Answer:
The searchlight should be 6.25ft deep
Step-by-step explanation:
Given
[tex]Across = 20ft[/tex]
[tex]Base = 4ft[/tex]
Required
The depth of the searchlight
[tex]Across = 20ft[/tex] implies that the search light span 10 units to either side of the x-axis
[tex]Base = 4ft[/tex] implies that the search light span 4 units to the y-axis
The attached image illustrates the revolution.
From the attached image, the endpoints of the searchlight is:
[tex](x,y) = \{(-10,4), (10,4)\}[/tex]
The depth (a) of the search light is calculated using:
[tex]x^2 = 4ay[/tex]
Make a the subject
[tex]a = \frac{x^2}{4y}[/tex]
Substitute -10 or 10 for x and 4 for y
[tex]a = \frac{(-10)^2}{4*4}[/tex]
[tex]a = \frac{100}{16}[/tex]
[tex]a = 6.25ft[/tex]
A $550 T.V is discounted by 30%. It is then discounted another 10%
Answer:
$346.5
Step-by-step explanation:
10% of $550 is 55
3*55 = 165
550 - 165 = $385
10% of $385 is 38.5
385 - 38.5 = $346.5
Have a nice day! :-)
What is the average of the integers from 25 to 41?
27
33
36
66
Answer:
B. 33
Step-by-step explanation:
The average of the terms of a contiguous subsequence of any arithmetic progression is the average of the first and last terms.
To see this, notice that if you remove 25 and 41 from your sequence, then the average of the remaining terms is still given by the average of the extreme terms
Is the point (4,11) a solution to the following system of equations? How do you know?
y=2x+14
y=3x−5
find the slope(4,9),(1,6)
plz help
Answer:
slope: m = 1
Step-by-step explanation:
Can somebody recommend me some horror, psychological, yandere, and/or thriller anime?
Anything besides these would be appreciated:
1. Angels of Death
2. Shiki
3. Re:Zero
4. Corpse Party
5. Magical Girl Site
6. Happy Sugar Life
7. SCHOOL-LIVE!
8. Talentless Nana
9. Higurashi
10. Wonder Egg Priority
11. Shadows House
12. Blood C
13. To Your Eternity
14. Puella Magi Madoka Magica
15. Another
16. The Lost Village
17. Serial Experiments Lain
18. Chaos;Head
Answer:
the future diary
Step-by-step explanation:
I watched Future Diary on Hulu, its a really good anime, its more of a yandere type of anime, hope you enjoy it!
what is 2+2 4+4 8+8 i need math help
Answer:
2+2 is 4 4+4 is 8 8+8 is 16
Step-by-step explanation:
if you need them added up here: 4+8 =12 12+16 = 28
KHAN ACADEMY HELP pls
Answer:
image
Step-by-step explanation:
plzzz give me brainliest
Find the number of degrees in the missing angle of each triangle below
Answer:
A=44
B=58
C=103
D=118
E=138
F=22
Step-by-step explanation:
Hope this helps
Suppose that 40% of cars in your area are manufactured in the U.S., 30% in Japan, 10% in Germany, and 20% in other
countries. Determine the following probabilities.
a. a car selected at random is made in Germany or Japan
b. a car selected at random is not US-made
c. two cars are selected at random, both are from Japan
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include
your calculations in your answer.
Answer:
A) The probability that a randomly chosen car is made in Germany or Japan is 40%.
B) The probability that a car chosen at random is not made in the United States is 60%.
C) The probability that two randomly chosen cars are both from Japan is 9%.
Step-by-step explanation:
Supposing that 40% of cars in my area are manufactured in the US, 30% in Japan, 10% in Germany, and 20% in other countries, to determine the probabilities that a car selected at random is made in Germany or Japan, a car selected at random is not US-made and two cars are selected at random, both are from Japan, the following calculations must be performed:
A)
(30 + 10) / 100 = X
40/100 = X
0.4 = X
Therefore, the probability that a randomly chosen car is made in Germany or Japan is 40%.
B)
(30 + 10 + 20) / 100 = X
60/100 = X
0.6 = X
Therefore, the probability that a car chosen at random is not made in the United States is 60%.
C)
10/30 x 10/30 = X
0.3 x 0.3 = X
0.09 = X
Therefore, the probability that two randomly chosen cars are both from Japan is 9%.
Somebody Please help!!!
Answer:
176
Step-by-step explanation:
8+8+64+64+16+16
Drag numbers into the blanks to rewrite the square roots.
square root -5 (it doesnt let me put the symbol. whats the answer?
Answer:
Step-by-step explanation:
for a lot of math classes they just tell you "don't take the square root of a negative number" Then when you see this [tex]\sqrt{-5}[/tex] it looks all wrong. But, just think of the two things under the radical as
[tex]\sqrt{-1*5}[/tex]
now, take the -1 out of the square root as " i "
i[tex]\sqrt{5}[/tex]
and if you want to put it into correct complex form
0 + i[tex]\sqrt{5}[/tex]
Please help me with this:
A teacher decorated her classroom with 3 times as many balloons as paper fans. She used 12 fewer streamers than twice the number of paper fans. If the teacher had a total of 120 balloons, paper fans, and streamers, how many of each kind of decoration did she use?
Answer:
She used 22 paper fans, 66 balloons, and 32 streamers.
Step-by-step explanation:
In order to solve this problem, we need to find out the value of the paper fans. Because we need to find out the balloon amount, which is 3 times as much. The amount of streamers is 12 fewer than two times. We can't find it out just yet since we don't know the value of the paper fans. To find it out:
First, let's call the amount of paper fan as "x".
Then, we need to find out the amount of balloons. It is 3 times x. Which is the same as 3x.
The equation is now x + 3x + (?) = 120
We need to find out the amount of the (?).
So, to do that, it says the value is 12 fewer than 2 times the value of x. (x, because it is the amount of paper fans.)
It should be 2x-12.
Now, the equation is x+3x+2x-12=120.
Once we solve it, we know "x" is 22.
Now, we can multiply 3 by 22. Which is 66.
Then we can multiply 22 by 2, which is 44, and subtract 12, which is 32.
To double check, 22 + 44 + 32 = 120.
That's your answer!
Answer:
Step-by-step explanation:
its 22, and 66, and 32
Mr. Thompson is buying rulers for his class.
Which option gives Mr. Thompson the best price per ruler?
A. 4 rulers for $1.00
B. 50 rulers for $15.00
C. 100 rulers for $20.00
D. 200 rulers for $30.00
Answer:
D: 200 rulers for $30.00. You have quite a few choices! You may need to find out the percentage [%] of each first.
Step-by-step explanation:
A: 1 Ruler for $0.25
B: $0.30
C: $0.20
D: $0.15
Find the volume of the cube below
What voltage is required to force 4.5 amperes of current through an electric iron having a resistance of 25.5 ohms
Answer:
V = 114.75 Volts
Step-by-step explanation:
Ohm's Law V = IR
I = 4.5 A
R = 25.5 Ω
V = (4.5)(25.5)
V = [4×25.5] + [0.5×25.5]
V = 102 + 12.75
V = 114.75 Volts
What is the probability that I will roll a 4 on a standard number cube?
Answer:
the probability of rolling any single digit on a 6-sided fair cube is 1/6
Select the ratio equivalent to tan(A).
A. 5/13
B. 5/12
C. 13/12
D. 12/5
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer: 125.6 inches cubed.
Step-by-step explanation:
Formula for cylinder volume: Volume=(pi times radius cubed) times height
3.14 x 4(radius)=12.56
12.56 x 10 (height) = 125.6
Hope this helps
Katy put $3000 into his bank account. If the account pays 6% interest compounded continuously, when will it be worth $6000? Round to 3 decimal places.
Answer:
11.55 years
Step-by-step explanation:
Given data
Principal= $3000
Rate= 6%
Final Amount= $6000
expression for the time is given as
t = ln(A/P) / r
Substitute
t= ln(6000/3000)/0.06
t= ln(2)/0.06
t= 0.693/0.06
t= 11.55 years
Hence the time is 11.55 years
Simplify the expression:
9f2 - 10 - 1 + 2/2 + -772
Answer:
4f^2-11
Step-by-step explanation:
3360832553 ____ pass___ wZE2XQ
Answer:
what is this?
Step-by-step explanation:
if you elaborate I am more then happy to help
Answer:
.
Step-by-step explanation:
-12+2(-4)-7= help me understand how to figure out how to get this answer
Answer:
- 27
Step-by-step explanation:
- 12 + 2( - 4) - 7
- 12 - 8 - 7
-20 - 7
- 27
geometry help pleaseeee
Answer: 11
Step-by-step explanation:
[tex]48=4x+4[/tex] (angles opposite congruent sides in a triangle are congruent)
This gives that x = 11
In APQR, T, U and S are points of tangency. PR = 12 units. Find TR.
Answer:
TR = 3 units
Step-by-step explanation:
PR = 12 units
PS = 9 units
PU = PS = 9 units (tangents drawn from an external point are congruent)
RU = PR - PU
RU = 12 - 9
RU = 3 units
TR = RU = 3 units (tangents drawn form an external point of a circle)
TR = 3 units
Write the equation in standard form of the circle whose diameter has endpoints of (-2, 4) and (8,-6).
Answer:
(x - 3)^2 + (y + 1)^2 = 50.
Step-by-step explanation:
The center of the circle is the midpoint of the diameter
= (-2+8)/2 , (4 - 6)/2
= (3, -1).
The radius^2 can be calculated from one point on the circle ( -2, 4) and the center (3, -1).
The radius^2 = (-2-3)^2 + (4- -1)^2
= 25 + 25 = 50.
So the equation of the circle
is (x - a)^2 + (y - b)^ = r^2 where (a, b) is center and radius = r.
= (x - 3)^2 + (y + 1)^2 = 50
The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?
Answer:
1.5 feet
Step-by-step explanation:
V = base area x height
divide the two members by the base area
height = V/ base area
height = 13.5 / 9 = 1.5 feet
19 students were surveyed on the number of hours of Netflix they watched last week.
The data from the survey is below:
{0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 10, 11}
What is the range in hours spent watching Netflix?
Show your work for full points!
Answer:
Solution given:
lowest =0
highest=11
the range in hours spent watching Netflix=
highest-lowest =11-0=
Range is 11.
Answer:
Solution : here ,
lowest = 0
Highest = 11
the range in hours spent watching Netflix
=highest — lowest
= 11 —0
= 11
the range = 11
hope it is helpful to you
If the graph of y = - x ^ 2 translated horizontally 7 units to the right and translated vertically 6 units upwards, what’s the new equation?
9514 1404 393
Answer:
y = -(x -7)² +6
Step-by-step explanation:
Replacing x with (x-h) translates the graph h units to the right. You want h=7.
Replacing f(x) with f(x)+k translates the graph k units upward. You want k=6.
These transformations make the new equation be ...
y = -(x -7)² +6
Plz help this is urgent
Answer:
D
Step-by-step explanation:
The table represents some points on the graph of a linear function.
What is the slope of the graph of the linear function?
Answer:
1 over 2
Step-by-step explanation:
9-(-7)=-2
-8-(-4)-4
-6-(-3)=-3
-2-4=-6
When you simplify both of the fractions -2 over -4 and -3 over -6
You get 1 over 2 as the slope for both. 1/2