Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations)
Answer:
52[tex]\pi[/tex]
Step-by-step explanation:
The total shaded are will be the area of big circle - not shaded circle + little shaded circle.
The are of big shaded circle: [tex]\pi[/tex][tex]r^{2}[/tex] So, A=[tex]\pi[/tex](8^2)= 64[tex]\pi[/tex]
The are of not shaded circle: [tex]\pi r^{2}[/tex] So, A= [tex]\pi[/tex](4^2)= 16[tex]\pi[/tex]
The are of little shaded cirlce: [tex]\pi r^{2}[/tex] So, A=[tex]\pi[/tex](2^2)= 4[tex]\pi[/tex]
64[tex]\pi[/tex] - 16[tex]\pi[/tex] + 4[tex]\pi[/tex]= 52[tex]\pi[/tex]
30 points! Will mark brainliest. No random answer please.
Answer:
to determine whether the equation of the line parallel or perpendicular.we have to find there slope.
Step-by-step explanation:
2x+3y=153y=15-2x
y=15/3 -2x/3
y=5-2x/3
y=-2x/3 +5
so the cooficient tell us the slope of the line so it is -2/34x+6y=-48
6y=-48-4x
y=-4x/6 -48/6
y=-4x/6 -8
so the slope of this line is -4/6now to say two lines are parallel there slope should be the same
-2/3 ≠ -4/6
to say two line are perpendicular with one another the product of there slope should be -1
-2/3 * -4/6
=8/18
=4/9 which is different from -1
they are neither parallel nor perpendicular.Which of the following is an improper integral?
A) the integral from 0 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
B) the integral from 1 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
C) the integral from negative 1 to 0 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
D) None of these
Answer:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
General Formulas and Concepts:
Calculus
Discontinuities
Removable (Hole) Jump Infinite (Asymptote)Integration
IntegralsDefinite IntegralsIntegration Constant CImproper IntegralsStep-by-step explanation:
Let's define our answer choices:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
B) [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]
C) [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]
D) None of these
We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.
Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.
∴ our answer is A.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
A bakery sold 96 vanilla cupcakes in a day, which was 48% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Step-by-step explanation:
96/x =48%/100
48x=9600
x=9600/48
x=200 cakes
a packet contains 6 maths books each of length 25 CM 20 cm and height 2 cm what is the volume of the packet
Step-by-step explanation:
1book valume = 25cm×20cm×2cm=1000cm³
a packet valume = 6×1000cm³ = 6000cm³
Answer:
216000 cm3
Step-by-step explanation:
length of packet = 6 × 25 cm = 150 cm
breadth of packet = 6 ×20 cm = 120 cm
height of packet = 6 × 2 cm = 12 cm
Now,
volume of packet = l×b×h = 150 cm × 120 cm × 12 cm
= 216000 cm3
What time is shown on this clock
Answer: around i believe 10:35
Step-by-step explanation:
Answer:
its 10:20
Step-by-step explanation:
If a number is tripled and then subtracted from 28, the result is 3 more than twice the number. What is the number?
A)x=5
B)x=31
C)x=6
D)x=4
Answer: x = 5
Step-by-step explanation:
Based on the information, the number is x= 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Consider that the number be x.
Given that;
Tripling the number we get = 3x.
On subtraction from 28, the equation will be: 28 - 3x.
Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3.
Now equating these two equations as;
28 - 3x = 2x + 3
Rewriting the equation as;
3x + 2x = 28 - 3
Now, addition on Left Hand Side and subtraction on Right and Side
5x = 25
x = 25 ÷ 5
Performing division on Right Hand Side, we get;
x = 5
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ6
Solve the system by graphing.
y=-3x + 3
y= 1/2x-4
Answer:
y=58°
Step-by-step explanation:
calculator
I have the same map test lol
£1 = $1.5 dollars
Convert £20 into dollars
Answer:
$30
Step-by-step explanation:
1.5 x 20 = 30
Janette has 386 pennies. 58 nickels and 19 dimes If Janette exchanges her coins for dollars, how many dollars will she have? How many cents will remiain?
Answer:
$8 ; 66 cents
Step-by-step explanation:
Given that:
Worth of penny, dimes and Nickel in cents and dollars
Nickel, n = 5 cents = $0.05
Dimes, d = 10 cent = $0.1
Penny, p = 1 cent = $0.01
Multiplying the number of each coin with its respective value ;
386(0.01) + 58(0.05) + 19(0.1)
$3.86 + $2.9 + $1.9
= $8.66
Changing it to dollar ,
$8.66 dollars = 8 dollars ;
$0.66 = 66 cents
4+2(7)=
Evaluate
can someone plz help im confused
Answer:
4+14= 18 this is the answer
Step-by-step explanation:
2(7)=14+4=18
you multiply the 2 and 7 and then add the 4
Answer:
18
Step-by-step explanation:
what this wants you do do is use PEMDAS. the number in parentheses always means to multiply. first youre gonna multiply 2 by 7 which gives you fourteen. then add 4 to 14 which gives you 18.
hope this helped! <3
The function a(h) below relates the area of a triangle with a given base 7 and the height of the triangle. It takes as input the height of the triangle and returns as output the of the triangle. an) - 7 Write the equation that represents inverse function, h(a), which takes triangles area as input and returns height of the triangle.
What is the value of 2/7 divided by 4/9
Answer:9
Step-by-step explanation:
dk
Answer:
its 0.642857 pls tell me if im wrong lol srry if it is
WEEEEEEEEEEEEEEEEEEEEEEE
Answer:
a^7/8^2
Step-by-step explanation:
Here, we want to write the expression using only positive exponents
An important rule for indices to use here is that;
a^-b = 1/a^b
thus;
8^-2 = 1/8^2
So we have;
1/8^2 * a^7
= a^7/8^2
what is 246 588 rounded to the ten thousands place
9514 1404 393
Answer:
250,000
Step-by-step explanation:
The thousands digit is more than 4, so the ten-thousands digit is increased by 1 before digits to its right are replaced by zeros. The rounded number is ...
250,000
I dont think this is right PLEASE HELP ASAP!!!! thank you so so so much!!! *will give brainliest*
Answer:
i got -2.093 repeating
Step-by-step explanation:
multiply -2 and 3.14 then divide by - 3 sorry if not right
The width of a rectangular frame is 8 inches and the diagonal length of the frame is 17 inches. What is the length of the frame in inches?
Please help if you can. :) ASAP
Answer:
380 ft squared
Step-by-step explanation:
20 times 25 = 500 ft squared
but since there is air
12 times 10 = 120 ft squared
500 - 120= 380 ft squared
Can someone help me?
Answer:
Its the third one
Step-by-step explanation:
Find the value of x.
I need a bit of help!
Answer:
The correct answer is where red goes to orange.Blue goes to green and yellow goes to green
Answer:
The correct answer is where red goes to orange.Blue goes to green and yellow goes to green:
1) Alex bought some chips and pop for his class party. He bought a total of
32 items. Each bag of chips cost $0.75 and each bottle of pop cost $2.19.
He spent a total of $39.84. How many bags of chips and how many bottles
of pop did he buy?
Answer:
21 bags of chips and 11 bottles of pop
Step-by-step explanation:
(0.75 × 21)+(2.19 × 11) = $39.84
Answer:
18
Step-by-step explanation:
Divide the 39.84 to 2.19 because the question was find how much pop bought
What is the slope and y-intercept of the following graphed Line?
Triangle ABC has vertices at A(1, 2), B(4,6), and C(4,2) in the coordinate
plane. The triangle will be reflected over the x-axis and then rotated 180°
about the origin to form a A'B'C'. What are the vertices of A'B'C'?
A. A'(1, -2), B'(4, -6), C'(4,-2)
B. A'(-1, -2), B'(-4,-6), C'(-4,-2)
C. A'(-1,2), B'(-4, 6), C'(-4,2)
D. A'(1, 2), B'(4, 6), C'(4,2)
Answer:
c
Step-by-step explanation:
Can someone Find the AB to this
Answer:
AB = 12.5
Step-by-step explanation:
BX is an altitude and a median. That means that triangle ABC is isosceles.
AB = CB
AB = 12.5
help will mark brainliest plz plz plz
hope it will help you..............
Answer:
4.3
Step-by-step explanation:
subtract CD from CZ to find DZ
this is the same thing as CZ - CD = DZ
substitute in our values: 6.7 - 2.4 = DZ
you get DZ = 4.3
If you have 5 dimes and one quarter and gave one of your dimes to your best friend, how much money do you have?
Answer:
65 Cents
Step-by-step explanation:
Deena had 30 dollars to spend on 3 gifts. She spent 10 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did she have left for gift C?
Answer:
$14.41
Step-by-step explanation:
5.45+10.14=15.59 30-15.59=14.41
Which of the polygons has the greatest area?
Group of answer choices
A square with side length of 4.6 inches.
A triangle with a base of 7.18 inches and a height of 5.4 inches.
A parallelogram with a base of 5.875 inches and a height of 3.5 inches.
A rectangle that is 3.25 inches wide and 6.1 inches long.
Answer:
A triangle with a base of 7.18 inches and a height of 5.4 inches
Step-by-step explanation:
You have to multiply 7.18 by 5.4
7.18*5.4=38.772
If you do the math to the other equations, they are all less then the triangle.