Answer:
Ratio of circumferences: [tex]\displaystyle\frac{1}{4}[/tex]
Ratio of radii: [tex]\displaystyle\frac{1}{4}[/tex]
Ratio of areas: [tex]\displaystyle\frac{1}{16}[/tex]
Step-by-step explanation:
Hi there!
We are given:
- The circumference of Circle K is [tex]\pi[/tex]
- The circumference of Circle L is [tex]4\pi[/tex]
Therefore, the ratio of their circumferences would be:
[tex]\displaystyle\frac{\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified
The formula for circumference is [tex]C=2\pi r[/tex], where r is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.
If the circumference of Circle K is [tex]\pi[/tex], or [tex]1\pi[/tex], then its radius is [tex]\displaystyle\frac{1}{2}[/tex].
If the circumference of Circle L is [tex]4\pi[/tex], then its radius is [tex]\displaystyle\frac{4}{2}[/tex], which is 2.
Therefore the ratio their radii would be:
[tex]\displaystyle\frac{\frac{1}{2}}{{2}}[/tex] ⇒ [tex]\displaystyle\frac{1}{2}*\frac{1}{2}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified
The formula for area is:
[tex]A=\pi r^2[/tex]
First, let's find the area of Circle K:
[tex]A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi[/tex]
Now, let's find the area of Circle L:
[tex]A=\pi (2)^2\\A = 4\pi[/tex]
Therefore, the ratio of their areas would be:
[tex]\displaystyle\frac{\frac{1}{4}\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{\frac{1}{4}}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{4} * \frac{1}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{16}[/tex] when simplified
I hope this helps!
What is the slope intercept form of the equation of the line passing through (1,2) and (3,10).
Answer:
y = 4x - 2
Step-by-step explanation:
slope = (10 - 2)/(3 - 1) = 8/2 = 4
Let the equation be y = 4x + b
Sub (1, 2) into it,
2 = 4*1 + b
so b = 2 - 4 = -2
The equation is y = 4x - 2
PLEASE HELP QUICKLY 10 BRAINLY POINTS
The student store buys one dozen pencils for 96¢ and sells them for 20¢ each. How much profit does the store make on a dozen pencils?
Group of answer choices
$0.12
$1.44
$0.24
Answer: $1.44
Step-by-step explanation:
find sin(x) if cos(x) = -22/29
Answer:
sin(x) = ±(√357)/29 ≈ ±0.651533
Step-by-step explanation:
The relation between sine and cosine is ...
sin(x) = ±√(1 -cos(x)^2)
sin(x) = ±√(1 -(-22/29)^2) = √(1 -484/841) = √(357/841)
sin(x) = ±(√357)/29
_____
Additional comment
The sign of the cosine is negative, which places the angle in quadrant II or III. In quadrant II, the sine is positive; in quadrant III, the sine is negative. That is, we cannot tell which sign to apply from the information given.
(20, 21, 29) is a Pythagorean triple. We suspect a typo in the question: 22 is used where 20 or 21 is likely intended.
What solution value satisfies the compound inequality x - 1 < -7 or x/4 > 1?
Answer:
x > -6 or x > 4
Answer: B. x = –8
Step-by-step explanation:
write a linear equation that passes through the points(2,-2) and (0,1)
Answer:
Slope intercept: y = -3/2x + 1
Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]
Step-by-step explanation:
m = (change in y)/change in x)
But also
m = y_2 - y_1/x_2 - x_1
So lets substitute
m = 1 - (-2)/0 - (2)
Lets find the slope
m = 3/0 - (2)
m = 3/-2
m = -3/2 (Moved the negative)
Now we find the value of b using the equation of a line.
y = mx + b
y = (-3/2) * x + b
y = (-3/2) * (2) + b
-2 = (-3/2) * (2) + b
Now we find the value of b
Lets rewrite
-3/2 * 2 + b = -2
Cancel the CF of 2
-3 + b = -2
Move the terms without b to the right
b = -2 + 3
b = 1
Now we substitute our values of the slope and y-int into y = mx + b to find the equation.
y = -3/2x + 1
Answer:
[tex]y=\frac{-3}{2}x-1[/tex]
Step-by-step explanation:
Given the two points, we can use the slope formula to get the slope of our equation.
[tex]\frac{y_2-y_1}{x_2-x_1}=m[/tex]
Plug in what we know
[tex]\frac{(1)-(-2)}{0-2}=m[/tex]
[tex]m=\frac{-3}{2}[/tex]
[tex]y=\frac{-3}{2}x-b[/tex]
Plug in one of the points given and solve to find our y-intercept [b]
[tex]-2=\frac{-3}{2}(2)-b[/tex]
[tex]b=1[/tex]
(we already know our y-intercept since we're given what y is when x is 0 [hence (0,1)], but this is how it is done if we did not know it initially)
Final equation
[tex]y=\frac{-3}{2}x-1[/tex]
What is an equation of the line that passes through the points (-6, 5) and (6, 7)?
Answer:
[tex]y=\frac{1}{6}x+6[/tex]
Step-by-step explanation:
Let [tex](x_1,y_1)\rightarrow(-6,5)[/tex] and [tex](x_2,y_2)\rightarrow(6,7)[/tex]
Determine slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{7-5}{6-(-6)}\\ \\m=\frac{2}{6+6}\\ \\m=\frac{2}{12}\\ \\m=\frac{1}{6}[/tex]
Use either ordered pair to find the y-intercept
[tex]y=mx+b\\\\7=\frac{1}{6}(6)+b\\\\7=1+b\\\\6=b[/tex]
Final equation
[tex]y=\frac{1}{6}x+6[/tex]
Could you please list all 6 answers below? 30 points and Brainliest if you answer. You have to put them in simplest form.
1. 3/8 x 4/11
2. 8/15 x 5/6
3. 7/12 x 3/14
4. 9/20 x 4/5
5. 7/10 x 20/21
6. 8/18 x 9/20
Answer:
[1] [tex]\frac{3}{22}[/tex]
[2] [tex]\frac{4}{9}[/tex]
[3] [tex]\frac{1}{8}[/tex]
[4] [tex]\frac{9}{25}[/tex]
[5] [tex]\frac{2}{3}[/tex]
[6] [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[1] Using the given fractions,
3/8×4/11
Applying the fractions formula for multiplication,
=3×4/8×11
=12/88
Simplifying 12/88, the answer is
=3/22
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋ
[2] Using the given fractions,
8/15×5/6
Applying the fractions formula for multiplication,
=8×5/15×6
=40/90
Simplifying 40/90, the answer is
=4/9
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[3] Using the given fractions,
7/12×3/14
Applying the fractions formula for multiplication,
=7×3/12×14
=21/168
Simplifying 21/168, the answer is
=1/8
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[4] Using the given fractions,
9/20×4/5
Applying the fractions formula for multiplication,
=9×4/20×5
=36/100
Simplifying 36/100, the answer is
=9/25
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[5] Using the given fractions,
7/10×20/21
Applying the fractions formula for multiplication,
=7×20/10×21
=140/210
Simplifying 140/210, the answer is
=2/3
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[6] First:
Reduce fractions where possible.
Then your initial equation becomes:
4/9×9/20
Applying the fractions formula for multiplication,
=4×9/9×20
=36/180
Simplifying 36/180, the answer is
=1/5
[RevyBreeze]
Your most trustful answer
Hi everyone same as a while ago please help me with this :))) (with solution plzz) Thank you!
6.) Convert 820 cg to g.
7.) Convert 3.8 L to mL.
8.) Convert 56000 cL to L
9.) Convert 63 dL to mL.
10.) Convert 12 in to cm
11.) Convert 4 mi to ft.
12.) Convert 16 ft to cm.
(You don't have to answer all of them , Half of it is ok like 9-12 ) Thank you
Answer:
6. 8.2g
7. 3800 ml
8. 560 L
9. 6300 ml
10. 30.48cm
11. 21120 ft
12. 487.48cm
Step-by-step explanation:
820 ÷ 100
3.8 × 1000
56000 ÷ 100
63 × 100
12 × 2.54
4 × 5280
16 × 30.48
Please mark me as brainliest
NO LINKS!! Which graph illustrates even symmetry? Odd symmetry? Please support your response.
Answer:
a) odd
b) even
Step-by-step explanation:
a) It is an odd symmetry because it is symmetric about the origin, meaning if you rotate an odd function 180° around the origin, you will have the same function you started with.
b) It is an even symmetry because it reflects over the y-axis. The left and right looks the same.
Heather jogged 5 miles.
How many feet did she jog?
1 mi = 1760 yd, 1 yd = 3 ft
Enter your answer in the box
ft
Answer:
26400
Step-by-step explanation:
1 mi=1760 yd
5mi=8800yd
1yd=3ft
8800yd=26400ft
If Heather jogged 5 miles in terms of feet he jogged 26400 feet.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Heather jogged 5 miles.
Also given that 1 mi = 1760 yd and 1 yd = 3 ft.
Therefore, If Heather jogged 5 miles then he jogged 5×1760 yards and
5×1760×3 feet which is,
= 26400 feet.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
Pls help me pls pls pls pls pls
Answer:
-2, 0, d
refer the image attached
Answer:
d > -2
Graph :
PLEASEPLEASEPLEASEPLEASE
HELP ASAP
What is the correct expanded form and value of (4/5)³ ?
Answer:
(4/5)³ = 4/5 * 4/5 * 4/5 = 64/125.Step-by-step explanation:
An exponent is a number that makes another number multiply itself.
If it's on a fraction, then we need to do this:
4/5³ = 4/5 * 4/5 * 4/5.It can be confusing.
Remember,
We are not adding.
Ed hiked 3 kilmometers on Saturday and swam 2 kilometers on sunday. How many total meters did ed hike and swim on saturday and sunday ?
Answer:
5000 meters
Step-by-step explanation:
kilometers to meters=1km to 1000m
so 5km to 5000m
The total meters did ed hike and swim on Saturday and Sunday 5000 meters.
We have given,
Ed hiked 3 kilometers on Saturday and
Swam 2 kilometers on Sunday.
What is the value of one kilometer?Kilometers to meters
1km = 1000m
We have to find the total distance Ed hiked and swam on Sunday and Saturday,
Total distance=3km +2km
=3km +2km
=5km
1km=1000m.
So 5km to 5000m.
To learn more about the distance visit:
https://brainly.com/question/17273444
Suppose that X stands for a temperature in degrees Celsium, Y the same temperature in degrees Fahrenheit. So: Y = (9/5)*X + 32
Let E(X)=10 and Var(X)=2, Find E(Y) and Var(Y).
The value of E(Y) and Var(Y) are 50 and 178/5 respectively
Temperatures measurementGiven the formula for temperature conversion expressed as:
Y = (9/5)*X + 32
where:
X stands for a temperature in degrees Celsius,
Y the same temperature in degrees
If E(X) = 10, then;
Y = (9/5) * 10 + 32
Y = (9*2) + 32
Y = 18 + 32
Y = 50
Hence E(Y) = 50
If Var(X) = 2
Y = (9/5) * 2 + 32
Y = 18/5 + 32
Y = 178/5
Hence Var(Y) = 50
The value of E(Y) and Var(Y) are 50 and 178/5 respectively
Learn more on temperature here: https://brainly.com/question/894531
1+2*3-4. Please answer
Answer:1(2x3)-4= 3
2x3= 6 -4=2+1=3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
2x3=6
1+6=7
7-4=3
When a number ,x, increases by 12% and then decreased by 12% then the new number will be?
Answer: The new number is 1.44% smaller than the original.
=========================================================
Explanation:
To increase by 12%, we involve the multiplier 1.12
Think of 1.12 as 100% + 12% = 1 + 0.12 = 1.12
We go from x to 1.12x
To decrease by 12%, we will use the multiplier 0.88 because 1 - 0.12 = 0.88
Think of it like a discount. If you save 12%, then you pay the remaining 88%
So 0.88*1.12x = 0.9856x
The value 0.9856 is smaller than 1, meaning that overall we have a net discount going on.
