HELP PLEASE 100 POINTS PLUS BRAINLIEST, (I had the answers already but some reason they got deleted
Answers
Answer:
[tex]\mathrm{11.\:}\frac{176}{5}\pi\:\mathrm{ft^2},\\\\\mathrm{12.\:}\frac{1573}{18}\pi\:\mathrm{mi^2},\\\\\mathrm{13.\:}\frac{269.08}{24}\pi\:\mathrm{km^2}\\\\\mathrm{14.\:}\frac{252.05}{6}\pi\:\mathrm{cm^2}\\\\\mathrm{15.\:}\frac{870.75}{72}\pi\:\mathrm{yd^2}\\\\\mathrm{16.\:}\frac{5953.48}{36}\pi\:\mathrm{m^2}[/tex]
Step-by-step explanation:
The area of a sector can be given as:
[tex]\frac{c^{\circ}}{360^{\circ}}\cdot r^2\pi[/tex], where [tex]c[/tex] is the angle of the sector in degrees.
Problem 11:
[tex]\frac{88^{\circ}}{360^{\circ}}\cdot 12^2\pi=\fbox{$\frac{176}{5}\pi\:\mathrm{ft^2}$}[/tex]
Problem 12:
[tex]\frac{260^{\circ}}{360^{\circ}}\cdot 11^2\pi=\fbox{$\frac{1573}{18}\pi\:\mathrm{mi^2}$}[/tex]
Problem 13:
Convert radians to degrees:
[tex]\frac{7\pi}{12}\cdot\frac{180}{\pi}=105^{\circ}[/tex]
[tex]\frac{105^{\circ}}{360^{\circ}}\cdot 6.2^2\pi=\fbox{$\frac{269.08}{24}\pi\:\mathrm{km^2}$}[/tex]
Problem 14:
Convert radians to degrees:
[tex]\frac{5\pi}{3}\cdot \frac{180}{\pi}=300^{\circ}[/tex]
[tex]\frac{300^{\circ}}{360^{\circ}}\cdot 7.1^2\pi=\fbox{$\frac{252.05}{6}\pi\:\mathrm{cm^2}$}[/tex]
Problem 15:
[tex]\frac{215^{\circ}}{360^{\circ}}\cdot 4.5^2\pi=\fbox{$\frac{870.75}{72}\pi\:\mathrm{yd^2}$}[/tex]
Problem 16:
Convert radians to degrees:
[tex]\frac{13\pi}{18}\cdot\frac{180}{\pi}=130^{\circ}[/tex]
[tex]\frac{130^{\circ}}{360^{\circ}}\cdot 21.4^2\pi=\fbox{$\frac{5953.48}{36}\pi\:\mathrm{m^2}$}[/tex]
Related Questions
A 12 foot ladder leans against a building at a 75 degree with the ground. Which equation below can be used to find how high the ladder reaches up the side of the building
Answers
Answer:
[tex] \huge\boxed{\sin(75°) = \frac{x}{12}} [/tex]
(B) is the right answer.sin(¢)=perpendicular/hypotenuse
A 12 foot ladder leans against a building at a 75 degree with the ground. Therefore ladder reaches approximately 11.59 feet up the side of the building.
Trigonometry, specifically the sine function, may determine how high the ladder is up the building. A right triangle's sine is the ratio of the opposing side's length to the hypotenuse. The ladder is the hypotenuse of the right triangle, and we want to find the ladder's height up the building's side.
Let's call the height h. The given information is that the ladder (hypotenuse) is 12 feet, and the angle between the ladder and the ground is 75 degrees.
Using the sine function:
sin(75 degrees) = opposite / hypotenuse
sin(75 degrees) = h / 12
Now, we can solve for h:
h = 12 × sin(75 degrees)
Using a calculator:
h = 12 × 0.96592582628 = 11.59 feet
So, the ladder reaches approximately 11.59 feet up the side of the building.
To know more about Trigonometry
https://brainly.com/question/13729598
#SPJ2
1 A farmer needs to plow a 8-acre field. She starts by plowing – of the field. 6 How many acres does the farmer plow?
Answers
Find the area of the structure.
Answers
Answer:
8/9 in squared
Step-by-step explanation:
because one block is 1/9, and there are 8
What is the slope of a line that is perpendicular to the graph ofy = 7x+1?
