Diameter = 120m
Circumference = (120 · π) m
(40 min) / (30 min/rotation) = 4/3 rotation
Passenger travel = (4/3) · (120π) = 160π meters = 502.7 meters
-4 ( x -2 ) = -2 ( x -17/2 ) how many solutions does it have? No need to solve, just how many solutions does it have
Answer:
One Solution
x = -9/2
Step-by-step explanation:
Given the complementary angle of y is 43º. Find the supplementary angle of y
Step-by-step explanation:
complementary = adds up to 90 degrees.
supplementary = adds up to 180 degrees.
the complementary angle of y is 43 degrees.
so, y = 90 - 43 = 47 degrees.
the supplementary angle of y = 47 is
180 - 47 = 133 degrees
Hello!
Given the complementary angle of y is 43º.
90 - 43 => 47°
Find the supplementary angle of y
180-43 => 137°
Combine the like terms to create an equivalent expression:
-n+(-4)-(-4n)+6}
I need #7 done (show work) will give brainliest
Answer:
see explanation
Step-by-step explanation:
(7)
∠ RPS + ∠ QPR = ∠ QPS , substitute values
8x + 7 + 9x + 16 = 40 , that is
17x + 23 = 40 ( subtract 23 from both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Factorise:
a) 22y -33z b) ax + bx –ay – by
What number does this Roman numeral represent?
XXXII
Answer: 32
Step-by-step explanation:
The roman numeral XXXII is 32 and XXIII is 23.
The number for this Roman numeral XXXII is, 32
Given that,
We have to write the number for this Roman numeral XXXII.
Since, We know that,
X represent in number = 10
I represent in number = 1
Hence, The number for this Roman numeral XXXII is,
⇒ XXXII
⇒ (10 + 10 + 10 + 1 + 1)
⇒ 32
Therefore, the number for this Roman numeral XXXII is, 32
Learn more about Number system visit:
https://brainly.com/question/17200227
#SPJ6
A watt is the basic unit measurement of electrical power. Suppose you are running the air conditioner, the washing machine, the clothing dryer, two computers, four light bulbs, the refrigerator, and two televisions Use the chart at the right and calculate how much wattage you might need in this situation. Show your k = write an inequality that shows what the available wattage must be greater than
Considerations based on the wattage of the available appliances are required when designing for the electricity.
The required wattage inequality is; Available wattage > 10,460 WattsReasons:
The items used and the possible power consumption obtained from a similar are as follows;
Appliance [tex]{}[/tex] Average power (Watts)
One air conditioner; [tex]{}[/tex] 3,500
Washing machine; [tex]{}[/tex] 500
Clothing dryer; [tex]{}[/tex] 5,000
Computers × 2; [tex]{}[/tex] 70 × 2 = 140
Light bulbs × 4; [tex]{}[/tex] 60 × 4 = 240
Refrigerator; [tex]{}[/tex] 600
Television × 2; [tex]{}[/tex] 240 × 2 = 480
The power, P, in watts that might be needed is found as follows;
Power, P = 3,500 + 500 + 5,000 + 140 + 240 + 600 + 480 = 10,460
The electric power in watts that might be needed, P = 10,460 Watts
Therefore;
The available wattage must be greater than 10,460 Watts
The inequality is; Available wattage > 10,460 Watts
Learn more about electricity design here:
https://brainly.com/question/24786034
Ada is making fresh orange juice for her family. She discovers that for every 3 oranges she squeezes, she gets 5 ounces of juice. Select all the ratios that have the same constant of proportionality as Ada's observation.
The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18
According to the question:
We are required to select all the ratios that have the same constant of proportionality as Ada's observation.let y and x represent amount of juice and oranges respectively;
y = juices squeezed outx = Oranges squeezed iny = k × x5 = k × 35 = 3kk = 5/3
The ratios equivalent to the constant of proportionality is 15/9, 30/18
Read more:
https://brainly.com/question/18611326
Answer:
Step-by-step explanation:
9:15 15:25 6:10
Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?
Answer:
100
Step-by-step explanation:
Algebraic Proof
Match the justification to each step of the deductive reasoning about this picture. Please Help!
The following are deductive reasoning for each statement in the algebraic proof given:
1. CD + DE = CE (Segment Addition Postulate)
2. 8 + (3x + 7) = 6x (Substitution)
3. 3x + 15 = 6x (Combining like terms)
4. 15 = 3x (Subtraction Property of Equality)
5. x = 5 (Division Property of Equality)
6. CE = 6(5) (Substitution)
Recall:
The Segment Addition Postulate states that when a point lies between two endpoints on a line segment, the length of the larger segment equals the sum of the lengths of the two smaller segments formed.Thus, the following are deductive reasoning for each statement in the algebraic proof given:
1. CD + DE = CE (Segment Addition Postulate)
2. 8 + (3x + 7) = 6x (Substitution)
Rationale: Plug in the values of CD, DE and CE3. 3x + 15 = 6x (Combining like terms)
Rationale: Add 8 and 7 together4. 15 = 3x (Subtraction Property of Equality)
Rationale: Subtract 3x from each side of the equation.5. x = 5 (Division Property of Equality)
Rationale: Divide each side of the equation by 3).6. CE = 6(5) (Substitution)
Rationale: Plugging in the value of x into "6x"Learn more about Segment Addition Postulate on:
https://brainly.com/question/2134445
Troy studies porcupines and wants to estimate the population in a certain region. Troy catches 36 porcupines, marks them, and releases them. Then later, Troy catches 450 porcupines and observes that 18 of them are marked. To the nearest whole number, what is the best estimate for the porcupine population?
A Group of scientists caught and tagged porcupines=140 A week later the scientists counted the porcupines=180
Please I really do need ur help. 4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.
What is the number?
Enter your answer as a mixed number in the simplest form in the box.
Answer: X = 2 2/3
Step-by-step explanation:
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.
Let X be the "number." Translate the sentence:
(4 5/9) = ((2 1/3) + (5/6))*X
"4 5/9 is the same": (4 5/9) =
"as the sum of 2 1/3 and 5/6": ((2 1/3) + (5/6))
"times a number": *X
Put them all together:
(4 5/9) = ((2 1/3) + (5/6))*X
(41/9)-(7/3) = (5/6)X
(41/9)-(21/9) = (5/6)X
(20/9) = (5/6)X
X = (20/9)*(6/5)
X = 120/45
X = 2 30/45 or 2 2/3
help me with this problem thank youuup.
Step-by-step explanation:
it is a linear function, if the change in y is constant in relation to the changes of x.
in other words, if the slope y change/x change is the same for every point.
when we look at the table, we see x changes constantly by +2.
and y changes constantly by -6.
so, the change rate/slope is constantly -6/2 = -3.
and therefore it is a linear function.
the equation looks like (the slope is always the factor of x)
y = -3x + b
b we get by using one of the x,y pairs like 1,4
4 = -3×1 + b = -3 + b
b = 7
so, the full equation is
y = -3x + 7
Step-by-step explanation:
Given the table of values, {(-3, 16), (-1, 10), (1, 4), (3, -2), (5, -8)}:
We must determine whether the given relation or data can be modeled by a linear equation. It is necessary to analyze the pattern that exists between changes in y-values, along with the changes in x-values.
X-coordinates:Subtracting the x-coordinates provides a constant difference of 2:
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two x-coordinates: -1 - (-3) = -1 + 3 = 2.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two x-coordinates: 1 - (-1) = 1 + 1 = 2.If you perform these same steps throught the remaining rows, then you'll get the same difference of 2.
Y-coordinates:We can perform the same steps for the y-coordinates. Subtracting the y-coordinates provides a constant difference of -6.
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two y-coordinates: 10 - 16 = -6.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two y-coordinates: 4 - 10 = -6.If you perform these same steps throught the remaining rows, then you'll get the same difference of -6.
SlopeSince the constant change in y = -6, and the constant change in x = 2, then we can calculate for the slope as: Δy/Δx = -6/2 = - 3. Hence, the constant rate of change = -3.
As demonstrated throughout this post, we can infer that there is a linear pattern that exists between the x- and y-values.
Therefore, the data can be modeled by a linear equation because the rate of change is constant.
Linear Equation:In order to establish the linear equation that represents y as a function of x, we can use the slope, m = -3, and one of the given ordered pairs, (1, 4), to solve for the value of the y-intercept, b. Substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
4 = (-3)1 + b
4 = -3 + b
Add 3 to both sides to isolate b:
4 + 3 = -3 + 3 + b
7 = b
Therefore, the linear equation that represents the given data is: y = -3x + 7.
What is the mean absolute deviation of the data set? {12, 4, 30, 16, 18} 2. 8 5 2006. 4 16.
Answer:
12 3 30 16 18 2 8 6 2006 4 16 12 4 12 13
SOMEONE HELP ME PLEASE
Answer:
[tex]x=\frac{27}4=6.75[/tex]
Step-by-step explanation:
The triangles PQR and SQT have corresponding angles congruent. In particular the pair P,S, R,T are congruent since corresponding angles relative to the two parallel lines in the hypotesis, and Q is obviously in common. The two triangles are similar since their angles are congruent. We can then write the follwing proportion.
[tex]\overline{RQ}:\overline {TQ}= \overline{PQ}:\overline{SQ}[/tex] Replacing the values and cross-multiplying we get:
[tex](4x-3+3):3=(40+5):5 \rightarrow 4x:3 = 45:5 \\4x=27 \rightarrow x=\frac{27}4=6.75[/tex]
Answer:
6.75
Step-by-step explanation:
the answer is 6.75
so x = 6.75
deffenition of polynomial function
Answer:
A polynomial function is a function such as a quadratic, a cubic,a quadratic, and so on, but to sum it up for you the answer is involving only non negative integer power of x.
If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.
Answer:
Answer:first angle = 25 degrees
Second angle = 35 degrees
Third side = 120/degrees
Step-by-step explanation:
parallel perpendicular or neither
ne ajudemmmm pfvvv ...
Answer:
NEED TRANSLATOR
Step-by-step explanation:
ENGLISH PLEASE
I NEED HELP WITH MATH QUESTION PLEASE HELP ME NO LINKS !!!
Answer:
21.8
Step-by-step explanation:
1.9 + 9 = 10.9
10.9 x 2 = 21.8
Answer:
21.8
Step-by-step explanation:
2×1.9=3.8
2×9=18
total=21.8
A cylinder has a volume of 33,912 units3 and a
height of 12 units. What is the diameter of the
cylinder?
I’ll do 50 points please answer right away !!!!!!!
Answer:
60
Step-by-step explanation:
I hope this helps
The diameter of the cylinder is equal to 59.98 units.
Given the following data:
Volume of cylinder = 33,912 [tex]unit^3[/tex]Height of cylinder = 12 units.To determine the diameter of the cylinder:
First of all, we would find the radius of the circular base of this cylinder.
Mathematically, the volume of a cylinder is given by the formula:
[tex]Volume = \pi r^2h[/tex]
Making r the subject of formula, we have:
[tex]r=\sqrt{\frac{V}{\pi h} }[/tex]
Substituting the given parameters into the formula, we have;
[tex]r=\sqrt{\frac{33912}{3.142 \times 12} }\\\\r=\sqrt{899.43}[/tex]
Radius, r = 29.99 units.
For the diameter:
[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times29.99[/tex]
Diameter = 59.98 units.
Read more: https://brainly.com/question/1908836
Simplify the following expression. (0.5x – 3)(0.5x + 3)
Answer:
0.25x^2-9
Step-by-step explanation:
Difference of squares converse:
0.25x^2-9
Answer:
0.25x^2-9
Step-by-step explanation:
multiply 0.5x with 0.5x which is 0.25x^2. then multiply 0.5x with 3 which is 1.5x. then multiply -3 with 0.5x which is -1.5x. then multiply -3 with 3 which is 9. so you will have 0.25x^2+1.5x-1.5x-9.
1.5x and -1.5x is 0. so you are left with 0.25x^2-9
Pls help ::::………..
——-////
Answer:
you will have $133920 intrest monthly and $151920 in the bank
Step-by-step explanation:
Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.
plsss helppp
can you pls do this?
Geometry problem, solve for X
Answer:
7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
Parallel lines with transversal
The angles are the same because of corresponding angles
130=19x-3
133=19x
133/19=x
x=7
which expression means the same as subtract from 7 and then multipy by 4
Answer:7-3x4 subtract 3 from 7 means you need to take 3 out of 7 (7-3) then you need to multiply that by 4! Hope this helped!
Step-by-step explanation:
Answer:
[7-3]4 or [7-3]x4 your welcome hope it helps!
Step-by-step explanation:
Please help mee …………..
Answer: i think its A
Step-by-step explanation:
Let's say that a is 8, b is 17, and c is x,
Maximum:
a + b > c
8 + 17 >c
c < 25
Minimum:
b + c > a
17 + c > 8
c > -9
(As it cannot be negative, we will call this 9.)
So, our answer is D as c, x, must be less than 25 and greater than 9.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Plz help fast I will mark brainliest
please help and show work
Answer:
Just do scan and solve by brainly really helpful ngl
Step-by-step explanation:
Can you help me find the answer
Answer:
quadrilateral
and
pentagon
Answer:
1. Trapezium
2.Pentagon
(Irregular)
