
-16x + 8y = 80
48x + 72y = 144
-48x + 24y = 240
96y = 384
y = 4
24x + 36(4) = 72
24x + 144 = 72
24x = -72
x = -3
(-3, 4)
First equation should be multiplied by 2 to eliminate the x variable by addition.
What is the system of equation?
" A system of equation is a finite set of equations for which we find the common solution."
According to the question,
System of equations are
24x + 36y = 72
-16x + 8y = 80
As per the given condition,
Second equation multiply by 3 we get,
-48x + 24y =240
To eliminate x by adding we have to multiply first equation by 2 we get,
48x + 72y = 144
Now add both the equation we get,
96y =384
⇒ y = 4
Hence, first equation should be multiplied by 2 to eliminate the x variable by addition.
Learn more about system of equation here
https://brainly.com/question/9351049
#SPJ2
The radius of a circle is 16 feet. What is the circle's area?
Use 3.14 for .
square feet
Answer:
803.84 feet squared
Step-by-step explanation:
A=pi*r^2
16^2=256
256*pi=803.84
Solve for b, y = 2x + b
Answer:
B = 2x/y - 1 is your answer
Step-by-step explanation:
Answer:
b= y-2x
Solve for b by simplifying both sides of the equation then isolating the variable.
help it due by tonight and I have no clue how to do it
Answer:
Step-by-step explanation:
Bro, for the $500 after the rate add 12 and 12 and do that for all the rate's like when you get to the fraction rate add the fraction rate with the fraction rate
PLZZZ HELP ITS DUE VERY SOON!
Write a function to represent each series of transformations:
• rotation of 90 degrees counterclockwise about the origin, point O, then a reflection across the x-axis
• reflection across the y-axis, then a translation a units to the right and b units up
• translation a units to the right and b units up, then a rotation of 180 degrees counterclockwise about the origin, then a reflection across the y-axis
Answer:
Step-by-step explanation:
For the first one, I believe you would need to use a rotation matrix; to rotate 90º counterclockwise, the matrices would look like ; you would then multiply those out. A reflection across the x-axis would be changing the sign of f(x) (from negative to positive or positive to negative), a reflection across the y-axis would be changing the sign of x, translation a units to the right would be subtracting a from x, translation b units up would be adding b to x. Rotation of 180º about the origin would be the same format as the first matrix, except it would be cos180 and cos0 on the top and sin180 sin0 on the bottom. Reflection across the y-axis would be changing the sign of x again.
OR
1. We know that, 'Translation shifts the figure in any direction'.
As, the function f(x) is translated 'a' units to the right, the new form of function is f(x-a).
Again, the function is translated 'b' units up, the final form of the function is f(x-a)+b.
2 and 3. We know that, ' Reflection flips the image over a line'.
As the function g(x) is reflected over y-axis, the new form of the function is g(-x).
As the function h(x) is reflected over x-axis, the new form of the function is -h(x).
4 , 5 and 6. We know that, 'Rotation turns the image around a point to a certain degree'.
Let us assume the function to be a point (x,y).
As the function is rotated by 90° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{90}R
90
(x,y) = ( -y,x ).
As the function is rotated by 180° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{180}R
180
(x,y) = ( -x,-y ).
As the function is rotated by 2700° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{270}R
270
(x,
In the triangle below, what is the length of the side opposite the 30° angle?
30"
3
60"
O A. 213
O B. 313
O c.
3
2
O D. 13
Answer:
square root of 3 as shown above
50 POINTS GUYS
Deon is playing fetch with his dog with a toy that is shaped like a circle. The circumference of the toy is 12π inches.
Which measurement is closest to the area of the toy in square inches?
18.84 in.²
37.68 in.²
113.04 in.²
452.16 in.²
Answer:
113.04
Step-by-step explanation:
The required measurement is closest to the area of the toy is [tex]113.04\ inches^{2}[/tex]
Given that,
Deon is playing fetch with his dog with a toy that is shaped like a circle,
The circumference of the sculpture is 12π inches.
We have to determine,
Which measurement is closest to the area of the toy in square inches.
According to the question,
Circumference of the circle = [tex]2\pi r[/tex]
Where, circumference = [tex]12\pi[/tex]
Then,
[tex]12\pi =2\pi r \\\\r = \dfrac{12\pi }{2\pi }\\\\r = 6\ inches[/tex]
Therefore,
Deon is playing fetch with his dog with a toy that is shaped like a circle.
