Answer:
i) 524.25feet
ii) 11secs
Step-by-step explanation:
1) Given the height of the rocket modelled by the equation
h = -16t² + 180t + 18 where
t is in seconds
At the maximum height, the velocity of the object is zero.
v(t) = dh/dt = 0
dt/dt = -32t + 180
0 = -32t + 180
32t = 180
t = 180/32
t = 5.625secs
Get the maximum height
h = -16t² + 180t + 18
h = -16(5.625)² + 180(5.625) + 18
h = -16(31.640625)+ 180(5.625) + 18
h = -506.25+1,012.5+18
h = 524.25feet
Hence the maximum height a launched item could reach is 524.25feet
ii) The item will hit the water at h = 0
Substitute inti the expression
h = -16t² + 180t + 18
0 = -16t² + 180t + 18
16t² - 180t - 18 = 0
Divide through by 2
8t² - 90t - 9 = 0
t = 90±√90²-4(8)(-9)/2(8)
t = 90±√8100+288/16
t = 90±√8,388/16
t = 90±91.586/16
t = 90+91.586/16
t = 181.586/16
t = 11.35sec
Hence the item hit the water after 11secs (to nearest whole number)
ILL GIVE BRAINLY THING!!!!Solve the equation by completing the square.
12 – 180 + 58 = 0
O A. I = 9 + V23
OB. I = 9 + V139
OC. I = -9 + V23
OD. = -9 + V139
Answer:
Step-by-step explanation:
x^2-18x+58=0
[tex]x^{2}[/tex] - 18x + [tex](-9)^{2}[/tex] +58 = [tex](-9)^{2}[/tex]
[tex](x-9)^{2}[/tex] +58 = 81
[tex](x-9)^{2}[/tex] = 23
x - 9 = [tex]\sqrt{23}[/tex]
x = [tex]\sqrt{23}[/tex] + 9
:) there you go answer A) might be good
A hockey player takes 150 shots each week. Sixty percent of these shots go in. How many shots do NOT go in?
A rural homeowner had his television antenna held in place by three guy wires, as shown in the following figure. If the distance to each of the stakes from the base of the antenna are the same, what is true about the lengths of the wires? Explain using congruence theorems.
Answer:
E
Step-by-step explanation:
Help =10 point plus Brinsley thing fast
Answer:
20x + 5
all you really need to do is multiply the 4x and the 5. you just leave the + 5 alone
Look at this inequality.
5y > 14
Which value for y makes the inequality true?
A. 1.5
B. 2
C. 2.8
D. 3
Answer:2.8
Step-by-step explanation:
2.8
WHAT IS 1/2 + 1/9 PLEASE ANSWER! AND EXPLAIN I NEED MY GRADE UP!!!
Answer:
11/18
Step-by-step explanation:
1 2 + 1 9 = ? The Least Common Multiple (LCM) of 2 and 9 is 18. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM: 1 2 + 1 9 = 1 × 9 2 × 9 + 1 × 2 9 × 2 = 9 18 + 2 18 Now that the fractions have like denominators, add the numerators: 9 18 + 2 18 = 9 + 2 18 = 11 18 The result is: 1 2 + 1 9 = 11 18
so 11/18 is you answer
Answer:
11/18
Step-by-step explanation:
Get the common denominator by multiplying 2 and 9.
Multiply both sides of 1/2 by 9 to get 9/18, and both sides of 1/9 by 2 to get 2/18.
[tex]\frac{1}{2} +\frac{1}{9} = \frac{9}{18} + \frac{2}{18} = \frac{11}{18}[/tex]
After adding both fractions you'll get 11/18. That's your answer.
Solve 3x2 + x - 10 = 0. Round solutions to the nearest hundredth. (5 points) a x ≈ −5 and x ≈ 2 b No real solutions c x ≈ −2 and x ≈ 1.67 d x ≈ −1.67 and x ≈ 2
Answer:
c) x ≈ −2 and x ≈ 1.67
Step-by-step explanation:
Solve 3x²+ x - 10 = 0.
We solve using Almighty formula
-b ± √b² - 4ac/2a for equation: ax² + bx + c
where a = 3, b = 1, c = -10
Hence
-1 ± √1² - 4 × 3 × -10/2 × 3
-1 ± √1 - (-120)/6
-1 ± √1 + 121/6
-1 ± √121/6
-1 ± 11/6
Hence:
-1 - 11/6
-12/6 = -2
-1 + 11/6
= 10/6
= 1.67
Therefore, x = -2, x = 1.67
Option c) x ≈ −2 and x ≈ 1.67 is the correct answer
Find the area of each sector.
3)
1350
14 yd
251
A)
18051
12
yd?
B)
yd?
12
1471
C) 161 yd?
D)
yd?
2
Maryanne went to lunch with a friend. The bill was $35.60 before tax. Sales tax rate is 7.25%, and she
decided to leave a 15% tip. What was the final total of her lunch bill?
Answer:
$43.91
Step-by-step explanation:
Calculating Total Cost. Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax (in decimal form) = total sales tax. Add the total sales tax to the Item or service cost to get your total cost.
$35.60 + $2.58 (tax) = $38.18
$38.18+ $5.73 (tip at 15%) = $43.91 total
hope this helps you!
Evaluate the expression when a=6 and b = 50.
b-4a
Answer:
26
Step-by-step explanation:
sub it it
50-(4×6)
50-24
Round your answer to the nearest hundredth.
A
4.
?
B
С
3
Answer:
a. 4.00
b. 3.00
I hope this helps
Write the first five terms of the geometric sequence, given a1= -16 and r= -1/4
Answer: -16, 4, -1, 1/4,?
Step-by-step explanation: the nth term of a GP is given by Un= ar^n-1
Where n= the term.
So substituting the values for each term will give you the answer above. I don't know if it's tiredness or what but my fifth term gives me the same value as my fourth term.
Please please please help me with this
Answer:
Apparently the picture is pitch black so I don't understand what you need help with. Sorry.
Step-by-step explanation:
State if the triangles in each pair are similar.
Which is the best estimate for √34 to the nearest whole number
Answer:Other than using a calculator to get an approximate value (
5.83
) for
√
34
,
√
34
can not be simplified
Step-by-step explanation:The only factors (
>
1
) of
34
are
2
and
17
Since neither of these are a square,
√
34
has no simplification.
PLEASE HELP WILL
MARK BRAINLIST
The two triangles are similar. b = 19, y = 9, and a = 26, what is the value of x? Round your answer to the nearest tenth (1
decimal place).
At the end of her work day at the Ferguson Corporation, Sarah usually
walks to the subway station to travel home. Today, she is walking to the
Springdale Town Center first to take care of some errands. She will then
continue walking to the subway station to travel home. The map of these
routes is shown below.
2000 feet
Subway
Ferguson
Corporation
Station
Springdale
Town Center
If Sarah walks to the Springdale Town Center from the Ferguson
Corporation and then to the Subway Station, how much farther will she
walk than if she walks directly to the Subway Station from the Ferguson
Corporation? Show all of your work.
Answer:
1263.7032 feets
Step-by-step explanation:
Distance from Ferguson corporation to Springdale Town center ; let the distance = x
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 27 = x / 2000
0.5095254 * 2000 = x
1019.0508 feets
Distance from Springdale to Subway station, this is the hypotenuse :
Hypotenuse = √(1019.0508² + 2000²)
Hypotenuse = √5038464.7
Hypotenuse = 2244.6524 feets
Total distance walked from Ferguson to Springdale, then to Subway ;
(1019.0508 + 2244.6524) feets = 3263.7032 feets
Additional distance walked :
(3263.7032 feets - 2000 feets) = 1263.7032
In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:
[tex]H=1263.7032 feets[/tex]
We can use the definition of tangent to calculate:
[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]
Now using the Pythagorean theorem we have:
[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]
See more about triangles at brainly.com/question/2269348
A camera has a listed price of $511.99 before tax. If the sales tax rate is 7.75%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary,
Answer:
$551.70
Step-by-step explanation:
Price before tax= $511.99
Cost of the tax= 7.75/100×511.99
= $39.679
Total cost of the camera= $511.99+$39.679
= $551.669
≈ $551.70
28 out of the 50 students in the 4th grade love chocolate ice cream. What percentage of the 4th graders DO NOT love chocolate ice cream?
Answer:20%
Step-by-step explanation: multiply 40 x 50=2,000
2,000 divided by 100= 20%
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
first of all chill lol
anyway here are the ways to factor the following trinomials:
6:
[tex]x^2-7x-30=(x-10)(x+3)[/tex]
7:
[tex]x^2-10x+24=(x-6)(x-4)[/tex]
:)
I need help I think we are almost done ;-;
Answer:
C)
Step-by-step explanation:
Name all the expressions that are equivalent to 3x+6y+7x-14
Select all
A.) -10x-14
B.)2(2x + 3y - 7)
C.)4x - 6y + 14
D.)4x+6y - 14
E.)10x + 6y - 14
Answer:
The answer to the question is E
Step-by-step explanation:
E is the only answer out of the choices to be equivalent to 3x+6y+7x-14
use the spinner to find the fractional probability of each event, i need it in decimal and fraction form.
Answer:
go on MATH.WAY
Step-by-step explanation:
it was the answers and explanation
Giving brainlist to whoever answers
Answer:
retangular prism
Step-by-step explanation:
What is the volume of this rectangular prism?
Answer:
20 cm³
Step-by-step explanation:
Identify the volume of a regular hexagonal pyramid with base edge length 8 in. and height 10 in.,
rounded to the nearest tenth.
Answer:
554.3 m^2
Step-by-step explanation:
https://brainly.com/question/17542967?referrer=searchResults
The volume of a regular hexagonal pyramid will be 554.3 cubic inches.
What is the volume of the pyramid?Let h be the height of the pyramid, l be the slant height, and A be the base area of the pyramid. Then the volume of the pyramid will be given as,
Volume = (1/3) × A × h
The base area is calculated as,
A = 6 x (1/2) x 8 x 8 x sin 60°
A = 3 x 8 x 8 x 0.866
A = 166.28 square inches
The volume of a regular hexagonal pyramid is calculated as,
V = 1/3 x 166.28 x 10
V = 554.3 cubic inches
More about the volume of the pyramid link is given below.
https://brainly.com/question/17615619
#SPJ2
A student broke this trapezoid into two triangles. She says she has enough information to find the area of it. Is she correct? Explain your answer. A trapezoid is broken into 2 triangles. One triangle has a base of 4 inches and a height of 6 inches. The other triangle has a base of 6 inches and a height of 5 inches.
Answer:7
Step-by-step explanation:
1erg2erg
Answer:
Yes. The base and height can be determined for both triangles. Use the formula A = 12
bh to find the area of each, then add them to get the area of the trapezoid. 10 + 15 = 25 in.2. this is a sample response i got from E D G E N U I T Y
Step-by-step explanation:
I've eliminated A & B already, I Just need help with the volume. NO LINKS!!
Answer:
Step-by-step explanation:
Area of equilateral triangle = ([tex]\sqrt{3}[/tex]/4) * [tex]2^{2}[/tex]
1.732050 * 7 = 12.123[tex]mm^{3}[/tex]
In what quadrant is(-3,-7) located?
Answer:
start by going to the left three spaces over on the "X" axis (-3)
then go down seven spaces until both the "X" axis is over -3 and the -7 is on "Y" axis
(hope I helped)
What is the correct answer?
Answer:
pink
Step-by-step explanation:
,pink is the only logical option