Answers
Answer:
a) True
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0[/tex]
Step-by-step explanation:
Step(i):-
Given that the definite integration
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha[/tex]
we know that the trigonometric formula
sin²∝+cos²∝ = 1
cos²∝ = 1-sin²∝
step(ii):-
Now the integration
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha = \int\limits^\pi _0 {(\sqrt{cos^{2} \alpha } } \, )d\alpha[/tex]
= [tex]\int\limits^\pi _0 {cos\alpha } \, dx[/tex]
Now, Integrating
[tex]= ( sin\alpha )_{0} ^{\pi }[/tex]
= sin π - sin 0
= 0-0
= 0
Final answer:-
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0[/tex]
Related Questions
A pair of adjacent angles are SUR and _____. They are adjacent because they ______.
Answers
Answer/Step-by-step explanation:
Adjacent angles share a common side and also have the same vertex.
One of the angles that are adjacent to <SUR is <NUR.
Therefore:
A pair of adjacent angles area <SUR and <NUR.
They are adjacent because they have the same vertex and share the same side.
Orphia bought a coffee table for $200. The sales tax on the purchase was $19. Find the sales tax rate (in %).
Answers
Answer:
9.5%
Step-by-step explanation:
19/200=.095 or 9.5%
What is 2+2???? very hard question I know that's why I need help.
Answers
Answer:
4
Step-by-step explanation:
Answer:
yes to get this answer u need to use ur brain
take 2 and 2
then see how many are there in all so it's 4
So u should mark me as brainlist
63/4 divided by 41/2
Answers
Answer:
63/328
Step-by-step explanation:
Help me get these please
Answers
Answer:
10 degrees BELOW = -10
50°F = 50
A LOSS of 20 = -20
Altitude: 15000
35 ft BELOW = -35
120 ft BELOW = -120
I need help pls pls pls
Answers
Answer:
e. 55 miles hope that helped
Hope this helps
The sum of two numbers is 7 and the difference of their squares is 105. Find the numbers. If there
In simplest form.
more than one pair, use the "or" button. Give the answer
In simplest form
Answers
Answer:
11 and -4
Step-by-step explanation:
Let the required two numbers be x and y
If the sum of two numbers is 7, then
x + y = 7 .. 1
If the difference of their squares is 105, then;
x² - y² = 105 ...2
From 1;
x = 7 - y... 3
Substitute 3 into 2;
(7-y)² - y² = 105
Expand
49-14y+y² -y² = 105
49-14y = 105
-14y = 105 - 49
-14y = 56
y = -56/14
y = -4
Substitute y = -4 into 3
x = 7 - y... 3
x = 7 - (-4)
x = 7+4
x = 11
Hence the numbers are 11 and -4
A rectangle with sides 11 cm and 9 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.
Answers
Answer:
the length will be 9cm because a square has equal sides it not the same as the rectangle
The sales tax in your city is 8.8% and an item cost $63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
Answers
Answer:
5.54 in tax
Step-by-step explanation:
63 x .088=5.54
5x^2y + 6x^2y^3 - 3x^3y^2=0
Answers
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
The brick fire ring measures sixteen feet across the center. What is the circumference of the fire ring to
the nearest tenth?
Plan:
Calculations:
Answers
Answer:
50.3 ft
Step-by-step explanation:
circumference = 2nr
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = 16/2 = 8
2 x 22/7 x 8 = 50.3ft
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Please help me I'm so bad at math and doing AFDA really doesn't help..
substitution of a,b,c in this equation
Answers
Answer:
2, 1 and -3
Step-by-step explanation:
Given the quadratic expression
x^2+2x = 3
Write in standard format
x^2+2x-3 = 0
Get the value of a, b and c
The standard form is ax^2+bx+c = 0
ax^2 = x^2
a = 1
bx = 2x
b = 2
c = -3
Substitute into the general formula
x = -b±√b²-4ac/2a
x = -2±√(2)² - 4(1)(-3)/2(1)
The correct values are the values in bold format
Solve the equation for X.
X
12
4
Answers
Answer:
x=16
Step-by-step explanation:
The given line passes through the points and (4, 1).
On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (, 3)?
Answers
9514 1404 393
Answer:
y +3 = 1/2(x +4)
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2
The point-slope form of the equation for a line is ...
y -y1 = m(x -x1)
Filling in the known values, this is ...
y -(-3) = 1/2(x -(-4))
y +3 = 1/2(x +4)
Answer:
B
Step-by-step explanation:
A golf cart priced at $5,600 was on sale for 20% off. The sales tax rate is 6%. What is the sale price of the golf cart, including tax?
