PLEASE HELP!!!!! A satellite telescope has a parabolic dish. Satellite signals are collected at the focal point (focus) of the
parabola. The distance from the vertex of the parabolic dish to the focus is 40 feet. The vertex of the dish is
located at a point 50 feet above the ground and 100 feet to the east of a computer that reads and records
data from the telescope. The diameter of the dish is 160 feet.
Answers
The dish illustrates operations on a parabola.
The depth of the parabolish dish is 160 feet.
The bowl is said to be a parabola.
So, we have:
[tex]\mathbf{(x -h)^2 = 4p(y - k)}[/tex]
Where:
[tex]\mathbf{Focus: p = 40}[/tex]
[tex]\mathbf{Vertex:(h,k) = (0,0)}[/tex]
From the question, the diameter is 160 feet.
So, the radius (r) is:
[tex]\mathbf{r = \frac{160}{2} = 80}[/tex]
So, the coordinate of the depth of the parabola would be:
[tex]\mathbf{(x,y) = (60 + 100,y)}[/tex]
[tex]\mathbf{(x,y) = (160,y)}[/tex]
Substitute these values in [tex]\mathbf{(x -h)^2 = 4p(y - k)}[/tex]
So, we have:
[tex]\mathbf{(160 - 0)^2 = 4 \times 40 \times (y -0)}[/tex]
[tex]\mathbf{160^2 = 160y}[/tex]
Divide both sides by 160
[tex]\mathbf{160 = y}[/tex]
Rewrite as:
[tex]\mathbf{y = 160 }[/tex]
Hence, the depth of the parabolish dish is 160 feet.
Read more about parabolas at:
https://brainly.com/question/4074088
Related Questions
In 1995, the cost of tuition at a large Midwestern university was $146 per credit hour. In 2001, tuition had risen to $200 per credit hour.
Determine a linear equation to represent the cost, C, of tuition as a function of x, the number of years since 1990. (Assuming the cost increases by the same amount each year.)
Linear Equation:
In the year 2008, tuition will be ($ )per credit hour.
In the year( ) , tuition will be $317 per credit hour
Answers
Answer:
72 is the correct answer
Answer:
I believe 72 is the correct answer
Step-by-step explanation:
right please no link or bot
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Answer:
3^18
Step-by-step explanation:
Hope it helps
Answer:
3^3
Step-by-step explanation:
24. Find the perimeter and area of the triangle below.
базь
2a3b
4ab
Answers
Answer:
Answer to the first part: 8a³b + 4ab
Step-by-step explanation:
Perimeter = distance around the three sides
P = 6a³b + 2a³b + 4ab
P = (6a³b + 2a³b) + 4ab add like terms
P = 8a³b +4ab Simply
The value of the perimeter and area of the triangle are,
20.52 cm² and 28.68 cm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, By Using Pythagoras theorem to find the base of the triangle as;
a² = 6² - 3²
a ² = 27
a = √27
And, b² = 9² - 3²
b² = 72
b = √72
Hence, Base = √27 + √72
= 13.68
So, We get;
Area = 0.5 x 13.68 x 3
Area = 20.52 cm²
And, The value of perimeter is,
Perimeter = 9 + 6 + 13.68
= 28.68
Thus, The value of the perimeter and area of the triangle are,
20.52 cm² and 28.68 cm
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
What methods do you know that can be used to solve a quadratic equation?
Answers
Answer: If the quadratic equation has real, rational solutions, the quickest way to solve it is often to factorise into the form (px + q)(mx + n), where m, n, p and q are integers. This is especially true where the coefficient of x2 is 1.
Example 1 - Solve x2+7x+12=0
Step-by-step explanation:
that's the only one I remember
Answer:
factoring, using the square roots, completing the square and the quadratic formula.
Step-by-step explanation:
What is 6 tens = ? Ones
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Given that A = 60° and B = 30'. evaluate (sin
2 cos A) + cos B. leaving your answer in surd
form
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5.) I somehow got $50 to buy hair dye, so I got 4 bottles of hair dye I had 5 dollars left, how
much was the hair dye?
Answers
Answer:
10
Step-by-step explanation:
is the answer
mark me as brainlestAnswer:
The hair dye was $11.25
Step-by-step explanation:
4x+5=50
4x=45
x=11.25
Classify each term in the expression 3+6ab+c as a constant term or a variable term.
Answers
Answer: 3 is constant term, 6ab is variable term, and C is variable term
Answer:
3: Constant term, 6ab: Variable term, C: Variable term
Step-by-step explanation:
Shylan's vegetable garden is florishing. She has 20 plants in her garden which are broken into equal rows. 1/5 of the rows are cucumbers and 40% of the rows are squash. 1/2 of the remaining rows are tomatoes. How many pepper plants does she have?
Answers
Answer:
Step-by-step explanation:
Answer:4
Step-by-step explanation:
??????????????????????
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Answer:
f(x) = x^(1/3) -3
With a translation of three down
y < -2x + 1
x + 2y > -4
Answers
Answer:
99
Step-by-step explanation:
5x+ 6-21=9+3x .Solve for x.
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Answer:
x= -3
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
pls give brainliest hope helpful
Points A(8,4)&B(-2,4) lie on a line .AB is parallel to which axis
Answers
Solve x2+12x=82 using completing the square. Answer the questions below.
Answers
Answer:
exact form : x = ± √ 118 − 6
Decimal form : x = 4.86278049 or − 16.86278049
Step-by-step explanation:
Use the formula ( b /2 ) ^2 in order to create a new term. Solve for x by using this term to complete the square.
If your goal is to retire with at least $1 million, how long would it take—and how much would you need to invest each month—if your anticipated rate of return is 10%? At what age could you retire if you started investing at age 25?
Answers
Answer:
There is no simple one size fits all answer to this question, because I need a few more variables to solve it. Or you can go to bankrate.com and use the millionaire calculator and figure it out on your own. I put a sample in the photo.
Hope this helps!;)
Step-by-step explanation:
1. Your age= 25
2. Target age=? obviously you don't want to be too old to spend it.
3. Current investments=? how much are you starting with 0 or more?
4. Savings per month=? only you know how much you can set aside out of your income
5. Expected rate of return=10%
6. Expected inflation rate= 2.9% (last I heard 2021)
Correct answer will get brainiest
Answers
Answer:
( i ) ∠AOB = 72
( ii ) ∠BOC = 67
( iii ) ∠COD = 134
( iv ) ∠AOD = 87
Step-by-step explanation:
Sum of angles in a circle is 360,
a + b + c + x = 360
72 + 67 + 134 + x = 360
273 + x = 360
x = 360 - 273
x = 87
∠AOB = a = 72
∠BOC = b = 67
∠COD = c = 134
∠AOD = x = 87
Step-by-step explanation:
From the diagram,
AOB = a= 72
BOC = b = 67
COD= c = 134
&
AOD+AOB + BOC+ COD= 360 [Angle ofcomplete turn]
or,AOD + 72+67+134= 360
or,AOD +273=360
or AOD= 360-273=87degree
Yen paid $10.50 for 2.5 pounds of pretzels. What price did she pay for each pound of pretzels?
After dividing 25 into 105, the next step is to
25 by 4.
The next step is to
100 from 105.
The next step is to
the next number.
Answers
The first step is to Multiply The next step is to Divide.
Ok so if you were wondering what to do on the box that says this
Move Decimal
Divide
Multiply
Subtract
Bring down
On this, I agree with myself. The solution is straightforward. Simply click them in the sequence listed, beginning with the first and ending with the last. Wow, what sleuthing I did. I realize it's not much, but I was perplexed by this as well, so you could be as well. So here we go with the actual answer. To tackle these sorts of issues, you must employ a technique known as PEMDAS, which stands for.
Parenthisis
Exponent
Multiply
Divide
Add Subtract
I realize I spelt the first one incorrectly, but it's 2 a.m. and I'm doing homework for you. Now we must consider whether or not this has any parenthesis. This particular issue does not. Now we must determine whether or not this issue has exponents, which it does. As mentioned in the response box on the lesson's main page. So we have to consider that (spelled incorrectly, but who cares, it's math class)Now we multiply by a power of ten, so the divisor is a whole number. The following step is to divide by calculating how many times 25 equals 105. I realize it was stolen from the question, but whatever. So there was the explanation; I realize I didn't answer the entire problem, but I didn't have to; it wasn't in the cards.
How do you write 3.866 x 10^15 in standard form?ASAP BRAINLIST
Answers
Answer:
3866000000000000
Step-by-step explanation:
you move the decimal 15 spaces to the right
what is the state income tax deducted from gross pay of $864 with state income tax of 4%?
Answers
Step-by-step explanation:
$864 of 4%
864/100 x 4
=8.64 x 4
=34.56
Therefore, the total income tax deduction is 34.56.
Colby has a square placemat. The area of the
placemat is 3 square feet
What is the exact perimeter of the placemat?
Use the number pad to enter your answer in the box
The exact perimeter is
ft help please
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Answer:
Step-by-step explanation:
12
Taco Tuesday math paper restraint
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What is the slope of the line that contains these points?
Answers
Answer:
8
Step-by-step explanation:
Let,
x1 = 0
x2 = 1
y1 = 18
y2 = 26
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( 26 - 18 ) / ( 1 - 0 )
= 8 / 1
Slope = 8
Helppp I’m in class and need answers
Answers
Answer:
Need answers for what? I would LOVE to help you hun but I cant help because there is nothing to answer.
Step-by-step explanation:
Help Please, Missing Geometry Class because I am sick and don't understand this.
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Answer:
niether do i
Step-by-step explanation:
What is the y-intercept for the equation 4x+2y=6?
Answers
Answer:
The y intercept is 3
(0,3)
Step-by-step explanation:
4x+2y=6
To find the y intercept, set x =0 and solve for y
4(0) +2y = 6
0+2y = 6
Divide by 2
2y/2 = 6/2
y =3
The y intercept is 3
(0,3)
how do you determine volume?
Answers
Answer: V = πr 2 h
Step-by-step explanation:
To calculate the volume of a cylinder, you must know its height and the radius of the circular base (the distance from the center of the circle to its edge) at the top and bottom. The formula is V = πr 2 h, where V is the Volume, r is the radius of the circular base, h is the height, and π is the constant pi.
How do you solve 4 over 5 times 3.75
Answers
Answer:
3
Step-by-step explanation:
First of all simplify 4/5 to .8
Then Multiply: .8*3.75=3
9514 1404 393
Answer:
4/5×3.75 = 3
Step-by-step explanation:
There are many solution strategies available. Among them are ...
use a calculator to find 4/5×3.75 = 3convert the numbers to decimal and multiply by hand 0.8×3.75 = 3.000compute 2(2×3.75)/5 = 2(7.5)/5 = 15/5 = 3 in your headconvert 3.75 to an improper fraction and multiply (4/5)(15/4)=15/5=3__
Additional comment
The mental arithmetic involved in adding a number to itself (doubling a number) is usually pretty easy. This means it is relatively easy to multiply by powers of 2, such as 4, 8, or 16. The second strategy listed above can be done in your head as ...
8/10×3.75 = 2×(2×(2×3.75))/10 = 2×(2×7.5)/10 = 2×15/10 = 30/10 = 3
The same product can be found as ...
8/10×3.75 = 8×(3.75/10) = 8×0.375 = 8×(3/8) = 3
In all cases, it is helpful to know your times tables, decimal equivalents of common fractions, and a few shortcut strategies for mental arithmetic. These are not difficult, but they do require you put some effort into memorizing them.
What is the opposite of V3?
Answers
Hope this helps
A 2-column table with 9 rows titled December Temperatures. Column 1 is labeled Day with entries 1, 2, 3, 4, 5, 6, 7, 8, 9. Column 2 is labeled Temperature (degrees Fahrenheit) with entries 33, 34, 42, 36, 39, 36, 39, 40, 44.
What is the interquartile range for the data set?
The answer is 6
Answers
Answer:
Step-by-step explanation:
I really need points but good luck with your question
The functions r and s are defined as follows.
r(x)= -2x-2
s(x)=2x² +2
Find the value of s (r (2)).
Answers
[tex]r(x) = -2x-2\\ s(x) = 2x^2+2[/tex]
[tex]s\big(r(2)\big) = s(-2\cdot 2-2) = s(-4-2) = s(-6) = 2\cdot(-6)^2+2 = 2\cdot 36+2 =\\ = 72+2 = 74[/tex]
[tex]\Rightarrow \boxed{s\big(r(2)\big) = 74}[/tex]
Answer:
74Step-by-step explanation:
Given functions:
r(x) = -2x - 2 s(x) = 2x² + 2Find s(r(2)) in steps:
r(2) = -2*2 - 2 = - 4 - 2 = - 6s(r(2)) = s(- 6) = 2(-6)² + 2 = 72 + 2 = 74