Answer:
ASA
Step-by-step explanation:
The longest side is the same (denoted by the small line).
Assuming the red dot and the x mean the angles are the same, the triangles share two common angles.
As such, the triangles share one common side and two common angles. Hence ASA
3. During geometry class, Mr. Jones constructed the perpendicular bisector of segment AB as
shown below.
If AC = 4x + 12 and BC = 2x + 18, find AB.
A. 3
B. 6
C. 24
D. 48
Answer:
D
Step-by-step explanation:
Amy said 4/9 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
A 0.49
B. O 0.444
c. O 0.49
D. 0.444
Answer:
.....Your answer is D
...
.
24% written as a fraction in simplest form
The answer is 6/25 or 6 over 25
Answer:
6/25
Step-by-step explanation:
According to Math.way 24% converted to the simplest fraction form you would get 6/25.
Hope this helps :)
Which of the following best describes the equation below?
y = 3/5x+15
A. linear
B. both linear and nonlinear
C. neither linear nor nonlinear
D. nonlinear
Nonlinear
hope this helps..lemme know if im wrong <3
PLEASE HELP! WILL MARK BRAINLIEST!
The path of a seat on a new Ferris wheel is modeled by x = –25sin(StartFraction pi Over 30 EndFraction t) and y = –25cos(StartFraction pi Over 30 EndFraction t) + 30, where distances are measured in feet. What is the maximum height a rider will experience?
50 feet
55 feet
60 feet
80 feet
Answer:
The maximum height a rider will experience is 55 feet.
Step-by-step explanation:
Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.
[tex]X(t)=(x,y)[/tex]
In which [tex]X(t)[/tex] are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.
[tex]''x''[/tex] and [tex]''y''[/tex] are functions that depend from the variable ''t''.
For this exercise :
[tex]X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30][/tex]
In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function [tex]X(t)[/tex].
The function to study is [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]
To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.
⇒ [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex] ⇒
[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex]
Now we equalize [tex]y'(t)[/tex] to 0 ⇒
[tex]y'(t)=0[/tex] ⇒ [tex]\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0[/tex]
In this case it is easier to look for the values of ''t'' that verify :
[tex]sin(\frac{\pi}{30}t)=0[/tex]
Now we need to find the values of ''t''. We know that :
[tex]sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0[/tex]
Therefore we can write the following equivalent equations :
[tex]\frac{\pi}{30}t=0[/tex] (I)
[tex]\frac{\pi}{30}t=\pi[/tex] (II)
[tex]\frac{\pi}{30}t=-\pi[/tex] (III)
From (I) we obtain [tex]t_{1}=0[/tex]
From (II) we obtain [tex]t_{2}=30[/tex]
And finally from (III) we obtain [tex]t_{3}=-30[/tex]
We found the three critical points of [tex]y(t)[/tex]. To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of [tex]y(t)[/tex] :
[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex] ⇒
[tex]y''(t)=\frac{\pi ^{2}}{36}cos(\frac{\pi }{30}t)[/tex]
Now given that we have an arbitrary critical point ''[tex]t_{n}[/tex]'' ⇒
If [tex]y''(t_{n})>0[/tex] then we will have a minimun at [tex]t_{n}[/tex]
If [tex]y''(t_{n})<0[/tex] then we will have a maximum at [tex]t_{n}[/tex]
Using the second derivative test with [tex]t_{1},t_{2}[/tex] and [tex]t_{3}[/tex] ⇒
[tex]y''(t_{1})=y''(0)=\frac{\pi ^{2}}{36} >0[/tex] ⇒ We have a minimum for [tex]t_{1}=0[/tex]
[tex]y''(t_{2})=y''(30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{2}=30[/tex]
[tex]y''(t_{3})=y''(-30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{3}=-30[/tex]
The last step for this exercise will be to find the values of the maximums.
We can do this by replacing in the equation of [tex]y(t)[/tex] the critical points [tex]t_{2}[/tex] and [tex]t_{3}[/tex] ⇒
[tex]y(t_{2})=y(30)=55[/tex]
[tex]y(t_{3})=y(-30)=55[/tex]
We found out that the maximum height a rider will experience is 55 feet.
Answer:
B
Step-by-step explanation:
Find the x and y intercept of 8x+10y=15. NO LINK TO ANSWER PLEASE TYPE
Answer:
x intercept: 15/8 and yintercerpt is 3/2
Step-by-step explanation:
to find y intercept you have to put equation in standard form.
10y=-8x+15
y=--4/5x+3/2
x intercept is when y=0, so we plug in 0
0=-4/5x+3/2
4/5x=3/2
x=15/8
A sequence starts 5 10 20 40 80
What is the term to term rule of the sequence?
Answer:
Finding the 6th term is really easy, we can simply double two more times to get 5, 10, 20, 40, 80, 160.
Step-by-step explanation:
3 − –403,593 positive or negative?
Help please with this math ;-; I beg of you
Answer:
49 - 9π
Step-by-step explanation:
Area of white portion = area of triangle - area of circle
To find the area of the triangle:
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
The height given is 7m and the base length given is 14m
That being said we plug in the given values into the formula
[tex]\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49[/tex]
Hence, the area of the triangle is 49 sq meters.
To find the area of circle
( note that the area is in terms of pi; shown by the answer choices. )
Formula for area of a circle = [tex]A=\pi r^2[/tex]
We are given the diameter ( 6m )
However, we need the radius
To convert diameter to radius we divide by 2
6/2 = 3 so the radius = 3m
Now we plug in 3 into the formula
[tex]A=\pi 3^2\\3^2=9\\A=9\pi[/tex]
Remember we do not apply pi because the answer should be in terms of pi.
Now we subtract the two
Area of white portion = 49 - 9π
Hence, the answer is A
Answer:
49 - 9π
Step-by-step explanation:
Hope this helps
If the following data were transformed, and points with the coordinates
(x, log())) were plotted, what points would be plotted? Round log() to three
decimal places.
х
у
4.
81
5 243
6 729
O A. (81, 1.908), (243, 2.386), (729, 2.863)
O B. (4,1.908), (5,2.386)(6,2.863)
O c. (1.908, 4), (2.386,5), (2.863, 6)
O D. (1.908, 81), (2.386, 243), (2.863, 729)
Answer: B
Step-by-step explanation:
Please help me I don’t understand this
Answer:
51
Step-by-step explanation:
I’m having trouble on this problem, anyone know the answer?
Answer:
the answer is 35 cm
Step-by-step explanation:
to make sure that you dont have a problem next time here is a formula
area of any polygon is the sum of all sides so 9 + 9 + 12 + 5 = 35
5. In the regular decagon shown, what is the measure of angle 1? *
1 point
One Exterior Angle of a REGULAR Polygon
OneEx 4 = 360
(
18 degrees
O
36 degrees
72 degrees
0
180 degrees
The image of the hexagon is missing, so i have attached it.
Answer:
∠1 = 36°
Step-by-step explanation:
From the image attached, we can see that the polygon is regular and has 10 sides.
Formula for an interior angle of a regular polygon is;
θ = 180(n - 2)/n
Where n is the number of sides of the polygon.
Thus;
θ = 180(10 - 2)/10
θ = 144°
Now, ∠1 forms a straight line with one of the interior angles of the polygon.
Thus, θ + ∠1 will be equal to 180° because sum of angle on a straight line is 180°
Thus;
144° + ∠1 = 180°
∠1 = 180° - 144°
∠1 = 36°
Find the value of x in the triangle
Answer:
55+x+74+54=180
183+x=180
x=180-183
x=-3
Step-by-step explanation:
Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?
Answer:
88
Step-by-step explanation:
43 + 49= 92.
Then 180 - 92= 88
C= 88
help please!!!!!! this is due soon
Answer:
lateral surface area of cone =πrl
132=22/7×r×11132×7=242rr=924/242r=3.81instay safe healthy and happy.Find the volume of the prism below.
3 ft
8 ft
6 ft
Answer:
3: 27
8; 512
6; 216
Step-by-step explanation:
BRAINIEST TO WHOEVER RIGHT
Amelia went to the grocery store
with $50.00. She spent $4.75 on a
package of hamburger meat,
$2.79 on a package of buns and
$3.99 on a pack of cheese. How
much money did she leave the
store with?
Answer:
38.47 Hope this helps. Thats how much she has left.
Steven has 17 baseball caps. He has 2 blue caps and he has 3 more green caps than blue ones. The rest of his caps are black.
How many black caps does Steven have?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Which of the following expressions is equivalent to x · 65? *
A. (x · 60) + (x · 5)
B. (x · 6) + (x · 5)
C. x + (6 · 5)
D. (x · 6) + 5
Answer:
A. (x · 60) + (x · 5)
Step-by-step explanation:
Answer:
A. (x · 60) + (x ·5)
Step-by-step explanation:
Equation A is simplified to 65x, which is equivalent to x ·65.
Equation B is simplified to 11x.
Equation C is simplified to x + 30.
Equation D is simplified to 6x+5.
pleas help due to night
Answer:
w = 28.4 yds
Step-by-step explanation:
P = 12.7 + 4 + 2w
73.5 = 16.7 + 2w
56.8 = 2w
w = 56.8/2
w = 28.4
Answer:
w = 28.4 yards. Sorry need the points.
A photo booth in the shape of a rectangular prism has edge lengths of 3 ft by 4 ft by 7 ft. What is the volume of the space inside the photo booth?
Answer:
V=84ft³
Step-by-step explanation:
Answer:
Heyaa!! My name is Pinky and im here to inform you that your answer is...
Step-by-step explanation:
!!! V=84ft³ !!!
My clarification or my work is:
V=w h l= 4· 7· 3 =84ft³
w= Width
L= Length
H= Height
Have an amazing dayy!!
~Pinky~
what's the best movie ever?
Answer: Most views mayber black panther
Step-by-step explanation:
Solve the inequality for u.
-10 ≤ - 5u
Simplify your answer as much as possible.
Answer:
u ≤ 2
Step-by-step explanation:
Given
- 10 ≤ - 5u
Divide both sides by - 5 , reversing the symbol as a result of dividing by a negative quantity.
2 ≥ u , then
u ≤ 2
in a race, 19 out of 50 runners finished in fewer than 30 minutes. what percent of the runners finished in fewer than 30 minutes? Write and equivalent fraction to find the percent.
Answer:
8 Percent is: 32%
----
25
Step-by-step explanation:
Find the area of the kite below.
Answer:
160 unit^2.
Step-by-step explanation:
Area = xy/2 where x and y are the length of the diagonals, so here:
Area = (16*20)/2
= 320/2
= 160.
10 Students were surveyed.
How many hours do you study a week?
8 2 2 6 14 10 3 5 4
Determine the following:
A) Mean
B) Mode
C) Median
Show work please
Will mark brainlisted
Answer:mode
Step-by-step explanation:5+4+9+9+3+75+1=mode
Please help me with my work
Answer:
If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
Step-by-step explanation:
Answer:
Down below is the answer.
Step-by-step explanation:
So, lets remember that the pythagreon theorm is only useable in right traingles.
The formula for the pythagreons theorm is A^2+B^2=C^2
So basically, if this is not a right triangle, the two sides(4ft^2 and 3ft^2) will be equivelent to 5ft^2.
Lets solve the pythagroens theorm and plug in our values:
4^2+3^2=5^2
Now lets use the square roots:
16+9=25
COmbine the two numbers:
25=25
This is correct!
So yes, this is a right triangle.
HOpe this helps! :)
Refer to the isosceles trapezoid shown. Find z
Answer:
look at the picture i sent......