Answer: 310.3° or 5.41 radians.
Step-by-step explanation:
The area of a circle of radius R is calculated as:
A = pi*R^2
Now, if we have a sector of an angle θ degrees, the area of that sector is:
A = (θ/360°)*pi*R^2
In this case, we know that:
R = 15yd
And the area of the sector is 609 yd^2
Then we can replace these two values in the equation to get:
609yd^2 =(θ/360°)*3.14*(15yd)^2
(609yd^2)*360°/(3.14*(15yd)^2) = θ = 310.3°
And we want the angle also in radians.
We know that:
3.14 rad = 180°
(3.14 rad/180°) = 1
Then:
310.3° = 310.3°*(3.14 rad/180°) = (310.3°/180°)*3.14 rad = 5.41 radians.
The measure of the central angle in degrees and radians are 310.32° and 5.42 rad respectively
Sector of a circle:Area = ∅/360 × πr²where
r = radius
∅ = central angles
Therefore,
609 = ∅ / 360 × 3.14 × 15²
609 = 706.5∅ / 360
219240 = 706.5∅
∅ = 219240 / 706.5
∅ = 310.318471338
∅ = 310.32°
1° = 0.0174533 rad
310.32° = ?
Angle in radian = 310.32° × 0.0174533 = 5.41610573 ≈ 5.42 rad
learn more on circles here; https://brainly.com/question/19340105?referrer=searchResults
Is of I ready please help me ?
Answer: N has to be a negative. hope this helps
Step-by-step explanation:
There are 600 performers in a dance recital. The ratio of men to women is 4:6. How many men performers were in the
dance recital?
it would be 240 men
Step-by-step explanation:
i took the same test
Answer:
240
Step-by-step explanation:
I took the same test just trust me
what mixed fraction is 1/3 of 100
Answer:
Step-by-step explanation:
You think about it or go search it up my guy.
which of the following is parallel to 8x+3y=1?
1. 3x-8y=1
2.3x+8y=5
3. 8x-3y=2
4.16x+6y=1
Answer:
4.16x+6y=1
Step-by-step explanation:
The given equation of the line is:
8x + 3y = 1
From this line, we need to re-arrange and write in the form of the equation of a straight line.
The equation of a straight line is given as:
y = mx + c
8x + 3y = 1
3y = -8x + 1
y = [tex]\frac{-8x}{3}[/tex] + [tex]\frac{1}{3}[/tex]
The slope of the line is [tex]\frac{-8}{3}[/tex]
Any line from the given choices that will be parallel to the is must have the same slope as it is.
That line is 16x + 6y = 1
6y = -16x + 1
y = [tex]\frac{-16x}{6}[/tex] + [tex]\frac{1}{6}[/tex]
y = [tex]\frac{-8x}{3}[/tex] + [tex]\frac{1}{6}[/tex]
someone help pls :p
(30PTS) What are the slopes of the asymptotes of a hyperbola with equation x^2/2^2-y^2/6^2=1
Answer:
2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.
Step-by-step explanation:
c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).
The slopes of the asymptotes of the hyperbola are +3 and -3.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The standard equation for a hyperbola with a horizontal transverse axis is:
[tex](x-h)^2/a^2 - (y-k)^2/b^2 = 1[/tex]
where (h,k) is the center of the hyperbola, "a" is the distance from the center to the vertices along the x-axis, and "b" is the distance from the center to the vertices along the y-axis.
Comparing this to the given equation:
[tex]x^2/2^2 - y^2/6^2 = 1[/tex]
We can see that h = k = 0, a = 2, and b = 6.
The slopes of the asymptotes are given by:
±(b/a)
So, the slopes of the asymptotes are:
±(6/2) = ±3
Therefore,
The slopes of the asymptotes of the hyperbola are +3 and -3.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ3
Help plz:)))I’ll mark u Brainliest
Answer:
ST = 8 m
Step-by-step explanation:
Since both triangles are congruent to each other, therefore their corresponding angles and corresponding side lengths would be equal to each other accordingly.
Side ST in ∆STU corresponds to side PQ in ∆PQR. ST = PQ.
Side PQ = 8 m
Therefore, side ST = PQ = 8 m
The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140
anyone can u please help me? lol
Answer:
-1/30
Step-by-step explanation:
just subtract then divide.
(this is simplest form)
nvm
my bad, i forgot some steps you can delete this answer if wanted.
5) If f(x) = 3x + 4, for which value of x does f(x) = 22
Answer:
6
Step-by-step explanation:
22 = 3x+4
subtract 4 from both sides
18 = 3x
divide both sides by 3
6 = x
Cuanto es 3entre 2.009
Answer:
~1.5
Step-by-step explanation:
3/2.009 = 1.493280238924838 = ~1.5
you see this guy...he needs help please help me
Answer:
the answer is 0.75c
Step-by-step explanation:
Hope this helps
-2n - 5 = 17 what does n=
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-2n-5=17 Equation/Question
Step 2
-2n-5=17 Simplify
-2n-5=17
Step 3
-2n-5=17 subtract 5
-2n=-22
Step 4
-2n=-22 Divide
answer
n=-11
Hope this helps
What value for x satisfies the equation below? 12(x-2)+3x=13(x+12)+10x
Answer: Exact Form: x = − 45 /2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
1. Anil runs around a square park of side 90 m. Rohan runs around a rectangular
park with length 50 m and breadth 40 m. Who runs more and by how much?
Pls Help ASAP Pls
Answer:
Anil runs more by 180m.
Step-by-step explanation:
Given that:
Length of side of square park = 90 m
We will find the perimeter.
Perimeter = 4s
Perimeter = 4(90) = 360 m
Measurements of rectangular parks = length 50 m and width 40 m
Perimeter = 2(Length + Width)
Perimeter = 2(50+40) = 2(90) = 180 m
360 m > 180m
Difference = 360 - 180 = 180 m
Hence,
Anil runs more by 180m.
PLEASE HELP WITH THIS I NEED TO PASS
Answer:
x = 0.1875
Step-by-step explanation:
first, you group up all of the same numbers or letters. (2x +2x)
then you solve the problem:
2x ^2 = 2x - 3
4x^2 = -3
16x = 3
16 16
x = 0.1875
Johnny gets $40 per week as an allowance. If he goes to the movies and spends $3 for popcorn and $5 on soda, what percent of his allowance did he spend? *
please brainlist who ever answers
Answer:
190 square inches
Step-by-step explanation:
Answer:
190
Step-by-step explanation:
Solve for x.
3x + 9
x=
33
27
30
Answer:
27
Step-by-step explanation:
3x + 9 = 90
3x = 90 - 9
3x = 81
x =27
PLEASE ASNWER ASASP for BRAINLEST!!!!!!!!!!!!!!!!!
The perimeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Find the width of the rectangle.
12.675 meters
25.35 meters
12.1 meters
24.2 meters
Answer:
12.1 meters. Hope this helped, would love brainliest!
Step-by-step explanation:
For this question we will have to try each option.
12.675+2.3=14.975 14.975+14.975+12.675+12.675=55.3 This ones not it.
25.35+2.3=28.65 28.65+28.65+25.35+25.35=108 This ones not it either.
12.1+2.3=14.4 14.4+14.4+12.1+12.1=53 THIS ONES IT!
we do not have to do the last one
Daniel has 120 dollars in the bank. He is earning 3.5% compound interest each month. How much money will he have in the bank in one year?
Answer:
$1813.28
Step-by-step explanation:
Answer:
$124.27
Step-by-step explanation:
A = Principal(1 + r/n)^nt
r = interest rate
n = # times compounded
t = # years
A = 120 (1 + .035/12)^12(1)
A = 120(1 + .0029)^12
A = 120(1.0029)^12
A = 120 x 1.0353
A = 124.27
HHHHHHEEEEEELLLLLPPPPPP!!!!!!!!!
Step-by-step explanation:
Area of Glass surface
= Area of Parallelogram - Area of Rectangle
= (20in * 16in) - (4in * 16in)
= 256in².
Hence it is 256 square inches.
P.S. Question photo got changed, ignore this.
Answer: The area of the figure is 32 square
plz mark brainly
help pls due today thanks
Answer:
4
Step-by-step explanation:
11.2/2.75=4.07272(repeating number)
Answer:
11 1/5 divided by 2 3/4:
11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3
The answer, therefore, should be fairly close to 12 ÷ 3
12 ÷ 3 is 4
Answer is 4
Step-by-step explanation:
here ya go bub! (pls mark me brainlest)
An online furniture store sells chairs for $200 each and tables for $650 each. The
store must sell no less than $12000 worth of chairs and tables each day. Write an
inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.
Answer: There’s alot of answers but one of the is 18 table with the cost of 11,700$ and 1 chair with 200$ so in totally it 11,900, less then 12,000
Step-by-step explanation:
Solve by multiplying digits of value and filling in zeros:
200 x 80 x 60
Answer:
down below:)
Step-by-step explanation:
200 times 80 times 60 is:
200 times 80 is 16000
16000 times 60 is 960000
what's a quarter after 9 in the morning??????
Answer:
9:15 a.m
Step-by-step explanation:
I need help with this, no matter how hard I do, I don't get the answer. 3 [ 10 ( 16 - 6 + 3 ) ] I don't know what the answer is.
the answer is 390
Step-by-step explanation:
don't ask how
natalie was out at a restaurant for dinner when the bill came. her dinner came to $29. after tipping in a tip, before tax, she paid $34.22. find the percent tip
Answer:
%18 tip
Step-by-step explanation:
The dinner cost was $29 before tip
after tip it was $32.22
34.22-29= $5.22 she tipped
$29 * %x = $5.22
After solving this equation, the x is %18
help plz///////...............
\
Answer:
3/4
Step-by-step explanation:
any thing in the form of y=mx+x,
mx is the slope
Find the distance between the points (3, 8) and (-1, 9). Round the distance to the nearest hundredth. 3.87 4.12 5.74 2.24
Answer:
≈ 4.12 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)
d = [tex]\sqrt{(-1-3)^2+(9-8)^2}[/tex]
= [tex]\sqrt{(-4)^2+1^2}[/tex]
= [tex]\sqrt{16+1}[/tex]
= [tex]\sqrt{17}[/tex]
≈ 4.12 ( to the nearest hundredth )
Answer:
The distance between given points is: 4.12 units
Step-by-step explanation:
Given points are:
(3, 8) and (-1, 9)
Here
[tex](x_1,y_1) = (3,8)\\(x_2,y_2) = (-1,9)[/tex]
The distance is calculated using the following formula:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting the values, we get
[tex]d = \sqrt{(-1-3)^2+(9-8)^2}\\d = \sqrt{(-4)^2+(1)^2}\\d = \sqrt{16+1}\\d = \sqrt{17}\\d = 4.123105...[/tex]
Rounding off to nearest hundredth
d = 4.12 units
Hence,
The distance between given points is: 4.12 units