Answers
Answer & Step-by-step explanation:
First, we must know the formula for finding the circumference of a circle.
Circumference = dπ
(d) represents your diameter. In order to find the diameter, you have to multiply the radius by 2 because the radius is half the size of the diameter.
The radius we are given is 15. So well do 15 multiplied by 2.
15 * 2 = 30
Now, since we have ti put the answer in terms of pi, then you are just going to leave 30 as it is and add the pi symbol.
C = 30π
Related Questions
I will give brainliest answer
Answers
Answer:
The answer would be 12.571428571 units or 12.57units.
The function ƒ(x) = 4x + 1 is transformed to g(x) = 2x + 1. What type of transformation has occurred? A) Reflection and Vertical Translation B) Rotation C) Reflection D) Rotation and Vertical Translation
Answers
Answer:
B) Rotation
Step-by-step explanation:
The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.
Answer:
rotation
Step-by-step explanation:
Write the quadratic function f(x) = 3(x + 1)(x – 7) in standard form.
A)
f(x) = x2 – 18x – 21
B)
f(x) = 3x2 – 18x – 21
C)
f(x) = x2 – 6x – 7
D)
f(x) = 3x2 – 6x – 7
Answers
Answer:
B
Step-by-step explanation:
Given
f(x) = 3(x + 1)(x - 7) ← expand the factors using FOIL
= 3(x² - 6x - 7) ← distribute the parenthesis
= 3x² - 18x - 21 → B
Suppose a rock in free fall is dropped off a cliff. After falling 5 seconds, its
speed will be 100 m/s.
A. True
B. False
Answers
Answer:
B
Step-by-step explanation:
You can use an equation from physics to help with this.
[tex]v_f=v_o+at[/tex]
Since the initial velocity is 0, you can set up the following equation:
[tex]v_f=0+(10)(5)\\\\v_f=50\neq 100[/tex]
Hope this helps!
Which equation can be used to find the measure of angle LKJ?
cos−1(StartFraction 8.9 Over 10.9 EndFraction) = x
cos−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Answers
Answer:
fourth option
Step-by-step explanation:
Using the sine ratio in the right triangle.
sin JKL = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KJ}[/tex] = [tex]\frac{8.9}{10.9}[/tex] , thus
x = [tex]sin^{-1}[/tex] ([tex]\frac{8.9}{10.9}[/tex] )
Answer:
D. [tex]sin^{-1} (\frac{8.9}{10.9} ) = x[/tex]
Step-by-step explanation:
Sin is used to find the side length of a right triangle using angle degrees. However, this is using the inverse. The ratios are still the same, though.
sin(x) = 8.9/10.9 because it is the opposite side's length over the hypotenuse length. Making it the inverse would make it D.
question in attachment
Answers
Answer:
The range within 1 standard deviation :155.12 ,328.38
Step-by-step explanation:
Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]
[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]
Mean =241.75
[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]
Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]
Standard deviation =86.63
Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]
Range within 1 standard deviation :(241.75-86.63,241.75+86.63)
Range within 1 standard deviation :155.12 ,328.38
Hence The range within 1 standard deviation :155.12 ,328.38
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answers
Answer:
Step-by-step explanation:
Please do 1,2,3 for 10 points
Answers
Answers:
-218-2please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
1. -2
2. 18
3. -2
Step-by-step explanation:
In the following explanations "x" is a variable which represents "a number" given in the problems.
1. You can set up a simple equation " x + 7 = 5 " because you are increasing a number to get the answer. From there you can subtract 5-7 and you'll get -2, the answer to the first one.
2. This time the number is decreased by 6, and the answer is 12. Since it's being decreased, you'll set up the equation like this: " x - 6 = 12 ". For this problem you can do 12 + 6 = 18, which is your answer.
3. A number "added" to -3 is -5. The number following 'is' will almost always be the answer you're looking for, so we can do x + (-3) = -5 . From there just add 3 to each side, and you'll get -2 + (-3) = -5.
If you take one thing away from this, let it be the following:
The methods that I used do work, but something I'd suggest trying in the future is carrying over the same number to the other side of the equation.
If you're struggling on these problems, this might help.
The way this works is simple, lets say you have this equation:
x + 5 = 10
The best and most efficient way of solving this problem is by taking a number from one side, and moving it to the other side. It seems confusing at first, but isn't all that hard once you figure it out. So for this problem:
x + 5 = 10
- 5 -5
Now you only have 'x' on the left side of the equation. This is the end goal. Once you get x on one side of the equation, the answer tends to be on the other side.
So:
x + 5 = 10
- 5 -5
x + 0 = 5 <- this is what you want.
x = 5
Hope this helps, and hope you learned more from this then an hour and a half at school :P
what's the conversion factor used to convert inches to yards ?
Answers
The conversion factor used to convert inches to yards is: 36 inches in 1 yard.
How many water do you need to mix with 200ml of shampoo? How many water should you mix with 500ml of shampoo? If the correct amount of water is mixed with 400ml of shampoo will the mixture fit in a 2500ml container?
Answers
Answer:
200 mL shampoo - 1050 ml water
500 mL shampoo - 2625 mL water
Step-by-step explanation:
1) 400 ml shampoo , should be mixed 2500 - 400 = 2100 mL of water.
2) 400 mL shampoo - 2100 mL water
200 mL shampoo - x mL water
x = 200*2100/400 = 1050 mL water
3) 400 mL shampoo - 2100 mL water
500 mL shampoo - x mL water
x = 500*2100/400 = 2625 mL water
In the picture above, y equals to ___
degrees. The acute angle (2y+6) measures___
degrees and its obtuse linear pair measures___
degrees. The variable x equals to___
degrees.
Answers
Answer:
y=18 and (2y+6) measures 42 the answer for obtuse 138 the last one is 46
Noah gathered information on the home states of the swimmers on Team USA. He organized the data in a table. Would a dot plot be appropriate to display his data? Explain your reasoning.This dot plot shows the ages of students in a swimming class. How many students are in the class?
Based on the dot plot, do you agree with each of the following statements? Explain your reasoning.
The class is an adult swimming class.
Half of the students are between 2 and 3 years old.
Answers
Answer:
1. No; 2. 16; 3. No; 4. Yes
Step-by-step explanation:
1. Home states of Olympic swimmers
A dot plot compares frequency counts within groups, usually with small sets of data.
Thus, it is great for visualizing quantitative data.
Home states are qualitative data.
It might be better to use a packed bubble chart, especially if more than 20 to 30 states are on the team.
In such a chart, the frequency with which the state name is mentioned would determine the relative bubble size.
It might look like the imaginary chart shown below.
A dot plot would not be appropriate.
2. Number of students
No. of students = 2 + 1 + 2 + 3 + 2 +1 + 1 + 2 + 2 = 16
3. Is this an adult swimming class?
The ages of the students range from 18 mo to 32 mo.
This is not an adult swimming class.
4. Ages of half the students
Half of 16 students is eight students.
The eight oldest students range in age from 25 mo to 32 mo.
This is between the ages of 2 yr to 3 yr (24 mo to 36 mo), so
Half the students are between 2 yr and 3 yr old.
Answer:
(1. No) (2. 16) (3. No) (4. Yes)
Step-by-step explanation:
Hope this helps!!
I really need help on these 2 questions. Please!!!!
Answers
Help pure people pls get brainliest
Answers
Answer:
hi there!
The correct answer is: 5
Step-by-step explanation:
The distance formula: [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
and since the two points given are: (2,1) and (5,5)
you plug in the points and you get: 5
[tex]\sqrt{(2-5)^{2} + (1-5)^{2} }[/tex]
[tex]\sqrt{(-3)^{2} + (-4)^{2} }[/tex]
[tex]\sqrt{9+16}[/tex]
[tex]\sqrt{25 } = 5[/tex]
Answer:
The correct answer is five
Step-by-step explanation:
The slope is 4/3 and since the distance can be found by creating a triangle we can just assume it is 5 because of Pythagorean triples
Picture 1: What is the value of x in this circle?
Picture 2: What is the degree measure of arc HG?
Answers
Answer:
Picture 1 x = 43°
Step-by-step explanation:
Picture 1 - When a triangle is formed inside a semicircle, two lines from either side of the diameter meet at a point on the circumference at a right angle.
180 - 47-90= 43° = x
(07.06 LC) Which statement is true about the equation fraction 4 over 5z − fraction 1 over 5z + 4 = fraction 3 over 5z + 6? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.
Answers
Answer: no solution
Step-by-step explanation: 4/5z - 1/5z = 3/5z
3/5z + 4 = 3/5z + 6
No solution
Answer:
[tex]$z=-\frac{48}{55} $[/tex]
It has one solution.
Step-by-step explanation:
[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]
Once we have fractions we already know the values when the equation is not true. I'm talking about division when the denominator is 0. It is undefined.
The values for [tex]z[/tex] are:
[tex]$0 ; -\frac{4}{5} \text{ and } -\frac{6}{5} $[/tex]
Now let's find [tex]z[/tex]. First, we have to find the least common multiplier:
In this case: [tex](5z+4)(5z+6)(5z)[/tex]
[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]
[tex]$\frac{4(5z+4)(5z+6)}{(5z+4)(5z+6)(5z)}-\frac{1(5z)(5z+6)}{(5z+4)(5z+6)(5z)}=\frac{3(5z)(5z+4)}{(5z+4)(5z+6)(5z)} $[/tex]
I will not proceed in the way above because it would take some time to type, instead, multiply [tex](5z+4)(5z+6)(5z)[/tex] both sides.
[tex]4(5z+4)(5z+6)-1(5z)(5z+6)=3(5z)(5z+4)[/tex]
[tex](20z+16)(5z+6)-(5z)(5z+6)=15z(5z+4)[/tex]
[tex]100z^2+200z+96-25z^2-30z=75z^2+60z[/tex]
[tex]200z+96-30z=60z[/tex]
[tex]200z-90z=-96[/tex]
[tex]110z=-96[/tex]
[tex]$z=-\frac{96}{110} $[/tex]
[tex]$z=-\frac{48}{55} $[/tex]
How many solutions does the following system of equations have? y=5/2x+2 and 2y=5x+8
Answers
Answer:
No solutions.
Step-by-step explanation:
y = 5/2x + 2
2y = 5x + 8
Plug the first equation into the second.
2(5/2x + 2) = 5x +8
5x + 4 = 5x + 8
5x + 4 cannot equal 5x + 8, so this system of equations has no solutions.
a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?
Answers
Answer:
40 boxes
Step-by-step explanation:
box = 24 x 15 x 10 = 3600 cm
1 paper clip box = 6 x 3 x 5 = 90 cm
3600/90 = 40
so 40 boxes of paper clips will fit
Answer:
40 boxes
box = 24 x 15 x 10 = 3600 cm
A paper clip box = 6 x 3 x 5 = 90 cm
3600/90 = 40
so 40 boxes of paper clips
please need help I will be MARKING as BRIANILIST. thank you so much
Answers
Answer:
Step-by-step explanation:
a, as the x axis increases, so does the y axis
b, temperature outside v ice cream sales
hours studied v grade on test
c, I cannot do for you, but i can tell you how. Draw a straight line that you feel is an accurate representation of the graph. Then find the slope and write an equation
Can anybody tell me the answer to this question in the picture?
Answers
Answer:
Option 2
Step-by-step explanation:
Group 2 does have a greater median. And group 1 is less spread out
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 80 miles per hour. The westbound train
travels at 70 miles per hour. How long will it take for the two trains to be 360 miles apart?
Do not do any rounding.
Answers
Answer:
2.4 hours
Step-by-step explanation:
after an hour the distance between them will be 80+70=150 miles
1 hour .......150 m
x hours .......360 m
x*150=360
x=360/150
x=2.4 hours
Answer: 2.4 hours
Step-by-step explanation:
Distance = speed x time
1st train = 80t
2nd train = 70t
80t + 70t = 360
t = 360/150 = 2.4 hours
Find the product:
-2x(-y - 3x + 3)
Answers
Answer:
[tex]=2xy+6x^2-6x[/tex]
Step-by-step explanation:
[tex]-2x\left(-y-3x+3\right)\\\mathrm{Distribute\:parentheses}\\=\left(-2x\right)\left(-y\right)+\left(-2x\right)\left(-3x\right)+\left(-2x\right)\cdot \:3\\\mathrm{Apply\:minus-plus\:rules}\\\left(-a\right)\left(-b\right)=ab,\:\:+\left(-a\right)=-a\\=2xy+2\cdot \:3xx-2\cdot \:3x\\\mathrm{Simplify}\:2xy+2\cdot \:3xx-2\cdot \:3x:\quad 2xy+6x^2-6x\\2xy+2\cdot \:3xx-2\cdot \:3x\\2\cdot \:3xx=6x^2\\2\cdot \:3x=6x\\=2xy+6x^2-6x[/tex]
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Isaak is writing an explicit formula to represent the sequence.
64, 112, 196, 343,...
What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest
hundredth.
O 0.75
1.75
58
279
Answers
Answer:
r = 1.75
Step-by-step explanation:
The common ratio r is found by dividing a term in the sequence by the previous term, that is
112 ÷ 64 = 1.75
196 ÷ 112 = 1.75
343 ÷ 196 = 1.75
The common ratio r = 1.75
Answer:
B
Step-by-step explanation:
which of the following sets of sides could NOT form a right triangle:
a 3 — 4 — 5
b 6 — 8 — 10
c 8 — 14 — 17
d 9 — 40 — 41
Answers
===================================================
Explanation:
Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = 5^2
9+16 = 25
25 = 25
We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2
This confirms a 3-4-5 triangle is a right triangle.
------
The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.
We can also see that choice D is a non-answer as well.
------
Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.
Let's see what happens when a = 8, b = 14, c = 17
a^2+b^2 = c^2
8^2+14^2 = 17^2
64+196 = 289
260 = 289 .... false equation
We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.
x+y= 2
y=-12? + 3
\right.V)
1. In two or more complete sentences, explain how to solve the system of equations algebraically.
2. Solve the system of equations. In your final answer, include all of your work.
Answers
Answer:
11
Step-by-step explanation:
11
The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 9.54 11.00 24.00
Answers
Answer:
Step-by-step explanation:
Hypotenuse^2=3^2+8^2
Hypotenuse^2=9+64=73
Hypotenuse =square root of 73
Hypptenuse =8.54
Answer:
8.54
Step-by-step explanation:
I took a test
Triangle JKL has vertex coordinates J(0,-3), K(-1,0), and L(-2,-1). It is reflected across the line y = x. What are the coordinates of J’K’L?
A. J’(0,-3), K’(1,0), L’(2,-1)
B. J’(-3,0), K’(0,-1), L’(-1,-2)
C. J’(3,0), K’(0,1), L’(1,-2)
D. J’(0,3), K’(-1,0), L’(-2,1)
Answers
Answer:
B
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
J(0, - 3 ) → J'(- 3, 0 )
K(- 1, 0 ) → K'(0, - 1 )
L(- 2, - 1 ) → L'(- 1, - 2 )
Answer:
yee its B
Step-by-step explanation:
Function gis transformed to obtain function has shown.
g(x + 2) - 5
Which statement describes how the graph of his different from the graph of g?
A
The graph of h is the graph of g shifted 5 units to the left and 2 units down.
B.
The graph of h is the graph of g shifted 5 units to the right and 2 units up.
The graph of h is the graph of g shifted 2 units to the left and 5 units down.
C.
D.
The graph of h is the graph of g shifted 2 units to the right and 5 units up.
Reset
Next
Answers
Answer:
dont get mad if I got it wrong but I think its C
A football is punted into the air. Its height h, in meters, after t seconds is given by the equation b) When will the ball reach a height of 30.4 meters?
Answers
Answer:
h = mt
Step-by-step explanation:
How to convert 1/4 to decimal form. How do I start that ? I obviously know it’s .25 but how do I show work ?
Answers
Answer:
(1/4 x 1 ) = 0.25
or (1/4) x 1 = 0.25
Step-by-step explanation:
We are doing the opposite to finding 25%
Which is 1/4 of 100%
We do this an opposite (not as inverse)
To find percentage increase as you can compare below.
or as percentage increase
230 x 0.25 (x 100) = 287.50
Even though we are not finding increase for 1/4 by changing it to decimal form, this practice does use the (x1) element in brackets and does identify the distribution.
Answer:
Use a calculator or use long division. See long division below.
Step-by-step explanation:
Use a calculator or use long division.
Long division:
------------------------------
4 | 1
4 does not go into 1, so add a decimal pace to 1.
0.
------------------------------
4 | 1.0
4 goes into 10 2 times.
0.2
------------------------------
4 | 1.0
- 8
--------------
2
There is a remainder, so bring down another 0.
0.2
------------------------------
4 | 1.00
- 8
--------------
20
4 goes into 20 5 times.
0.25
------------------------------
4 | 1.00
- 8
--------------
20
- 20
--------------
0
The remainder is zero.
1/4 = 0.25