In the diagram, the radius of the outer circle is 2x em and the radius of the inside circle is 6 cm. The area of the shaded region is 220 cm? What is the value of x2
Answer:
Answer: 8 (second choice)
Step-by-step explanation:
Area of a Circle
Given a circle of radius r, the area is calculated by the formula:
[tex]A=\pi\ r^2[/tex]
There are two circles in the diagram. The outer circle has a radius of r1=2x, thus its area is:
[tex]A_1=\pi\ (2x)^2[/tex]
The interior circle has a radius of r2=6 cm, thus its area is:
[tex]A_2=\pi\ 6^2=36\pi[/tex]
The shaded area is obtained by subtracting A1-A2:
[tex]A=\pi\ (2x)^2-36\pi[/tex]
The value of the shaded area is given as 220π cm2. Equating:
[tex]\pi\ (2x)^2-36\pi=220\pi[/tex]
Dividing by π:
[tex](2x)^2-36=220[/tex]
Adding 36:
[tex](2x)^2=220+36=256[/tex]
Taking square root:
[tex]2x=\sqrt{256}=16[/tex]
Dividing by 2:
x = 8 cm
Answer: 8 (second choice)
the formula for simple interest is
Answer:
p(r+1)
Step-by-step explanation:
Hope this helps
Answer:
I= prt
Step-by-step explanation:
P=Principle
R= Rate
T=Time
Divide.
511÷411
Enter the correct answer in the box.
Answer:
1.24
Step-by-step explanation:
Answer:
1.24330900243
Step-by-step explanation:
I did the whole equation on paper
Find the slope of the line that
passes through the following
points. (0,0), (-2,-4)
Answer:
m=2
Step-by-step explanation:
math is hard
Answer:
2
Step-by-step explanation:
The equation for finding slope is:
[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]
Plugging in our values of x and y gives us:
(-4 - 0)/(-2-0) =
-4/-2 =
4/2 =
2
Helppp meee pleaseee
Answer:
I'm not sure sorry if I'm wrong but I think the answers would be 3,4,5
Solve expression completely.
64°
O
1
O 64
O Unknown
Answer:
b
Step-by-step explanation:
-12{-8+[4(2-5)-(-10-2)]}
-12(-8+(4*2-4*5)+10+2)
-12(-8+(8-20)+12)
-12(-8-12+12)
-12(-8)
96
PLZ HELP ME ASAP PLZ
Answer:
14
Step-by-step explanation:
5×2²-2-4
5×4-2-4
20-2-4
18-4
14
Answer:
Rewrite the absolute value equation as four equations without absolute value bars.
5z−2=z+65−2=−(z+6)−(5z-2)=z+6−(5z−2)=−(z+6)
After simplifying, there are only two unique equations to be solved.
5z−2=z+65z−2=−(z+6)
Solve
5z−2=z+6 for z.
Tap for more steps...
z=2
Solve
5z−2=−(z+6)for z.
Tap for more steps...
z=−23
List all of the solutions.
z=2,−23
The result can be shown in multiple forms.
Exact Form:
z=2,−23
Decimal Form:
z=2,−0.6
Step-by-step explanation:
it is 0.6
WHAT DOES N = HELP ITS DUE IN 10 MINUTES
Answer:-7
Step-by-step explanation:
Answer:
N = -7
Step-by-step explanation:
16 - 9 = -7
Rashida keeps her collection of 162 books on three shelves there are 42 books on the first shelf there are x books on the second self the number of books on the third shelf is 2 times the number of books on the second shelf what is the value of x the number of books on the second shelf
Answer:
f
Step-by-step explanation:
162-42=120
divide 120 by the other 2 shelves and get 60. if its 2 times the number of books on the second shelf its 60.
Which other expression has the same value as (-14)-(-8)
Answer choices:
(-14)+8
14-(-8)
14+(-8)
(-14)+(-8)
Answer:
(-14)+(-8)
Step-by-step explanation:
A skateboarder rides by my office every 8 minutes, and a cyclist rides by every 10 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?
Answer:
40 minutes
Step-by-step explanation:
10 times 4 = 40
8 times 5 = 40
so they will cross paths after 40 minutes of riding
Raven graphed the function f( x) = −x2+8x . Which of the following is the vertex of Raven’s graph?
a)(4, 16)
b)(-4, 16)
c)(4, -16)
d)(-4, -16)
Answer:
a) (4,16)
Step-by-step explanation:
I believe it's this one. I have the same exact question :))
Please help I will mark you as brainlist
Which equation shows how to rewrite the sum of 30 and 45 using their greatest common factor? 30 + 45 = 5(6 + 9) 30 + 45 = 15(2 + 3) 30 + 45 = 5(6) + 15(3) 30 + 45 = 5(6)(3)
Answer: 30 + 45 = 15(2 + 3)
Step-by-step explanation:
The greatest common factor for 30 and 45 will be gotten as follows:
Factor of 30 = 2 × 3 × 5
Factor of 45 = 3 × 3 × 5.
GCF = 3× 5 = 15
Therefore, the equation that shows how to rewrite the sum of 30 and 45 using their greatest common factor will be:
30 + 45 = 15(2 + 3)
System of equations!!!
Answer:
Step-by-step explanation:
1. x^2-x-20=3x-15
x=5, x=1 substitute
y=3*5-15 = 0
y=3*(-1)-15 = -18
Solution: (5,0) & (-1,-18)
2. x^2+2x+3=x+5
x=-2, x=1 substitute
y= -2+5 = 3
y=1+5 = 6
Solution: (-2,3) & (1,6)
find x for this please.
Answer:
B) 4
Step-by-step explanation:
just plug in the numbers from your answer choices and see which one gets you to 120 since it is the opposite angle from 30x
help meee pleaseeeeee
Answer:
5[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Answer:
No ablo inglés.......
Step-by-step explanation:
ajaja
I need help- Badly I forgot how to do this- yikes
Answer:
Step-by-step explanation:
An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Find the values of x and y in the following triangle. y + 92° = 180° (interior angle + adjacent exterior angle = 180°.)
I don’t know how to complete this problem. Can anyone help out? Please and thank you :)
Find the measure of all the indicated angles.
Help please !!
Which of the following transforms y= x2
the
graph of y = (x + 5)2 ?
a translation 5 units to the right
a translation 5 units to the left
a translation 5 units down
a translation 5 units up
hing
Answer:
a translation 5 units to the left
Step-by-step explanation:
Answer
Part 1: B. 5 units left
Part 2: C. 7 units down
Hope it helps!
Have an amazing day!!
^ω^
-- FTS
If 5 boxes of girl scout cookies cost $20, how many boxes of girl scout cookies can I buy for $36?
Answer:
9
Step-by-step explanation:
20 / 5 = 4 36 / 4 = 9
find the simple interest on each amount 1500 at 11% for two years
Answer:
330.00
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 11%/100 = 0.11 per year,
then, solving our equation
I = 1500 × 0.11 × 2 = 330
I = $ 330.00
The simple interest accumulated
on a principal of $ 1,500.00
at a rate of 11% per year
for 2 years is $ 330.00.
Write the equation in slope intercept form of the line passing through the following points (0,5) and (-5, -1).
Answer:
y = 6/5x
Step-by-step explanation:
1. [tex]y = \frac{-1-5 }{-5-0}[/tex]
2. subtract the two number on the top of the fraction bar to get 6
3. do the same for the denominator to get 5
4. your final answer is [tex]\frac{6}{5}[/tex]
A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer region is 6 in. What is the area of the outer part of the rug?
Jasmine has 50 marbles in a bag. 20% of the marbles are blue. How many marbles are not blue? Explain how you found your answer.
Answer:
20% of 50 marbles is 1 fifth of the marbles in the bag. so 50 marbles divided by 5 =10 blue marbles
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
WOW, that's a lot of points!!
To find the answer for this problem, you take 80% of 50.
In the bag, 20% of the marbles are blue. That means that the rest of the 80% are not blue. So, take 0.8 * 50 = 40. 40 marbles that are not blue.
What is 2x + 7y = -14 in y=Mx+b form
Answer: y= -2/7x-2
Step-by-step explanation:
If f (x) = 5x + 4 then for what value of x will f(x) equal -11?
Answer:
-3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
This should be the answer. Brainliest would be appreciated.
Round 543,539 to the nearest hundred thousand
Answer:
500,000
Step-by-step explanation:
The nearest hundred thousand is the first 5
In rounding when something is 4 or lower it becomes a zero and if it is 5 or higher it is goes up to the next number for example if it is rounded to the nearest ten, and the number is 338, it would be 340