Answers
To find the area of the shaded region, one must know the areas of the segment and the circle. We have radius which will give us access to area of circle and we have the angle 60 degrees with top of angle being the center of the circle and that will give us access to the area of the segment. Then we take take the difference and get area of shaded region.
So, first area of circle,
[tex]A_c=\pi r^2=\pi5^2=25\pi[/tex]
Then the area of the segment,
[tex]A_s=\frac{1}{2}r^2(\theta-\cos(\theta))=\frac{1}{2}5^2(\pi/3-\cos(\pi/3)=12.5(\pi/3-\frac{1}{2})=12.5\cdot\frac{2\pi-3}{6}=6.84[/tex].
Now subtract,
[tex]A=A_c-A_s=25\pi-6.84=71.7[/tex]
Hope this helps.
Related Questions
plss helppp meee i really need it
Answers
Answer: the answer will be (2,4)
Step-by-step explanation:
Step 1: Solve y=3x−2 for y:
y=3x-2
Step 2: Substitute 3x−2 for y in y−2=x:
y−2=x
3x−2−2=x
3x−4=x (Simplify both sides of the equation)
3x−4+−x=x+−x (Add -x to both sides)
2x−4=0
2x−4+4=0+4 (Add 4 to both sides)
2x=4
[tex]\frac{2x}{2} =\frac{4}{2}[/tex] (divide both sides by 2)
x=2
Step 3: Substitute 2 for x in y=3x−2:
y=3x-2
y=(3)(2)-2
y=4 (Simplify both sides of the equation)
Answer:
x=2 , y=4
chose < > = (brainliest)
Answers
Answer: 36 squared < 26/4
Step-by-step explanation:
simplified 36 squared is 6 and 26/4 is 6.5
hope this helps
stay safe and stay awesome :)
Ahmed an Art dealer earns 25% commission of the dollar value of the art pieces that he sells at the Gallery. Ahmed earns $10,000 this month , What is the total dollar value of the art that he sells? plz quick
Answers
Answer:
$40,000
Step-by-step explanation:
25% of x = $10,000
0.25x = 10,000
x = 10,000/0.25
x = 40,000
Answer: $40,000
Simplify. (x3 + 2x − 3)(x4 − 3x2 + x)
(please provide a step-by-step explanation and answer. I don't just need the answer I need to understand how to do this)
x12 − 3x6 − x4 + x3 + 3x2 − x
x12 − 3x6 − x4 + x3 − 15x2 − x
x7 − x5 − 2x4 − 6x3 + 11x2 − 3x
x7 − 5x5 − 2x4 − 6x3 + 11x2 − 3x
Answers
Step-by-step explanation:
x¹²-3x6-x⁴+2x⁴-6x³+2x²-3x⁴+9x²-3x
x¹²-3x6-2x⁴-6x³+11x²-3x
Monroe started saving money. Right now he
has $200 and every month he deposits $15.
Harry, on the other hand, has no desire to save
money. He currently has $300 and spends $10
each month. When will Monroe and Harry have
the same amount of money?
Answers
Answer:
After 4 months
Step-by-step explanation:
200+15+15+15+15=260
300-10-10-10-10=260
Answer:
They will have the same amount of money in exactly 4 months
What value of x makes the equation true?
a -3
b -1
c 3
d 1
Answers
Answer:
-3
Step-by-step explanation:
cause positive = negative
the answer is = negative
Find the value of x
X=
Answers
What is the value of x?
Answers
Answer:
w
Step-by-step explanation:
w
What is the measure of ÐRST?
Answers
the answer is C
hope that helped:)
HELP IM ON A TIME LIMIT
Answers
Answer:
its not c, i tink its b
Step-by-step explanation:
Can someone teach me how to do this? Please and thank you
Answers
Answer:
For the first one, put the input(0) in the place of x. This would make it look like this, 3x0+5
The x is a times sign, which was added when you add the number.
The rest goes like this,
3x0=0
0+5=5
Ouput= 5
9-3(y-2)=3-3y true or false
Answers
answer: false
distribute this and keep solving using PEMDAS:
9-3(y-2)=3-3y
= 9 - 3y + 6 = 3 - 3y
- - > 15 - 3y = 3 - 3y
this is false since when you solve you do not end up with the exact same expression.
What is the slope and y-intercept for this graph?
(sorry for lots of slope questions I'm still trying to figure it all out :( )
thank you guys
Answers
Slope formula:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
so then take two points : (0,0) and (5,4)
[tex]\frac{4 - 0}{5 - 0} = \frac{4}{5}[/tex]
Answer:
4/5
Answer:
Y-int: (0,0)
Slope: 4/5 or 0.8
Step-by-step explanation:
To find the Y-intercept, look at where the line crosses the y-axis(vertical).To find slope, select two dots from the line and do "rise/run" (rise is up/down while run is left/right)sorry im not rlly good at explaining but yeah
Find wx please help me!!
Answers
Answer:
33
Step-by-step explanation:
Please help me anyone
Answers
Answer:
the third one
Step-by-step explanation:
5.26 is less than 5.4
Answer:
5.26 < 5.4
Step-by-step explanation:
I hope it's okay that I didn't use the number line.
Try rounding the numbers. 5.26 would round to 5.3, which is less than 5.4. Therefore, the answer is 5.26 < 5.4.
A penny is 6×10
–
2 inches thick. The Empire State Building has a height of 1,250 feet, or 1.5×104 inches. How many pennies would you have to stack to reach the top of the Empire State Building?
Write your answer in scientific notation.
Answers
u are cheating we must help
Answer:
2.5x10^5
Step-by-step explanation:
2.
What is the amount of interest that Mee earns on the following deposit is
5720, interest rate is 3.2% each year, for 18 months Show your work
Answers
Answer:
$274.56
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3.2%/100 = 0.032 per year,
putting time into years for simplicity,
18 months ÷ 12 months/year = 1.5 years,
then, solving our equation
I = 5720 × 0.032 × 1.5 = 274.56
I = $ 274.56
The simple interest accumulated
on a principal of $ 5,720.00
at a rate of 3.2% per year
for 1.5 years (18 months) is $ 274.56.
please help and show work
Answers
Because corresponding parts in a similar polygon is in proportion, 18/12=x/5
12x=90
4x=30
2x=15
x=15/2
Done!
If you have any more questions about this problem just comment and I will answer it for you, also I would really really appreciate it if you give me brainlliest!
hey!! what is the value of
[tex]7 {}^{2} [/tex]
Answers
Answer:
7² = 49 ans
Step-by-step explanation:
7² == 49 ans .....
Answer:
49
Step-by-step explanation:
7² = 7 x 7 = 49
please help due in 5 min !!!!
Answers
Answer:
Down below. Hope this helps :)
Step-by-step explanation:
#1 A) The chance of an event happening
#2 B) The set of all possible outcomes of a probability experipment.
Is the ratio 15 : 12 equivalent to 5 : 3 and 10 : 6? Explain.
Answers
Answer:
Yes it is
Step-by-step explanation:
When we simplify 15:12, we receive 5:3
Therefore, 5:3 is equvilaent to 15:12
Using this unit ratio, we can solve for other rations
For example, 5:3, the unit ratio, times 2 is 10:6
5 * 2 = 10
3*2 = 6
10, 6 = 10:6
1. Find the area: 26 cm 39 cm
I need help
Answers
Answer:
507
Step-by-step explanation:
26 x 39 = 1014
/2
507
please help me I’m so desperate
Answers
A health club charges a one-time sign-up fee and a monthly membership fee. The equation y=24x+15y=24x+15 represents what the health club charges. Find the rate of change.
Answers
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The rate of change of the equation that represents the monthly fees and a one-time sign-up fee is 24.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: 2x + 3 = 4 is an equation.
We have,
y = f(x) = 24x + 15
A health club charges a one-time sign-up fee and a monthly membership fee.
We can see from the equation that,
Monthly membership fee = 24
One-time sign up fee = 15
x = number of months.
Now,
We will take two x values as:
x = 2
x = 5
The rate of change:
= f(5) - f(2) / (5 - 2)
= [(24x5 + 15) - (24x2 + 15)] / 3
= (120 + 15 - 48 - 15) / 3
= 72/3
= 24
Thus,
The rate of change of the equation that represents the monthly fees and a one-time sign-up fee is 24.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
The side length of an equilateral triangle is 6 cm. What is the height of the triangle?
I’m super confused !!
Answers
9514 1404 393
Answer:
(c) 3√3
Step-by-step explanation:
The altitude forms the long side of a 30°-60°-90° right triangle whose short side is 6/2 = 3 cm.
The ratios of side lengths in a 30°-60°-90° triangle are ...
1 : √3 : 2
Multiplying these ratio values by 3 gives the right triangle side lengths of ...
3 : 3√3 : 6
where 6 is the side length of the equilateral triangle. The length 3√3 is the altitude of that equilateral triangle.
The height of the triangle is 3√3 cm.
If a ∝ b and a = 18 when b = 3, then find a when b = 5.
Answers
Answer:
18 infinite 3
Step-by-step explanation:
a=18
b=3
The value of a is 30 when b = 5.
What is Direct Variation ?Direct Variation is when a variable varies directly with another variable.
It is given that
a ∝ b
a= kb
where k is the proportionality constant
a = 18 when b = 3
18 = k * 3
k = 6
Therefore from the equation , value of a can be obtained
for b = 5
a = 6 * 5
a = 30
Therefore the value of a is 30 when b = 5.
To know more about Direct Variation
https://brainly.com/question/14254277
#SPJ2
Just give me the answer
Answers
Answer:
1/32768
Step-by-step explanation:
I don't know how to explain it to you. I am sorry.
how is 2/3 equal 66.6? show your work!
Answers
Answer:
Step-by-step explanation:
Dividing 3 into 2 results in the infinite (repeating) decimal fraction 0.6666....
0 . 6
3 / 20
18
------------
20
and so on: this pattern repeats itself indefinitely
What is the length of BC in the right triangle below?
B
9
12
А
Answers
Using Pythagoras Theorem,
(AB)^2+ (AC)^2= (BC)^2
(9)^2+ (12)^2 = (BC)^2
81+144= (BC)^2
225= (BC)^2
BC= √225
BC= 15
Hope it helps you. Please mark brainliest.
i need help plzzzzzzzzzzzzz
Answers
Answer:
The answer is 6
Step-by-step explanation:
mark me as brainllest pls
Answer:I would say 6
Step-by-step explanation: