FIND THE AREA OF THE SEGMENT AYB. IF RADIUS OF THE CIRCLE IS 21cm AND ANGLE AOB= 120 DEGREE ( use pie= 22/7)
PLZ answer very urgent
Answers
Answer:
The area of the segment AYB is 271.0413985 cm²
Step-by-step explanation:
The rule of the area of a sector is A = [tex]\frac{\alpha }{360}[/tex] × π r², where
α is the central angle of the sectorr is the radius of the circleThe area of a triangle is A = [tex]\frac{1}{2}[/tex] × s1 × s2 × sinФ
s1 and s2 are two sides of the triangleФ is the included angle between s1 and s2∵ Area of the segment AYB = Area the sector AOB - Area ΔAOB
∵ The radius of the circle is 21 cm
∴ r = 21 cm
∵ The central angle of the sector is 120°
∴ α = 120°
∵ π = [tex]\frac{22}{7}[/tex]
→ Substitute them in the rule of the area of the sector to find it
∵ Area sector AOB = [tex]\frac{120}{360}[/tex] × [tex]\frac{22}{7}[/tex] × (21)²
∴ Area of sector AOB = 462 cm²
∵ OA and OB are the radii of the circle
∴ s1 = OA and s2 = OB
∴ s1 = s2 = 21 cm
∵ The angle included between them is 120°
∴ Ф = 120°
→ Substitute them in the rule of the area of the triangle to find it
∵ Area of the Δ = [tex]\frac{1}{2}[/tex] × 21 × 21 × sin(120)
∴ Area of the Δ = 110.25√3 cm²
∵ Area of the segment AYB = Area the sector AOB - Area ΔAOB
∴ Area of the segment AYB = 462 - 110.25√3
∴ Area of the segment AYB = 271.0413985 cm²
Related Questions
A person invests 3000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 6500 dollars?
Answers
t=amount of time in years
%=growth rate
f(t)=total
f(t)=p(1+%)^t
6500=3000(1+.04)^t
Solve for t
6500/3000=(1.04)^t
*Logs*
Log (13/6) = 19.7138...
1.04
Rounded to nearest 10th
t = 19.7
Answer:19.4
Step-by-step explanation:
A=P(1+\frac{r}{n})^{nt}
A=P(1+
n
r
)
nt
A=6500 \hspace{15px} P=3000 \hspace{15px} r=0.04 \hspace{15px} t=?
A=6500P=3000r=0.04t=?
n=4\text{ (quarterly)}
n=4 (quarterly)
6500=3000(1+\frac{0.04}{4})^{4t}
6500=3000(1+
4
0.04
)
4t
6500=3000(1.01)^{4t}
6500=3000(1.01)
4t
\frac{6500}{3000}=\frac{3000(1.01)^{4t}}{3000}
3000
6500
=
3000
3000(1.01)
4t
2.1666667=(1.01)^{4t}
2.1666667=(1.01)
4t
\log(2.1666667)=\log((1.01)^{4t})
log(2.1666667)=log((1.01)
4t
)
\log(2.1666667)=4t\log(1.01)
log(2.1666667)=4tlog(1.01)
Power Rule.
\frac{\log(2.1666667)}{4\log(1.01)}=\frac{4t\log(1.01)}{4\log(1.01)}
4log(1.01)
log(2.1666667)
=
4log(1.01)
4tlog(1.01)
t=\frac{0.3357921}{0.0172855}
t=
0.0172855
0.3357921
t=19.42624\approx 19.4 \text{ years}
t=19.42624≈19.4 years
IGNORE EVERYTHING BUT THE EQUATION WHOEVER ANSWERS FIRST GETS BRAINIEST ANSWER
Answers
Answer:
−35.948187
Step-by-step explanation:
3x+5=23 how would I solves this
Answers
Answer:
x = 6
Step-by-step explanation:
3x + 5 = 23
you wanna subtract 5 from both sides
3x = 18
now you wanna divide 3 from both sides to get x by itself
x = 6
and thats your answer hope that helped :)
A bike shop rents each of its mountain bikes for a one-time $4.00 insurance charge plus $2.50 per hour
relationship between the total cost, y, to rent a bike for 3 hours.
Graph
Answers
Answer:
$11.50
Step-by-step explanation:
I did give an explanation here but some one deleted it. :( I will attach the graph below though.