Answers
Answer: 4pi , second part is 5pi/2 + 4npi and third part is 7pi/2 + 4npi
Step-by-step explanation: Edge 2021
Which of the following is NOT equal to sin pi/3
A) sin 2pi/3
B) cos pi/6
C) cos 11pi/6
D) sin 4pi/3
Answers
Answer:
D) [tex]sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}[/tex]
Step-by-step explanation:
A)
[tex]sin(\frac{2\pi }{3} ) = sin ( \pi - \frac{\pi }{3} ) = sin\frac{\pi }{3}[/tex]
B)
[tex]cos (\frac{\pi }{6} ) = cos ( \frac{\pi }{2} - \frac{\pi }{3} ) = sin(\frac{\pi }{3})[/tex]
C)
[tex]cos (\frac{11\pi }{6} ) = cos ( \frac{3\pi }{2} + \frac{\pi }{3} ) = sin(\frac{\pi }{3})[/tex]
D)
[tex]sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}[/tex]
Find the value of b help me please
Answers
Answer:
[tex] b = \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \cos \: 60 \degree = \frac{b}{2 \sqrt{2} } \\ \\ \frac{1}{2} = \frac{b}{2 \sqrt{2} } \\ \\b = \frac{2 \sqrt{2} }{2} \\ \\ b = \sqrt{2} [/tex]
Answer:
sqrt(2)
Step-by-step explanation:
Can someone please help me solve this
Answers
Answer:
[tex]m\angle1=75^{\circ}[/tex]
Step-by-step explanation:
Solution 1:
[tex]m\angle1[/tex] is formed by a point that is on the circle. The angle encompasses an arc of [tex]150^{\circ}[/tex] and thus the measure of the angle formed is [tex]\frac{150}{2}=\fbox{$75^{\circ}$}[/tex].
Solution 2:
Since [tex]\angle 1[/tex] is adjacent to a line and encompasses an arc, we can set up the following proportion:
[tex]\frac{150}{360}=\frac{m\angle 1}{180}[/tex]
Solving, we get [tex]m\angle 1=\fbox{$75^{\circ}$}[/tex].
HELP HELP HELP
The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when it was alive.
t(c)=-3970.9(ln c)
Use function t to complete the statements.
A fossil with 47% of its carbon remaining is approximately how old
1. 2998
2 11,910
3 7550
A fossil that is 7000 years old will have approximately
1. .2%
2. 57%
3 17%
Of its carbon remaining.
Select the correct answers
Answers
Answer:
2998 ; 17%
Step-by-step explanation:
Given the function:
t(c)=-3970.9(ln c)
c = % of carbon remaining ; t = time
1.) c = 47% = 47/100 = 0.47
t(0.47) = - 3970.9(In 0.47)
t = - 3970.9 * −0.755022
t = 2998.119
t = 2998
B.)
t = 7000
t(c)=-3970.9(ln c)
7000 = - 3970.9(In c)
7000 / - 3970.9 = In c
−1.762824 = In c
c = exp(−1.762824)
c = 0.1715596
c = 0.1715596 * 100%
c = 17.156% ; c = 17%
Answer: For plato family
The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.
Use function t to complete the statements.
A fossil with 47% of its carbon-14 remaining is approximately
years old.
A fossil that is 7,000 years old will have approximately
17% of its carbon-14 remaining.
Step-by-step explanation:
The first box is 2,998
The second box is 17%
Write an equation of the line that has a slope of -5 and a y intercept of 4 in slope intercept form.
PLEASE HELP!!!
Answers
Hope this helps:)
m = slope
b = y-intercept
Ans: y = -5x + 4
Compare the values.
9 × 10^2 is _____ times as much as 3 x 10^-2.
A) 6 x 10^4
B) 3 x 10^-4
C) 3 x 10^4
D) 6 x 10^0
please i need help **Will mark BRAINLIEST**
Answers
he points in the table lie on a line. What is the slope?
Answers
Slope formula (y2-y1)/(x2-x1)
can someone help with 9-12 please ?
Answers
Answer:
9-12 is -3
Step-by-step explanation:
5. Following data indicates the number of vehicles arrived during past
100 days in a certain tolling station.
Vehicles
No. of days
0 - 10
3
10 - 20
14
20 - 30
53
30-40
20
40 - 50
10
Calculate average number of vehicles in a day,
Answers
Answer:
what are you supposed to do here?
Step-by-step explanation:
the quotient of 6 divided by the difference of 6 minus 3
Answers
9514 1404 393
Answer:
6/(6-3) = 2
Step-by-step explanation:
The expression is written as ...
[tex]\boxed{\dfrac{6}{6-3}}[/tex]
It evaluates as ...
[tex]\dfrac{6}{6-3}=\dfrac{6}{3}=\boxed{2}[/tex]
At a birthday party, 8
pizzas are ordered. If 12
people share the pizzas,
how much of a pizza will
each person receive?
Answers
0.75 pizza
Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.
Answer:
0.666667
Step-by-step explanation:
8 pizzas ÷ 12 people = 0.66667 pizzas for each.
find the number if 3 1/3 of it is 10
Answers
Answer:
3
Step-by-step explanation:
3×3=9+1=10
10/3×3=10
PLEASE ANSWER THIS, QUICK
Answers
Answer:
(x, y ) = ( - 3 , 14 )
Step-by-step explanation:
I hope this helps you. Best of luck.
7x + 6y = 63
+ - 5x - 6y = -69
—————————
2x = -6
Then divide both sides
x = -3
Then plug -3 back into one of the equations to find y
7(-3) + 6y = 63
= -21 + 6y = 63
—-> 6y = 84
Divide both sides
y = 14
The answer is (-3, 14)
Can someone do b and c for me please 10 points!!
