Answers
Answer:
Step-by-step explanation:
h = -6[tex]t^{2}[/tex] +20t + 4
I will use calculus, maybe that's not how you're supposed to do this
-12t +20 =0
12t = 20
t = 20 /12
t = 1 [tex]\frac{8}{12}[/tex]
t = 1 [tex]\frac{2}{3}[/tex]
there will be a max at 1.6666666666 seconds
-6*[tex]1.6666666666666^{2}[/tex] + 20 * 1.6666666666 +4
= 16.666666666666 + 33.333333333333 + 4
= - 16[tex]\frac{2}{3}[/tex] + 33 [tex]\frac{1}{3}[/tex] + 4
= 20[tex]\frac{2}{3}[/tex] feet max height ( not too high, for a rocket)
time of flight:
0 = -6[tex]t^{2}[/tex] +20t + 4
use quadratic formula to find t
-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*4 ] / 2*(-6)
-20 +- sqrt [400 + 96 ] / -12
-20 +- sqrt [496 ] / -12
-20 +- 22.27105 / -12
try the negative option 1st
-42.27105 / -12
3.522 seconds. time of flight
when will the rocket be at 12' ? :
12 = -6[tex]t^{2}[/tex] +20t + 4
0 = -6[tex]t^{2}[/tex] +20t -8
use quadratic formula again to find t
-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*(-8) ] / 2*(-6)
-20 +- sqrt [ 400 - 192 ] / -12
-20 +- sqrt [208 ] / -12
-20 - 14.4222 / -12
-34.4222 / -12
2.8685 seconds ( on the way down)
and
-20 + 14.4222 / -12
-5.578 / - 12
0.4648 seconds ( on the way up )
Related Questions
MARKS BRAINLISET
PLEASEE HELPPP
Answers
Answer:
One student has lived in 7 states
Step-by-step explanation:
DUS is a 30°-60°-90° triangle with short leg SU. If SU = x, determine the
length of the long leg and the length of the hypotenuse.
Answers
Answer:
SD = 2x
UD = x[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.
SU is the shorter leg = x
So, SD = 2x
The longer leg of a 30-60-90 triangle is [tex]\sqrt{3}[/tex] times the shorter leg.
So, UD = x[tex]\sqrt{3}[/tex]
Answer:
Below in bold.
Step-by-step explanation:
In a 30-60-90 triangle the sides are in the ratio 1:√3:2 so if the shortest side SU = x then the long leg = √3x and the hypotenuse = 2x.
please help version 2
Answers
Answer:
16°
Step-by-step explanation:
2x° + 6° = 38°
x° = (38°- 6°)÷2=16°
The diameter of a circle is 22 meters. What is the circle's area?
Answers
Answer:
Step-by-step explanation:
A=3.14 x 22m x 22m
A=69.08m x 22m
A=1519.76m2 (squared po yan)
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answers
Answer:D..the diagonals bisect each other. Since bisectors divide the diagonals equally in two parts.
Answer:
C.
Step-by-step explanation:
Which factors of −14 are used to factor x2+5x−14?
Answers
Answer:
+ 7 and - 2
Step-by-step explanation:
Given
x² + 5x - 14
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
x² + 5x - 14 = (x + 7)(x - 2) ← in factored form
Find the value of x
Answers
Answer:
11
Step-by-step explanation:
[tex]\left(6x+4\right)+10x=180[/tex]
[tex]16x+4-4=180-4[/tex]
[tex]16x=176[/tex]
[tex]\frac{16x}{16}=\frac{176}{16}[/tex]
[tex]x=11[/tex]
I NEED HELP ASAP!!! What is the value of a?
Answers
9514 1404 393
Answer:
C. 17.25
Step-by-step explanation:
The product of distances from the common point to the two circle intersection points is the same for each secant.
5(5+12) = 4(4+a)
69 = 4a . . . . . . . . subtract 16, simplify
17.25 = a . . . . . . . divide by 4
can some help 10 points and brainllest for the first answer
Answers
Answer:
1. 24w+8
2. 4s+28t
3. 150-75b
What is the value of x in the diagram below??
Answers
Answer:
2.6
Step-by-step explanation:
Just divide 5 by 13 to get 2.6 then times 5 and 2.6 is 13
15 point:Which label on the cone below represents the center of the base?
Answers
Answer:its C because the base is the bottom of the figure and C goes to the middle point at the bottom of the figure
Step-by-step explanation:
A diagram shows a kite and its frame.
Answers
Answer:
indeed it does
Step-by-step explanation:
wheres the diagram exactly?
Find the area of a circle with a circumference
of 50.24 units.
units2
Use 3.14 for II and label your answer in square units. Ex: 4 square units OR 4 units squared
Answers
Answer:
Hello! answer: 200.96
Step-by-step explanation:
50.24 ÷ 3.14 = 16 16 ÷ 2 = 8 8 × 8 × 3.14 = 200.96 therefore are area is 200.96 HOPE THAT HELPS!
Answer:
200.96
Step-by-step explanation:
Khan academy
A right cone has radius 5 ft and slant height 9 ft. The radius and slant height are both multiplied by 1/2. Which of the following correctly describes the effect on the surface area? Help ASAP!!!
Answers
Answer:
The surface area is multiplied by 1/4.
Step-by-step explanation:
A hat's original price was $50. It is on sale for 40%0ff. How much does it cost?
Answers
Answer:
30
Step-by-step explanation:
40/100 x 50= 20
50-20=30
Answer:
30.00
Step-by-step explanation:
HELP ASAP PLEASE
(3^2)^4
Answers
Answer:
6561
Step-by-step explanation:
3^2= 3*3=9 9^4= 9*9*9*9= 6561
Answer:
[tex]((3)^2)^4 = (9)^4 = 6561\\\\\\OR\\\\\\(3)^2)^4= 3^8 = 6561[/tex]
What is simplifying? I honestly know what it is, but I forgot the definition.
Answers
Mancuso wants to draw a sector whose area is 2 times the area of the sector shown
Which method will NOT work?
Answers
Answer:
Multiply the radius, r, by 2. Keep the angle measure x.
Step-by-step explanation:
The area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that Mancuso wants to draw a sector whose area is 2 times the area of the sector shown.
The area of the sector given is -
A = {x/180} x πr²
For the area to be double, we can write the area of the sector as -
A{new} = 2 × {x/180} × πr²
A{new} = {x/90} × πr²
Therefore, the area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².
To solve more questions on sectors, visit the link-
brainly.com/question/29014197
#SPJ2
7/2 x+1/2x=1/2+9/2x help
Answers
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]
Step 1: Simplify both sides of the equation.
[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]
[tex](\frac{7}{2}x+\frac{1}{2}x)=\frac{9}{2}x+\frac{1}{2}[/tex] (Combine Like Terms)
[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]
[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]
Step 2: Subtract [tex]\frac{9}{2}x[/tex] from both sides.
[tex]4x-\frac{9}{2}x=\frac{9}{2}x+\frac{1}{2}-\frac{9}{2}x[/tex]
[tex]\frac{-1}{2}x=\frac{1}{2}[/tex]
Step 3: Multiply both sides by [tex](\frac{2}{-1})[/tex].
[tex](\frac{2}{-1})*(\frac{-1}{2}x)=(\frac{2}{-1})*(\frac{1}{2})[/tex]
[tex]x=-1[/tex]
Therefore, [tex]x=-1[/tex] will be your final answer.
Sorry this took very long. I had to calculate all of this.
56. What is the domain and range of the
graph below?
Answers
9514 1404 393
Answer:
domain: x ≥ -5range: y ≥ -1Step-by-step explanation:
The graph of this square root function extends upward and to the right of the point (-5, -1). The domain is the horizontal extent of the graph, so is ...
x ≥ -5
The range is the vertical extent of the graph, so is ...
y ≥ -1
A shop has a sale and reduces all its prices at the rate of 15k in naira. Find the sale price of an article marked at 740 naira.
Answers
Answer:
Sales price of article = 629 naira
Step-by-step explanation:
Given:
Discounted rate = 15%
Marked price of article = 740 naira
Find:
Sales price of article
Computation:
Sales price of article = Marked price of article [1 - Discounted rate]
Sales price of article = 740[1 - 15%]
Sales price of article = 740[1 - 0.15]
Sales price of article = 740[0.85]
Sales price of article = 629 naira
PLEASEE HELP WITH THIS IMAGE!! WILL GIVE BRAINLIEST!!!!
Answers
Step-by-step explanation:
area of the triangle
1/2xbxh
1/2(12x9)
1/2(108)
area of triangle is 54in²
area of rectangle
2(L+W)
2(15+6)
2(21)
area of rectangle is 42in²
Total area is 96in²
Answer:
323
This link could help u understand:
https://www.you tube.com/watch?v=HtXPpqKud5U
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
Arc measure - Hello! Can you please help me and if you can explain the formula that would be awesome!
Answers
9514 1404 393
Answer:
88°
Step-by-step explanation:
Angle MQP is called an "inscribed angle." Its vertex (Q) is on the circle, and its sides are chords of the circle. The ends of the sides intercept arc MP. The relationship between an inscribed angle and the intercepted arc is that the measure of the arc is twice the measure of the angle.
arc MP = 2×∠MQP = 2×44°
arc MP = 88°
In the diagram, △ABC∼△DEF. The area of △ABC is 12 square inches. Find the area of △DEF
Answers
Answer:
A=3
Step-by-step explanation:
so the scale factor from ABC to DEF is 1/4. so 8*1/4 is 2 which is what they give us. so 12 *1/4 would be 3. The area of DEF is 3.
Please help I’m failing the class!! also please show your work if possible thanks!
Answers
9514 1404 393
Answer:
m∠c = 52°
Step-by-step explanation:
Corresponding angles are congruent:
13x +11° = 15x -7° . . . . . the corresponding angles have equal measures
18° = 2x . . . . . . . . . . . . add 7° -13x to both sides
9° = x . . . . . . . . . . divide by 2
Now, we can find c. It is supplementary to the corresponding angles.
c = 180° -(15x -7°) = 180° -15(9°) +7° . . . . . substitute for x
m∠c = 52°
Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true about the dilation?
Answers
Answer:
A triangle is dilated by scale factor of 1/5
Step-by-step explanation:
A triangle has three sides. All the corresponding angles of triangle must be congruent. When the triangle is dilated it is rotated 90 degrees clockwise about its origin. The shape of the triangle will not change due to rotation of dilation.
Write an equation in slope intercept form of the line that passes through the points
Answers
Answer:
B
Step-by-step explanation:
Y=MX+C , where y=slope intercept, m=gradient and C=y-intercept
-5=6(-6)+c
-5=-36+c
-5+36=c
C=31
Hence,
y=MX+c
y=6x+31
Consider the diagram below with parallel planes D and N.
Which of the following statements about the figure are true? Select all that apply.
FA is a line, line segment, and a ray.
Lines rands are perpendicular,
Ray RO and Ray CA form an angle.
A FA is a line, line segment and a ray
B lines r and s are perpendicular
C Ray RO and Ray CA form an angle
D M and C are Collin war and coplanar
E F, O, and R are coplanar in D
F Ray MC and Ray CA form a 90 degree angle
G using segment addition postulate, FO + OC = FA
Answers
Answer:A
Step-by-step explanation:line segment
2 1/8 - 1/2
PLEASE TELL ME STEP BY STEP AS FAST AS POSSIBLE
THANK YOU!
Answers
[tex]2\frac{1}{8} - \frac{1}{2} = \frac{8*2+1}{8} - \frac{1}{2} = \frac{17}{8} - \frac{1}{2} = \frac{17}{8} - \frac{1*4}{2*4} = \frac{17}{8} - \frac{4}{8} = \frac{17-4}{8} = \frac{13}{8} = 1\frac{5}{8}[/tex]
Which statement below compares the decimals correctly? (3 points) A 0.63 < 0.48 B 0.48 = 0.63 C 0.63 > 0.48 D 0.48 > 0.6
Answers
Answer:
[tex](c)\ 0.63 > 0.48[/tex]
Step-by-step explanation:
Given
[tex]0.63[/tex] and [tex]0.48[/tex]
Required
Which compares them correctly
[tex](a)\ 0.63 < 0.48[/tex]
This is incorrect because 0.63 is greater
[tex](b)\ 0.48 = 0.63[/tex]
This is also incorrect because 0.63 is greater
[tex](c)\ 0.63 > 0.48[/tex]
This is also correct because 0.63 is greater
[tex](d)\ 0.48 > 0.63[/tex]
This is also incorrect because 0.63 is greater