Answer:
40.5°
Step-by-step explanation:
So this problem is a ratio setup. First, you have to calculate the total circumference of the circle using the following formula:
c = 2πr
Where c is the circumference, and r is the radius of the circle. Therefore:
c = 2π(40)
Simplify:
c = 80π
Now if the arc is 9π miles long, then it's a fraction of the whole circle, which is 360° . We can set this up as follows:
[tex]\frac{9\pi }{80\pi }[/tex] = [tex]\frac{x}{360}[/tex]
Now if we cross-multiply to solve for x:
(9)(π)(360) = (80)(π)(x)
When simplified dividing by 10π :
9*36 = 8x
Simplfy.
324 = 8x
Solve for x.
x = 40.5
A television is on sale for 20% off. If the sale price is $399, what was the original price?
A. $319.20
B.$1,995
C. $498.75
D. $379.00
Answer:
[tex]\$498.75[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the original price of the item. We can set up the following equation:
[tex]x\cdot (1-0.2)=399[/tex].
Solving for [tex]x[/tex], we get:
[tex]x\cdot 0.8=399,\\x=\frac{399}{0.8},\\x=\fbox{$\$498.75$}[/tex].
29) Which equation describes this graph?
graph that contains the points (-2,0) and (8,-10)
A. y=−2x−2
B. y=2+x
C. y=−x
D. y=−2−x
what is the equation
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y_1 = y - coordinate \: \: point \\ x_1 = x - coordinate \: \: point[/tex]
From the given equation.[tex]y + 8 = 4(x - 5)[/tex]
[tex]y - ( - 8) = 4(x - ( + 5))[/tex]
Answer[tex] \large \boxed{( - 8,5)}[/tex]
Which point is the reflection of point E across the y-axis ? What’s are it’s coordinates?
Answer:
The reflection of point E across the y-axis is J(-2, 0).
Step-by-step explanation:
PLATO
The distance in feet that Karina swims in a race is represented by 5d -5, where d is the distance for eac
What is an expression equivalent to 5d -5?
Choose the correct answer below.
A. 5d - 5 = 5(-5)
B. 5d -5 = -5 + 5d
C. 5d - 5 = 5-5d
D. 5d - 5 = -5(d+5)
Answer:
C. 5d - 5 = 5-5d
Step-by-step explanation:
HURRY PLEASE....... Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios. Which table shows the same data?
Answer:b
Step-by-step explanation:
two beads for every 3
Choose the expression equivalent to 3(x + 10)?
Answer:
3x+30
Step-by-step explanation:
PLZ HELP ASAP! WILL GIVE 30 POINTS AND BRAINLIEST! which sequence of transformations will generate the same image as translating a figure 8 units to the left?
a) a reflection over the line x= -1 followed by a reflection over the line x= -9.
b) a reflection over the line x= -3 followed by a reflection over the line x= -5.
c) a reflection over the line x= -7 followed by a reflection over the line x= -3.
d) a reflection over the line x= -9 followed by a reflection over the line x= -13.
i don't really understand, please help!!
Step-by-step explanation:
the proof is given above
Step-by-step explanation:
In Triangle ICU,
Angle 2 = 180° - Angle 1 (Angles on a straight line)
CR = CU - RU
In Triangle ISR,
Angle 3 = 180° - Angle 4(Angles on a straight line)
SU = RS - RU
Angle 1 = Angle 4
Therefore, Angle 2 is equal to Angle 3
CU = RS
Therefore, CR is equal to SU
Triangle ICR and Triangle ISU
IC = IS
Angle 2 = Angle 3
CR = SU
Therefore, Triangle ICR and Triangle ISU are congruent (SAS congruency).
As the two triangles are congruent, Angle CIR = Angle SIU
When a=-12 and b=6, which expression:
has the largest value?
has the smallest value?
is the closest to zero?
When a=12 and b=-6, which expression:
has the largest value?
has the smallest value?
is the closest to zero?
When a=-6 and b=-12, which expression:
has the largest value?
has the smallest value?
is the closest to zero?
Answer:
⬇
Step-by-step explanation:
2 :
B has the largest value
A has the smallest
A is closer to 0
3:
Largest value is A
Smallest is B
A is closer
4:
B has the largest value
A is smallest
B is closer to 0
I really hope this helps!
Help due in 30 min!!!!!!!!!!!!!!!
Answer:
b. - 1/4
Step-by-step explanation:
Start at the point highest on the line(3,4). Subtract the x value of the second point, from the x value of the first point.(3-7) Then do the same with the y values.(4-3) This gives you x=-4and y= 1. Slope= y/x, so you get -1/4
The school show choir is holding a car wash to raise $350 for
new costumes. After spending $30 on supplies, the students will
wash cars for donations of $6 each.
This situation can be modelled by the inequality 6C + 30 > 350,
which has the solution c> 53.33. What is the best way to
interpret this solution?
A. Show choir needs $53.33 to meet their goal.
B. Show choir should have spent another $53.33 on supplies.
C. At least 54 show choir students must participate in the car
wash.
D. Show choir needs to wash at least 54 cars.
Answer:
D.
Step-by-step explanation:
It’s the only option that makes sense. Option A. Is invalid because they need to make $350. Option B. Is just purely invalid and has no context to support the theory. C. Is possible, but we can have students wash more than one car, so we don’t need fifty four kids.
D. Is your answer.
Hope this helped!!
LunarRose3
Working as a waiter, Michael earns $7 an
hour plus tips. Last night he received $35 in tips and earned a total of $84. How
many hours did he work?
Answer:
7Hrs because 84-35=49
49/7=7
simple math! i'll mark you if you get it right
Answer:
5
Step-by-step explanation:
Brainly plsss
Help Fast Please!!!!!!!!
