45 feet deep
Step-by-step explanation:
First the formula for Parabola is: 4py=x2, we will make it as if it were in the center of the graph.
Now P is the distance from the vertex to the focus or to the directrix which is equal to 20.
4(20)y=x2
80y=x2
Now we just have to use one knwon value of X in the maximum point of the dish, is the diameter of the dish is 120 feet that is the maximum x, and we know that 120 feet is te distance between the widest -x and x, so those would be: -60 and 60.
We will use 60 as our value:
[tex]80y=x^{2} \\80y=60^{2} \\80y=3600\\y=\frac{3600}{80} \\y=45[/tex]
So we know that the depth of the parabolic dish is 45 feet.
In this exercise we have to use the knowledge of depth to be able to calculate the depth that is being seen by the telescope, in this way we can say that:
[tex]45 \ feet \ deep[/tex]
First, knowing that the formula for the parabola is:
[tex]4py=x^2[/tex]
Now P is the distance from the vertex to the focus or to the directrix which is equal to 20, we can say that:
[tex]4(20)y=x^2\\80y=x^2[/tex]
Now we just should use individual knwon financial worth of X fashionable the maximum point of the dish, exist the measurement across object of the eating receptacle exist 120 extremities that is to say the maximum x, and we understand information that 120 extremities is heavy distance middle from two points the expansive -x and x, so those hopeful: -60 and 60.
[tex]80y=x^2\\80y=60^2\\80y=3600\\y=45[/tex]
See morea bout depth at brainly.com/question/694922
help the time will finish
Answer:
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In the given figure what is the measure of arc BC
Answer:
48°Step-by-step explanation:
Both angles A and D intercept same arc BC, hence congruent:
7x - 4 = 2x + 167x - 2x = 16 + 45x = 20x = 4Arc measure is twice the measure of inscribed angle:
mBC = 2(7*4 - 4) = 48what is the slope of the line passing through the points (2,5) and (0,-4)?
Answer:
9/2
Step-by-step explanation:
Which ostrich is fastest x= second Y= feet look at picture
Answer: It is S.
Step-by-step explanation:
S: y= -1/4x + 2
+1/4 +1/4
y = 2 1/4x
What fraction benchmark is .58 closest to?
Answer:
See below:
Step-by-step explanation:
So, since we aren't given any options, there isn't a limit to what it is.
But, assuming you said fraction benchmark it has to be somewhere between 1/2 2/3 3/4 etc.
Now, we can convert the fractions to their equivalent decimal form
1/2 = 0.5
2/3 = 0.66 repeating.
3/4 = 0.75
Now, we can see that 0.58 is 8 units away from 0.66
We can see that it is also 8 units away from 0.5.
But, seeing to that 2/3 is 0.66 with a ton of sixes, it would in theory be away by 8.66 compared to 8 from 0.5
Therefore, we get the closest benchmark is 1/2 (0.5)
find difference
54.59- 26.61
A. 81.20
B. 38.98
C. 32.18
D. 27. 98
Answer:
D
Step-by-step explanation:
Answer:
D) 27.98
Step-by-step explanation:
All you have to do is subtract, have a nice day <3
Donovan bought 5 1/2 kilograms of flour for $8.25. How much does it cost to buy 1 kilogram of flour?
Answer: Donovan paid less than $1.25 per kilogram of flour
Donovan paid less than $1.25 per kilogram of flour.
What is the zero of the function represented by this graph?
9514 1404 393
Answer:
x = -6
Step-by-step explanation:
The zero is where the graph crosses the line y=0 (the x-axis). It is also called the x-intercept.
That point is (-6, 0). The x-value there is -6.
__
Some folks like the x-value only; others like the ordered pair. Of course the y-value in the ordered pair is 0, which is what makes it a zero of the function.
A large serving of soup from a take-out restaurant is 4/5 liter. The restaurant has 3 liters of soup. The diagram models the number of servings of soup.
How many servings of soup does the restaurant have?
Answer:
The answer is 2 and 2/5 i hope this can help.
Step-by-step explanation:
the ratio 7 : 350? what the answer to this promblem
Answer:
17
Step-by-step explanation:
Answer: 17:850
Step-by-step explanation:
A Ratio explains how two commodity or items are related and how much of one is contained in another. in the ratio 7 : 350, 7 is contained in 350 by 50 times, this is gotten by dividing 350 by 7 to get a reduced ratio of 1:50. :(Tip-Divide the first number by the second.)
Please help
What value of b makes the trinomial below a perfect square?
X^2-bx+16
Answer:
D) 8Step-by-step explanation:
Given trinomial:
x² - bx + 16It has two perfect squares and a variable with negative coefficient.
It can be representing a:
(m - n)² = m² - 2mn + n²If we substitute m with x and n with 4, we'll get 2mn = 2*x*4 = 8x.
This gives us b = 8
(x - 4)² = x² - 8x + 16Any hot topic online promo codes???
graph the equations to solve the system y=1/2x+2 y=1/2x+4
Answer:
y=1/2x+2
y=1/2x+4
(1/2x+1/2x)+2+4
2/2x+6
I think it may be the answer
You saved $140 on your new laptop because you bought it online. If this was a 20% savings from the original price, Find the original cost of the laptop.
Please help me please help me help please help me please
Answer:
Slope = 3/1
Step-by-step explanation:
Slope equals y/x
For every 2 units of increase for the x value, there is an increase of 6 in y value
y/x = 6/2
6/2 = 3/1
Salina wants to buy a dress that sells for $55.00. If the sales tax is 8%, exactly how much will the dress costs?
Answer:
$44
Step-by-step explanation:
it's math
Answer:
$59.4
Step-by-step explanation:
Turn the percentage into a decimal.
8% = 0.08
Multiply.
55 * 0.08 = 4.4
Add.
59.4
Best of Luck!
there are a total of 45 bikes. if the ratio of blue bikes to black bikes is 4 to 5, how many of the bikes are blue?
Answer:
20
Step-by-step explanation:
4 + 5 = 9
45 / 9 = 5
4 * 5 = 20
hope this helps
2 pts
Sammy wants to buy a new stereo priced at $439. He enters into an agreement to pay
$22 a month for 24 months. How much will the finance charge be for this purchase?
State your answer in terms of dollars rounded to the nearest cent (hundredth).
Answer:
$308
Step-by-step explanation:
I am not sure if this is correct. But try it and let me know if it was
How do I solve 3 - 4.5 =
Answer:
-1.5
Step-by-step explanation:
3.0 - 4.5 is the same as 3.0 + (-4.5)
in this instance you subtract 3.0 from 4.5 and keep the sign of the larger number, which is 4.5 (you disregard the negative sign)
shen works mowing lawns and babysitting. he earns $9.40 an hour for mowing and $7.80 an hour for babysitting. how much will he earn for 4 hours of mowing and 6 for babysitting?
Answer:
$84.40
Step-by-step explanation:
mowing: $9.40/hour
babysitting: $7.80/hour
4 hours mowing + 6 hours babysitting =
= 4 × $9.40 + 6 × $7.80
= $37.6 + $46.8
= $84.40
Answer:
$84.40
Step-by-step explanation:
$9.40 · 4 + $7.80 · 6 = ?
9.4 · 4 = 37.60
7.8 · 6 = 46.80
37.60 + 46.80 = $84.4
I hope this helps!!
Need help with this:/
9514 1404 393
Answer:
y = -2x +2
Step-by-step explanation:
The slope is the y-change divided by the x-change:
m = (y2 -y1)/(x2 -x1)
m = (0 -2)/(1 -0) = -2
The y-intercept is the y-value when x=0: b = 2.
The slope-intercept equation is ...
y = mx +b
y = -2x +2
A suit was marked with a 10% discount.
If the discount is $16.00, what was the original price of the suit?
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve the problem in 2 steps, one being Solving and the other being Comprehending. I'll start off with comprehending.
Comprehending
So, we know that 10% of a number is $16. That means that [tex]\frac{1}{10}[/tex] of the number "[tex]x[/tex]" is equal to $16.
A percentage is basically a fraction of something, for example, 25% of a number would be [tex]\frac{1}{4}[/tex] of the same number.
Example:
25% of 10 = [tex]\frac{1}{4} * 10 = 2.5[/tex]
2.5 is 25% of 10 = [tex]2.5 \div \frac{1}{4}=10[/tex]
Now that we know the basics, we can do the real solving.
Solving
To solve, the question, we can first read the problem and make an equation,
"10% of [tex]x[/tex] is 16."
We can then make a equation.
[tex]x(\frac{1}{10})=16[/tex]
[tex]x=16 \div \frac{1}{10} \\x=160[/tex]
After solving, we know that 10% of 160 is equal to 16. We can prove that with the following:
[tex]16*10=160[/tex]
After solving our equation, we can see that the answer is $160.
$16 is 10% of $160.
Cheers!
Given 3 + 7 + 11 + 15 + ... find S20
pls solve this thanks
Find the area of the shape below
Answer:
Total Area = 235cm^2
Step-by-step explanation:
Step 1 ) we have our lengths 11 and 20 so we need to separate the into 2 shapes Step 2) Label and draw new shape 20-11 = 9 to show (Shape square 1) = measuring 9 *9 and another (Shape Rectangle 2) = 11* 14 Step 3) Show how you do the multiplication of Square shape 9* 9 = 81cm^2 and Area Rectangle 11 * 14 = 154 cm^2 Total Area = 81+154 = 235cm^2 You can if you like in table multiplication show 11*14 by adding a zero underneath the 14 = 140 +14 = 154 then add and show +81 = 235cm^2 It is always easier to retain a shape if subtracting to get a 2nd shape this way it saves time with subtraction and in my example only needed to subtract 20-11 = 9 then 9*9 = 81cm^2 to retain the 14 *11 = 154cm^2 area for the rectangle
Answer:
Step-by-step explanation
full rectangle area (see figure) - small rectangle area
14 * 20 - [(14 - 9) *(20 - 11)] =
280 - (5 * 9) =
280 - 45 =
235 cm²
5$ pick up fee and 0.25$ per mile steady shuttle chargers 2$ pick up fee and 0.50 per mile
Answer:
rbghjkieknwhbkhw2l1;p
Step-by-step explanation:
Which ratio is equivalent to 5:9? with a twist ( only those options)
Divide the option with 4 so that you can get the equivalent ratio to 5:9 .
guys help me with this question
Blank 1: 7
Blank 2: 3
Blank 3: 2
Blank 4: 2
Vinnie is searching online for airline tickets. Two weeks ago, the cost to fly from Hartford to Denver was $220. Now the cost is $305. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer: 58
Step-by-step explanation:
Answer:
Question 1. 38.6 % 2. 61.4%
Step-by-step explanation:
(New Cost - Old Cost) ÷ old Cost × 100
(305 - 220) ÷ 220 x 100
= 85/220 x 100
= 38.6 %
2. New Cost 305 + 50 = $355
(Now new cost - old cost) ÷ old cost × 100
(355 - 220) ÷ 220 × 100
= 135/220 × 100
61.4%
can someone help me i really don't want to fail class
let's firstly convert the mixed fractions to improper fractions and then add/subtract.
[tex]\stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}}~\hfill \stackrel{mixed}{7\frac{1}{5}}\implies \cfrac{7\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{36}{5}} \\\\[-0.35em] ~\dotfill\\\\ 8\frac{1}{3}~~ +~~\left( -7\frac{1}{5} \right)\implies \cfrac{25}{3}+\left( -\cfrac{36}{5} \right)\implies \cfrac{25}{3}-\cfrac{36}{5}\implies \stackrel{\textit{using }\stackrel{LCD}{15}}{\cfrac{(5)(25)~-~(3)(36)}{15}}[/tex]
[tex]\cfrac{125-108}{15}\implies \cfrac{17}{15}\implies \stackrel{\mathbb{POSITIVE}}{1\frac{2}{15}}[/tex]