Answers
Given, a=-3
a) 2a= 2 × -3 = -6
b) a^2= (-3)^2= 9
c) 3a^2= 3 × (-3)^2 = 3 × 9 = 27
Hope it helps uh.
first you do multiply both the a because a is in square then a x a so (-3 x-3) =6 answer is 6
then next is c
3a sq OK
3a sq = (3x-3) -3 x-3
answer is 81
Dan invests £1600 into his bank account. He receives 3.5% per year simple
interest. How much will Dan have after 2 years? Give your answer to the
nearest penny where appropriate.
Answers
Answer:
171200 pennies
Step-by-step explanation:
Amount after 2 years = Principal + Interest
Given
Principal = £1600
Rate = 3.5%
Time = 2years
Get the interest
Interest = PRT/100
Interest = 1600*3.5*2/100
Interest = 32 * 3.5
Interest = £112
Get the amount after 2 years;
Recall that:
Amount after 2 years = Principal + Interest
Amount after 2 years = 1600 + 112
Amount after 2 years = £1712
Hence the amount Dan will have after 2 years is £1712
1712 pounds = (1712 * 100)penny
1712 pounds = 171200 pennies
pls i need help due tonight
Answers
Answer:
-3/4
Step-by-step explanation:
-1 1/4 = -5/4
1/2 = 2/4
-5 + 2 = -3
-3/4
Answer: The answer is -3/4
Step-by-step explanation: covert the mixed numbers to improper fractions, then find the LCD and combine.
In the same circle or in congruent circles:
13
Chapter Reference
In the plane, if a line is perpendicular to a circle's radius at its outer endpoint, then the
line is ... to that circle
You have 1 attempt left to earn the full credit for this problem.
Answer: In the plane, if a line is perpendicular to a radius at its outer endpoint, then the line is Diames
to the circle
Diameter
GRADE ANSWER INCORRECT
Parallel
Secant
Symmetric matting?
Tangent
Answers
Answer:
tangent
Step-by-step explanation:
Hope this helps
Will mark brainliest!! Please do the two in green using cos!!
Answers
Answer: 23.36 and 46.67
Step-by-step explanation:
Number 1:
[tex]cos(32) = \frac{x}{28}[/tex][tex]cos(32)(28) = x[/tex][tex]23.36 = x[/tex]Number 2:
[tex]cos(57) = \frac{42}{x}[/tex][tex]cos(57)(x) = 42[/tex][tex]x= \frac{42}{cos(57)}[/tex][tex]x = 46.67[/tex]Will give Brainly
Find the measure of b.
Answers
Answer:
b= 90 degrees
Step-by-step explanation:
opposite sides
three-fourths of the sum of six times a number and twelve distribute
Answers
Answer:
Step-by-step explanation:
Let x be the number.
6 times the number = 6*x = 6x
Sum of 6 times of a number and twelve = 6x + 12
Three-fourths of the sum of 6 times of a number and twelve = [tex]\frac{3}{4}(6x +12)[/tex]
[tex]\frac{3}{4} ( 6x + 12) = \frac{3}{4}*6x + \frac{3}{4}*12\\\\[/tex]
[tex]= \frac{3}{2}*3x + 3*3\\\\=\frac{9}{2}x + 9[/tex]
Find the missing angle.
Answers
Answer:
[tex]m\angle XYV=135^{\circ}[/tex]
Step-by-step explanation:
Notice that [tex]m\angle XYV=m\angle XYW+m\angle VYW[/tex].
The diagram already marks [tex]m\angle VYW=80^{\circ}[/tex], so we just need to find [tex]m\angle XYW[/tex].
[tex]\angle TYU[/tex] and [tex]\angle XYW[/tex] are vertical angles, which means they are equal in measure.
Therefore,
[tex]m\angle TYU=m\angle XYW=6x+7[/tex]
Since there are [tex]180^{\circ}[/tex] on each side of a line, we have the following equation:
[tex]m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8[/tex].
Plugging in [tex]x=8[/tex], we have:
[tex]m\angle XYW=6(8)+7=55^{\circ}[/tex].
Therefore,
[tex]m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}[/tex].
out of 800 cards in a album each page of the album holds 8 cards if 66% of the album is empty how many pages are filled with cards
Answers
Answer:
ummm you are going to do terrible on on your test jk
Step-by-step explanation:
Solve the system by graphing x+y=2 and x-3y=18
Answers
What is 1+1=? HELP PLS
Answers
See 1 +0 is 1 so 1+1=2
In need of help with math question
Answers
Answer:
well whats the question?
Step-by-step explanation:
The height of a tree is one-half of the height of a tower.
Let m be height of tower. Write a variable expression for the height of tree.
Answers
Answer:
If d is the height of the tree: d = 1/2m
Step-by-step explanation: