The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
What is sine function with time?The period of a sine function is equal to the 2π and it repeats after each 2π units.
The sine model can be given as,
[tex]y = a\sin(bt) +k[/tex]
The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,
[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]
The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,
[tex]k=30[/tex]
The blades are 10 feet long. Thus,
[tex]a=10[/tex]
Put these values in the above formula as,
[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]
Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
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Answer:
B
Step-by-step explanation:
What is the solution of the inequality shown
below?
x-1 < -10
Answer:
x<-9
Step-by-step explanation:
x−1<−10
Add 1 to both sides.
x<−10+1
Add −10 and 1 to get −9.
x<−9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hoped this helped :)
Answer:
x < -9
Step-by-step explanation:
Bring like terms to one side⇒ x - 1 < -10
⇒ x < -10 + 1
⇒ x < -9
The solution is x < -9 or x is less than negative 9What is the measure of the unknown angle?
A 72°
B 74°
C 76°
D 79°
Answer:
C. 76 degrees.
Step-by-step explanation:
n = 180 - 104
= 76.
Answer:
C
Step-by-step explanation:
a straight line is 180 degrees
so we can say that n is equal to 180 - 104
n is equal to 76 degrees
How tall is this building?
Answer:
The building is 86.6 m tall.
Step-by-step explanation:
Coh Cah Toa
Coh: sin(theta) = Opp/Hyp
Cah: cos(theta) = Adj/Hyp
Toa: tan(theta) = Opp/Adj
Using Toa.
tan(theta) = Opp/Adj
tan(60°) = x/50
x = 50 * tan(60°)
x = 50 * √(3)
x ≈ 86.60254038
x = 86.6 m
PLS HELP OFFERING BRAINLIEST+20 POINTS! I RLLLLLLLLLYYYYYYY NEED HELP!
Answer:
c and d
Step-by-step explanation:
hope it helps bud
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
15.8 :D
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Now lets solve!!
9^2 + 13^2 = c^2
81 + 169 = c^2
250 = c^2
Now we need to find the square root!!
[tex]\sqrt{250}[/tex] = 15.8 :)
Have an amazing day!!
Please rate and mark brainliest!!!
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
See picture for full problem. Please and thank you so very much!
Answer:
Step-by-step explanation:
Which of the following expressions are equivalent to -2(5 – 3)?
Choose all answers that apply:
A
-10 - 6
B
-10 + 6
None of the above
Peno
Sos
Answer:
It's B
-10 + 6
Step-by-step explanation:
Here, we gotta use the distributive property.
the -2 will distribute to the 5, which will make the -10
then, the -2 will also distribute to the -3 (the minus is the negative) which will make the 6
So, that should give you the -10 + 6, which is B
hope this helped :)
Answer:
[tex]\boxed{\sf{B.-10+6}}[/tex]Step-by-step explanation:
Use the distributive property.
Distributive property:
→ A(B+C)=AB+AC
→ -2(5-3)
Multiply.
→ -2*5=-10
→ -2*3=-6
Rewrite the problem down.
→ = -10+6
Therefore, the correct answer is B. -10+6.I hope this helps you! Let me know if my answer is wrong or not.
Alexa can follow the sidewalk from the library to the school or she can travel across the grass
directly. Which route is longer?"
Sidewalk-78m
13m
The longer distance that Alexa can follow to the school is the sidewalk since 70m is longer than 13m.
How to calculate the distance?From the information given, Alexa can follow the sidewalk from the library to the school or she can travel across the grass.
In this case, the distance of the sidewalk is 78m and the distance of the grass is 13m. Therefore, the longer distance is the sidewalk.
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y = -7⁄2 x + 86
y = -7⁄2 (10) + 86
y = 51 points
Answer:
I think you are incorrect
Step-by-step explanation:
this was the answer i got 121
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
a) write 2 2/3 as an improper fraction in its simplest form.
B) work out 2 2/3 x5 give your anwser as an improper
fraction in its simplest form.
Step-by-step explanation:
a) write 2 2/3 as an improper fraction in its simplest form....
[tex] = 2 \frac{2}{3} \\ [/tex]
[tex] = \frac{2 \times 3 + 2}{ 2} \\ [/tex]
[tex] = \frac{8}{2} \\ [/tex]
[tex] = \frac{8 \div 2}{2 \div 2} \\ [/tex]
[tex] = \frac{4}{1} = 4 \\ [/tex]
B) Work out 2 2/3 x5 give your anwser as an improper...
[tex] = 2 \frac{2}{3} \times 5 \\ [/tex]
[tex] = \frac{2 \times 3 + 2}{3} \times 5 \\ [/tex]
[tex] = \frac{8}{3} \times 5 \\ [/tex]
[tex] = \frac{40}{3} \\ [/tex]
Does anybody know this ?
Answer:
0, 1, 2, 3, 4
Step-by-step explanation:
Multiply each x value by 1/3 then add 2. Since the numerator is 1, you would multipy by one and divide by the denominator of 3, so you really need to divide each x value by 3 then add 2.
-6:
-6/3 = -2
-2 + 2 = 0
-3:
-3/3 = -1
-1 + 2 = 1
0:
0/3 = 0
0 + 2 = 2
3:
3/3 = 1
1 +2 = 3
6:
6/3 = 2
2 + 2 =4
i need help with this quick pls , please solve 5a
Answer:
Step-by-step explanation:
If you use de morgan's laws to write out [tex]-(PvQ)[/tex], it returns -P ^ -Q
And if ^ means 'and', it is showing that (P and Q) and (-P and -Q) which isn't possible since there can't be something that is both true and false. Therefore, it is a contradiction since something can not be true a nd false at the same time.
The volume of a square pyramid with a height of 12m is 100 m find the Length of the square base.
What is the vertex of the graph of the function f(x) = x² + 8x - 2?
(-4,18)
(0,-2)
(-8, -2)
(-4,-18)
Answer:
(4, -18)
Step-by-step explanation:
First Use this formula for the x -axis -b/2a
-8/2(1) is -4
Then plug in -4 to the equation
(-4)^2+8(-4)-2 = -18
The difference of x and a number is 6. What is the other number?
Answer:
Answer: The other number is y = x + 6.
Step-by-step explanation:
is 627 divisible by 3
Answer:
yes.
Step-by-step explanation:
If you divide 627 by 3, you get 209 which is a whole number.
Hope this helped! Have a nice day!
Please give Brainliest when you can!
-Jaron
Answer:
technically speaking, yes. but if you don't want any remainders, (or decimals) then no.
Step-by-step explanation:
7 isnt divisable by anything, unless you have remanders or decimals, fractions ext. so yeah.
Tanya's father travels every week for business. He has traveled around the
world many times. Over the past 10 years, he has accumulated approximately
460,000 frequent flyer miles. How is that number expressed in scientific
notation?
A. 4.6 × 103
B. 4.6 × 10 4
C. 4.6 × 10 5
D. 46 × 10 5
The correct answer would be: 4.6 x 10^5
PLS HELP ASAP a wheel makes 13 revolutions to cover a distance of 65 m find the radius of the wheel
Circumference:-
65/135mRadius:-
2πr=5πr=2.5r=2.5/πr=0.797mAnswer:
radius = 0.8 m (nearest tenth)
Step-by-step explanation:
One revolution of the wheel means one complete turn. Therefore, the distance of one revolution is the circumference of the wheel.
First, find the distance of one revolution (the circumference) by dividing the total distance by the given number of revolutions:
[tex]\sf circumference=\dfrac{65}{13}=5\:m[/tex]
Formula
[tex]\textsf{circumference of a circle}=\sf 2 \pi r \quad \textsf{(where r is the radius)}[/tex]
[tex]\implies \sf radius=\dfrac{circumference}{2 \pi}[/tex]
Substituting the found value of the circumference into the formula to find the radius:
[tex]\implies \sf radius=\dfrac{5}{2 \pi}=0.8\:m\:(nearest\:tenth)[/tex]
if a-1/a=5 then find the value of a square +1/asquare
Answer:
3
Step-by-step explanation:
Calculating a
a - 1 / a = 5a - 1 = 5a4a = -1a = -1/4Substitute in the 2nd equation
a² + 1 / a²(-1/4)² + 1 / (-1/4)²1/2 + 1 / 1/23/2 / 1/23What is the area of the shape?
Answer:12 units^2
Step-by-step explanation:
2*2=4
2*2*1/2=2
2*6*1/2=6
4+2+6=12
12 units^2
65 brainleiest! Can someone help?!
Answer:
m∡EFG = 139°, and m∡ IFH = 49°
Step-by-step explanation:
We know that vertical angles are congruent so we can say that
∡EFG ≅∡DFH and that ∡EFD≅∡GFH
Congruent angles have the same measure therefore
∡EFG = ∡DFH = 6x+25 and
∡EFD = ∡GFH = 2x+3
Use that all those angles add up to 360° to find x
∡EFG +∡GFH +∡DFH + ∡EFD = 360°, substitute the given measures
6x+25 +2x+3 + 6x+25 +2x+ 3 = 360 , combine like terms
16x + 56 = 360, subtract 56 from both sides
16x = 304, divide both sides by 16
x = 19
m∡EFG = 6x +25 , substitute x with 19 and calculate
m∡EFG = 6·19 +25
m∡EFG = 139°
m∡ IFH = 90°- m∡GFH, substitute m∡GFH with 2x+3
m∡ IFH = 90°- (2x +3), substitute x with 19
m∡ IFH = 90°- (2·19 +3)
m∡ IFH = 90°- 41
m∡ IFH = 49°
The wheel of a bike has a diameter of 26 inches. What is the circumference of the wheel?
Answer:
C ≈81.64 inches
Step-by-step explanation:
Formula : C ≈ πd
Where:
C = circumference
π ≈ 3.14 {About}
d = diameter
As Given :
Wheel of a bike has a diameter of 26 inches.
Solution:
Note - Given that diameter = 26
π ≈ 3.14 {About}
C ≈ 3.14 (26)
C ≈ 81.64
Therefore the circumference of the wheel is 81.64 inches
Kavinsky
Use the picture I provided to help me answer the question.
This shows how to copy the triangle, cut the copy into pieces, and form a rectangle.
What is the area of the rectangle?
( ) square millimeters
What is the area of the triangle?
( )square millimeters
The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.
What is an area?The area is the amount of space occupied by a two dimensional shape or object.
Area of rectangle = length * width = 6 mm * 8 mm = 48 mm²
Area of triangle = (1/2) * base * height = 0.5 * 6 * 8 = 24 mm²
The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.
Find out more on area at: https://brainly.com/question/25292087
What’s the scale factor? Quick
This is on ixl and I have to get at least a 90
Answer:
4
Step-by-step explanation:
We start with the smaller shape. We look at each coordinate and we multiply by 4. That will give us the coordinates for the bigger shape.
A car traveled 1010 miles at an average speed of 3030 miles per hour
and then traveled the next 1010 miles at an average speed of 5050 miles
per hour. What was the average speed, in miles per hour, of the car for the
2020 miles?
The average speed, in miles per hour, of the car for the 20 miles is 37.5 mph
Average speedAverage speed v = d/t where
d = total distance and t = total timeMaking t subject of the formula, we have
t = d/v
Time to cover first 10 milesNow when the car travels 10 miles at an average speed of 30 miles per hour,
d = 10 mi and v = 30 mph.So, t = d/v
= 10/30
= 1/3 h
Time to cover next 10 miles
Also, when the car travels the next 10 miles at an average speed of 50 miles per hour,
d' = 10 mi and v' = 50 mph.So, t' = d'/v'
= 10/50
= 1/5 h
Time to cover 20 miles
The total time for the 20 miles is T = t + t'
= 1/3 h + 1/5 h
= (5 + 3)/15 h
= 8/15 h
Average speed for 20 miles
So, the average speed for the 20 miles is v = D/T where
D = 20 miles and T = 8/15 h.So, v = D/T
v = 20 mi ÷ 8/15 h
v = 20 × 15 mi/8 h
v = 2.5 × 15 mi/h
v = 37.5 mph
So, the average speed, in miles per hour, of the car for the 20 miles is 37.5 mph
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perform the indicated operation 7/2x-2/3x
Answer:
Ans: n−√5
Step-by-step explanation:
Do number 2 please. Please bots don’t answer! I just trying to get help :(
Answer:
no 2. cube a' will be smaller because it was multiplied by a fraction
no 3. c
Pleaseeeeee helppp!!!!! Will mark brainliest!!
Answer:
the first one (3x-2)(2x-3)
Please help me with algebra question will mark brainliest to first person with a real answer
Answer:
367/90
Step-by-step explanation:
As [tex]4.\bar{7}=4\frac{7}{9}[/tex], this means that [tex]0.4\bar{7}=4\frac{7}{90}=\frac{367}{90}[/tex], 1/10th of 4.7 repeated.