Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
(40/3)*pi
Step-by-step explanation:
lets first find the area of the little circle
A=pi*r^2
A=pi*3^2
A=9pi
Now, lets find the area of the big circle
A=pi*r^2
A=pi*(3+4)^2
A=pi*7^2
A=49pi
now lets subtract the area of the little circle from the area of the big circle
49pi-9pi=40pi, now we found the area of the "bagel)
lets find what portion of the bagel is the shaded region
120/360=1/3
now lets multiply the bagel area by the fraction
40pi*(1/3)=
(40/3)*pi or (40*pi)/3
Area of the shaded regions is equal to 7π/3
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: radius of the smaller circle= 3 and larger circle =4 cm
Now A = (θ/360°) × πr2
θ is the sector angle subtended by the arcs at the center (in degrees), r is the radius of the circle. If the subtended angle θ is in radians, the area is given by, A = 1/2 × r² × θ.
Thus we have Area ADBC= 1/2 × 16×2π/3 -1/2×9×2π/3
=16π/3 -3π
=7π/3
Hence, Area of the shaded regions is equal to 7π/3
Learn more about circle here:
https://brainly.com/question/14200825
#SPJ2
What is the slope of a line that is perpendicular to 6x + 3y = -9?
A 2
B. 1
w
C. -2
D.
Ninh
1
Please select the best answer from the choices provided
Answer: 1/2
Step-by-step explanation:
The equation given is simplified into y= -2x-3. The slope being -2. When a line is perpendicular you find the opposite inverse. That being -1/2. You flip the top and bottem and top numbers of the fraction. Then make it (positive or negative) opposite of the original slope value. Making it now positive 1/2
Evaluate the expression for x = -3.
x + 4x + 3
-18
B -16
C 0
Answer:
[tex] - 12[/tex]
Step-by-step explanation:
[tex]x + 4x + 3 \: \: \: \: if \: \: \: \: x = - 3 \\ now \\ ( - 3) + 4( - 3) + 3 \\ - 3 - 12 + 3 = - 12[/tex]
Solve: StartFraction 10 Over x EndFraction = 2 a. x = 5 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the choices provided A B C D
solve: [tex]\frac{10}{x}[/tex] = 2
Answer:
a. x= 5
Step-by-step explanation:
To solve the question given, we will follow the steps below;
[tex]\frac{10}{x}[/tex] = 2
multiply x to both-side of the equation
[tex]\frac{10}{x}[/tex] × x= 2× x
at the left-hand side of the equation, x will cancel-out x, leaving us with 10
10 = 2x
divide both-side of the equation by 2
10/2 = 2x/2
at the right-hand side of the equation, 2 at the numerator will cancel-out 2 at the denominator leaving us with just x, while on the left-hand side of the equation, 10 will be divided by 2
5 = x
x=5
Answer:
a
Step-by-step explanation:
A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest?
Answer:
One end of the ladder rests at 8 feet on the wall.
Step-by-step explanation:
In the figure attached,
AC is a ladder 10 feet long leaning against the wall.
Distance of it's one end from the wall = 6 feet
Let the ladder rests on the wall at the height = h feet
By applying Pythagoras theorem in ΔABC,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
(10)² = h² + 6²
h² = 100 - 36
h = √64
h = 8 feet
Therefore, one end of the ladder rests at 8 feet on the wall.
What is the value of (5 + 2)^2 - 9x3 + 2^3 ? Show all of your
work for full credit.
Answer:
30
Step-by-step explanation:
(5+2)=7
9x3=27
2^3=8
7^2 - 27 + 8 (evaluate)
7^2=49
49 - 27 + 8 (calculate)
=30
Determine which equation below can be solved to find the value of Angle
A. *
Answer:
i believe the correct answer is x+90+63=180
Step-by-step explanation:
Answer:
x + 90 + 63 = 180
Step-by-step explanation:
We do not have the value for angle B so we have to assume that B plus the 45 is 90. using this info we can see that A + 90 + 63 is equal to the line, which is 180(as all lines are). We can then get the equation x + 90 + 63 = 180
HELP ME PLZ NOT A TEST !!!!!!!!!!!!!!!!! ITS A REVIEW AND I DONT GET IT I NEED TO KNOW THE STEPS AND THE AWNSER
Answer: See below
Step-by-step explanation:
1. For this problem, you see that it's 5². The only problem that displays 5² is A². Now, there is a ×3 after that. That means there is 3 of 5². If you are still not sure, you can solve the problem.
5²×3=25×3=75
A shows 75.
-----------------------------------------------------------------------------------------------------------------
2. You need to first distribute each factor and then combine like terms.
-14a+10b+20a-32b+2
6a-22b+2
B
-----------------------------------------------------------------------------------------------------------------
3. You need to first distribute each factor and then combine like terms.
-6n+30+18n-12
12n+18
D
Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.
Answer:
A(√2) would be the correct answer.
Answer:
[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]
Step-by-step explanation:
[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
Find the medium of the following set of data. Round to the nearest 10th if necessary 26.1,8.4,11.4,44.1,32.3,46.41,18.5,20,9.3,19.6
Answer:
19.8
Step-by-step explanation:
You have to first put the numbers into ascending order:
8.4, 9.3, 11.4, 18.5, 19.6, 20, 26.1, 32.3, 44.1, 46.41.
Because there is an even amount of numbers, you end up with 19.6 and 20.
The in between of 19.6 and 20 is 19.8.
(You can work this out by adding the two numbers together and then dividing by two if you have to.)
Which statements are true?
Select each correct answer.
All squares are parallelograms.
No trapezoids are parallelograms.
All rectangles are squares.
All rectangles are quadrilaterals.
Answer:
All squares are parallelograms, and all rectangles are quadrilaterals are both true
Step-by-step explanation:
Answer:
The answer is a and d
a) All squares are parallelograms
d) All rectangles are quadrilaterals
hope i helped!
Please help!
Finding slope using tables
No need to show ur workk :D
just pls help me and give me a proper answer and u will get brainliest and lots of points im in desparate need plsssssssssssssssss helppppppppppppp
Answer:
The slope is 4
Step-by-step explanation:
Everytime x goes up by 1, y goes up by 4.
4/1=1
The slope of line is 4.
Therefore,the table represents the slop relationship between the lines....
please see the attached picture for full solution
hope it helps
At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?
A. It is a function because at any given time the oven was exactly one temperature.
B. It is a function because the oven temperature was the same at different times.
C. It is not a function because at any given time the oven was exactly one
temperature.
D. It is not a function because the oven temperature was the same at different
times.
Answer:
i think its B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A function cannot have an x-value that produces more than y-value.
We can assume that the time is x, and the temperature is y.
At any time, you do not have more than one temperature.
HELP ME ASAP IT IS DUE TODAY!!!!!!!! WHOEVER ANSWER THIS WILL BE REWARDED
Answer:
Large Pizza
Step-by-step explanation:
Rewarded with what? :P
Anyway,
The area of a circle is pi*r^2. Additionally, the radius is half the diameter.
The first pizza(s) have diameter 12, which means they have radius 6. The area of one is 6*6*pi=36pi, and since there are two we multiply by 2 to get 72pi.
The second pizza has diameter 18, so radius 9. The area of it is 9*9*pi=81pi.
Clearly 72pi is less than 81pi, so the Large Pizza is biggest.
Hope that helped,
-sirswagger21
(oh yeah and btw give me a million bucks for the reward ty :v)
* ANSWER ASAP *
This is difficult for me, and i don't get it??
Answer:
28
Step-by-step explanation:
DI is a radius, which is half of a diameter. CJ is a diameter, so you just double toe radius which is 14, to get 28.
Answer:
28
Step-by-step explanation:
Since DI is 14, then DJ would be the same length, and so would DC. So we add DJ plus DC, which is 14+14. 28 is our answer.
f(x)=x g(x)=1
What is the domain of (f/g)(x)?
Answer:
on edge
the first one is x=0 or a
and
all real numbers or C
Step-by-step explanation:
(f/g)(x) ⇒ f(x)/g(x) ⇒ x/1
Therefore, we look at the domain of the function x/1. There will almost always only be a gap if the denominator = 0. However, 1 ≠ 0, so therefore, there are no gaps or endpoints. Therefore, the domain is all real numbers
Answer:
First answer is A
Second answer C
Step-by-step explanation:
Edge 2020
There are 5 bacteria in a petri dish at the start of an
experiment. This type of bacteria doubles every 20
minutes.
Find the number of bacteria after 4 hours.
40
10,240
20,480
40,960
Answer:
20,480
Step-by-step explanation:
5x2^12
Answer:
20480
Step-by-step explanation:
got it right on edge
Rewrite using a negative exponent.
1/a ^4
Answer: a^-4
Step-by-step explanation:
[tex]\frac{1-4}{a^4-4}[/tex] = a^-4
A line passes through (0, -1.8) and has a slope of 7. Write an
equation of the line.
1. y=7x-12.6 2. y=7x+12.6 3. y=7x-1.8 4. y=x+-1.8
Answer:
equation of a line= y-y¹=m(x-x¹)
y--1.8=7(x-0)
y+1.8=7x-0
y+1.8=7x
y=7x+1.8
If you were to take Eva’s age X divide it by five and then square the quotient you would have John’s age how old is John
X - Eva's age
[tex]\dfrac X5[/tex] - Eva's age divided by five
[tex]\left(\dfrac X5\right)^\big2[/tex] - Eva's age divided by five and then squared
[tex]\left(\dfrac X5\right)^\big2=\dfrac{X^2}{25}[/tex]
Answer:
John is [tex]\frac{X^2}{25}[/tex] years old now
A rectangular lot is 50 meters wide and 90 meters long. Give the length and the width of another rectangular lot that has the same perimeter but a larger area.
Answer:
Length = 80 metres and Width = 60 metres.
Step-by-step explanation:
Given
Length = 90m
Width = 50m
Required
Dimension of another rectangle with the same perimeter but larger area;
Perimeter of a rectangle is calculated as thus;
[tex]Perimeter = 2(Length + Width)[/tex]
Substitute: Length = 90m and Width = 50m
[tex]Perimeter = 2(90m+ 50m)[/tex]
[tex]Perimeter = 2(140m)[/tex]
[tex]Perimeter = 280m[/tex]
Area of a rectangle is calculated as thus;
[tex]Area = Length * Width[/tex]
Substitute: Length = 90m and Width = 50m
[tex]Area = 90m * 50m[/tex]
[tex]Area = 4500m^2[/tex]
So, the implication of this question is to get a rectangle whose perimeter is 280m and area is greater that 4500m²
Using trial by error method;
Assume length of a rectangle is 80m;
This means the width must be 60m
Calculating the perimeter
[tex]Perimeter = 2(80m+ 60m)[/tex]
[tex]Perimeter = 2(140m)[/tex]
[tex]Perimeter = 280m[/tex]
Calculating the area
[tex]Area = 80m * 60m[/tex]
[tex]Area = 4800m^2[/tex]
Since, the area of this rectangle is greater than the area of the previous rectangle. we can adopt this dimension.
Length = 80 metres and Width = 60 metres.
Note: There are other dimensions that have higher area and exact perimeter as the given rectangle in the question;
Can anybody tell me the answer to this question in the picture?
Answer:
Option 2
Step-by-step explanation:
Group 2 does have a greater median. And group 1 is less spread out
Write the standard equation of the circle with center (-1, 2) and radius 7.
a
b
(x + 1)2 + (y-2) - 7
(x - 2)2+(y+1) - 49
(x+1)+(y-2) - 49
(x-1) + (y+2) = 49
Answer:
(X+1)^2+(y-2)^2=49
Step-by-step explanation:
Standard Equation of a circle: [tex](x-h)^{2} +(y-v)^{2}[/tex]=[tex]r^{2}[/tex]
Center: (-1,2)
Radius: 7
Equation would be: [tex](x+1)^2+(y-2)^2=49[/tex]
Please help y’all lots of point
Answer:
[tex]\mathrm{Option \: C.}[/tex]
[tex]x \ne-3, \:4[/tex]
Step-by-step explanation:
[tex]F\left(x\right)=\frac{\left(x-4\right)\left(x+2\right)}{\left(x+3\right)\left(x-4\right)}[/tex]
[tex]\left(x+3\right)\left(x-4\right)=0[/tex]
[tex]x+3=0\\x+3-3=0-3\\x=-3[/tex]
[tex]x-4=0\\x-4+4=0+4\\x=4[/tex]
What would the football player's weight be on the moon where acceleration due to gravity is
1.60 m/s??
Answer:
Step-by-step explanation:
Around 0
) Which expression represents the change in the
ship's location?
15
14-
2.4
13-+
12-1
11-
•) What is 2-4?
10-+
9
2-4=
8
8-
7
6
•) Which expression represents the change in the
ship's location?
5
4
3 +
2+(-4)
2 +4
2-(-4)
2.4
Answer:
5
Step-by-step explanation:
5677777273882828282929929282828828828×4=5
answer:
2*4
explanation:
2*4=8.000000000000000000000000
Which equation describes the locus of points 5 units from points (3, -4)?
A) (x+3)^2 + (y-4)^2=5
B) (x-3)^2 + (y+4)^2=5
C) (x-3)^2 + (y+4)^2=25
D) (x+3)^2 + (y-4)^2=25
***YOU DON'T HAVE TO EXPLAIN***
Answer:
I think the D number is correct(squaring on both side)
Select the correct answer from each drop-down menu. the profit earned by a sporting goods outlet is modeled in the graph below, where x is the number of years since the outlet opened. He recorded profit for the first ten years since the outlet opened. The domain represents the (cost per item, number of years, number of units) for which the outlet will earn a profit. The range of this function is (0,160000,80000 and 0,160000,80000). For this function, the range represents the outlets (number of years since opening,maximum profit, possible annual profits).
Answer:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
V=4/3pi(r^3)
V=4/3pi(9^3)
V=3,054 inches^3
Hope this helps!!!!!!!!!
Step-by-step explanation:
from the graph attached below:
domain of graph is the value of x for which the given function profit function p(x) is defined.
(a) the domain represents the number of years for which the outlet will earn a profit.
range of profit function defines the lowest to highest value of profit earned.
(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.
Solve this inequality.
7x + 2 > 30
A.x 224
B.x > 196
C.x 4
D.x > 3
Answer:
x > 4
Step-by-step explanation:
7x + 2 > 30
Subtract 2 from each side
7x + 2-2 > 30-2
7x > 28
Divide each side by 7
7x/7 > 28/7
x > 4
Answer:
it is c
Step-by-step explanation:
Suppose that f(5) = 1, f '(5) = 4, g(5) = −8, and g'(5) = 7. Find the following values.