The discount rate is 1 - 0.9856 = 0.0144 = 1.44%
In other words, x ultimately goes down by exactly 1.44%
----------------
If you want to use an actual number to see an example, let's go for x = 100
Increasing 100 by 12% means we increase by 0.12*100 = 12
We go from 100 to 112
Then decreasing by 12% means the value goes down by 0.12*112 = 13.44 and drops to 112-13.44 = 98.56
The original value 100 becomes the final value 98.56
This is a percent decrease of (100-98.56)/100 = 0.0144 = 1.44%
Brainliest if correct
Answer:
30
Step-by-step explanation:
(3+3³)
3+27
30
Answer:
[tex]30[/tex]
Step-by-step explanation:
[tex]3\cdot(1+3^2)\\\\3\cdot(1+9)\\\\3\cdot(10)\\\\30[/tex]
Remember to follow PEMDAS
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 2 feet high?
Answer:
[tex]\frac{2}{9\pi}ft^3/min[/tex]
Step-by-step explanation:
Given
[tex]\frac{dV}{dt}=2ft^3/min\\ \\\frac{dh}{dt}=?\\ \\V_{cone}=\frac{1}{3}\pi r^2h\\\\d=2r=3h\\\\\frac{d}{2}=r=\frac{3}{2}h\\\\h=2[/tex]
Calculation
[tex]V=\frac{1}{3}\pi r^2h\\ \\V=\frac{1}{3}\pi(\frac{3}{2}h) ^2h\\\\V=\frac{1}{3}\pi(\frac{9}{4}h^2)h\\ \\V=\frac{9}{12}\pi h^3\\ \\V=\frac{3\pi}{4}h^3\\ \\\frac{dV}{dt}=\frac{9\pi}{4}h^2\frac{dh}{dt}\\ \\2=\frac{9\pi}{4}(2)^2\frac{dh}{dt}\\ \\ 2=9\pi\frac{dh}{dt}\\ \\ \frac{2}{9\pi} =\frac{dh}{dt}[/tex]
Therefore, the rate that the height of the pile is changing when the pile is 2 feet high is [tex]\frac{2}{9\pi}ft^3/min[/tex].
Determine f(-a) where f(x) = x2 - 6x and simplify.
Answer:
6a
Step-by-step explanation:
replace x with -a
-2a -6(-a)
-2a +8a
6a
Answer these questions about the steps of simplifying this rational expression:
Part A What is the GCF of the terms in the numerator and denominator? Rewrite the expression by factoring out any common factors.
Part B Write the quadratic expressions in the numerator and the denominator in factored form.
Part C Cancel the common factor of the numerator and the denominator to write the expression in simplified form.
Answer:
x²
Step-by-step explanation:
4x²-14x+6
x²-7x²+12x
=2×2×x×x-2×7×x+2×3
x×x×x-7×x×x+2×2×3
= -2+2
x×x
the 2s cancle each other
= x²
MULTIPLE CHOICE QUESTION
SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION
5x=y=7- 20-49:22
+ = 14
21 x = 42
2x-y=5
4x+2y=-10
x + 4y = 14
What is the value of y in this system?
Hint: Plug in the value of x to find y.
3
-2
-3
2
Answer:
(Q.1) No solution
(Q.2) True
(Q.3) x = 4 - 2y
(Q.4) True
Step-by-step explanation:
(Q.1) As shown in the first attached figure.
By graphing. x + 2y = 8 & x + 2y = -4
The two lines are parallel, there is no intersection points between the lines.
So, there is no solution to the system of equations.
Also, we should note the parallel lines have the same slope
to find it make the equation similar to y = mx + c where m is the slope
at this situation m = -1/2
===================================================
(Q.2) As shown in the second attached figure.
By graphing the system of inequalities y> -3x+2 & y<2x+1
The Shaded area represents the solution of the system of inequalities
And the point (4,2) is inside the shaded area
So, The ordered pair (4,2) is a solution to the system of inequalities.
====================================================
(Q.3) solving the system { x+2y=4 & 2x+2y=6 } by substitution
From the first equation x + 2y = 4
we will find x in terms of y then plug it into the second equation
So, x + 2y = 4 ⇒ x = 4 - 2y
=====================================================
(Q.4) As shown in the third attached figure.