Answers
Answer:
4,748.80
Step-by-step explanation:
GIVE BRAINLIEST. Select the correct answer.
What is the value of x in the figure?
X
40°
70°
O A.
40°
O B.
70°
O C.
80°
OD
120°
O E.
150°
Answers
Answer:
E. 150°
Step-by-step explanation:
By exterior angle theorem:
[tex]x = 40 \degree + (70 - 180) \degree \\ x= 40 \degree + 110 \degree\\ x= 150 \degree[/tex]
WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED
Answers
Answer: 8.6
Step-by-step explanation:
Using pythagorean theorem, c²=a²+b² you can find the distance between AB.
c²=7²+5²
c²=74
√c²=√74
c=8.6
What is the surface area of this design?
Answers
Answer:
210
Step-by-step explanation:
Answer:
The answer is 197
Step-by-step explanation:
I saw this on another question so I hope you trust that this is the right answer
Anyone know the answer?
Answers
Answer:
12.4
Step-by-step explanation:
Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.
To the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip?
Answers
Answer: $16.60
Step-by-step explanation:
Price + Tax = 12.35+0.93
Total + tip = 13.28+3.32
total: 16.60
The total money did Carl pay for breakfast including the price of his meal, sales tax, and tip $16.60
We have given that,
Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.
We have to determine the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip.
What is the formula for the total money?Total money=price + tax
Price + Tax = 12.35+0.93
Total + tip = 13.28+3.32
Total money =16.60
To learn more about the money visit:
https://brainly.com/question/25711082
#SPJ2
WHAT IS THE AREAAAA HEELLPPPP!!!!
Answers
Answer:
D , i think.
pir^2 = 100pi
100pi/8 is about 13 pi
13 pi is about 39
Please help me with number 3
Answers
Answer:
441 square feet
Step-by-step explanation:
Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a
table. Determine how many dots are above each data value in a line plot of this data.
Weights of Potatoes (in pounds)
5
8
8
2
5
1
1
3
2
2
4
1
3
1
8
4
2
1
3
3
2
4
8
The value will have
1
dots above it.
1
dots above it.
The value will have
The value will have
3
dots above it.
The value will have
2
dots above it.
Answers
Answer:
The value
1
8
will have
1
dots above it.
The value
1
4
will have
2
dots above it.
The value
3
8
will have
3
dots above it.
The value
1
2
will have
5
dots above it.
The value
5
8
will have
2
dots above it.
The value
3
4
will have
3
dots above it.
Step-by-step explanation:
I took the test
Help pls! I need help to finish :(
No Links!
Answers
7 4/8 is also 7.5
Will give brainliest for correct answer
Answers
Answer:
A function is a rule that assigns to each input exactly one output.
Step-by-step explanation:
If you have more than one of the same inputs for multiple outputs, it would create a vertical line at somepoint on your line.
Answer:
The correct answer is "a rule that assigns to each input exactly one output".
Step-by-step explanation:
In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from real numbers to real numbers.
simplify 3 upon 10 + 4 upon 5
3^10 + 4^5
Answers
60073
explanation
3^10 + 4^5 = 60073
Level 5:
C. Two motorcycles start at the same point. One travels 15 km due north and stops while the other travels 32 km due west
and stops. Which value is closest to the distance between the motorcycles when they are both stopped?
A. 28.3 km
B. 47.0 km
C. 35.3 km
D. 21.9 km
Answers
The Distance between the motorcycles is 35.3 km
Pythagoras theorem shows the relationship between sides in a right angled triangle.
The distance moved north, distance moved west and the distance between the motorcycles form a right angled triangle.
distance between the motorcycles² = distance moved north² + distance moved north²
Distance between the motorcycles² = 15² + 32²
Distance between the motorcycles² = 1249
Distance between the motorcycles = 35.3 km
Hence the Distance between the motorcycles is 35.3 km
Find out more at: https://brainly.com/question/10040532
HALP!!!!!!!!!!!!!!!!!!
If a quadratic function has roots 2 and -7, what are the factors of the function?
Answers
Single term algebraic expression is called?
Monomial
Binomial
Trinomial
None of these
also I am groot friend me
Answers
[tex]single \: term \: expression \: is \: called[/tex]
[tex]monomial[/tex]
I need help figuring out the input and output and I have been struggling with it so muchh!!
Answers
Answer:
4=4
5=9
Step-by-step explanation: