Find the area of the shaded region of circle F below. Round your answer to the
nearest tenth if necessary.
Answers
Check the picture below, so the shaded area is really just the area of one quarter of a circle's area with a radius of 7, and a triangle whose base is 7 and height is 7, so let's simply sum both of them up.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{quarter of a circle}}{\cfrac{1}{4}(\pi)(7)^2}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(7)(7)}}\implies \cfrac{49\pi }{4}~~ + ~~\cfrac{49}{2}~~ \approx~~63.0[/tex]
Related Questions
What is the other factor of 6x2 – 7x 2? 3x – 2 3x – 1 3x 1 3x 2.
Answers
The quadratic polynomial 6x² – 7x + 2 has factors (3x – 2) and (2x – 1). Then the correct option is A.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The quadratic polynomial is 6x² – 7x + 2.
On factorization, we have
6x² – 7x + 2
6x² – (4 + 3)x + 2
6x² – 4x – 3x + 2
2x(3x – 2) –1(3x – 2)
(3x – 2)(2x – 1)
The factor is (3x – 2).
More about the factorization link is given below.
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A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability
distribution below?
Probability Distribution
PX)
OND
.li.
Answers
Complete question:
A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability
distribution below?
Grade(X)_____ 1_____2_____3_____4_____5
Frequency____3 _____5____ 9 ____ 5 ____ 3
P(X) : _______ 0.1 ___0.2 ___0.4 ___ 0.2 __0.1
Answer:
3
Step-by-step explanation:
Given the probability distribution :
Grade(X)_____ 1_____2_____3_____4_____5
Frequency____3 _____5____ 9 ____ 5 ____ 3
P(X) : _______ 0.1 ___0.2 ___0.4 ___ 0.2 __0.1
The mean of the distribution :
Σ(X * P(X)) :
(1*0. 1) + (2 * 0.2) + (3 * 0.4) + (4 * 0.2) + (5 * 0.1)
0.1 + 0.4 + 1.2 + 0.8 + 0.5
= 3
Answer:
the mean is 3
answer choice D
Erin is studying the area and population of different states. A. What is the difference in total area of Alaska and Connecticut? Express your answer in scientific notation. Show your work or explain your answer. B. What is the difference in total population of California and Alaska? Express your answer in scientific notation. Show your work or explain your answer.
Answers
Answer:
A. Total area of Alaska is considerable larger than total area of Connecticut.
B. Population of California is considerably larger that population of Alaska.
Step-by-step explanation:
A. What is the difference in total area of Alaska and Connecticut?
According to the US government, total areas of Alaska and Connecticut are 663,268 square miles ([tex]6.633\times 10^{5}[/tex] square miles) and 5,567 square miles ([tex]5.567\times 10^{3}[/tex] square miles), respectively.
The difference between both quantities is:
[tex]x = 6.633\times 10^{5}\,mi^{2}-5.567\times 10^{3}\,mi^{2}[/tex]
[tex]x = 6.577\times 10^{5}\,mi^{2}[/tex]
Which means that total area of Alaska is considerable larger than total area of Connecticut.
B. What is the difference in total population of California and Alaska?
According to the US government, total populations of California and Alaska are 39,512,223 people ([tex]3.951\times 10^{7}[/tex] people) and 710,249 people ([tex]7.103\times 10^{5}[/tex] people), respectively.
The difference between both quantities is:
[tex]x = 3.951\times 10^{7}\,people - 7.103\times 10^{5}\,people[/tex]
[tex]x = 3.880\times 10^{7}\,people[/tex]
Which means that population of California is considerably larger that population of Alaska.
please can you help me with this question.
thank you.
Answers
Answer:
Follow the steps shown below.
Step-by-step explanation:
12cos(30)+2tan(60)
[tex]12*\frac{\sqrt{3} }{2} + 2\sqrt{3}[/tex]
[tex]6\sqrt{3} + 2\sqrt{3}[/tex]
[tex]8\sqrt{3}[/tex]
[tex]\sqrt{64*3}[/tex]
[tex]\sqrt{192}[/tex]
Need these also any help
Answers
==============================
Explanation:
For problem 1, we will plot a closed circle at x = -2 to include this value in the shaded solution set. We include it because of the "or equal to". The shading is to the right because of the "greater than". So we're describing all x values that are either equal to -2 or larger than -2. You could say "x is -2 or larger".
---------------------
In problem 2, we'll exclude the endpoint since we don't have "or equal to". We shade to the left to visually show all values smaller than 3.
---------------------
In problem 3, we follow the same idea as the last problem. We have an open hole to exclude the endpoint and shade to the right of 12 to describe all values larger than 12.
---------------------
With problem 4, we now include the endpoint again. This is similar to problem 1. We shade to the left to describe x values that are either -15 or smaller.
The figure shows the measurements, in inches, of a rectangular prism.
A rectangular prism has a height of 8 inches, length of 7 inches and a width of 7 inches.
What is the volume of the prism?
Answers
Answer:
8×7×7 diameters should be accurate
What are the values of a and b?
Answers
Answer:
A=44 B=68
Step-by-step explanation:
There are two congruent sides, therefore the corresponding angles are also congruent.
Answer:
a and b both are 56 degree
Step-by-step explanation:
this is due to it's isosceles triangle. So, we take (180-68):2
The temperature in the desert is often two times as hot in the day as it is
at night. d = temperature during the day n = temperature at night
d = 2n
n = 2.0
O d = 2 + n
What’s the answer
Answers
Answer:
A
Step-by-step explanation:
state the slope and y-intercept of the graph of 9-x=2y
please explain how you got your answer. Thank you.
Answers
Answer:
slope: -1/2
y-int: 9/2
Step-by-step explanation:
rearrange 9-x=2y into slope-intercept form: y=mx+b (m being slope and b is y-intercept)
2y = -x + 9
divide both sides by 2 to isolate the y and get:
y = -x/2 + 9/2
m (slope) = -(1)/2
b (y-int) = 9/2
Lincoln wants to sort 18 plums into bags so that each bag contains the
same number of plums.
He wants to end up with more than one bag of plums, and he wants each
bag to contain more than one plum.
Work out all the possibilities for the number of plums he could put into each
bag.
Answers
Work your way up from least to greatest with different possibilities.
Since there has to be more than one bag, and more than one plum in each bag, we can skip to have two bags.
1st solution: 2 bags with 9 plums in each bag.
Now we can try with 3 bags.
2nd solution: 3 bags with 6 plums in each bag.
4 can not be spread out evenly without there being halves of plums and things like that, neither can 5, so we can try with 6 bags.
3rd solution: 6 bags with 3 plums in each bag.
7 can not be spread out evenly without there being halves of plums and things like that, neither can 8, so lets try with 9 bags.
4th solution: 9 bags with 2 plums in each bag.
I think these are all the solutions, so I hope you understand and get the right answer!
What is 32 divided by 616? step by step answer please
Answers
as a simplified fraction, the answer is 4/77
as a decimal it is about 0.0519480519480519
helppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
2: 4/2 is 2
3: 4/3 is 1 1/3
4: 4/4 is 1
5: 4/5 is .8
x y y/x
2 2 4/2
3 1 1/3 or 1.333... 4/3
4 1 4/4
5 4/5 or 0.8 4/5
Hope this Helped! :)
-SGO
Express as a product:
[tex]1-4sin^2\alpha[/tex]
Answers
Answer:
(1 - 2sinα)(1 + 2sinα)
Step-by-step explanation:
1 - 4sin²α ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
1 - 4sin²α
= 1² - (2sinα )²
= (1 - 2sinα)(1 + 2sinα)
239 students went on a field trip. Six
buses were filled and 17 students traveled
in cars. How many students were in each
bus?
Answers
Answer:
37
Step-by-step explanation:
239-17=222
222/6=37
37
What is y+3=-(x-5) written in standard form
Answers
Answer:
the answer would be 3x+y-15
17/8 and 1/2 a proportional
Answers
Answer:
no
Step-by-step explanation:
17/8 = 2.125
1/2 = 0.5
Two ratios are proportional if they are equal.
17/8 and 1/2 are note equal, so they are not proportional.
which one of given below is not polynomial?
(a) X2- 2.5
(b) √+1
(C) 3x-1/3
(d) x+ √3
Answers
Answer:
B
Step-by-step explanation:
it's just option B because it is only root
Answer:
the answer would be B. (2.5, -0.5)
plug the possibilities in and solve. just because it works for one, it doesn't mean that it will work for both.
3 (2.5) - (-0.5) = 7.5 + 0.5 = 8
(2.5) + (-0.5) = 2.5 - 0.5 = 2
i hope i helped. :)
Step-by-step explanation:
Read more about system of equations at:
brainly.com/question/12895249 if im wrong
1 3 17 115
To find the next term the rule is
multiply by a and then subtract b, where a and b are integers.
Find the values of a and b.
Answers
Answer:
32 is the values 21 is the integers
Step-by-step explanation:
that's may answer ty hope it's help
Please help me, I don't know this one.
Answers
find the area A of JKL with vertices J(-5,5) K(0,9) L(3,5)
Answers
Answer:
Now suppose that x1,y1 , x2,y2 , , xn,yn are the vertices of a polygon (with positive orientation). The area of the polygon is A 1 2 C xdy ydx 1 2 x1y2 x2y1 x2y3 x3y2 xny1 x1yn . The problem asks us to find the area of the pentagon with vertices 0,0 , 2,1 , 1,3 , 0,2 , and 1,1 .
Step-by-step explanation:
The area of the given triangle JKL is 16 units square.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Given vertices form a triangle in the coordinate plane ;
Base = 3 + 5 = 8 units
Height = 9 - 5 = 4 units.
Since the area of a triangle is given as (1/2) × base × height.
So,
Area = (1/2) × 8 × 4 = 16 unit square.
Hence "The area of the given triangle JKL is 16 units square".
For more about triangles,
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tara just bought her first car in order to commute to college, a used RAV4 the value of the car today id 13,000$ but will lose 11% of its value each year for the next several years. Down the road tara will trade the rav4 in for a down payment on a newer car if she trades in her car 4 years from now how much will it be worth y=a(1-r)^x
second part: tara decides to keep the car for a few years longer if she decides to trade in her car 8 years from now how much will it be worth y=a(1-r)^x
PLEASEE NEED ASAP
Answers
Answer:
The value of the car today is $13,000, but will lose 11% of it's value each
Which products result in a difference of squares? check all that apply. (5z 3)(–5z – 3) (w – 2.5)(w 2.5) (8g 1)(8g 1) (–4v – 9)(–4v 9) (6y 7)(7y – 6) (p – 5)(p – 5)
Answers
Option second [tex]\rm (w-2.5)(w+2.5)[/tex] and option fourth [tex]\rm (-4v-9)(-4v+9)[/tex] are the products that result in a difference in squares.
It is required to identify which products result in a difference in squares.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We know that:
[tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]
In option first:
[tex]\rm = (5z+3)(-5z-3)\\\rm = -(5z+3)(5z+3)\\\rm = -(5z+ 3)^2[/tex]
Which is not the difference between squares.
In option second:
[tex]\rm=(w-2.5)(w+2.5)\\\rm =(w^2-2.5^2)[/tex]By using [tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]
It is the difference between squares.
Similarly, in option third:
[tex]\rm =(8g+1)(8g+1)\\\rm =(8g+1)^2[/tex]
It is not the difference between squares.
Similarly, in option forth:
[tex]\rm = (-4v-9)(-4v+9)\\\rm = (4v+9)(4v-9)\\\rm = (4v)^2-9^2[/tex]
It is the difference between squares.
Similarly, in option fifth:
[tex]\rm = (6y+7)(7y-6)\\\rm = 42y^2+13y-42[/tex]
It is not the difference between squares.
Similarly, in option sixth:
[tex]\rm =(p-5)(p-5)\\\rm =(p-5)^2[/tex]
It is also not the difference between squares.
Thus, option second and option fourth are correct.
Learn more about polynomial here:
brainly.com/question/17822016
What is the greatest common factor of 24 and 60
Answers
Answer:
12 is the GFC.
Step-by-step explanation:
24 - 8, 3, 4, 6, 2, 12, 1, 24
60 - 10, 6, 2, 30, 20, 3, 5, 12, 4, 15
The greatest common factor of 24 and 60 is 12
What is greatest common factor?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
For us to find the greatest common factor we need to find the common factors between the numbers.
The factors of 24 = 1,2,3,4,6,8,12 and 24
The factors of 60 = 1,2,3,4,5,6,12,15,30 and 60.
The common factors are ;
1,2,3,4,6 and 12
And the greatest common factor is 12. because it is the highest factor.
learn more about greatest common factor from
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A student is setting up a relay race around the perimeter of a
9
park. The perimeter of the park is mile. She wants to
10
3
place a marker every mile along the race course. How
10
many markers will she place along the race course?
Answers
Answer:
Step-by-step explanation:
place a marker every mile along the race course. How
help..The temperature outside is -5 degrees and rises 15 degrees. what is the temperature now
Answers
Answer: 10 degrees
Step-by-step explanation:
-5+15=10
Helppp meeeee with question 1 or can the all pleaseeee !!!
Answers
Answer:
1. 2c+9=m
Step-by-step explanation:
In a café there are 5 different sandwiches, 4 different desserts and 6 different drinks. Two of the desserts are sugar-free and three of the drinks are sugar-free. A meal combination is selected at random work out the probability that both dessert and drink are sugar free
Answers
Answer:
the probability that both dessert and drink are sugar free = ¼
Step-by-step explanation:
We are told that there are 5 different sandwiches, 4 different desserts and 6 different drinks.
Now, since Two of the four desserts are sugar free, then the probability that the dessert chosen is sugar free is;
P(desert sugar free) = ½
Now, three of the the 6 drinks are sugar free, then the probability that the drink chosen is sugar free is;
P(drink sugar free) = 3/6 = ½
Thus, the probability that both dessert and drink are sugar free is;
P(both sugar free) = ½ × ½ = ¼
Please help I need this before 8:00
Answers
Answer:
c/d = 5x/3
Step-by-step explanation:
Given :-
c/d - a/b = x
a = 2c
b = 5d
To Find :-
Value of c/d in terms of x
Solving :-
Substitute value of a and b.
c/d - 2c/5d = x
3c/5d = x
c/d = 5x/3
Solution :-
c/d = 5x/3
Carly made her uncle a quilt. The width is 7 2 5 ft and the length is 5 1 2 ft. What is the area of the quilt?
Answers
Answer:
2474
Step-by-step explanation:
(725 x 2) + (512 x 2)
(1450)+(1024)
=2474
does anyone wanna see a cute face?
Answers
Answer:
Step-by-step explanation:
Yes