By graphing. 2x + 4y = 8 & x + 2y = 6
The two lines are parallel, there is no intersection points between the lines.
So, there is no solution to the system of equations.
Also, we should note the parallel lines have the same slope
to find it make the equation similar to y = mx + c where m is the slope
at this situation m = -1/2
Ram is three times as old as his sister Sudha. After three years, he will
be twice as old as Sudha. Find their present age.
Answer:
Step-by-step explanation:
Let's replace Ram with r and Sudha with s.
(r = 3s) + 3 = (r = 2s)
(r = 2x) = ( r = 3s - 3)
3s - 3 = 2x
3s - 1x = 2x
s = 3
If r = 3s and s = 3, then r = 3 x 3 = 9.
Ram is 9 years old and Sudha is 3 years old.
Answer:
age of ram = 9 years
and the age of sudha is 3 years
Step-by-step explanation:
let the present age of ram be x
and his sister sudha's present age be y
Ram is three times as old as his sister Sudha
so, x = 3y ----i)
After three years, he will be twice as old as Sudha.
so , x+3 =(y+3)2
=> x+3 = 2y+6 ----ii)
now putting the value of x in equation ii)
=> 3y+3 = 2y+6
=> 3y-2y = 6-3
=> y = 3 { the present age of sudha is 3 year}
now the age of ram = x = 3y
=> x = 3(3)
=> x = 9
Kelly is taking a cross-country road trip. She was able to drive 325 miles in 2 days. If her car gets 30 miles to the gallon, how many gallons of gas did she use for the trip?
Answer:
the awnser is 19,500
Step-by-step explanation:
you multiply 325 × 2=650 then you multiply 30×650=19,500
Find the measure of AB.
A 21
B 14
C 20
D 22
Use the figure to solve the inequality
Answer:a hope this helps
Step-by-step explanation:
What do I supposed to do ?
Answer:
Just add the 2 fractions that were mentioned
Step-by-step explanation:
turn 6 1/2 into an improper fraction and then add it to 5/8 by finding a common denominator
so it would be like -
13/2 + 5/8 = 52/8 + 5/8 = 57/8 = 7 1/8
Answer:
6 1/2 + 5/8 = 57/8 = 7 1/8 = 7.125
Step-by-step explanation:
Conversion a mixed number 6 1/2
to a improper fraction: 6 1/2 = 6 1/2 = 6 · 2 + 1/2 = 12 + 1/2 = 13/2
To find a new numerator:
a) Multiply the whole number 6 by the denominator 2. Whole number 6 equally 6 * 2/2 = 12/2
b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
c) Write a previous answer (new numerator 13) over the denominator 2.
Six and one half is thirteen halfs
Add: 13/2 + 5/8 = 13 · 4/2 · 4 + 5/8 = 52/8 + 5/8 = 52 + 5/8= 57/8
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirteen halves plus five-eighths = fifty-seven eighths.
The General Sherma, the largest tree in the world, has a maximum diameter of 36.5 feet. What is the circumference of the tree?
Answer:
The General Sherman Tree is the world's largest tree, measured by volume. It stands 275 feet (83 m) tall and is over 36 feet (11 m) in diameter at the base. Sequoia trunks remain wide high up. Sixty feet above the base, the Sherman Tree is 17.5 feet (5.3 m) in diameter.
Step-by-step explanation:
Please help me with this question
Answer:
13.5m/s
Step-by-step explanation:
formula is v=u + at
as given:
u=3m/s
a=1.5m/s²
t=7secs
v=3+1.5(7)
v=3 + 10.5
v = 13.5m/s
The unit for velocity is m/s
Answer:
a) 87
b) 13.5
Step-by-step explanation:
for the first question we've been given the equation and the parameters needed
so we just input the parameters
3a+4b when a is 17 and b is 9
therefore the answer is 3*17 + 4*9
51+36=87
second question
that's an equation of motion and we've been given all the parameters we also need so we just input the parameters In the equation
v=u+at
v=3+1.5*7
v= 3+10.5
v=13.5
At a sale, dresses were sold for $192 each. This price was 96% of a dress's original price. How much did a dress originally cost?
Answer:
it was 200
Step-by-step explanation:
srry if its wrong