Answer:
answer is -8.4 if you add 3.6 and two it's 5.6 times 1.5 it will be -8.4
Answer:
2.4
Step-by-step explanation:
It should be 2.4 based on what I see here. Distribute -1.5 into -3.6 + 2 to get 5.4 - 3. You should get 2.4 as your answer in which it is the second option, the picture needs to be in standing position next time because it is upside down though but it can be flipped either way.
guys I have a band test and pleaseeeee help me out
The natural minor scale -
A follows the key signature of the relative Major.
B Follows the key signature of the relative Major and adds the leading tone.
C follows the key signature of the relative Major, and raises the 6th and 7th ascending, and flats the 6th and 7th descending.
D has the same root as the relative Major.
Answer:
i think its c
Step-by-step explanation:
Calculate the value of the expression 18/-3
Select one:
A. 6
B. -6
C. -4
D. 0.167
E. -0.167
Answer:
-6
Step-by-step explanation:
Any number that is divided by a negative number is a negative number as an answer which is -6.
Which one is a better deal? Deal 1: $7.65 for 9 iTunes songs Deal 2: $6.93 for 7 iTunes songs
Answer:
yeah I would say deal #1 is better
What is the slope of the line whose equation is
2y = 5x + 4?
1) 5 2) 2 3) 5/2 4) 2/5
Answer:
3) 5/2
Step-by-step explanation:
2y = 5x + 4
y = 5/2x + 2
slope = 5/2
(y = mx + b, m being slope, b being y intercept)
What is the equation of a parallel line to y = -5x + 2 that passes through the point (-1, 4)?
Answer:
The equation of the Parallel line passes through the point (-1,4) is
y = -5 x -1
Step-by-step explanation:
Explanation:-
Given the equation of the line y = -5 x + 2
Given point (-1 , 4 )
The equation of the parallel line of a given line is 5x + y +k=0 ...(i)
The equation (i) passes through the point (-1,4)
5(-1)+4+k=0
-5 +4 +k =0
-1 + k = 0
k = 1
The equation of the Parallel line passes through the point (-1,4) is
y = -5 x -1
Please help me if u know
Answers
x= -3/2
x= 3i
x= -3i
Step-by-step explanation:
f (x) = 2x3 + 3x2 + 18x + 27
Set 2x^3 + 3x^2 + 18x + 27 equal to 0.
2x^3 + 3x^2 + 18x + 27 = 0
Solve for x.
Factor the left side of the equation.
Factor out the greatest common factor from each group.
x^2 (2x + 3) + 9 (2x + 3) = 0
Factor the polynomial by factoring out the greatest common factor, 2x + 3. (2x + 3) (x^2 + 9) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x + 3 = 0
x^2 + 9 = 0
Set 2x + 3 equal to 0 and solve for x.
Set 2x + 3 equal to 0. 2x + 3 = 0
Solve 2x + 3 = 0 for x. Tap for more steps...
3 x = − 2
Set x2 + 9 equal to 0 and solve for x.
Set x2 + 9 equal to 0. x2 + 9 = 0
Solve x2 + 9 = 0 for x.
x = 3i, −3i
The final solution is all the values that make (2x + 3) (x2 + 9) = 0 true.
x = − 3/2 , 3i, −3i
Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?
Answer:
58.50
Step-by-step explanation:
Compare 0.55 ____ 0.525 using , or =
Answer:
0.55 > 0.525
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.55=0.550
0.550>0.525
so 0.55>0.525
the target temperature for a laboratory is 71° f. it can vary by up to 3°. if t is the temperature in the laboratory, which of the following inequalities represents this situation?
Answer:
|t-71| < 3
Step-by-step explanation:
The inequalities represents this situation is | t - 71 | < 3 .
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size
According to the question
The target temperature for a laboratory = 71° f.
it can vary by up to 3°. (highest limit)
the temperature in the laboratory represented by t
Now,
inequalities represents this situation is
| t - 71 | < 3
Hence, the inequalities represents this situation is | t - 71 | < 3
To know more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
A number increased by 9 is -4. What is
the number? Write an equation and solve.
Pls help extra points and mark brainlist easy reading
Answer: Its they second or last one but the second one sound more clear
Step-by-step explanation:
A 300 room hotel can rent every one of its rooms at $80 per room. For every $1 increase in rent, 3 fewer rooms are rented.
How much should the hotel charge for each room to maximize its daily revenue? What is the maximum daily revenue?
Answer:
The hotel charge for each room to maximize its daily revenue and the maximum daily revenue is explained below in details.
Step-by-step explanation:
So for every $1 hike in price, the number of rooms goes underneath by 1.
So the earnings can be displayed by R(x) = (300-x)(80+x)
From that, you require to subtract 22(300-x) since it takes $22 per occupied room.
AND there is a framed cost of $1000 per day.
So your profit function is P(x) = (300-x)(80+x) - 22(300-x) - 1000
Simplified, this is P(x) = -x2 +242x + 16400.
P'(x) = -2x + 242 Set it = to 0
x = 121 which displayed the number of unoccupied rooms.
P(121) = -14641 + 29282 + 16400 = $31041
You can verify by computing P(120) and P(122) which both even $31040.
Hope this helps.
ABC is similar to XYZ. Find the unknown measures.
Answer:
c=64.2
Step-by-step explanation:
Write 45% as a decimal.
Answer:
0.45
Step-by-step explanation:
Because you have to write 45% has money so 45.00 divide by 100 = 0.45 hope this is right and helpful. Can you mark me brainliest
Explain what method is used to solve problems involving scale drawings.
A. Use a proportion
B. Make an educated guess
C. Get a ruler or tape measure and measure the distance
D. Make a drawing on paper