PLEASE HELP I'M GETTING GRADED ON THIS!!!!
Is this function even, odd, or neither and why?
Answers
Answer:
I'm reallly sorry if this is wrong, but I believe it is neither
Step-by-step explanation:
Odd and even functions need to exhibit some sort of reflection symmetry across the x axis (i think--we are learning this rn) and the graph does not seem to show this so i believe it is neither... i could be wrong thooughh
4/11 + 3/4 also 8/9 - 2/5 and 2 1/4 + 3 3/8 what is the answer
Answers
Answer:
1 5/44, 22/45, 5 5/8
Step-by-step explanation:
Pls give brainliest
can someone plz help me solve this equation :)
6 - (3x + 10) + 4(2 - x) = 15
a) 12 - 7x = 15
b) 4 - 4x = 15
c) 4 - 7x = 15
Answers
Answer:
4 - 7x = 15
Step-by-step explanation:
6 - 3x -10 + 8 - 4x = 15
4 - 7x = 15
The perimeter of the rectangle below is 64 units. Find the length of side CD.
Write your answer without variables.
Answers
Answer:
CD = 18 units
Step-by-step explanation:
Given a rectangle with length x and width y, the perimeter is:
P = 2x + 2y
Here, we note that x = AB = CD, y = AD = BC, and P = 64 units. So:
2AB + 2BC = 64
We know that AB = 3z and BC = 2z + 2; plug these in:
2 * (3z) + 2 * (2z + 2) = 64
6z + 4z + 4 = 64
10z = 60
z = 6
Now that we've solved for z, we can find AB and, hence, CD because AB = CD.
AB = 3z = 3 * 6 = 18 units
Thus, CD = 18 units, as well.
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answers
Answer:
x= 45
Step-by-step explanation:
the total amount of degrees in a triangle is 180 degrees, so by subtracting 75 and 60 from 180, you'll get 45. :)
Answer:
x=45
cvghjklkjhgfdsdfghjkijuhgtfdfghjki
Determine whether the lines with the given slopes are parallel, perpendicular, or neither.
m1=−4 & m2=14
Answers
Answer:
Parallel
Step-by-step explanation:
Answer:
NeitherStep-by-step explanation:
Parallel lines have same slope, perpendicular lines have negative reciprocal slopes
Given slopes of -4 and 14 are neither same not negative reciprocal, therefore the answer is neither
gabe's party will cost $12 if he invites six friends how many friends can Gabe invite if you spend $18
Answers
Answer:
i dont like gabe, hes mean to me >:(
Step-by-step explanation:
so no, i wont go to his party :))
Answer:
7
Step-by-step explanation:
Solve the simultaneous equations
5
x
+
2
y
=
11
−
5
x
+
4
y
=
13
Answers
Answer:
its 13
Step-by-step explanation:
are u try to find out what x and y equal
Lisa read 45 pages in eight minutes how many minutes would it take her to read 36 pages
Answers
Answer:
4 1/2 minutes
Step-by-step explanation:
A consumer organization estimates that over a 1-year period 18% of cars will need to be repaired once, 7% will need repairs twice, and 3% will require three or more repairs. If you own two cars, what is the probability that a) neither will need repair? b) both will need repair? c) at least one car will need repair?
Answers
Answer:
(a) 0.5184
(b) 0.0784
(c) 0.4816
Step-by-step explanation:
According to the given estimation over a 1-year period, 18% of cars will need to be repaired once, 7% will need repairs twice, and 3% will require three or more repairs.
So, the probability that a car need repair once = 18/100=0.18 ...(i)
The probability that a car needs repair twice = 7/100=0.07 ...(ii)
The probability that a car needs repair thrice or more = 3/100=0.03 ...(iii)
From equations (i), (ii), and (iii), the probability that a car needs repair = (0.18+0.07+0.03) = 0.28 ...(iv)
The probability that a car doesn't needs repair = 1-(0.18+0.07+0.03)= 1-0.28=0.72 ....(v)
Given that I own two cars, denoting the cars by A and B.
(a) The probability that neither will need repair=(Probability that car A doesn't need repair) and (Probability that car B doesn't need repair)
=0.72 x 0.72 [ from equation (v)]
=0.5184
(b) The probability that both will need repair = (Probability that car A needs repair) and (Probability that car B needs repair)
=0.28 x 0.28 [ from equation (iv)]
=0.0784
(c) The probability that at least one car will need repair= 1 - (The probability that neither will need repair)
=1-0.5184 [ by using part (a)]
=0.4816
x^2-12x+__=(x-__)2
what’s the answer??
Answers
Answer: The answer is x=0
Step-by-step explanation:
Rewrite the equation as a trinomial.
x 2 + 12 x + 0
Move 0 to the right-hand side.
x 2 + 12 x = 0
Divide the coefficient of the x
-term by 2, then square the result. Add the result to both sides.
12 /2 = 6 ;6^2 = 36
x 2 + 12 x + 36 = 36
Factor the perfect square trinomial
x 2 + 12 x + 36
on the left-hand side.
( x + 6 ) 2 = 36
Take the square root of both sides and solve for x .
√ ( x + 6 )^ 2 = ± √ 36 =
x+ 6 = ± 6
x = − 6 + 6 = 0
x = − 6 − 6 = − 12
Check
If x = 0 :
( 0 ) ^2 + 12 ( 0 ) = 0
0 = 0
If x = − 12 :
( − 12 ) ^2 + 12 ( − 12 ) = 0
144 − 144 = 0
0 = 0
what is 15 percent 0f 75
Answers
just do 0.15 * 75
PLS HELP 100 POINTS The x-coordinate is ____
The y-coordinate is ___
The point is in quadrant ___
Answers
Answer: A y-coordinate is the second element in an ordered pair. When an ordered pair is graphed as the coordinates of a point in the coordinate plane, the y-coordinate represents the directed distance of the point from the x-axis. (-1,-4).
Step-by-step explanation:
Answer:
The x-coordinate is –4 . The y-coordinate is –1 . The point is in quadrant III .
Step-by-step explanation:
Which one should I choose
Answers
Answer:
3rd one
Step-by-step explanation:
A drive-in theater costs $20 per car, plus an additional fee of $4 per person. The cost, C, of the movie when p people are in the car can be represented by this equation: C = 20 + 4p Solve the equation for p to show How many people were in the car when the movie costed C dollars.
Answers
Answer:
[tex]P=\frac{C}{4} -5[/tex]
Step-by-step explanation:
Step one:
given
cost per drive= $20
additional fee per person= $4
let the number of persons be p
and the total cost be C
The total cost function is expressed as
[tex]C=20+4p[/tex]
Step two:
Required:
We want to make P subject of the cost function
Take 20 to the other side we have
C-20=4p
divide through by 4
P=C-20/4
simplify
P=C/4-5
[tex]P=\frac{C}{4} -5[/tex]
Of two consecutive integers, twice the smaller is four less than the greater. Find the integers. Provide and equation if you don't have a direct answer.
Answers
Answer:
The smaller integer is -3 and the greater integer is -2
Step-by-step explanation:
Equations
Let's call
x = the smaller integer
x + 1 = greater consecutive integer
The relationship between them is that twice the smaller is four less than the greater:
2x = x + 1 - 4
Subtracting x:
x = 1 - 4
Operating:
x = -3
x + 1 = -2
The smaller integer is -3 and the greater integer is -2
Find the units of displacement of the point (4,2) to get the image of (7,7). Chapter (transformation) (coordinates) (translation). Please answer my questions correctly. Unnecessary answers will be reported.
Answers
Answer:
The units of the displacement are (3, 5) → T (x + 3, y + 5)
Step-by-step explanation:
The rules of translation of a point
If the point (x, y) is translated h units to the right and k units up, then its image is (x + h, y + k)If the point (x, y) is translated h units to the right and k units down, then its image is (x + h, y - k)If the point (x, y) is translated h units to the left and k units up, then its image is (x - h, y + k)If the point (x, y) is translated h units to the left and k units down, then its image is (x - h, y - k)∵ Point (4, 2) is translated by (h, k)
∵ Its image is (7, 7)
∴ The x-coordinate of the point is increased from 4 to 7
∴ The point is translated to the right by h units
∵ 4 + h = 7
∴ h = 7 - 4 = 3
∴ The point is translated to the right 3 units
∵ The y-coordinate of the point is increased from 2 to 7
∴ The point is translated up by k units
∵ 2 + k = 7
∴ k = 7 - 2 = 5
∴ The point is translated up 5 units
∴ The point is translated 3 units right and 5 units up
∴ The units of the displacement are (3, 5) → T (x + 3, y + 5)
4 g = 16 g= please solve
Answers
Answer:
g=4
Step-by-step explanation:
Divide both sides
4g÷4 = 16÷4
Divide
G=4
A painting is made from three different colors whose ratios are as follows: 4 parts blue, 3 parts red, and 3 parts green. The blue part of the painting took 12 gallons of paint. How many gallons of paint were needed for the green part of the painting
Answers
Answer: 9 gallons
Step-by-step explanation:
Given: Ratio of colors in painting:
4 parts blue, 3 parts red, and 3 parts green.
Total parts = 4+3+3 =10
Fraction of blue = [tex]\dfrac{\text{Number of parts of blue}}{\text{total parts}}=\dfrac{4}{10}[/tex]
Since, Quantity of blue color used = 12 gallons
Let total quantity of color be x,
[tex]\dfrac{4}{10}x=12\\\\\Rightarrow\ x=\dfrac{120}{4}=30\text{ gallons}[/tex]
Total color used = 30 gallons
Color used for green part only = [tex]\dfrac{3}{10}\times30 = \text{9 gallons}[/tex]
Hence, 9 gallons of paint were needed for the green part of the painting.
Will give Brainliest!!!
Layla is going to drive from her house to City A without stopping. Layla plans to drive at a speed of 30 miles per hour and her house is 240 miles from City A. Write an equation for D,D, in terms of t,t, representing Layla's distance from City A tt hours after leaving her house.
Answers
Answer:
her distance would be 0 after 8 hours since 8*3 = 24 and just add a zeor behind the 24 from the 30
Step-by-step explanation:
Find the error & explain why it is wrong:
Answers
[tex]( { \frac{4 {x}^{3} }{ {y}^{4} }) }^{ - 2} = \frac{16x {}^{6} }{ {y}^{8} } [/tex]
[tex] \frac{(4 {x}^{3})^{ - 2} }{ { {(y}^{4} )}^{ - 2} } = \frac{16 {x}^{6} }{ {y}^{8} } [/tex]
[tex] \frac{ {16x}^{ - 6} }{ {y }^{ - 8} } = \frac{ {16x}^{6} }{ {y}^{8} } [/tex]
The power of -2 was mistook as 2.
Whats the distance (7,0) and (-8,45)
Answers
Answer:
[tex]d = 15\sqrt{10}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (7, 0)
Point (-8, 45)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-8-7)^2+(45-0)^2}[/tex]Subtract: [tex]d = \sqrt{(-15)^2+(45)^2}[/tex]Exponents: [tex]d = \sqrt{225+2025}[/tex]Add: [tex]d = \sqrt{2250}[/tex]Simplify: [tex]d = 15\sqrt{10}[/tex]Find the value of the expression. [(3/5)]-2
Answers
Answer:
-1.4
Step-by-step explanation:
Answer:
i think it's 1
A line passes through (-1, 3) and (p, 7) and has a slope of -4/3 Find the value of p.
Answers
slope= (x2-xl)(y2-y1)
Answer:
Step-by-step explanation:
y - 3 = - [tex]\frac{4}{3}[/tex] ( x + 1 )
y = - [tex]\frac{4}{3}[/tex] x - [tex]\frac{4}{3}[/tex] + 3
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{5}{3}[/tex]
7 = - [tex]\frac{4}{3}[/tex] p + [tex]\frac{5}{3}[/tex]
[tex]\frac{4}{3}[/tex] p = - 7 + [tex]\frac{5}{3}[/tex]
p = ( - [tex]\frac{16}{3}[/tex] ) × [tex]\frac{3}{4}[/tex] = - 4
Which of these ineqaulities are equivalent to r greater than -11? Check all that apply.
-r -33
-3r 33
Answers
Answer:
Are you sure this two are the only choice.
Step-by-step explanation:
And I think it the first one.
Answer:
can you rewrite your answer bc it makes not sense and there's only two answer choices so can you take a ss of your actual problem please and i'll do my best to answer it :)
HELP PLZZZSS EASYYYY 10 POINTS *easy*
Answers
Answer:
A. 3:30.
Step-by-step explanation:
180 is 90+90 so that would put it in 3:30.