The length of the zipline for the building which you are looking at needed to be 154.01 feet.
What is a trigonometric function?The domain input value for the six basic trigonometric operations is the angle of a right triangle, and the result is a range of numbers.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
Given the situation making a right-angle triangle with an angle of 37° and a base is 123 feet.
By trigonometric function
cos37° = 123/zipline
zipline = 123/cos37°
zipline = 154.01 feet
Hence, the zipline which is needed is 154.01 feet.
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if anyone doesn't get trigonometry here are some ways to help remember through picture memory.
If anyone has a picture that's different please describe it as your answer with the calculation that helps you remember away from usual way.
Picture 1. Right angle
Sunrise Ah looks for side measure.
The number above is the hypotenuse
A/H = cos ( ) x hyp =base
A/H = cos ( ) x hyp = side
Picture 2.
Sunrise Soh looks for side measure.
The number above it is the hypotenuse
O/H = sin ( ) =p (for product) take the p x hyp.
Picture 3 Sunrise Toast (oa) looks for side measure = O/A
Tan ( lower angle ) x base = side
Picture 4
Side of car with window as hypotenuse.
Two wheels are the 2 angles given and the back seat is perpendicular to both wheels = so the triangle structure looks like this /00|7
so you type in 7/sin ( 1st wheel) x (2nd wheel) = hypotenuse.
Both angles given or worked out this is when this is used.
Picture 5
Electric mast looking for slope
SIN =S/P = O/A
Angle at top
We have the side at 70 and looking for the slope
Sin( top angle) = p then side/p = hyp
Picture 6
Top angle and base given creates a T this means half both of them before dividing.
Half = 1/2 base / sin (1/2) = hypotenuse
Picture 7
Top angle and base given creates a T this means half both of them before dividing.
To find height =
Half = 1/2 base /Tan 1/2) = Triangle height.
Key checker after pictures are drawn is;
sunrise = low angle x side or low angle x base = hypotenuse.
car = backseat x wheels = hypotenuse
Half = 1/2 base / sin (1/2) = hypotenuse
Half = 1/2 base / tan (1/2) = height
Just take care with top angle and lower angle key words in the drawing descriptions and then the pictures will help.
This is an isosceles trapezoid z=
Answer:75
Step-by-step explanation:
Answer:
75 is the answer I think...
Step-by-step explanation:
Solve the equation:
|x+1|+|x−2|=3
The only solution to the equation |x+1|+|x-2|=3 is x=2. To find this, we broke the problem into cases based on the nature of absolute values and verified the solution by substitution.
To solve the equation |x+1|+|x-2|=3, we need to consider the different cases due to the absolute value functions.
If x = 2, both x+1 and x-2 are non-negative, and our equation simplifies to x+1+x-2=3, which results in x=2.
If -1 \\leq x < 2, x+1 is non-negative, and x-2 is negative, so the equation becomes x+1-(x-2)=3, which is an identity and does not yield a solution.
If x < -1, both x+1 and x-2 are negative, so the equation becomes -(x+1)-(-x+2)=3, simplifying down to -1=3, which is false and cannot be a solution.
Therefore, the only solution is x=2. We can verify this by substituting back into the original equation. This is consistent with the properties of absolute value equations. Always verify your solutions to ensure they hold in the original equation.
Evaluate each expression.
Answer:
-1
Step-by-step explanation
Answer:
-1
Step-by-step explanation:
-9-3 = -12
18-6 = 12
-12/12 = -1
if sin A=1/2 find the cos A
Answer:
Sin A = 1/2 means taking the inverse of Sin which is arcsin and then solving for A.
Do the same thing for Cos A = 1/2. The inverse of Cos is arccos and then solve for A.
The answer is pi/3. Knowing the unit circle helps too.
Good luck!
If sin A is 1/2. Then the value of cos A will be √3 / 2.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
If sin A is 1/2. Then the value of cos A will be
We know that
sin² A + cos² A = 1
Then we have
(1/2)² + cos²A = 1
cos² A = 1 - 1/4
cos² A = 3/4
cos A = √(3/4)
cos A = √3 / 2
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Which type of function best models the set of data points?
(0,11). (1,7), (2,7), (3,11). (4,19)
wait I try it !! ,!!!!!!
Answer:
the best model function of the set is 3,11
Solve this in quadratic formula please and thank you.
Answer:
(2/3) + or - .943i
Step-by-step explanation:
Use quadratic formula.
[tex]x = \frac{-b \frac{+}{}\sqrt{b^2 - 4ac} }{2a}[/tex]
A = 3
B = -4
C = 4
[tex]\sqrt{16 - 2(3)(4)} = \sqrt{-8}[/tex] or 2.828i
4/6= 2/3
Answer: 2, -2/3 ********************************************************************************************************
Set up a table of values and then graph the line from its parametric form.
x= -3t+4
y= 2t-5
Please select the best answer from the choices provided
A
B
C
D
Answer:B
Step-by-step explanation:
Edge
Grayson charges $35 per hour plus a $35 administration fee for tax preparation, lan charges $45 per hour plus a $15
administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson charge
more than lan?
Oh> 2
on<5
h>5
Answer:
h < 2
Step-by-step explanation:
The charges by Grayson are ...
35h +35
The charges by Ian are ...
45h +15
We want to find h for ...
Grayson > Ian
35x +35 > 45h +15 . . . . use expressions we found
20 > 10h . . . . . . . . . . . . add -15-35h
2 > h . . . . . . . . . . . . . . . divide by 10
Grayson will charge more for less than 2 hours.
Answer:
A: h < 2
Step-by-step explanation:
Classwork/Homework:
Which of the following equations represent exponential functions
A. f(x) = 2x3 + 1
B. f(x) = -4*
C. f(x) = 1+
D. f(x) = 3(2)*
Option D, f(x) = 3(2)^x, represents an exponential function.
Explanation:The equation that represents an exponential function is f(x) = 3(2)x. The exponential function has the form y = ab^x, where a and b are constants, and b is greater than 0 and not equal to 1. In this equation, b is equal to 2, which satisfies the condition. Therefore, option D, f(x) = 3(2)x, represents an exponential function.
Round the following numbers to 2 decimal place.
a) 65.874
b) 326.59
c)
13.555
d)
7.959
Answer:
A) 65.87
B) 326.59
C) 13.56
D) 7.96
Step-by-step explanation:
Factor the following polynomial:
2x^2+8x
Look at the attached picture⤴
Hope it will help u..
A drone is flown, with constant acceleration, in a horizontal plane.
When initially observed, at a point P, it has a velocity of (2i − 7j) ms−1
Four seconds later the drone is at a point Q and has a velocity of (14i + j) ms−1
(i) Find the acceleration of the drone in terms of i and j.
Answer:
3i + 2j
Step-by-step explanation:
Acceleration = change in velocity/time
Change in velocity
(14i + j) - (2i - 7j)
= 12i + 8j
Divide by time (t = 4)
3i + 2j
The acceleration of the drone in terms of i and j is 3i+2j.
What is the average acceleration?Acceleration is the amount by which the velocity of something changes over a set period of time.
The formula to find the acceleration is a=(v-v₀)/t, where a=average acceleration, v=final velocity, v₀=initial velocity and t=time.
Given that, a drone is flown, with constant acceleration, in a horizontal plane. When initially observed, at a point P, it has a velocity of (2i-7j) ms⁻¹.
Four seconds later the drone is at a point Q and has a velocity of (14i+j) ms⁻¹.
Acceleration = change in velocity/time
Change in velocity
(14i + j) - (2i - 7j)
= 12i + 8j
Divide by time (t = 4)
= 4(3i+2j)/4
= 3i+2j
Therefore, the acceleration of the drone in terms of i and j is 3i+2j.
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What is the answer to this question?
Answer:
Perpendicular
Step-by-step explanation:
Parallel lines have equal slopes.
The product of perpendicular slopes = - 1
Calculate the slopes of u and v using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 51, 65) and (x₂, y₂ ) = (- 46, 96)
m = [tex]\frac{96-65}{-46+51}[/tex] = [tex]\frac{31}{5}[/tex]
Repeat with (x₁, y₁ ) = (- 37, 85) and (x₂, y₂ ) = (- 6, 80)
m = [tex]\frac{80-85}{-6+37}[/tex] = - [tex]\frac{5}{31}[/tex]
Since [tex]\frac{31}{5}[/tex] × - [tex]\frac{5}{31}[/tex] = - 1
Then the lines are Perpendicular
Ron wants to buy a video game with a selling price of $48. It is on sale for 50% off. The sales tax in his state is 4.5%.
What is the sale price?
If 30 feet of a fencing material weighs 21 pounds, what does 75 feet of the same material weigh?
Answer:
52.5 lbs
Step-by-step explanation:
We can use a ratio to solve
30 ft 75 ft
-------------- = ------------
21 lbs x lbs
Using cross products
30x = 75*21
30x = 1575
Divide each side by 30
30x/30 =1575/30
x =52.5 lbs
The Petersons hotel has a lazy river that is shaped like a circle with a diameter of 120 ft. If mr. Peterson has made one full rotation how many feet has he traveled?
Mr. Peterson has traveled approximately 376.8 feet after making one full rotation in a lazy river with a diameter of 120 feet, by calculating the circumference of the circle using the formula C = πd.
Explanation:The question asks how many feet Mr. Peterson has traveled after making one full rotation in a lazy river shaped like a circle with a diameter of 120 ft. To find the distance traveled, we need to calculate the circumference of the circle, which is the total distance around the circle.
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter of the circle. Using π approximately equal to 3.14 and the given diameter of 120 feet, we calculate the circumference as follows:
C = πd = 3.14 × 120 ft = 376.8 ft
Therefore, Mr. Peterson has traveled approximately 376.8 feet after making one full rotation around the lazy river.
18 is 25% of what number?
Answer:
72
Step-by-step explanation:
All 12 members of the glee club went to eat at the Hibachi Grill restaurant. The chicken costs $10 per person, while the beef costs $14 per person. At the end of the evening, the club members received a bill for $136, not including tax.
Assuming that each person ordered only one type of meal (chicken or beef), how many club members ordered chicken?
URGENT
Answer:
8 chicken, 4 beef
Step-by-step explanation:
No. of chicken: x
No. of beef: y
x + y = 12
x = 12 - y
10x + 14y = 136
10(12 - y) + 14y = 136
120 - 10y + 14y = 136
4y = 16
y = 4
x = 12 - 4
x = 8
6.77 times 7 times 7.4 by the nearest whole number
Answer:
351
Step-by-step explanation:
Calculate the numbers on a calculator (6.77*7*7.4) and you'll get the answer 350.686. With that number, round the 600 up (makes the 0 in 350 to 1) which will give you the new number of 351. Hope this helps.
3 divided by9 draw a picture that show the division expression
Answer:
1/3
Step-by-step explanation:
3/9 = 1/3
Simplify 5(x-4) HELPPP PLS HURRY ILL GIVE U BRAINLIEST
Answer:
5x-20
Step-by-step explanation:
multiply and distribute the 5
Which describes the graph of the function shown?
A) linear and discrete
B) nonlinear and discrete
C) linear and continuous
D) nonlinear and continuous
Solve: 12^x2+5x-4 = 12^2x+6
x=2
x = -5
x=2x=-5
no solution
Answer:
x=2
Step-by-step explanation:
12x^2+5x-4 = 12x^2+6
Subtract 12x^2 from each side
12^x2-12x^2+5x-4 = 12^2x-12x^2+6
5x-4 = 6
Add 4 to each side
5x-4+4 = 6+4
5x = 10
Divide each side by 5
5x/5 = 10/5
x = 2
Answer:
IT EQUALS 2
Step-by-step explanation:
Solve the equation. SHOW your work. SHOW which properties of equality you used to solve each equation.
3( y + 4) = 24
Answer:
y = 4
Step-by-step explanation:
We have to use the distributive property. Remember that the distributive property states that when expanding out a parentheses, you must find the sum of the product of the "outside term" with each of the "inside terms".
In this case, the "outside term" is 3 and the "inside terms" are y and 4. So, we need to multiply 3 by each of y and 4 and then add those together:
3(y + 4) = 24
3 * y + 3 * 4 = 24
3y + 12 = 24
Now, we subtract 12 from both sides to isolate the variable:
3y + 12 - 12 = 24 - 12
3y = 12
Finally, divide by 3 from both sides to get y alone:
3y/3 = 12/3
y = 4
Thus, y = 4.
Hope this helps!
Answer:
y = 4
Step-by-step explanation:
3(y+4) = 24 <- This is a linear equation so its solved as such
3y+12 = 24 <- Distribute the (PEMDAS)
-12 -12 <- Get y alone
3y = 12 <- Rewrite with y alone
[tex]\frac{3y}{3}[/tex] = [tex]\frac{12}{3}[/tex] <- Divide both sides
y = 4
Simplify -3 1/2 - (-12 1/4)
What fraction of 150 gallons is 189 l? Give your answer in simplest form. 1 gallon = 4.5 l.
Answer:
[tex]\frac{25}{7}[/tex]
Step-by-step explanation:
Given:
1 gallon = 4.5 liters
Question asked:
What fraction of 150 gallons is 189 liters ?
Solution:
First of all we will convert gallons to liters:-
1 gallon = 4.5 liters
150 gallons = 4.5 [tex]\times[/tex] 150 = 675 liters
Now, to know the fraction :-
675 gallons [tex]\div[/tex] 189 liters
[tex]=\frac{675}{189} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 9\\ \\ =\frac{75}{21} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 3\\ \\ =\frac{25}{7}[/tex]
Therefore, 150 gallons (675 liters) is [tex]\frac{25}{7}[/tex] of 189 liters.
whal is P()
im so confused
what is P(12)
and how does it = to 1/30
Answer:
2/60
Step-by-step explanation:
micchel and jennefer each worked 25 hours last week. micchel eared $10 per hour jennifer earned $12 per hour how much more did jennifer earn for the week
Answer:Jennifer earn 50$ more than micchel
Step-by-step explanation:
Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of $9.50 each, but later decreased the price of each by
$3.00. If they sold all 95 pieces and took in $707.50, find how many they sold at the original price and how many they sold at the reduced price
The number sold at $9.50 is
The number sold at $6.50 is
Answer:
Amount of potteries sold at $9.50 is 30
And that of $6.50 is 65 potteries
Step-by-step explanation:
Kindly refer to the attached image for explanations