Step-by-step explanation:
Let the speed of bottle rocket be u and angle with horizon be A.
Then,
u= 13m/s
A= 55°
Now,
we know that,
x- component,
X= 13 cosA
Y-component,
Y = 13 sinA
=13×0.81915
=10.649 m/s ANS
Solve the equations below exactly. Give your answers in radians, and find all
possible values for t in the interval 0 (less than or equal to ) t (less than or equal to) 2 pi
If there is more than one
answer, enter your solutions in a comma separated list.
(a) sin (t) = - square root of 3 divide by 2
when t=
(b) cos (t) = 1/2
when t=
Answer:
See below (along with unit circle attached)
Step-by-step explanation:
[tex]sin(t)=-\frac{\sqrt{3}}{2}[/tex]
[tex]t=\frac{4\pi}{3},\frac{5\pi}{3}[/tex]
[tex]cos(t)=\frac{1}{2}[/tex]
[tex]t=\frac{\pi}{3},\frac{5\pi}{3}[/tex]
It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by [tex](cos(\theta),sin(\theta))[/tex] where [tex]\theta[/tex] is measured in radians.
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
about 5.1 units
Step-by-step explanation:
to find the length between two points you can use the pythaogorean theorem
5^2 + 1^2 = c^2
25 + 1 = c^2
26 = c^2
c is about 5.09901
rounding to the nearest tenth we get 5.1
How much money does drake make and how many houses does he have
Answer:
Step-by-step explanation:
Drake has 2 houses and makes $50,000,000
I need help on math true and false please
Answer:
Step-by-step explanation:
1. False
2. False
3. True
4. True
5. True
6. True
7. True
8. True
9. True
10. False
What’s a rational number between -1/6 and 1/9
Answer:
LCM of 6 and 9 are 18
1/6 = 1×3/6×3
= 3/18
= 3×10/18×10
= 30/180
1/9 = 1×2/9×2
= 2/18
=2×10/18×10
= 20/180
therefore rational no.s between 1/6 & 1/9 are
21/180,22/180,23/180,24/180,25/180,26/180,27/180,28/180,29/180
Step-by-step explanation:
sorry if im wrong
Answer:
1/18.
Step-by-step explanation:
-1/6 = -3/18 and 1/9 = 2/18
so one rational number between these values is 1/18.
Use the graph method to solve the system of linear equations:
2x + y = 3 and x + y = 3
A) (-1.5, 0)
B) (0, -1.5)
C) (0,3)
D) (3,0)
Answer:
C) (0,3)
Step-by-step explanation:
It would be that answer because I found the answer in a website. Its Math-way
Answer:
C) (0,3)Step-by-step explanation:
Graph each line on the same plane and take the point of their intersection.
Given linear equations:
2x + y = 3 and x + y = 3See the attached to confirm the answer is the point (0, 3)
help me plssssssssssssssssssssssssssssssss
Answer:
With what?
Step-by-step explanation:
Ask the question in the comments sections and I'll try to help you if I know the answer :)
A bicycle has a listed price of $643.95 before tax. If the sales tax rate is 6.75%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$687.42
Step-by-step explanation:
The total with tax is ...
(price) + (tax rate)×(price)
= price(1 +tax rate)
= $643.95×1.0675 ≈ $687.42 . . . price with tax
f(x) = {(1,0),(2,1),(3,-1),(4, -2),(-1,-2)
Find the inverse of the function
Rachel buys 1 gallon of milk. Her sister Abby uses 15 quarts of the milk in a recipe. Then her mother
uses 3 cups of the milk in a different recipe
Select all of the true statements below
O A Rachel's mother uses more milk than her sister Abby uses
B. There are 56 fluid Ounces of milk left
C. There are 9 cups of milk left
D. There is more than gallon of milk lett,
O E There is more than 5 gallon of milk left,
Answer:
Option B
Step-by-step explanation:
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
[tex]x = 2 \sqrt{3y} [/tex]
[tex]x = 0[/tex]
[tex]y = 7[/tex]
; about the y-axis
on this one, we proceed the same as the other, we start off by graphing them, Check the picture below. Now, we have a solid horizontal line at y = 7, that'd be our boundary, and a parabola that has a vertex at the origin, that's our other boundary, from 0 to 7.
In this case, is a solid area from the curve to the axis of rotation, so we can simply use the "disk" method to get the volume, lemme do it in the same way as "area under the curve", assuming h(y) = 0 for the axis of rotation
[tex]\textit{area under the curve}\\ \stackrel{f(y)}{2\sqrt{3y}}~~ - ~~\stackrel{h(y)}{0}\qquad \implies 2\sqrt{3y} \\\\\\ \displaystyle\int_{0}^7\pi \left( 2\sqrt{3y} \right)^2 dy\implies \int_{0}^7\pi(12y)dy\implies 12\pi \int_{0}^7 y\cdot dy \\\\\\ 12\pi \cdot \left. \cfrac{y^2}{2} \right]_{0}^7\implies12\pi \cdot \cfrac{49}{2}\implies 294\pi[/tex]
Customers at Musicland can buy 4 DVDs for $15. How many DVDs can April buy at Musicland with $75?
Answer:
20 I believe because 15 divided by 4 is 3.75 so I then divided 75 by 3.75 giving me 20:)
The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?
Answer:
281.25 miles
Step-by-step explanation:
2=250
1=125
0.5=62.5
0.25=31.25
250+31.25=281.25
A rectangle that measures 10 inches by 7 inches.
Which expression will determine the perimeter, in inches, of the rectangle?
Answer:
( 2 x 10 ) + ( 2 x 7)
Step-by-step explanation:
Hope this helped!
Answer: 34 inches Perimeter = 2L + 2W
Step-by-step explanation:
A rectangle has two sets of equal side lengths. We'll assign 10 inches to the length, L, and 7 inches to the width, W.
The perimeter of a rectangle is 2L + 2W
Perimeter, P = 2(10) + 2*(7)
P = 20 + 14
P = 34 inches
Order these from least to greatest [25 points]
Answer:
[tex]\frac{\sqrt{6} }{4}[/tex], 1.538..., [tex]\frac{19}{7}[/tex], [tex]\sqrt{29}[/tex]
Step-by-step explanation:
Solve them each on the calculator and then put in order
[tex]\frac{\sqrt{6} }{4}[/tex] = 0.6123...
19/7 = 2.714
[tex]\sqrt{29}[/tex] = 5.385...
Find the domain of the function
Answer:
The answer is (-1,1)
Step-by-step explanation:
¯\_(ツ)_/¯
Part A: James bought a cake that weighs pounds. How many ounces does the cake weigh? Show your work. (5 points)
[16 ounces = 1 pound]
Part B: A running tap dispenses 0.15 gallons of water every second. How many pints of water is dispensed after 20 seconds? Show your work. (5 points)
[1 gallon = 4 quarts, 1 quart = 2 pints]
Question 4 options:
Answer:
For part a multiply the pound amount by 16. Your work would look something like this... (not actual answer) 10 pounds x 16= 160 ounces. So 10 pounds= 160 ounces!
For part B
0.15 gallons=1.2 pints
Example: .15 x 4= .6
.6 x 2= 1.2 pints
1.2 x 20 seconds= 24 pints!
Hope this helps
Step-by-step explanation:
:)
Answer:
Part A: 52 oz
Part B: 24 pints
Step-by-step explanation:
Part A:
Since 1 pound = 16 ounces, the number of ounces is 16 times the number of pounds. To convert pounds to ounces, multiply the pounds by 16.
3 1/4 lb × 16 oz/lb =
= 13/4 × 16 oz
= 13 × 4 oz
= 52 oz
Answer: 52 oz
Part B:
We need to convert from gallons to pints.
1 gallon = 4 quarts
1 quart = 2 pints
That means that 1 gallon = 8 pints.
0.15 gallon/second × 8 pints/gallon =
= 1.2 pints/second
The tap dispenses 1.2 pints/second.
Now we calculate the number of pints dispensed in 20 seconds.
1.2 pints/second × 20 seconds = 24 pints
Answer: 24 pints
4.A counterexample can be used to show that a conjecture is false. Below are three
conjectures students made after visiting a zoo. Write a counterexample that shows that each
conjecture is false.
a. There are always more elephants in a zoo than giraffes.
TS
b. The oldest leatherback sea turtle in captivity is 33 years old.
c. American bison are never over 6 feet tall.
Answer:
Step-by-step explanation:
1. In some zoos the are more elephants than giraffes, then this conjecture can be true sometimes, however, this can not always be true because some zoo could have more giraffes
2. This can be true unless that turtle ages, or another is found that is taken into captivi9ty and found to be older
3. While most American bison are usaually below 6 feet, that is no gureantee there is no occasaional taller American Bison.
I do not know if these meet your teacher's starndard, but I hope they do. Please thanks and rate!
3plss help, it times;;;;;;;;;;;;;;;;;;;;;;;;;
Answer:
w=4
Step-by-step explanation:
72/48=6/w
3/2=6/w
12=3w
w=4
If any number in decimal numeration system is denoted by 723 then what is the value of the number in binary numeration system?
Answer:
723 -> 01011010011
Step-by-step explanation:
Mariana's office recycled a total of 9 kilograms of paper over 3 weeks. After 4 weeks,
how many kilograms of paper will Mariana's office have recycled? Solve using unit rates.
Answer:
9 kg per 3 weeks = 3 kg per week
Therefore, after 4 weeks it is (4 * 3) kilograms or 12 kilograms
Step-by-step explanation:
a parking garage charges $4 for the first hour and $1.50 for each additional hour. sydney has 13$ in her purse
Answer:
7 hours
Step-by-step explanation:
Answer:
she could park there for 7 hours
Step-by-step explanation:
13-4=9 9/1.50=6
A police car leaves a crime scene heading east directly towards the hospital at 72 kilometres per hour. An ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometres per hour. How long will it take for the ambulance to pass the police car?
It will take 2 hours for the ambulance to pass the police car.
Given that a police car leaves a crime scene heading east directly towards the hospital at 72 kilometers per hour, and an ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometers per hour, to determine how long will it take for the ambulance to pass the police car, the following calculation must be performed:
72 x 0.25 = 18 81 - 72 = 9 18/9 = 2 72 x 0.25 + 72 x 2 = 162 81 x 2 = 162
Therefore, it will take 2 hours for the ambulance to pass the police car.
Learn more about maths in https://brainly.com/question/25818763
the cost of a popsicle at the snack stand is $0.75 let p represent the number of popsicles and c represent total cost use an equation to represent the relationship between the numbers of popsicles bought and the total cost
Answer:
0.75p=c
Step-by-step explanation:
Graph the system. Use the graph to approximate
the solution of the equation.
Answer:
2.09
Step-by-step explanation:
And set them up as a function. We could set y equals to each side of it. So if we set y equals to the left-hand. Side we get Y is equal to three has to the X power.
Answer:
Plot a graph of the function y = log (x) and move it by 1 unit to the left.
Plot the graph of the function y = x ^ 2, reflect over the x-axis, and move it 10 units up.
The coordinates of the intersection of the graphs are the solution.
Solution: x=3
I think this your answer you did not really say your answer?????
Help help help help math ASAP
Answer:that is 0.01541
Step-by-step explanation:
Translate the phrase into a variable expression. Use the letter p to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(7) for division
the total number of peanuts divided among 4 baseball fans
Answer:
p/4
Step-by-step explanation:
You have p amount of peanuts and 4 baseball fans, so you divide p among 4, which is p/4
Answer: its p/10
Step-by-step explanation: i just did it
The two legs of a triangle are 300m ang 150m, respectively. The anle opposit the 150m side is 26 degress. What is the third side?
Answer:
335.4
Step-by-step explanation:
You can use the Pythagorean Theorem (a^2 + b^2 = c^2)
300^2 + 150^2 = 112500
The square root of 112500 is 335.4
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 250, and then went up by 20% in 2012. How many robberies were there in Springfield in 2012?
Factor Completely. 2a(x+y)+b(x+y)
Let's simplify step-by-step.
2a(x+y)+b(x+y)
Distribute:
=(2a)(x)+(2a)(y)+(b)(x)+(b)(y)
=2ax+2ay+bx+by
Answer:=2ax+2ay+bx+byThe simplification of the expression is 2ax+2ay+bx+by.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
An algebraic equation is a statement of the equality of two expressions formulated by applying algebraic operations to a set of variables.
Given expression is 2a(x+y)+b(x+y). The expression will be solved as below,
E = 2a(x+y)+b(x+y)
Multiply the values in the whole bracket and simplify,
E = (2a)(x)+(2a)(y)+(b)(x)+(b)(y)
E = 2ax+2ay+bx+by
The simplified expression is given as 2ax+2ay+bx+by.
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