Area of the circle = [tex]\pi r^{2}[/tex]
Where, r = 6inches
Then,
Area of the circle is given by,
[tex]= \pi r ^{2}\\\\= 3.14 \times (6)^{2}\\\\= 3.14 \times 36\\\\= 113.04\ inches^{2}[/tex]
Hence, The required measurement is closest to the area of the toy is [tex]113.04\ inches^{2}[/tex].
To know more about Circle click the link given below.
https://brainly.com/question/20902835
Which expression has a term with a coefficient greater than 1?
m - 5 x 3
5/6m + 3
5 + 3m
5 + m
Answer:
5+3m
Step-by-step explanation:
please help!! I don't know how to do this!!
please help me y'all this is easy *perimeter of a polygon
look at the attachments to see the questions
any improper answers will be reported
Answer:
The first one is 20, second is 5 3/5, the third one should be 22.8, fourth is 1, fifth is 15.9
Step-by-step explanation: Add all the numbers up (for each shape). For the parallelogram multiply the top and right sides by two.
Given a function described as equation y = 3x + 4, what is y when x is 1, 2, and 3?
Answer:
x=1 y= 7
x=2 y= 10
x=3 y= 13
Step-by-step explanation:
y=3x+4
y=3(1)+4
=7
y=3(2)+4
=-10
y=3(3)+4
=13
When I multiply a - and +, the answer will be a?
Answer:
it will me a negative (-)
Hannah has 4 L of cooking oil's in a bottle she uses 1 1/2 L of the oil how many liters of oil are left in the bottle
⚠️⚠️How do you solve a dilation?⚠️⚠️
I missed the day it was taught and now I’m confused
Here’s a math problem you can use as an example in the image above
also just in case: I know I can ask my teacher for help and they kinda did but I’m still lost
help with number 2 pleasee :(
Answer:
y+4=x
Step-by-step explanation:
desmos. com graphing calculator helps with things like this
at the pediatricians office, patients are able to select a toy from the toy bin. The toy bin has 12 puzzles, 16 boxes of crayons, and 2 bouncy balls. What is the probability of selecting anything but a bouncy ball
Answer:
9%
Step-by-step explanation:
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Question 5
Nikhil, Davina and Sid share a tin of celebrations amongst themselves in the ratio of 8:12:20
respectively
Given that Davina gets 48 sweets, how many sweets did Nikhil get?
sweets
Now solve: Alice wants to wrap a gift box of length 8 inch, height 6 inch,
and width 4 inch. How much wrapping paper does Alice need to buy? (Type
answer only- no units)
Answer:
208 square inches
Step-by-step explanation:
2(8 X 4) + 2(6 X 4) + 2(8 X 6)
64 + 48 + 96 = 208 square inches
Sofia misses 10% of the free throws she attempts in a season. How many total free
throws did she attempt if she missed 9?
Answer:
90
Step-by-step explanation:
0.1x=9
x=90
Answer:
90 free throws
Step-by-step explanation:
She would have attempted 90 free throws because since 9 is 10%, and 10x10 is 100, then you would just multiply 9x10.
n the rectangle P Q R S , the side P Q is of length 2 and the side Q R is of length 4
Please i need the answer ASAP
here u go
In the rectangle PQRS , the side PQ is of length 2CM and the side QR is of length 4CM Points T and U lie inside the rectangle so that Triangle PQT and TRIANGLE RSU are equilateral triangles.PLS MARK ME AS BRAINLIST!!!!!
PLEASE HELP IN MATH URGENT..
Answer:
b
Step-by-step explanation:
please help this is easy if yu have more than 2 brain cells because my 2 brain cells are struggling
Answer:
okay the question
Step-by-step explanation:
Answer:
Hope it help
Step-by-step explanation:
please help asap will mark brainliest
Answer:
The second one...the answer for n is +ive not -ive so it cant be a fraction
What transformation has changed the parent function f(x) = log3x to its new appearance shown in the graph below?
logarithmic graph passing through point negative 1, 3
(6 points)
Question 10 options:
1)
f(x + 4) + 2
2)
f(x − 2) − 2
3)
f(x + 2) + 2
4)
f(x − 4) − 2
Answer:
It is f(x + 4) + 2. I just took the test and that was the answer.
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Answer: f(x+4) + 2
Step-by-step explanation:
PLEASE HELP ME BRAINLY I NEED IT
Answer:
X=7
Step-by-step explanation:
yup
Answer:
Step-by-step explanation:
3(x+1)=10+2x
3x+3=10+2x
3x-2x=10-3
x=7