5. (09.06 MC)
The graphs of the polar curves r = sin e-2 and r = cos(20 + 3) are shown.
Find the area of R, which is the region inside r = sin 6-2, but outside r = cos(20 + 3). (10 points)
31.416
12.566
15.708
0 25.133
Answer:
12.566
Step-by-step explanation:
A = ∫1/2(r)^2dtheta from a - b = 0 to 2π
∫1/2(sin^2theta-4sintheta+4)dtheta
[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…
when you solve this you get 14.137 without taking out the cos(2theta+3)
if 5-3(2a+1)=-4+10, what is the value of a+2
[tex]\\ \rm\Rrightarrow 5-3(2a+1)=-4+10[/tex]
[tex]\\ \rm\Rrightarrow 5-6a-3=6[/tex]
[tex]\\ \rm\Rrightarrow -6a+2=6[/tex]
[tex]\\ \rm\Rrightarrow -6a=6-2[/tex]
[tex]\\ \rm\Rrightarrow -6a=4[/tex]
[tex]\\ \rm\Rrightarrow a=\dfrac{4}{-6}[/tex]
[tex]\\ \rm\Rrightarrow a=\dfrac{2}{-3}[/tex]
Now
[tex]\\ \rm\Rrightarrow a+2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2}{-3}+2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2-6}{-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-4}{-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]
Answer:
7/3
Step-by-step explanation:
5 - 3(2a+1) = -4 + 10
=> 5 - 6a + 3 = 6
=> 5 - 6 + 3 = 6a
=> 2 = 6a
=> 6a = 2
=> a = 2/6
=> a = 1/3
a + 2
1/3 + 2
=> 1/3 + 6/3
=> 7/3
A prisoner is planning to escape from prison! The prison s gate consists of horizontal and vertical bars that are spaced one unit apart so the area of each hole between the bars is 1 x 1. The prisoner manages to remove certain bars to make some bigger holes. Determine the area of the largest hole in the gate after the bars are removed in java
Answer:
2
Step-by-step explanation:
Write a two-step equation and solve.
Four more than six times a number is 22
Five less than eleven times a number is 50
Seven less than nine times a number is -16
Step-by-step explanation:
1) let number=a
six times a number=6a
Condition:
6a+4=22
2) eleven times a number=11a
Condition:
11a-5=50
3) 9 times a number=9a
Condition:
9a-7=-16
Note:if you need to ask any question please let me know.
Evaluate the expression
Step-by-step explanation:
this is correct answer thank you
What do these have in common??
Answer:
They can all be simplified to 2/3
Use the number to add the fraction: -5/8 + 3/4: *
Use the number ine to add the fraction
2
1
1
1
5
-
-
-
O
2
-9/10
-4/5
-1/8
1/8
2/5
1/2
7/10
Answer:
c
Step-by-step explanation:
thats the anser
pelase asnwer da question
Answer:
D
Step-by-step explanation:
I think its D because you multiple the number that is out of the the bracket with the numerators..
so its
a^4/b^12
what is the length of an arc subtended by an angle of 1.25 radians in a circle with a diameter of 24 cm?
Answer:
15 cm.
Step-by-step explanation:
Recall that the arc-length of a circle is given by the formula:
[tex]\displaystyle s = r\theta[/tex]
Where r is the radius and θ is the measure of the central angle in radians.
The circle has a diameter of 24 cm, so its radius is 12 cm.
And its central angle is 1.25 radians. Hence, the arc-length will be:
[tex]\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}[/tex]
In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.
4. Tabatha is dining out at Mandee's and decides to get an order of curly fries,
chicken fingers, and a coca-cola. The total cost of the food with sales tax came to
$18.61. If Tabatha decides to give the cashier a 20% gratuity (tip), what does her
total bill come to?
SfGnjjjksksjnshshdhsjsjskakajaja
Answer:
7.4641
Step-by-step explanation:
Tavon has a gift card for $65 that loses $3 for each 30-day period it is not used. He has another gift card for $55 that loses $2.50 for each 30-day period it is not
used
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30-day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation)
Answer:
a. 65 - 3 x = 55 - 2.5 x
ab. 20
b. 5
Step-by-step explanation:
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
What is a linear equation?The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let x be the number of days and y be the value of the card.
Tavon has a gift card for $110 that loses $2.50 for each 30-day period it is not used. He has another gift card for $90 that loses $2 for each 30-day period it is not used. Then the equations will be
y = 110 - 2.5x ...1
y = 90 - 2x ...2
From equations 1 and 2, we have
110 - 2.5x = 90 - 2x
20 = 0.5x
x = 40
And the value of y will be
y = 110 - 2.5(40)
y = 110 - 100
y = $10
The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal value, will be $10.
More about the linear equation link is given below.
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Multiply
(s - 5)(2s + 7)
(s - 5)(2s +7)=[ (Simplify your answer.)
(Answer quickly)
Answer:
Step-by-step explanation:
f: s*2s = 2s^2
o: s*7 = 7s
i: -5*2s = -10s
L: -5*7 = - 35
Combine
2s^2 - 3s - 35
Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.
I give brainlist helPPPPPP
Answer:
Step-by-step explanation:
25.57, 123/5, 49/2, 241/10
union and intersection of sets
Answer:
The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.
Answer:
UnionThe union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.
IntersectionIntersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.
(3 x 9) - (3 x 4) = ? x (9 - 4)
Answer:
15
Step-by-step explanation:
3×9 =27
3×4= 12
27-12= 15
:) hope it helps
The sum of a number and 3 is 6 less than twice that number.
Solve
Answer:
there are two operation end modes [ = , < ]
so, it remains an expression
Step-by-step explanation:
let the number be x :
[tex] \{(n + 3) = 6 \} < 2n[/tex]
The solution of the written expression, ''The sum of a number and 3 is 6 less than twice that number'' is 9.
Here,
The written expression, ''The sum of a number and 3 is 6 less than twice that number''.
We have to solve this expression.
What is Mathematical expression?
An expression consists of one or more numbers or variables along with one more operation.
Now,
Let a number is x.
By the given written expression, we can write the mathematical expression as,
x + 3 = 2x - 6
By solving;
x + 3 = 2x - 6
3 + 6 = 2x - x
9 = x
x = 9
Hence, the value of written expression is x.
Learn more about the mathematical expression visit:
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Please help me I nned help
Answer:
length*breadth*height
y=-4x+3 4x-2y=6 need help now!
Answer: (1, -1) or x = 1, y = -1
find the y-intercept and x-intercept of the line. 2x+3y= -14
Answer:
X-intercept: (-7, 0)
Y-intercept: (0, -14/4)
Step-by-step explanation:
To find the intercepts plugin 0 for one variable and solve
2x+3(0)=-14
x=-7
2(0)+3y=-14
y=-14/3
A room has to be painted and worker A does 1/3 of the work then leaves. Next worker B does 1/4 of the remaining work and then leaves and finally worker C does 1/5 of the remaining work and then leaves.
What fraction of the room still needs to be painted?
a)3/5
b)2/5
c)13/60
d)7/15
Here, we are given that a room is painted by A, B and C so here three of them have done the work. So, we'll add all these fractions and assume the total work as 1 after that we will substract all the added ones from 1
Let us assume the room completely painted be 1
Now,
A has done 1/3, B has done 1/4 and C has done 1/5 work of the remaining
So, let us add them
A + B + C ⅓ + ¼ + ⅕Getting the L.C.M. The L.C.M of 3,4,5 is 60
20/60 + 15/60 + 12/6047/60Hence, 47/60 room has been painted
Remaining to paint
Total is assumed as 1
Work done = 47/60
Fraction of room needs to painted = 1 - 47/60
(60 - 47)/6013/6013/60 of the room needs to be painted, OPTION C IS CORRECT
Bernadette is a goalie and blocks the goal 20 out of 32 times. What is the experimental probability that Bernadette will block the goal on the next kick? Write your answer as a fraction, decimal, and percent.
Answer:
5/8 or 0.625 or 62.5%.
Step-by-step explanation:
20/32 Divide top and bottom by 4:-
= 5/8.
Complete the following equation using <, >, or =
7 _ 24/4
A. =
B. >
C. <
Answer:
7 > 24/4
Step-by-step explanation:
7 _ 24/4
Simplify 24/4
24/4 = 6
7 is greater than 6
7 > 24/4
7 is greater than the fraction 24/4 so we use the ">" symbol between them. Hence, the complete equation is 7 > 24/4.
Comparison of two numbers involves determining the relationship between them. Here are a few possible outcomes when comparing two numbers:
1: If the first number is greater than the second number, we can say that the first number is "greater than" or "larger than" the second number.
2: If the first number is less than the second number, we can say that the first number is "smaller than" or "less than" the second number.
3: If the first number is equal to the second number, we can say that the numbers are "equal" to each other.
The given numbers are:
7 and 24/4
To compare these numbers,
Convert the fraction 24/4 into the simplest form
Therefore,
[tex]\frac{24}{4} = 6[/tex]
Now since 7 is greater than 6 so we use ">" between them.
Hence,
The complete equation will be 7 > 24/4.
To learn more about the fraction visit:
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Can anyone help me out with this? (recursive formulas)
Step-by-step explanation:
[tex]b(1) = 4[/tex]
Since this is an arithmetic sequence, notice that if you subtract b(1) (i.e., 4) from b(2)(i.e., 22), you get 18. Likewise, if you subtract b(2) from b(3) you also get 18. Therefore,
[tex]b(n) = b(n-1) + 18[/tex]
Alea needs 20.5 pints of blueberries to make jam. She picked 7.75 pints on Friday and 425 pists on Saturday. How many more pints does she need to pick? A. 85 pints B.X25 pints C. 11.5 pints D. 11.75 pints
Answer:
A 8.5 pints
Step-by-step explanation:
Devaughn is 6 years younger than Sydney. The sum of their ages is 46 . What is Sydney's age?
52
if im wrong, sorry
if im right, yay
Write 52,640 in scientific notation. Please
Answer:
5.264 * 10^4
Step-by-step explanation:
We put a decimal point to the right of the number, so
52640.
Then we move it to the left until we get a number that is between 1 and 10.
5.2640
This was four hops to the left.
We can remove the trailing 0, and write
5.264 * 10^4
10^4 because of the four hops
Answer:
5.264×10^4
Step-by-step explanation:
10^4 = 10,000 x 5.264 = 52,640
write two ratios that are equivalent to 1:1
Answer:
2:2 3:3
Step-by-step explanation:
a long distance runner ran 10,000 meters in 28mins.work out his speed in (a)meters/min B. meters/sec
answer:
Times it or multiply to get 2800000 then It should be B meter's by seconds.
Step-by-step explanation:
