Answer:
[tex]x=a \cos t \implies \dfrac{dx}{dt}=-a \sin t[/tex]
[tex]y= a \sin t \implies \dfrac{dy}{dt}=a \cos t[/tex]
Using the chain rule:
[tex]\begin{aligned}\implies \dfrac{dy}{dx} & =\dfrac{dy}{dt} \times \dfrac{dt}{dx}\\\\& = a \cos t \times \dfrac{1}{-a \sin t}\\\\& = \dfrac{a \cos t}{-a \sin t}\\\\& = - \dfrac{\cos t}{\sin t}\\\\& = - \cot t\end{aligned}[/tex]
8. Which statement is an example of a transitive relationship?
O
If all b and b ll c, then a ll c.
If m 1n and m 1 p, then m ll p.
If x = 2y and 2y = 8, then x = 4.
If I m and m ll n, then I n.
O
Answer:
Transitive
If x = 2y and 2y = 8, then x = 4.
If Rita receives $63.90 Interest for a deposit earning 6% simple interest for 150 days, what is the amountof her deposit to the
nearest dollar (zero decimal place). Use a 360-day year. Enter only the number without $ sign
Answer: 2556
Step-by-step explanation:
Let the amount of the deposit be x dollars
The amount of simple interest earned can be represented by the formula PRT/100
Where,
P is the amount of deposit
R is the annual rate of interest
T is the time in years
Therefore,
P=x
R=6
T=150/360 = 15/36 = 5/12
So,
Simple interest = x(6)(5)/1200
63.90 = 30x/1200
63.90= x/40
x= 63.90×40
x=2556
Therefore, amount deposited = 2556
What is the perimeter of this triangle?
Answer: [tex]a+b+\sqrt{a^{2}+b^{2}}[/tex]
Step-by-step explanation:
The distance from (0,b) to (0,0) is b.
The distance from (0,a) to (0,0) is a.
Using the Pythagorean theorem, the distance from (0,b) to (a,0) is [tex]\sqrt{a^{2}+b^{2}}[/tex]
So, the perimeter is [tex]\boxed{a+b+\sqrt{a^{2}+b^{2}}}[/tex]
Sin 0 = -8/17 and cos 0 = 15/17 find tan0
Answer:
Step-by-step explanation:
Givens
sin(theta) = - 8/17
cos(theta)= 15/17
Tan(theta) = ?
Comment
Without using the Pythagorean Theorem, you could simply use tan(theta) = Sin(theta) / cos(theta)
Tan(theta) = sin(theta) / cos(theta)
Tan(theta) =[tex]\dfrac{\dfrac{-8}{17} }{\dfrac{15}{17} }[/tex]
Now turn the bottom fraction upside down and multiply.
Tan(theta) = [tex]\dfrac{-8}{17}*\dfrac{17}{15} = \dfrac{-8}{15}[/tex]
Answer Tan(theta) = -8/15
A cooler measures 8 inches by 8 inches by 3 inches. What is the surface area of the cooler?
2
in.
Answer: 192?
Step-by-step explanation:
i just think that that is the answer. you get the surface area by multiplying all of them just how you get area
PLEASEE
Solve
x=6
4x +y =20
Answer: y = -4
Step-by-step explanation:
4 (6) + y = 20
24 + y = 20
-24 -24
y = -4
Answer:
x = 6
y = -4
Step-by-step explanation:
Comment
You have 2 equations
x = 6
4x + y = 20
You already know what x is from the first equation.
All you need do is put 6 in for x in the second equation.
Solution
x = 6
4*6 + y = 20 Combine what you can on the left
24 + y = 20 Subtract 24 from both sides
24-24+ y = 20-24 Combine
y = - 4
*
Between 10 A.M. and 11 A.M., 48 people came into Brad's store.40 of them
made a purchase. What is the number of favorable outcomes of people
who made a purchase?
Answer: The answer is 40 there are 40 favorable outcomes of people who made a purchase.
Step-by-step explanation:
What is the sum?
3
5
X+3
6-zX
write down simplest ratio of 125ml and 5ml
Answer:
25 : 1
Step-by-step explanation:
125 : 5. divide by 5 we get
25 : 1
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5
The solution to x^2 - 4x = 5 is x = -1 or 5
How to solve the equation?The equation is given as:
x^2 - 4x = 5
Take the coefficient of x
k = -4
Divide by 2
k/2 = -2
Square both sides
(k/2)^2 = 4
Add this value to the sides of the equation
x^2 - 4x + 4= 5 + 4
Express as a difference of two squares
(x - 2)^2 = 9
Take the square root of both sides
x - 2 = ±3
Add 2 to both sides
x = 2 ± 3
Evaluate
x = -1 or 5
Hence, the solution to x^2 - 4x = 5 is x = -1 or 5
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Pls helppp meee!!!!!
Plsss show your work
Answer:
Step-by-step explanation:
3x - 10 = 2x + 30
x - 10 = 30
x = 40
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The two lines shown in the figure intersects each other ~
Therefore,
3x - 10 = 2x + 30[ by vertical opposite angle property ]
Now let's solve for x :
[tex]\qquad \sf \dashrightarrow \:3x - 10 = 2x + 30[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x - 2x = 30 + 10[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 40[/tex]
Evaluate and reduce:
Answer:
-31/8
Please mark me as brainliest
Find the value of c 3-2(1 + 6c) = -35
Answer:
C = 3
Step-by-step explanation:
By using the distributive property, we multiply 1 and 6c inside the brackets by -2. This gives us 3 -2 - 12c = -35. Next, we subtract 2 from 3, giving us 1 - 12c = -35. We will now subtract 1 from both sides, leaving us with -12c = -36, or simply 12c = 36. Finally, we divide by 12, giving us C = 3. I hope this helps!
Hope plans to run one day this week, play tennis one day, swim one day, and play soccer one day. A tree diagram would show different combinations in which she can do these.
The probability that Hope performs any of the activities each day of the week can be expressed in the tree diagram.
What is a tree diagram?A tree diagram is a term for a graphical tool that shows the possible outcomes of an experiment. To build a tree diagram, start by putting a branch for each of the possibilities.
What would the tree diagram of Hope's activities look like?The tree diagram of Hope's activities must include all the days of the week and on each day there must be three branches for each of the possible activities that she is going to do (play tennis, swim or play soccer).
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PLEASE HELP BRAINLIEST how many small blocks of wood each of length 6cm, breath 4cm, and height 2cm can i cut out from a block of wood of length 2m, breadth 4cm and height 2cm WITH STEP BY STEP EXPLANATION
Answer:
33 blocks
Step-by-step explanation:
Given the length , breath and height for small block 6cm, 4cm, and 2cm an d for large 2m = 200cm, 4cm and 2cm.
volume is given by
V = Length x breath x height
Volume of small block = 6 x 4 x 2 = 48 cm^3
Volume of big block = 200 x 4 x 2 = 1600 cm^
No of blocks = Volume of big block/ volume of small block
= 1600/48
= 33.33
Therefore no of blocks formed = 33
which number is equal to 4 half
Answer:
2
Step-by-step explanation:
4 halves=2
1 half=0.5
2 halves=1
3 halves=1.5
4 halves=2
Beginning in the middle of summer, the average temperature for a certain year in Phoenix could approximately be modeled by the function f(x)=31cos(0.0055πx)+88, where x represents the number of days since the middle of the summer, and f(x) represents the average temperature in degrees Fahrenheit.
What was the lowest average temperature in Phoenix that year (approximately)?
A) 57∘F
B) 31∘F
C) 55∘F
D) 88∘F
By finding the minimum of the given function, we conclude that the lowest average temperature that year is 57°F.
What was the lowest average temperature in Phoenix that year?We know that the average temperature is given by the equation:
f(x)=31cos(0.0055πx)+88
And it is in Fahrenheit degrees.
To get the lowest average temperature, we just need to find the minimum of the above function.
Remember that the minimum of the cosine function is:
cos(x) = -1
Then the lowest value of the above function is:
f(x₀) = 31*(-1) + 88 = 57
From this, we conclude that the lowest average temperature that year is 57°F, so the correct option is A.
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i will mark as brainiest
Answer:
the answer to a is 70
the answer to b is 55
the answer to c is 15
Julian calculates the volume of a rectangular prism with the dimensions 3/4ft by 4 feet by 1/2 ft. His work is shown here.
What error did Julian make?
He multiplied the numerators incorrectly.
He multiplied the denominators incorrectly.
He simplified 12/6 incorrectly.
He wrote 4 as a fraction incorrectly.
Answer:
He multiplied the denominators incorrectly
Step-by-step explanation:
we know that
The volume of a rectangular prism is given by the formula
V=LWH
we have
L=3/4 ft
W=5/1 ft
H=1/2
substitute
V=(3/4)(5/1)(1/2)= 3x5x1= 15
₋₋₋₋₋₋₋₋ ₋₋₋₋ ft³
4x1x2= 8
therefore
He multiplied the denominators incorrectly
Find the variance of: 6 6 7 8 10 10
Step-by-step explanation:
I hope this helps!!!!!
4x-6y=17 4x+2y=21 solua
Help Me please . I want to know Square root of 169 and 144 and 625 . please man fast
Answer:
13,12,25
Step-by-step explanation:
Square root of 169 is 13.
Square root of 144 is 12
Square root of 625 is 25.
Answer:
[tex]\sqrt{169} = 13\\\\\sqrt{144} = 12\\\\\sqrt{625} = 25[/tex]
Step-by-step explanation:
[tex]\sqrt{169} = \left(13^2 \right)^{\tfrac 12} = 13^{\tfrac 22} = 13^1 = 13\\\\\sqrt{144} = \left( 12^2\right)^{\tfrac 12} = 12^{\tfrac 22} = 12^1 = 12\\\\\sqrt{625}= \left(25^2 \right)^{\tfrac 12} = 25^{\tfrac 22} = 25^1 = 25[/tex]
. (x² − 8x + 20) ÷ (x − 4)
Answer:
Step-by-step explanation:
(x² − 8x + 20) ÷ (x − 4)
x - x²/4 - 8 - 8x/4 + 20/x - 20/5
x - x²/4 - 8 - 2x + 20/x - 4
-x - x²/4 + 20/x -12
...don't know, keep going
Determine a series of transformation that would map polygon ABCDE onto polygon A'B'C'D'E'
What graph represents the function g(x) = x +41 + 2?
Answer:
The Answer Above The Image
A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown.
A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3.5 and a height of 8. The frustum has a height of 11 and a radius of 7.5.
Which expression represents the volume, in cubic units, of the frustum?
One-thirdπ(7.52)(11) – One-thirdπ(3.52)(8)
One-thirdπ(7.52)(11) + One-thirdπ(3.52)(8)
One-thirdπ(7.52)(19) – One-thirdπ(3.52)(8)
One-thirdπ(7.52)(19) + One-thirdπ(3.52)(8)
Can someone help me??
Answer:
9: 50
10: 90
11: 60
12: 25 and 115
13: 130 and 40
Thats all i can do, im sorry but i hope this helps ^^
Find the measure of the arc.
A
1460
E
B
mBC = [ ? ]0
Answer:
see the attachment photo!
Match each fraction on the left with an equivalent fraction on the right. Some options on the right will be used more than once.
Answer:
4/7=12/21
18/20=9/10
6/5=30/25
81/90=9/10
Step-by-step explanation:
12 / 21 will be equal to 4/7 and is denoted in the simplest form.
What is an equivalent fraction?A fraction that possesses the same value as another fraction regardless of how it's denominators and numeric components could be different is said to be equivalent.
12 / 21 can be simplified with the help of 3. This will result in 4/7.
18/20 can be simplified with the help of 2. This will result in a 9/10.
30/25 can be simplified with the help of 5. This will result in 6/5.
81/90 can be simplified with the help of 9. This will result in a 9/10.
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Just a little help :,(
Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for T.
9 in.
in³.
3 in.
The volume is about
Answer:
the volume is about 84.8 in³
Step-by-step explanation:
Let b be the base of the cone
and h be the height of the cone
Formula :
Consider the cone with base b and height h
The volume = (1/3)×b×h
………………………………………………………
In our example:
b = 3.14×3^2 = 28.26
h = 9
Therefore
The volume = (1÷3)×(28.26)×9 = 84.78