Which of the following pairs could be reasonable approximations for the diameter and circumference of a circle? 18 inches and 57 inches 3 centimeters and 28 centimeters 33 meters and 80 meters
Answer:
18 inches and 57 inches
Step-by-step explanation:
The diameter and the circumference of a circle are proportionate to each other.
The circumference of a circle will always be the diameter times [tex]\pi[/tex]. We know this because the circumference of a circle is represented as
[tex]2 \pi r[/tex]
Since the diameter is twice the radius, we multiply the radius by 2 - there's already a [tex]\cdot 2[/tex] in this equation, so [tex]c = \pi d[/tex].
1st option: [tex]18\cdot3.14 = 56.52[/tex], this is close to 57 so it's reasonable.
2nd option: [tex]3\cdot 3.14 = 9.42[/tex], this isn't close to 28 at all.
3rd option: [tex]33 \cdot 3.14 = 103.62[/tex], this isn't close to 80 at all.
So the 1st option is reasonable.
Hope this helped!
Answer:
First option: 18 inches diameter, 57 inches circumference
Step-by-step explanation:
Circumference of a circle is...
2 * radius * pi
We can approximate pi (3.14159...) to 3.
So the circumference of a circle is approx.
2 * radius * 3
We know the diameter of a circle is 2 times the radius...
diameter = 2 * radius
Thus, the circumference of a circle is approximately...
diameter * 3
First option:
Diameter 18, circumference 57
Let's try our approximation
18 * 3 = 54
We see that 57 is pretty close and is a reasonable approximation.
Second option:
Diameter 3, circumference 28
3 * 3 = 9
Not even close to 28.
Third option:
Diameter 33, circumference 80
3 * 33 = 99
Closer, but much further off than our first option.
what is 8 to the power of negative 1
Answer:
8
Step-by-step explanation:
Write an algebraic expression for each phrase.
1) the product of -3 and a number s
2) a number v divided by 12
3) the quotient of a number m and 10
4) the sum of 4 and a number f
Answer:
-3a
V/12
M/10=x
4f
Step-by-step explanation:
I hope this is the answer not sure...
It takes 45 minutes to drive to the nearest bowling alley taking city streets going
30 miles per hour (mph). How long will it take to get there using the freeway
going 65 mph if the distance is the same? (Round to the nearest minute). *
30 minutes
23 minutes
58 minutes
22.5 minutes
21 minutes
Answer:
21 minutes
Step-by-step explanation:
Given the following :
Taking CITY STREET:
Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours
Speed of travel = 30 miles per hour
Taking FREEWAY:
speed of travel = 65miles per hour
If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :
.
Distance to bowling alley taking city center :
Speed = distance / time
30 mph = distance / 0.75 hour
Distance = 30 × 0. 75 = 22.5 miles
Since distance is the same :
Time taken along FREEWAY :
Time taken = distance / speed
Time taken = 22.5 / 65 = 0.3461538 hour
Converting to minutes :
0.3461538 × 60 = 20.769 minutes
= 21 minutes ( to the nearest minute)
Determine the reason for step 1 in the following algebraic proof.
Answer:
Option (3)
Step-by-step explanation:
Given : 3x + 12 = 8x - 18
To prove : x = 6
Statements Reasons
1). 3x + 12 = 8x - 18 1). Given
2). 12 = 5x - 18 2). Subtraction property of equality
3). 30 = 5x 3). Addition property of equality
4). 6 = x 4). Division property of equality
5). x = 6 5). Symmetric property
For step 1 in the given proof Option (3) will be the answer.
solve for v 2(3v+8)=70
Answer:v = 9
Step-by-step explanation:
Simplifying
2(3v + 8) = 70
Reorder the terms:
2(8 + 3v) = 70
(8 * 2 + 3v * 2) = 70
(16 + 6v) = 70
Solving
16 + 6v = 70
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 6v = 70 + -16
Combine like terms: 16 + -16 = 0
0 + 6v = 70 + -16
6v = 70 + -16
Combine like terms: 70 + -16 = 54
6v = 54
Divide each side by '6'.
v = 9
Answer: the answer is 9
Step-by-step explanation:
1. open the bracket by multiplying: 2(3v+8)=70
6v+16=70
2. take the 16 over the equals sign. note:(the plus sign in front of the 16 changes to a minus sign.)
6v=70-16
6v=54
3. divide both sides by 6
6v/6=54/6
final answer: v=9
A scuba diver was 53 below the oceans surface. If he rises 25 feet, what is hte new depth?
Answer:
28 ft below the surface.
Step-by-step explanation:
A scuba diver was 53 below the oceans surface. If he rises 25 feet, what is the new depth?
You subtract 25 ft from 53 ft leaving you with 28 ft.
53 ft
- 25 ft
28 ft below the surface
Hope this helps.
2 GEOMTERY QUESTIONS
Answer:
first part c
second part d
Step-by-step explanation:
complimentary angles add up to 180
your looking for the halfway so the distace apsrt was 8 you divide that by 2 to get 4
Answer:
third one and the 2nd ? is 4
Step-by-step explanation:
complementary =180
between 8 and -2 is 4
If x-(-15)=23, what is the value for x?
Answer:
8
Step-by-step explanation:
When there are 2 minuses, they convert into + so that the ewuation turns into:
x+15=23
Then you move the +15 after the = sign
Now that you changed the side, you have to change sign so :
x= 23-15
x=8
evaluate -40 divided by 5
Answer:
-9
Step-by-step explanation:
Since 5 can go into 40 9 times, the answer would be nine, but by following negative rules, since we have an odd amount of negative numbers in this equation, the answer is -9
Answer:-8
Step-by-step explanation:
5 goes into -40 8 times. 5 goes into 45 9 times.
can i have help on step to -2(8m+8)=-16
Answer:
m = 0
Step-by-step explanation:
[tex]-2(8m+8)=-16\\\\\frac{-2(8m+8)=-16}{-2}\\\\ 8m+8=8\\\\8m+8-8=8-8\\\\8m=0\\\\\frac{8m=0}{8}\\\\ \boxed{m=0}[/tex]
Hope this helps.
select all true statements about the angles in the figure
Your hourly salary increased from $14 to $29. What is the percent increase in your
salary?
Answer:
107%
Step-by-step explanation:
$14 to $29
Original number/start = $14
End number = $29
Increase = $29 - $14 = $15
% increase = Increase ÷ Original Number × 100
Substitute in known values
% increase = 15 ÷ 14 × 100
Divide
% increase = 1.07 × 100
Multiply
% increase = 107%
The percentage increase is 107%
Hope this helps :)
Answer:
107%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100%
new number = 29; old number = 14
percent change = (29 - 14)/14 * 100%
percent change = 15/14 * 100%
percent change = 107%
Geometry:Finish the coordinate rule for a 90 degree rotation.
(x,y)—>
Answer:
(-y,x) The coordinates are switched and the y becomes a negative.
Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain for this function? 0 to 100 miles per hour 0 to 50 miles per gallon times from 0 to 10 minutes times from –10 to 10 minutes
Answer:
0 to 100 miles
Step-by-step explanation:
Trust me I know say thanks ppl
An altitude of a three-dimensional object is best described as option D, "a segment that is perpendicular to the planes containing the two bases."
What is 3d geometry?3D geometry is the study of shapes in 3D space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in 3D space, three criteria are required.
An altitude is a line segment drawn from a vertex of a three-dimensional object (such as a pyramid or cone) that is perpendicular to the plane including the base of the object. The altitude can be used to find the height of the object, which is the distance from the vertex to the base along the altitude.
For example, in a pyramid, the altitude is a line segment drawn from the apex (the top vertex) to the center of the base that is perpendicular to the base. In a cone, the altitude is a line segment drawn from the apex to the center of the circular base that is perpendicular to the base.
Learn more about 3d -geometry here:
https://brainly.com/question/15451289
#SPJ7
Identify the property that justifies the statement: If 3x=-21, then x=-7.
HELP ME
Bob's Bagels sells 10 bagels for $11.00, and Donny's Bagels sells 4 bagels for $3.00. Which is the better deal?
Answer the questions to find out.
1. Will the better deal have a lower or higher ratio of dollars per bagel?
Write your answer in the space below.
2. What fractions do you compare to find the better deal?
Write your answer in the space below.
3. Which store has the better deal, Bob's Bagels or Donny's Bagels? Explain.
Write your answer in the space below.
Answer:
4 bagels for $3
Step-by-step explanation:
10 bagels for 11 = 1.10 and 4 bagels for $3 = 0.75
Answer:
i would say the first one because you get 10 bagels for 11 $ because 1.50 cents per bagel
can you Evaluate 10⁰
Answer:
10⁰ =1
why?
because when everything ⁰ =1
hope it helped you:)
10-4x= -9x
I need help quick
Answer:
x = -2
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
~
First, add 4x to both sides:
10 - 4x (+4x) = -9x (+4x)
10 = -9x + 4x
10 = -5x
Isolate the variable, x. Divide -5 from both sides:
-5x = 10
(-5x)/-5 = (10)/-5
x = 10/-5
x = -2
x = -2 is your answer.
~
Please help I’m begging you and explain pls
Answer:
what is the question?
Step-by-step explanation:
show the full picture
The quotient of 2 and 9
You invest $1,250 in a stock. The value of the stock goes up 3.2% and you sell it. How much money did you make?
Answer:
$1290
Step-by-step explanation:
1250x3.2%=40
1250+40=1290
Step-by-step explanation:
100:1250
103.2:x
(103.2x1250)/100
=1290
he made additional $40
find the distance between each pair of points. round to the nearest tenth (-8,-2) and (6,-1)
Answer: 14
Step-by-step explanation:
To find the distance, find the difference in the x and y values,square them and add them. Then finally find the square root of the number you got after adding them together.
-2-(-1)= -1
-8 -6 = -14
-14^2 + -1^2 = d^2 where d is the distance
196 + 1 = d^2
197 = d^2
d= [tex]\sqrt{197}[/tex]
d= 14.0356 rounded to the nearest tenth is 14.
For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If the total of calories in Sameer’s snack was 56, how many strawberries did he eat?
Answer: 6
Step-by-step explanation:
So to find the answer, we would use the equation 32+4x=56 where as x represents the amount of strawberries Sameer ate. Now to solve for x
56-32=4x
24=4x
now divide 4 from bboth sides of the equation getting:
x=6
so Sameer ate 6 strawberries
describe fully the single transformation that maps traingle a to triangle b
Answer:
it is a reflection
Answer:
reflection y=x
Step-by-step explanation:
Fabienne rolls a ball 72 inches across the floor. This is 9 times the distance that Olivier rolls his ball across the floor. Let n represent the number of inches Olivier rolls his ball.
How many inches does Olivier roll his ball?
Select each equation that can be used to solve this problem.
Answer:
8 inches
Step-by-step explanation:
Oliver rolls his ball 1/9th of the distance Fabienne rolls his, so just divide 72 by 9 to get your answer.
Answer:
Oliver rolls his ball 8 inches.
the equation that was used to solve this was : 9n = 72 inches.
Step-by-step explanation:
Since the 72 inches was nine times the distance that Oliver rolled his ball, it means that the unknown number (n), was multiplied by 9 to get Fabienne's inches. So, 9n = 72.
divide both sides by the number next to the unknown to get (n), the number of inches that Oliver rolled his ball.... which is 8.
The temperature reading on a thermometer is 25 degrees F at noon. During the afternoon the temperature changes. What is the new reading if the temperature rises 10 degrees?
Answer:
35*F
Step-by-step explanation: aren't you just adding?
select all equations that have the same solution as 3x - 12=24
Answer:
4
Step-by-step explanation:
3x-12=24
-12 to both sides
3x-12-12=24-12
3x=12
3x/3=12/3x
x=4
What type of parent function is this? What is the domain and range of this function? write it in interval notation
Answer:
See below.
Step-by-step explanation:
This is a parabola. Therefore, it is a quadratic parent function. The quadratic parent function is:
[tex]f(x)=x^2[/tex]
The domain of the parent quadratic function is all real numbers.
The range of the parent quadratic function is all y-values greater than or equal to 0. From the graph, we can see that the graph never goes below 0.
So, the domain in interval notation is:
[tex](-\infty,\infty)[/tex]
And the range in interval notation is:
[tex][0,\infty)[/tex]
This is interpreted as all values greater than or equal to 0.
And we're done!
1. A taxicab ride costs $1.30 plus $0.85 per mile. If the total cost of the trip
is $11.50, how many miles did the passenger travel?
Answer:
Step-by-step explanation:
the answer is 12 miles okay so subtract $1.30 from the $11.50 because that is the prize pf being in the car then the pries of a mile is $0.85 if that the case $11.50 -$1.30 would equal $10.2 and $10.2 divide $0.85 is 12 hopefully this helps