Answer:
The focus of the parabola is (10, 10.0[tex]\overline 5[/tex])
The directrix of the parabola is, y = 1.0[tex]\overline 5[/tex]
The maximum height reached by the ball = 5.[tex]\overline 5[/tex] meters
The vertex of the parabola is (10, 5.[tex]\overline 5[/tex])
Step-by-step explanation:
The general equation of a parabola is y = a·(x - h)² + k
The vertex of the parabola = (h, k)
At 2 meters (horizontal) before landing, the height, h = 2 meters
∴ We have;
2 = a·(2 - h)² + k
2 = a·(18 - h)² + k
(2 - h)² = (18 - h)²
h² - 4·h + 4 = h² - 36·h + 324
36·h - 4·h = 324 - 4
h = 320/32 = 10
h = 10
2 = ut -0.5×9.81×t²
The
The time it takes the ball to fall 2 meters =
y = a·x² + b·x + c
h = -b/(2·a)
At y = 0, x = 0, therefore, c = 0
2 = a·2² + b·2 + c = 4·a + 2·b
2 = 324·a + 18·b
k = a·10² + b·10
20·a = -b
k = 100·a - 200·a = -100·a
2 = a·(2 - 10)² + k = 64·a + k
2 = 64·a + k = 64·a - 100·a = -36·a
a = 2/(-36) = -1/18
a = -1/18
a = 1/(4·p)
∴ 4·p = -18
p = 18/4 = 4.5
The focus of the parabola = (h, k + p) = (10, 10.0[tex]\overline 5[/tex])
The directrix, y = k - p = 1.0[tex]\overline 5[/tex]
k = 100× -1/18 = 5.[tex]\overline 5[/tex]
The maximum height reached by the ball = 5.[tex]\overline 5[/tex] meters
The vertex of the parabola = (10, 5.[tex]\overline 5[/tex])
Help me no wrong answer and answer ASAP please help me!!!!
Answer:
You probably already answered, but the first option would be correct <3
If you want an explanation tell me!
20 points.
Round off x to the nearest tenth.
Answer:
[tex]x=15.3[/tex]
Step-by-step explanation:
In right triangles only:
The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)
The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)
Therefore, we have the following equation:
[tex]\sin 58^{\circ}=\frac{x}{18},\\x=18\sin 58^{\circ}\approx \boxed{15.3}[/tex]
Alternative:
[tex]\cos 32^{\circ}=\frac{x}{18},\\x=18\cos32^{\circ}\approx \boxed{15.3}[/tex]
Find the slope of the line that passes through the points (-6,6)and(4,-2).
Answer:
=-4/5
Step-by-step explanation:
To find the slope, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -2 -6)/(4 - -6)
= (-2-6)/( 4+6)
= -8/10
=-4/5
hey! i’ll give brainliest thanks
Solve the inequality and describe the solution set.
y–6≥12
Answer:
y ≥ 18
All numbers greater than or equal to 18
Step-by-step explanation:
y – 6≥ 12
Add 6 to both sides
y ≥ 18
All numbers greater than or equal to 18
Amy bakes x cakes.
Barry bakes four times as many cakes as Amy.
Ceri bakes 12 more cakes than Amy.
They bake a total of T cakes.
Find a formula, in terms of x, for the total number of cakes.
Give your formula in its simplest form
Answer:
6x+12=T
Step-by-step explanation:
Amy bakes x cakes.
Barry bakes 4x.
Ceri bakes x+12
So the total is 6x+12=T
Which measure of variation is found by placing the data in ascending order and subtracting the lowest value from the highest value?
Answer:
Range
Step-by-step explanation:
The range of a given set of data is the difference between the largest value and the smallest value in the data. For convenience and ease in the calculation, it is advisable to place the data in ascending order.
For example, given the following set of data:
4,9,5,6,2
To find the range;
=> First arrange the data in ascending order
2,4,5,6,9
=> Find the smallest and largest numbers and then find their difference.
Since the data has been arranged, it is obvious to see that the smallest number is 2 and the largest number is 9.
Therefore the;
range = 9 -2 = 7
A Cylinder with
a volume of 27π
in 3 and a height
of 3 in. What is
the radius?
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Surface Areas and Volume.
==> Volume of Cylinder = πr^2h
==> 27π = πr^2(3)
==> 27 = r^2 (3)
==> r^2 = 9
==> r = 3 inch
hence the radius is 3 inches.
Can you help me i really need it
Answer:
Your wrong, it’s B.
X axis = Number of Bottles of water sold
Y axis = Number of dollars collected
So, (x,y)
That means, (Number of Bottles of water sold,Number of dollars collected)
Finally, (10,20) means he sold 10 bottles of water for $20.
Hope that helped!
Step-by-step explanation:
anwers:
B: cameron sells 10 bottles of water for $20
Simplest form X^3+X^2-6x-6
Answer:
Factor x3+x2−6x−6
x3+x2−6x−6
=(x+1)(x2−6)
Answer:
(x+1)(x2−6)
Step-by-step explanation:
Need ALL of the RIGHT answers for this math quiz pls. ASAP
Answer:
1.54cm 2. 112m 3. 576cm 4. 52ft
Step-by-step explanation:
Find sin(B) in the triangle.
a- 4/3
b- 3/5
c- 4/5
D- 3/4
Look at the picture of the graph below, select all the answers
that apply to the graph.
Which of the following expressions is equivalent to -6?
A: -9 + 15
B: 9 - (-15)
C:-9 - 15
D: 9 + (-15)
An isosceles triangle has base length 18 cm and height 4cm what is the approximate length of the two other sides
Answer:
The approximate length of the two other sides is 10cm
Step-by-step explanation:
Given
[tex]Base\ Length = 18[/tex]
[tex]Height = 4[/tex]
Required
The length of the two other sides
Divide the triangle to 2 (See attachment)
Considering one of the triangles, we have:
[tex]l^2 = 4^2 + 9^2[/tex]
[tex]l^2 = 16 + 81[/tex]
[tex]l^2 = 97[/tex]
Take square roots
[tex]l = \sqrt{97[/tex]
[tex]l = 9.8488[/tex]
[tex]l = 10[/tex] --- approximated
PLEASE HELP! WILL GIVE BRAINLIEST TO THE FIRST ANSWER THAT SHOWS STEPS!
Frankie bought a new computer. He made an initial payment of 50$ to the store, and he will pay 30$ each month until the computer is paid off. Which equation represents the relationship between m, the number of monthly payments Franke has made, and t, the total amount that Frankie has paid the store?
A. t=50m+30
B. t = 30m - 50
C. t = 50m - 30
D. t = 30m + 50
Answer:
Inital payment is 50 so no matter what there is going to be a plus 50.
Then 30 each month, we use m as a way of representing months.
you put that together and you get 30m+50
Answer:
d: t= 30m +50
Step-by-step explanation:
Frankie is paying $30 each month, meaning multiplication is used (30m). He only makes one initial payment so thats why +50 is there.
Bailey has 30 dolls. 18 of them have brown hair. Which
represents the portion of Bailey's dolls
that have brown hair?
I posted this to see if this app is legit so …ASAP pls
Answer:
.6 or 60% or 3/5
Step-by-step explanation:
the way to solve this is to take the amount of dolls that have brown hair, 18, and divide it by the total amount of dolls, 30. this gives you the proportion you asked for, you can then simplify that proportion into 3/5, or any of the other forms i gave you
*side note, i really enjoy this app there are alot of very experienced and knowledgeable people on here that are happy to help with whatever question you have in any subject, as long as it is school related
if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest
The length of a rectangle is shown below: If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (5 points) Question 8 options: 1) C(−2, −1), D(1, −1) 2) C(−2, −4), D(1, −4) 3) C(−2, −2), D(1, −2) 4) C(−2, −5), D(1, −5)
please help asap! i’ll try to mark you brainliest if you get it right and can explain!
Marianne sold 3 times as many T-shirts as Brayan. Marianne sold 36 T-shirts. Write and solve
an equation to find how many T-shirts Brayan sold.
Help please!
Thanks.
Answer:
6a is the answer I believe.
If i'm wrong correct me in comments.
Help me solve all my math problems and I will mark you ask a brainly thing
what is 6 divided by 1164
Answer:
[tex] \blue{ \boxed{ \boxed{ \sf{6 + 1164 = 0.00515463917}}}}[/tex]
[tex] \sf \pink{ = = = > \: jazmine}[/tex]
What is the volume of the Cube?
132 cubic inches
726 cubic inches
1331 cubic inches
33 cubic inches
Answer:
1331 cubic inches
Step-by-step explanation:
volume = 11×11×11 = 1,331 in³
Divide. Give the exact answer, written as a decimal.
Answer:
11.12
Hope this helps-
Step-by-step explanation:
if the amount of money you have matched ur phone number, how much do you have?
Answer: lma0
Step-by-step explanation:
Answer:
45 even tho my mine broke xD
have a good day :)
Step-by-step explanation:
The legs of a right triangle measure 6 centimeters and 8 centimeters. How long is the hypotenuse in centimeters?
A. 10cm
B. 11cm
C. 9cm
D. 7cm
Answer:
10cm ( A )
Step-by-step explanation:
This would use the Pythagorean Theorem. That means it would be -
a^2_b^2= c^2, in this case, you have 2 of your legs already so those two values would be a&b. you would stick those two into the equation and it should look like this:
6^2+8^2=c^2
then 36+64=c
and then 100=c
after that, you would take the square root of c to get
10!
Answer:
10cm
Step-by-step explanation:
[tex]Hypotenuse^{2}[/tex] = [tex]base^{2} + altitude^{2}[/tex]
The hypotenuse can be taken as 'x'. As given in the question, the length of base is 8cm and the altitude is 6cm. So substituting these in the equation, we get:-
[tex]Hypotenuse^{2}[/tex] = [tex]8^{2} + 6^{2}[/tex]
[tex]Hypotenuse^{2}[/tex] = 64 + 36
[tex]Hypotenuse^{2}[/tex] = 100
Hypotenuse = [tex]\sqrt{100}[/tex]
Hypotenuse equals 10cm!
Aileen is decorating for the grand opening of the town's new courthouse. The entrance is marked by two stone columns that each stand 4.5
meters tall and a semicircular arch above the columns. She has a hung a 2-meter-long welcome banner between the two columns, and she
wants to line the entrance with a garland.
WELCOME!
2 m
4.5 m
If the garland will cover the inside edge of the entrance, from the bottom of the columns to the top of the arch, how many meters of
garland will Aileen need?
Answer:
I am not sure but I think it is 11
Step-by-step explanation:
I am so very sorry if im wrong :/
Using the formula above P= 2w + 2L, Find the value of the Width of the rectangle
Answer: 17
Step-by-step explanation: You take 47, multiply it by 2 and you should get 94. Subtract 128 and 94 which =34. Since the perimeter = 2 times the original width you divide that by 2 and get 17.
Step-by-step explanation:
[tex]P = 2w + 2l \\ P = 2(w + l) \\ 128 = 2(w + 47) \\ w + 47 = 64 \\ w = 17 \: cm[/tex]
How to make a data set with only 5 numbers. And so the mean is 7, the median is 7, and the mode is 5?
Answer:
5,5,7,8,10
Step-by-step explanation:
mode=5 so that would appear the most so start with 5,5
median=7 that would be the middle number so 7 would be next
when you add 5+5+7=17 now just choose any number to add to 17 and I choose 10 which makes 17+10=27.
mean=7 so that means the total has to be divided by how many numbers you have, which is 5. So the total divided by 5 should equal 7. Since have 27, the number divided by 5 to get 7 is 35. So, add to 27 to get 35 which would be 8.
27+8=35 that is your total. Now divide by 5 to get the mean of 7.