well we know the line will be equal to 180 degrees so we will have an equation like this
x+100+3x=120
we subtract 100 from 180 to get 80.
180-100=80
however x cannot be 80 bc we still have the 3x.
when you do the math, you will see that 20 times 3 is 60.
20×3=60
going even further we see that 60 plus 20 is 80
60+20=80
so to check our work, lets solve this equation
20+100+3×20=180
20+100=120
3×20=60
120+60=180
so your answer is x=20
Find the distance between the two endpoints.
(-6, 1) and (-3, 1)
Answer:
3
Step-by-step explanation:
distance formula
Solve each system by elimination.
3) -4x+6y=-14
4x – 8y = 16
A) (2, -1)
B) (-1,2)
C) (4,1) D) (2, 1)
Answer:
M=2/3
m=1/2
Step-by-step explanation:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]
Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.
The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.
Janet must paint her outdoor circular tabletop because it has rusted. The diameter of the table
is four feet. How many square feet of paint will she use to take care of the task
Answer:
12.56 ft²Step-by-step explanation:
The area of the tabletop:
A = πr² = πd²/4 = 3.14*4²/4 = 12.56 ft²Answer: my friend up there did it right
Step-by-step explanation:
Find the surface area.
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:
Please help I need to find the area can anyone help me
Answer:
what area do u need, l think it's 5 in 19
help? could someone help me with this?
Answer:
A, C, And F
Step-by-step explanation:
HELP ME PLEASE...................................
What does the abbreviation CD stand for?
The abbreviation CD stands for "Compact Disc."
A compact disc is a small, portable, round disc that is used for storing and playing back digital audio, video, and other types of data. It was introduced in the early 1980s as a replacement for vinyl records and cassette tapes.
A CD is made up of a polycarbonate plastic layer that is coated with a reflective metal layer and protected by a clear plastic layer. Information is stored on the disc in the form of tiny pits and lands that are read by a laser beam in a CD player or computer CD-ROM drive.
CDs have a storage capacity of up to 700 MB, which allows for around 80 minutes of audio or several hours of compressed video. They are commonly used for storing music albums, software programs, and other types of multimedia content.
In addition to audio CDs, there are also CD-ROMs (read-only memory), CD-Rs (recordable), and CD-RWs (rewritable). CD-ROMs are pre-recorded discs that cannot be modified, while CD-Rs and CD-RWs can be burned or written with data by the user. CD-Rs can only be written once, while CD-RWs can be erased and re-written multiple times.
Overall, the abbreviation CD refers to the Compact Disc, a versatile medium for storing and playing back digital data.
For more Questions on Compact Disc
https://brainly.com/question/15720824
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What is the area of the rectangle
Answer:
B) [tex]\frac{15}{4}[/tex]
Step-by-step explanation:
Area of a rectangle formula:
A = bh
Given:
b = [tex]2\frac{1}{2}[/tex]
h = [tex]1\frac{1}{2}[/tex]
Work:
A = bh
A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]
A = [tex]\frac{15}{4}[/tex]
Could I get help as soon as possible?
Answer:
(0, 0)
Step-by-step explanation:
It's 0 minutes since the bath begun, the depth of the water is 0 inches. I know I already answer this, but just in case.
Pls help is it; (1.5, 2) or no solution
Answer:
no solution?
Step-by-step explanation:
Find the value of x.
Answer:
x=67º
Step-by-step explanation:
First since the supplementary angle next to 157º is in the triangle, we can find that. 180-157 = 23. Then we can use triangle angle sum theorem to find x. 180-(23+90) = 67º
this is solid figure has six equal faces 12 edges and 8 vertices
A.rectangular prism
B.cube
C.cone
D.cylinder
Answer:
cube because it has six equal facwes
solve the equation. which out of the four choices is correct
luke has a set of cards numbered 1 to 8, which he arranges in pairs. He notes the sum of the numbers on each pair of cards and calculates the lowest common multiple of the four sums. if luke obtained an LCM of 24, find two different ways in which the cards could have been paired
Answer:
(5,7 6,2 4,8 1,3) and (7,1 5,3 4,8 6,2)
Answer: 5,7 6,2 4,8 1,3 7,1 5,3 4,8 6,2
Step-by-step explanation:
A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%
Answer: #444
Step-by-step explanation:
First find the original selling price of the article.
When sold for #372 the profit was 24%. Assume the original price is x.
372 = x + 24% * x
372 = 1.24x
x = 372 / 1.24
= #300
If he wanted to make a profit of 48% he should have sold for:
= Original price + (original price * 48%)
= 300 + (300 * 48%)
= #444
PLSSS HELP ASAP WILL GIVE BRAINLIEST
Solve by completing the square: 5x² + 20x + 32 = 0
Answer:
5x2 + 20x + 32 = 0 - 16977324
Step-by-step explanation:
ASAP PLEASE
-WILL MARK BRIANIST
Answer:
D
Step-by-step explanation:
A. 9x9 = 81
B. 2x2x2x2x2 = 32
C. 10x10 = 100
D. 5x5x5x5 = 625
Answer:
5⁴ has the greatest value
Step-by-step explanation:
9² = 9 x 9 = 81
2⁵ = 2 x 2 x 2 x 2 x 2 = 32
10² = 10 x 10 = 100
5⁴ = 5 x 5 x 5 x 5 = 624
Therefore, 5⁴ has the greatest value!
Hope this helps!
What is an expression that simplifies to x to the 24 power
Answer:
x⁹ * x⁸ * x⁷
Step-by-step explanation:
when numers with the same base are multiplied the exponents are added
x⁹ * x⁸ * x⁷
Jackson is saving money to attend space camp. Space camp costs $948. So far, Jackson has saved $593. He agrees to do these tasks and will save the money he earns from them. He will walk the neighbor's dog every day for a month to earn $42. He will mow the yard for his dad every week for the summer to earn $44. He will pull weeds in the garden for his mom twice a week for the summer to earn $50. After these tasks, how much more money will Jackson still need to save to go to space camp?
Answer:
219
Step-by-step explanation:
he will still need 219 dollars to get to 948
What is the radius of a circle that has an area of 89 square feet?
Answer:
5.32255ft
Step-by-step explanation:
A
π=89
π
Answer:
5.3
Step-by-step explanation:
The equation is A=πr²
The area is 89 so 89=πr²
89/π=r²
√89/π =r
r=5.322554
Identify the slope and y-intercept of the following line: 2y + 4 =-6x
Answer:
y = -3x - 2, the slope is -3 and the y-intercept is -2
Step-by-step explanation:
2y +4 = -6x and minus the four to get 2y alone
Then divide -4 and -6x by 2 to get y = -3x and -2
YA'LL PLEASE HELP I REALLYYY NEED HELP!!!!! (all links for answers will be deleted)
Identify the algebraic description that maps a point (3, 7) onto another point (–5, 7).
Question options:
A)
(x, y) → (x, y – 8)
B)
(x, y) → (x, y + 8)
C)
(x, y) → (x – 8, y)
D)
(x, y) → (x + 8, y)
Answer:
C)
(x, y) → (x – 8, y)
If 40% of x + 20% of x + 1/10 = 75% of x, then find the value of x. Please give answers with steps
Answer:
x = 13/12
Step-by-step explanation:
explain on image
X désigne un nombre quelconque. Exprimer à l'aide d'une expression littérale : a. La somme de x et de 12 b. Le produit de x par 5 c. La différence entre 17 et x d. Le quotient de x par 9
Answer:
L'expression littérale est la suivante
a) La somme de x et 12 b
Solution
X + 12b
b) Le produit de x par 5
Solution
X * 5
c) La différence entre 17 et x
Solution
17-X
d) Le quotient de x par 9
X / 9
Step-by-step explanation:
L'expression littérale est la suivante
a) La somme de x et 12 b
Solution
X + 12b
b) Le produit de x par 5
Solution
X * 5
c) La différence entre 17 et x
Solution
17-X
d) Le quotient de x par 9
X / 9
whats the length of the third side? round to the nearest tenth if u need to
Martin is interested in the effects of different kinds of instruction on videogame performance. Martin asks 30 college freshmen to each play 1 hour of Ratchet and Klank. Participants are randomly assigned to one of three instruction groups: (1) complete the tasks as quickly as possible, (2) conserve as much health as possible (i.e., play more carefully), or (3) find gold bolts (worth lots of money in equipment and ammunition). Obviously, even in a single instruction group, not all players will obtain the same final score. These differences in an instruction group reflect:
Answer:
Between - groups variance
Step-by-step explanation:
From the question we see that the college freshmen are assigned to one of the three given groups. This means that they are exposed to different experimental conditions and thus it means that the variation differs as a result of different experimental conditions between the groups.
Thus, these differences reflect between - group variance.
#3 Find the r and the surface area
Answer:
r will be half of your diameter so 11 divided by 2 = 5.5 is your new radius.
To find surface area we use the basic formula:
4πr^2
4 x 3.14 x 30.25(radius squared, 5.5 x 5.5 = 30.25) = 379.94 ft^2 is your surface area
Please answer the following question: