Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answers
Answer:
The area of the shaded area is 27 [tex]\pi[/tex]
Step-by-step explanation:
The formula for the area of a circle is :[tex]\pi *radius^2[/tex]
To work this out you would first have to work out the area of the circle. You can do this by multiplying [tex]\pi[/tex] by the radius of 6 squared, this gives you 36[tex]\pi[/tex]. However the question is asking for that section of the circle.
To work out the area of the shaded section you will first have to look at the missing angle, as it is 90° . A circle has 360° and so if we divide 360 by 90, this gives us 4. This tells us that [tex]\frac{3}{4}[/tex] of the circle is shaded as [tex]\frac{1}{4}[/tex] is not.
To work out the area of the shaded area you would divide the area of the whole circle which is 36[tex]\pi[/tex] by 4, this gives us 9[tex]\pi[/tex]. This tells us the area of 1 quadrant of the circle.
The next strep is to multiply 9[tex]\pi[/tex] by 3, this gives us 27[tex]\pi[/tex]. This is because now that we know the area of one quadrant we can find the area of the shaded area which covers 3 quadrant of the circle.
1) Multiply [tex]\pi[/tex] by 6 squared.
[tex]\pi *6^2=36\pi[/tex]
2) Divide 360 by 90.
[tex]360/90=4[/tex]
3) Divide 36 [tex]\pi[/tex] by 4.
[tex]36\pi/4=9\pi[/tex]
4) Multiply 9 [tex]\pi[/tex] by 3.
[tex]9\pi*3=27\pi[/tex]
Answer:
27 pi
Step-by-step explanation:
Related Questions
help please!!!!!!!!!!
Answers
Answer:
[tex]15 × 10^{0}[/tex]
Step-by-step explanation:
5 × 10^-7 × 3 × 10^6
15 × 10^-1
= 1.5 × 10^0
Answer:
15 × 10^{-1} is the correct
Step-by-step explanation:
TeeVee Electronics, Inc., makes console and wide-
screen televisions. The equipment in the factory allows +
for making at most 450 console televisions and 200
wide-screen televisions in one month. It costs $600 per
unit to make a console television and $900 per unit to
make a wide screen television. The profit on each
console television is $125 per unit, while the profit for
each wide screen television is $200 per unit. During the -
month of November, the company can spend $360,000 to make these televisions. To
maximize profits, how many of each type should they make?
LET
Answers
Answer:
First we need to put all the given information in a table, that way we'll express it better into inequalities.
Cost Production Max.
Console screen (x) $600 450
Wide-screen (y) $900 200
$360,000
We have:
[tex]600x+900y \leq 360,000[/tex]
Because they can't spend more than $360,000 in production.
[tex]x\leq 450\\y\leq 200[/tex]
Because the number of television is restricted.
The profit function is
[tex]P(x,y)=125x+200y[/tex] (this is the function we need to maximize).
First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).
Now, we test each point in the profit function to see which one gives the highest profit.
For (300,200):
[tex]P(300,200)=125(300)+200(200)=37,500+40,000=77,500[/tex]
300 console screen and 200 wide screen give a profit of $77,500.
For (450,100):
[tex]P(450,100)=125(450)+200(100)=56,250+20,000=76,250[/tex]
450 console screen and 100 wide screen give a profit of $76,250.
Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,William earns $13 an hour working theater last week he worked h hours at the concession stand and three times as many hours at the ticket counter.Write and simplify an expression for the amount of money William earned last week.
PLEASE HELP IT IS DUE IN 30 min. And explain why
Answers
Williams earns $13
(h+3h)*13 = 4h*13 = $ 52h
please help i suck at math:'(
Answers
Answer: B 6400 m
Step-by-step explanation:
Evaluate the expression below for x = 2, y = –3, and z = –1.
A.
–23
B.
–5
C.
13
D.
27
Answers
Correct question:
Evaluate the expression below for x = 2, y = –3, and z = –1.
Given: [tex] x^2 z^2 -y^2(x+z) [/tex]
Options:
A.–23
B.–5
C.13
D.27
Answer:
B. -5
Step-by-step explanation:
In this question we are given the following values:
x = 2
y = -3
z = -1
Given the expression:
[tex] x^2 z^2 -y^2(x+z) [/tex]
To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively
Therefore,
[tex] x^2 z^2 -y^2(x+z) [/tex]
Substituting values, we have:
[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]
Simplifying, we have:
[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]
[tex]= [(4) (1)] - [(9)(1)] [/tex]
[tex]= 4 - 9[/tex]
= -5
The correct answer is option B
Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution?
pls help :)
Answers
To solve you can use inverse operations.
Here are the steps to find the answer:
1. Write out the equation: -6(x-2)+3x= -3(x+3) +21
2. Distribute both sides: -6x+12+3x= -3x-9+21
3. Simplify both sides: -3x+12=-3x+12
4. This equation is true for all values, or infinity, because the equation is the same on both sides
Let me know if you need further explanation. I hope this helps.
Please HELP!!!!!!!!!
Answers
Answer:
The sides are 3 and 9
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + (3x)^2 = (3 sqrt(10))^2
x^2 + 9x^2 = 9*10
10x^2 = 90
Divide each side by 10
x^2 = 90/10
x^2 =9
Take the square root of each side
x = sqrt(9)
x = 3
The sides are x=3 and 3x = 3(3) = 9
Answer: x=10
Step-by-step explanation:
Since the original statements were x, 3x, and 3[tex]\sqrt{x}[/tex], is already given as 10 in 3[tex]\sqrt{x}[/tex], therefore, 3x is 3*10 and x is 10
Question 1
2 pts
P is between Jand K. The distance between Jand Pis 7 more than 3 times the distance
between P and K. If JK = 55, what is PK?
Answers
Answer:
29
Step-by-step explanation:
Please help with this
Answers
Answer:
[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]
Step-by-step explanation:
A perfect square is a number that has two identical factors, meaning it can be square rooted. The numbers 64 and 100 are an example:
8 · 8 = 64
10 · 10 = 100
So when you take the square root of [tex]\frac{64}{100}[/tex], you get:
[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]
It doesn't say to simplify, so we can just leave it at that.
help quick!!!!?????
Answers
Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help
Answer:
none
Step-by-step explanation:
57+75+95= 227
24+70+75= 169
48+64+80= 192
19+27+80=73
A right triangle equals 180 degrees.
What is the least common multiple of 8, 12 and 16?
Answers
Answer:
b
Step-by-step explanation:
please help me please please please please
Answers
Answer: [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3}-(-5)=[/tex]
Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.
[tex]-\frac{2*3+1}{3} -(-5)=[/tex]
Solve;
[tex]-\frac{6+1}{3} -(-5)=[/tex]
[tex]-\frac{7}{3} -(-5)=[/tex]
Now, get rid of the two negatives by multiplying.
[tex]-\frac{7}{3} +5=[/tex]
Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.
[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]
To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.
[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]
Solve;
[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]
Subtract numerators and keep the same denominator.
[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]
Convert to a mixed number. To do this, first, divide:
8/3=2
6
----
2
The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]
20 points if you can help me with problem 2.
Answers
Answer:
3, 4, 5, 6, 7, 9, 10, 11
Step-by-step explanation:
Actually it's 10 points but whatever:
I number the figures like this:
1, 2, 3
4, 5, 6
7, 8, 9
3, 4, 5, 6, 7, 9, 10, 11 work because if you cut them out and glued the sides correctly, it will become a cube.
. A kite is in the shape of a parallelogram
with a 4.5 cm base and a height of
7.9 cm. What is the area of the kite?
Answers
Answer:
I believe the answer is 35.55 cm
Step-by-step explanation:
Answer:
35.55 cm
Step-by-step explanation:
To find the answer of this question is to use the method bxh.
4.5 cm
x 7.9 cm
----------------
35.55 cm
Angles
SU and VX are parallel line.
which angles are alternate exterior angles?
XWY and STR
XWY and VWT
XWY and VWY
XWY and XWT
Answers
I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.
Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.
A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.
The diagram below is divided into equal parts. Which shows the ratio of unshaded sections to shaded sections
Answers
Answer:
5 to 1.
Step-by-step explanation:
There are 5 unshaded and one shaded section so it's
5:1.
The ratio of unshaded sections to shaded sections is;
Option D; 5 to 1
We are told that the diagram is divided into equal parts.
Now, from the given, we can see that there are 6 equal parts. However, out of the 6 equal sections, only one section is shaded while 5 sections are unshaded.
This means that the ratio of unshaded sections to shaded sections is; 5 to 1.
In conclusion, the ratio of unshaded sections to shaded sections from the given diagram that was divided into equal parts is; 5 to 1.
Read more at; https://brainly.com/question/20094176
B
The measure of ZDAB equals 110° The
measure of ZACB equals 20°.
What is mZ ABC?
D
A
Enter your answer in the box
Answers
Answer:
Given
¯¯¯¯¯¯¯¯¯
D
A
C
is a straight line, we can say its full measurement is 180°. If we know a segment of this angle,
∠
D
A
B
, is 105°, we can know that the other segment
∠
B
A
C
must equal 75, since
105
+
75
=
180
.
Once we've found the measure of
∠
B
A
C
to be 75°, and given the measure of
∠
A
C
B
to be 35, we can then find the measurement of
∠
A
B
C
.
Since we know that the sum of any triangle's angles is 180°, we can then use these known measurements as I said above.
75
+
35
+
m
∠
A
B
C
=
180
110
+
m
∠
A
B
C
=
180
m
∠
A
B
C
=
70
Each big square below represents one whole.
What percent is represented by the shaded area?
Answers
Answer:
59%
Step-by-step explanation:
No. of squares in a whole = 10*10=100
No. of spaces shaded = 59
No. of spaces not shaded = 41
Hence, percent represented by the shaded area = 59%
Need Help ASAP it's due today. Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica's house? SHOW YOUR WORK. ( The teacher said to Plot a third point, connect the third point to make a right triangle, find the lengths of the legs of the triangle and then use the pythagorean theorem to find the distance between the gas station and Angelica's house). Only answer if you truly know how to solve this please. Will Mark Brainliest
Answers
Answer:
About 7.8 miles.
Step-by-step explanation:
We can use the distance formula to find the distance from the gas station to the house.
However, your teacher said to use the Pythagorean Theorem to find the distance.
Going by your teacher's preferred method:(4,3), (10,8), and (10,3) would make a right triangle.
[See Picture]
Angelica's house is at point (4,3). It is 6 units from our new third point.
The gas station is at point (10,8). It is 5 units form out new third point.
The legs are 5 and 6 units. The distance from the house to the gas station would be our hypotenuse.
Use the Pythagorean Theorem to find the length of the hypotenuse.
[tex]a^2 + b^2 = c^2\\\\\text {Replace a and b with the appropriate values: }\\6^2 + 5^2 = c^2\\\text {Solve: }\\6^2 + 5^2 = c^2\\6^2 = 36\\5^2 = 25\\\rightarrow 36 + 25 =c^2\\36 + 25 = 61\\\rightarrow 61=c^2\\\sqrt{61}=\sqrt{c} \\\boxed {7.81024967591=c}[/tex]
7.81024967591 ≈ 7.8
The hypotenuse is about 7.8.
Therefore, the distance between the gas station and Angelica's house should be about 7.8 miles.
Brainilest Appreciated!
Answer:
AG = 7,8
Step-by-step explanation:
Plot the third point at (10,3) and let's call it point B.
Now construct the right sided triangle A B G
With A = (4,3) , B = (10,3) and G = (10,8).
AB is horizontal so subtract the x coordinates of point A and point B. So AB has length 10 - 4 = 6
BG is vertical so subtract the y coordinates of point B and point G. So BG has length 8 - 3 = 5
Now use pythagorean theorem to calculate AG
In any right sided triangle you can use a² + b² = c²
In our case AB² + BG² = AG²
Substitute AB = 6 and BG = 5
6² + 5² = AG²
AG² = 6*6 + 5*5
AG² = 36 + 25
AG = + - SQRT(61)
{Only the + variant of the SQRT has a meaning here.}
AG = 7,81 rounded on one decimal AG = 7,8
Please round 0.02623 to the nearest hundred.
||||
Thank you guys! Please answer soon!
Answers
.03 is the answer. hope it help!:-)
Answer:
0.02623 rounds to 0.03
Step-by-step explanation:
ones. tenths hundredths thousands
we look at the thousandths place when rounding to the hundredths
the thousands place is 6 (which is 5 or greater) so we will round the hundreds place up 1
0.02623 rounds to 0.03
Identify the equation or inequality of the graph
A)2x-3y=6
B)3x+2y=-6
C)2x-3y=-6
D)3x-2y=6
Answers
Answer:b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Jael and Kelsey work at a bakery. Jael makes 8 cupcakes for every 5 cupcakes that Kelsey
makes. If Kelsey makes 175 cupcakes in one day, what is the total combined number of cupcakes that Kelsey and Jael make in one day?
Answers
Answer:
35
Step-by-step explanation:
175/5
Answer:
455 cupcakes
Step-by-step explanation:
If Jeal makes 8 cupcakes for every 5 cupcakes that Kelsey makes and Kelsey made 175 cupcakes then you divide 175 by 5 and you get 35. Then mulitply 35 by 8 and you will get 280. Lastly you add 175 and 280 and you will get 455.find the missing letter N if the width is 2ft and the area equal 28 sq ft
Answers
Answer:
Step-by-step explanation:
Area = 28 Sq.ft
length * width = 28
2 * n = 28
Divide both sides by 2
2n/2 = 28/2
n = 14 ft
When you graduate from high school, you deposit all of your graduation cash into an account earning 5% interest. Ten years from now you will have
$5000 in that account. How much money did you deposit?
Answers
Which of the following number lines represents the solution to m/-2 - 7 = -9?
Answers
Answer:
Step-by-step explanation:
Answer: m=1
Step-by-step explanation:
What is 1/2 of 7/8? In fraction firm
Answers
1/2*7/8=7/16
Answer:
7/16
The required fraction of 1/2 of 7/8 is given as 7/16.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
1/2 of 7/8 = 1/2 × 7/8
= 7 / 16
Thus, the required fraction of 1/2 of 7/8 is given as 7/16.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
0
5
10
15
20
25
5
10
15
20
25
5
10
15
20
25
5
10
15
20
25
Which box plot could represent this data?
Answers
Answer:
First box plot
Step-by-step explanation:
In the figure attached, the options are shown.
The left end of the box is the lower quartile (also called quartile 1 or Q1)
The right end of the box is the upper quartile (also called quartile 3 or Q3)}
The interquartile range (IQR) is computed as follows:
IQR = Q3 - Q1
If Q1 = 3 and IQR = 5, then Q3 = 5 + 3 = 8
The first box plot is the only one with a lower quartile of 3 and an interquartile range of 5
The box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).
What is Interquartile Range (IQR)?Interquartile range (IQR) of a data set is the distance between the lower quartile (Q1) and the upper quartile (Q3) on a box plot.
Thus, a box plot that has a lower quartile of 3 and interquartile range of 5 will have a distance of 5 from the lower quartile to the upper quartile.
Therefore, the box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).
Learn more about interquartile range on:
https://brainly.com/question/4102829
Jack divided his fortune of $92,000 into 8 equal parts. He gave 4 parts to his wife, 1 part to his son and divided the remaining 3 parts equally among 5 charities.
How much more money did his son get than each charity?
Answers
Answer:
4,600
Step-by-step explanation:
92,000/8= 11500
11500 x 4= 46000 to his wife
11500 for the son
92000-57500= 34500
34500/5= 6,900 each charity
11500-6900= 4600 is how more he is getting than each charity
Answer:
4600 more money
Step-by-step explanation:
92000 ÷ 8 = 11500
1 part to his son
3(11500)= 34500
34500 ÷ 5 = 6900
11500-6900= 4600
Sondra gets $75 a week, plus 10 percent of sales. Which equation best represents her salary? Group of answer choices
Answers
I do not know for sure
A student is ordering a flower arrangement. She can choose any combination of tulip and carnations for her flower arrangement , and she does not want to spend more than $45. If tulip cost $5 each and carnations cost $3 each, which inequality represents all possible combinations of x tulips and y carnations ? A. 5x + 3y < 45 B. 5x + 3y <= 45 C. 3x + 5y > 45 3x + 5y <= 45
Helppp!
Answers
Answer:
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Step-by-step explanation:
We are supposed to find inequality represents all possible combinations of x tulips and y carnations
Cost of 1 tulip = $5
Cost of x tulips = 5x
Cost of 1 carnation =$3
Cost of y carnations = 3y
We are given that she does not want to spend more than $45.
So, She can spend less than or equal to 45
So, required inequality :[tex]5x+3x \leq 45[/tex]
So, Option B is true
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Answer:
it would be 5x + 3y <= 45
Step-by-step explanation:
I literally just did this question on my math homework and I got it right .
