Answer:
The sine equation for the wave is;
y = 29·sin[(π/22)·(x - 11)] + 42
Step-by-step explanation:
The given wind parameters in the wind tunnel are;
The slowest speed of the wind in the wind tunnel, v₁ = 13 feet per second
The maximum speed of the wind, v₂ = 71 feet per second
The time it takes the wind to complete one cycle = 44 seconds
Therefore, we have;
The general form of the sine equation is given as follows;
[tex]y = A \cdot sin \left [B(x - C)\right ] + D[/tex]
The period, T = 44 seconds = 2·π/B
∴ B = 2·π/44 = π/22
Given that the wave starts at the slowest speed, the horizontal shift
The amplitude, A = (v₂ - v₁)/2
∴ A = (71 ft./s - 13 ft./s)/2 = 29 ft./s
The vertical shift, D = v₁ + a = 13 ft./s + 29 ft./s = 42 ft./s
D = 42 ft./s
When x = 0, sin(B·C) = -1
∴ -B × C = -π/2
∴ C = π/2 ÷ B = π/2 ÷ (π/22) = π/2 × 22/π = 11
Therefore, the sine equation for the wave is;
the sine equation for the wave is;
y = 29·sin[(π/22)·(x - 11)] + 42
Which of the following is equal to 49x2−81?
(7x−9)2
(x+9)(x−9)
(7x+9)(7x−9)
(7x+9)2
Answer:
2
Step-by-step explanation:
PLEASE HELPP!!I need to pass this please!!im confused
Question:Which statement is true of Jenna's monthly electricity bill
A.for every 15 units of electricity used monthly the charges $0.10
B.for each unit of electricity use the charges $10 plus $15 for the first month
c.Jenna has to pay $15 for each unit of electricity used and a $0.10 fixed monthly charge
DJenna has to pay $1 for every 10 units of electricity used plus a $15 fixed monthly charge
Answer:
saw this question on egde its b
What is X equal to in this problem?
Answer:
28 degrees
Step-by-step explanation:
A right triangle has legs that are 5 cm and 7 cm long what is the length of the hypotenuse
1.√12
2.√24
3.√74
4.√144
Answer:
3. 74
Step-by-step explanation:
The pythagorean theorem states that A^2 + B^2 = C^2 (with c being the hypotenuse). So to figure it out we can substitute into the equation.
5^2 = 25
7^2 = 49
25 + 49 = 74
So it would be the square root of 79. I hope this helps! :)
The length of the hypotenuse side of a triangle is √74. Therefore, the correct answer is option 3.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, a right triangle has legs that are 5 cm and 7 cm long.
Let the length of the hypotenuse side be x.
Now, x²=5²+7²
x²=25+49
x²=74
x=√74 units
Therefore, option 3 is the correct answer.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
#SPJ2
la suma de los cuadrados de dos numeros
-9 + 10m = -5 + 6 solve for m
Answer:
m = 1
Step-by-step explanation:
-9 + 10m = -5 + 6
-9 + 10m = 1
10m = 1 + 9
10m = 10
m = 1
reggie picked 72 flowers he wants to split them up and give an equal number of flowers to his aunts how many flowers will each aunt receive?
Answer:
?
Step-by-step explanation:
Without knowing number of aunts how can we split?
Or I don't understand the question , Anyone can solve ??
If f(x)=3x-9, what is f(5)?
Answer:
ok so
Step-by-step explanation:
plug it in
since x=5
it would be 5=3×5-9
which would give us 5=6x
Subtract
x=-1
find the area of this figure.
Answer:
it is 285 ...cause you should multiply 15 by 17 and add 19 and 11 .. it is 285
In the equation 3x - 9 = 3, what is the first step we should do?
Anse
draw the line down the equal sign
Step-by-step explanation:
Answer:
Step-by-step explanation:
add 9 to both and then cancel out both 9s and add 3 and 9 together
What is the equation of this
Answer:
it's correct
Step-by-step explanation:
hello please help thanks
Answer: 2 one
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
Sinkholes are cavities in the ground that form when water erodes an underlying rock layer.
What is the area? pleaseee helppppp
Answer:
A = 12 sq in
Step-by-step explanation:
A = bh/2
A = 6(4)/2
A = 12
How many cubic feet of water are in the pool?
Answer:
It depends on the size of the
Step-by-step explanation:
Like the width ,length and all that
give me the size of the pool and will assist
There are small, medium, and large shirts in blue, white, or gray. How many different possible outcomes are there?
9
2
12
3
3 different sizes.
3 different colors.
Total outcomes: number of sizes x number of colors.
3 x 3 = 9
There are 9 total outcomes.
Answer:
9
Step-by-step explanation:
The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event: (M)(N).
a person who is at least 65 years old is considered a senior citizen write an inequality that represents this situation. Let a represent the persons age
Which of the following shows the correct order of the given numbers?
1 5/8, 1 3/10, 1.6
1.6, < 1, 5/8 < 1 3/10
1 3/10 < 1.6 < 1 5/8
1 5/8 < 1 3/10 < 1.6
Answer:
1 3/10 < 1.6 < 1 5/8
Step-by-step explanation:
All you need to do is because all the mixed numbers (even though one of them has a decimal, which could be converted to 1 3/5) have the same whole number, just put the fractional parts of the whole number from smallest to largest.
here is the last question from my pervious post
Ill give brainliest to whoever answers it right
Answer:
G
Step-by-step explanation:
Which of the a-values satisfy the following inequality? 7 + a < 11 Choose all answers that apply: А a = 3 B a = 4 a = 5
Answer:
Only A. a=3
Step-by-step explanation:
Because since 7+a<11 then that means a have to be 3 or below... good luck!
Answer:
A) a=3
When a=3 7+3=10 which satisfy that 7+a<11 in which 10<11
find the x-intercepts, use the zero product property, r(r+7)=0
9514 1404 393
Answer:
r = 0
r = -7
Step-by-step explanation:
There is no x in the equation, hence there are no x-intercepts.
__
If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.
The factors are r and (r+7).
The factor r is zero when ...
r = 0
The factor (r+7) is zero when ...
r +7 = 0 ⇒ r = -7
The "x-intercepts" are r=0 and r=-7.
What geometric figure would you get if you joined the endpoints of two rays and pointed the rats in opposite directions?
Pls help me ASAP, this is due today. I would really appreciate it.
unit 8 homework 4 geometry
Answer:
14. 44.8 feet
cos48=30/x
x=30/cos48
x=44.8
15. 2352 feet
tan12=500/x
x=500/tan12
=500/0.2126
x=2352
Chris works at a tire store. Chris can change a tire on a rim in 8 to 12 min, with all times
in between equally likely.
a) What is a probability that Chris changes a given tire in less than 9 min?
b) What is the probability that it takes between 9 min and 11.5 min?
c) What is the probability that it takes exactly 10 min?
Answer:
8 because I just guess 8
Step-by-step explanation:
because I that's all you need to know
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $2.15 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.
*see attachement for diagram
Answer:
Sal would pay $93.53 to tile his entryway.
Step-by-step explanation:
Given:
1 unit = 1 foot
Tile cost = $2.15 per square foot
To find how much will lay to tile the entry way represented on the grid in the image below, we have to find the area of the entryway he wants to tile.
The entry way can be decomposed into a trapezoid and a parallelogram. The upper shape form the middle is a trapezoid while the down part from the middle is a parallelogram.
✔️Area of the trapezoid = ½(a + b)*h
Where,
a = 7 ft
b = 4 ft
h = 5 ft
Area of the trapezoid = ½(7 + 4)*5
= ½(11)*5
= 27.5 ft²
✔️Area of the parallelogram = b*h
b = 4 ft
h = 4ft
Area of the parallelogram = 4*4 = 16 ft²
✔️Total area of the entryway to be tiled = 27.5 + 16 = 43.5 ft²
✅Cost to tile 1 ft² = $2.15
Therefore, cost to tile 43.5 ft² = 2.15*43.5 = 93.525 ≈ $93.53
✅Sal would pay $93.53 to tile his entryway.
can someone please help me
Answer:
Step-by-step explanation:
I think it’s -5
HELP PLEASE I DONT KNOW WHAT TO DO
Answer:
5, -10, 10
Step-by-step explanation:
a “step“ can’t be negative so we can say that we move twice to left 5 spaces
a positive number multiplied by a negative number gives as result a negative number. In this case -10
the opposite of a number is the same number in absolute value with a opposite sign. In this case 10
What is the formula for the area of a circle?
O A. A = 727
O B. A = 20
O C. A = terd
O D. A = 2
X = y - 3
2x + y = 12
pls hurry i need badly
[tex] \huge \colorbox{yellow}{Question}[/tex]
[tex]x = y - 3[/tex][tex]2x + y = 12[/tex]
[tex] \huge \colorbox{yellow}{Answer}[/tex]
[tex]x = y - 3 \: (equation \: 1)[/tex]
[tex]2x + y = 12 \: (equation \: 2)[/tex]
Substituting the value of x in
( equation 2)
[tex]2x + y = 12[/tex]
[tex]2(y - 3) + y = 12[/tex]
[tex]2y - 6 + y = 12[/tex]
[tex]2y + y = 12 + 6[/tex]
[tex]3y = 18[/tex]
[tex]y = 18 \div 3[/tex]
[tex]y = 6[/tex]
Now we get y = 6
Substituting the value of y in
( equation 1 )
[tex]x = y - 3[/tex]
[tex]x = 6 - 3[/tex]
[tex]x = 3[/tex]
Now we get x = 3
[tex] \huge \mathsf\red{Final \: Answer}[/tex]
y = 6 x = 33V3
х
60°
Find the values of x and y. Write your answers in simplest form.
X=
y=
Answer:
X=3
y=6
Step-by-step explanation:
[tex]tan60=\sqrt{3}=\frac{3\sqrt{3} }{x} \\\\x=3[/tex]
-----------
[tex]sin60=\frac{\sqrt{3} }{2} =\frac{3\sqrt{3} }{y} \\\\y=6[/tex]
hope it helps...
have a great day!!
Graph a line with a slope of 5 that contains the point (-2,4).
Khan Academy
Answer:
Graph the point (-2, 4) and then use rise over run (Up 2 and right 5)
Step-by-step explanation:
y - y1 = m(x - x1)
y - 4 = 2/5(x + 2)
y - 4 = 2/5x + 4/5
y = 2/5x + 24/5