Step-by-step explanation:
A camera is positioned 5000 ft from the base of a rocket launching pad. the angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. let's assume the rocket rises vertically and its speed is 800 ft/s when it has risen2548 ft. (round your answers to three decimal places.)
Answer: B
Step-by-step explanation:
We are given an angle and a distance, and to solve for the height we need to make a triangle.
First, I'm going to assign sides to the triangle:
Side a: This is going to be the distance from the camera to the launch pad.
Side b: This is going to be the distance from the launch pad to the rocket (the rocket's height)
Side c: This is going to be the distance from the rocket to the camera (this is the hypotenuse of the triangle)
Now that we have sides, we can solve for the height. The height is the distance from the launch pad to the rocket, so it will be side b. We know that the camera is 5000 ft away from the launch pad, so we can say that side a is 5000 ft. It also tells us the camera is angled up at 27 degrees, so we can say angle B is 27 degrees.
We have a known side that length that is adjacent to a known angle inside of a right triangle, and we want to find the length of the opposite side. In this situation we can use the function tangent.
tan(theta) = opposite / adjacent
If we plug values into this equation we get:
tan(B) = b / a
tan(27 degrees) = b / 5000
b = tan(27 degrees) * 5000
b = 2547.627
b rounded to the nearest foot is 2548 ft, which is answer B
help me please !!!will give brainliest
Answer:
1. C
2. B
3. B
4. A
Answer:
1)c 2)b 3)b 4)a
Step-by-step explanation:
ez
The number of people y (in millions) who have a driver's license can be estimated by the linear equation y=2.3x+190, where x is the number of years after 2000.
y=2.3x+190
y= 95.
hope it's help
Can someone please help
Answer:
I think is b
Step-by-step explanation:
Ii just did the math and I think is b
What number is represented by the point plotted on the number line? A horizontal number line from negative 2 to 2, with arrows at each end. Major tick marks are at every 1 unit and the units are labeled below the number line. There are 5 evenly spaced minor tick marks between every 2 major tick marks. Point X is plotted on the third minor tick mark to the right of 1. 12 112 123 212
Answer:
-7/8
Step-by-step explanation:
The point is located between -1 minus, 1 and 0.
Let's zoom in on this piece of the number line. Each whole is split into eight equal parts, or eighths.
The point is located -7/8.
How many solutions does 4x + 5 = 6(x + 3) - 20 - 2x have? Show your work.
Answer:
X∈∅
Step-by-step explanation:
4x + 5 = 6(x + 3) - 20 - 2x
distribute the 6
4x+5=6x+18-20-2x
collect like terms
4x+5=4x+18-20
4x+5=4x-2
cancel equal terms
5=-2
statment is false for any value of x
X∈∅
9q-4= 3r-6
What does r=
Solve the equation using addition or subtraction
22 + 15 = d - 17
Answer:
d=54
Step-by-step explanation:
22 + 15 = d - 17
37=d-17
54=d
d=54
Answer:
d=44
Step-by-step explanation:
22+15=37 so ?-17=37 well its 44 because 44-17=37
Which lizard is growing at a constant rate?
A.Chuck
B.Betty
C.
Snapper
D.Rocky
54 ft = ____ yd 9. 11 L ≈ ____ qt 10. 80 g = ____ kg
i need help with this
Answer:
54 ft = 18 yd 9. 11 L ≈ 11.6236 qt 10. 80 g = 0.08 kg
Step-by-step explanation:
Mario baked cookies for the class party.
The students ate
3
4
of what Mario brought.
The students on his bus ate
1
3
of what was left.
Mario had 6 when he got home.
How many cookies did Mario bake?
Answer:
He made 53 cookies
Hi, help will be appreciated, thanks
Answer:
y= 60 degrees; x= 6 times square root of 3
Step-by-step explanation:
Look up 30-60-90 triangle rules
On Monday, a local hamburger shop sold a combined total of 270
hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?
y = 4x - 6
y = 4x + 10
What is the solution to the system?
Answer:
No Solution
Step-by-step explanation:
y = 4x - 6
y = 4x + 10
You can set them equal to each other because they both are y.
4x-6=4x+10
-6=10
No Solution
Round 94584 to the nearest hundreds
Answer:
94600
Step-by-step explanation:
A hundred has 2 zeroes. To round a number to the nearest hundreds, just look at the last 2 digits (84). If it is 5 or bigger, add 1 digit (as I did in this exercise) and so it becomes 94600.
im new can anyone help
Answer:
We have the equation:
[tex]W = W_0*(\frac{1}{2})^{0.36*t}[/tex]
Where:
W₀ is the initial area of the wound, and t is the time in days.
Now, if we initially have a wound of 25 mm^2, then:
W₀ = 25mm^2
And we can replace it in the equation, then we get:
[tex]W = (25mm^2)*(\frac{1}{2})^{0.36*t}[/tex]
We want to know the size of this wound after:
a) 1 day.
We know that t represents time in days, so here we just need to replace t by one, then:
[tex]W = (25mm^2)*(\frac{1}{2})^{0.36*1} = 19.5 mm^2[/tex]
b) 1 week
Again, t represents the time in days, so we need to write this in days.
We know that:
1 week = 7 days.
then t = 7
The size of the wound after 7 days is:
[tex]W = (25mm^2)*(\frac{1}{2})^{0.36*7} = 4.36 mm^2[/tex]
9. What is the sales tax on an item that costs $67.00 if the state sales tax is 6.5%?
A. $435
B. $4.35
C. $3.35
D. $.45
Answer:
B
Step-by-step explanation:
Answer:
B. $4.35
Step-by-step explanation:
to find your sales tax you just have to do [cost of the item] x [ percentage as a decimal]= sales tax
so in your case it would be [$67.00] x [0.065] = $4.35
12,10,12,13,9,11,8 mean median and mode
Answer:
Mean: 10.7
Median: 11
Mode: 12
Hope you find this helpfull:)
Shirts at A water park come in green or yellow they come in small or large they also have short Sleeves oat long sleeves how many Combinations of different colors size and sleeve are there
If x + 15 = 30, what is the value of 2(x – 5)?
PLEASE ANSWER TODAY!!!
Answer:
Answer is 20
Step-by-step explanation:
X+15=30
30-15= 15 so that means 15+15=30
2(x-5) X is 15 so 15-5=10 then multiply by 2.
The required value of 2(x – 5) is 20 when the equation is x + 15 = 30.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question, as follows
x + 15 = 30
First, we can solve for x by subtracting 15 from both sides of the equation:
x + 15 - 15 = 30 - 15
x = 15
Next, we can substitute this value of x into 2(x – 5):
2(x – 5) = 2(15 – 5)
2(x – 5) = 2(10)
2(x – 5) = 20
Therefore, the value of 2(x – 5) is 20.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ6
PLEASE ANSWEAR IM FALLING MATH :((( .. Maniah has a meal in a restaurant. She adds up the prices listed on the menu for everything they ordered and gets a subtotal of $57. When the check comes, it says they also need to pay $4.23 in sales tax. What percentage of the subtotal is the sales tax?
A.
2.41%
B.
0.0742%
C.
4.23%
D.
7.42%
Answer:
D
Step-by-step explanation:
To find the answer, input this into your calculator
4.23/57 × 100
This gives the percentage of 7.42% (rounded)
hope this helps :)
What is the 3rd term of a geometric sequence with a common ratio of 1/3 and a first term of 90
Happy Tuesday peeps brainliest and 5 star rating!!!!!!!!!!!!!!!!!
If Maureen from example 3 works overtime, she receives an hourly rate times her regular hourly rate. What is Maureen's hourly overtime rate?
x cuanto multiplico 15 para q m de 100?
Answer:
1500 is your answer
Step-by-step explanation:
Answer:
no hay numero entero y el decimal es un numero infinito.
Step-by-step explanation:
si dividimos 15/100 nos da un total de 3.333+ asi que no hay un numero entero que nos de este resultado
what are some equations
Answer:
It requires of two equations
Step-by-step explanation:
example:
2x +7y = 12
I need helppp pleaseeeeeeeeeeee
Answer:
what do you need help with
Step-by-step explanation:
Please help..Thank you❤️
Answer:
answer b <3
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
280*(17/100) = 47.6
PLEASE HELP!
what is the distance between points A and B shown in the graph below?
choices:
A: square root of 2
B: square root of 98
C: 10
D: 14
what is the explanation to x^2 = -5x
*Answer*
x=0 or x=−5
Step-by-step explanation:
Let's solve your equation step-by-step.
x2=−5x
Step 1: Subtract -5x from both sides.
x2−−5x=−5x−−5x
x2+5x=0
Step 2: Factor left side of equation.
x(x+5)=0
Step 3: Set factors equal to 0.
x=0 or x+5=0
x=0 or x=−5
A recipe requires 4 cups of milk you can only use 3/4 how many 3/4 cups do you need
Answer:
You would need 5 3/4 cups of milk.
Step-by-step explanation:
It's right! Brainliest?