To Find :
Which of the given pair of launch angles below will travel the same range given the same initial velocity.
Solution :
We know, two projectile with same velocity and different angles a and b can have same initial velocity on when the following condition satisfies :
a + b = 90°
Now, putting all the given value in above condition, we get for value 40° and 50° the above condition is true.
Therefore, option c) is correct.
Find the equation of the line that
is perpendicular to y = -2x + 1
and contains the point (8, 2).
[?]
y =
x+ [
Answer:
y=[tex]\frac{1}{2}x-2[/tex]
Step-by-step explanation:
Perpendicular lines have negative reciprocal gradients(slopes) so the slope of your new line would be 1/2. Then you use the point to find the new y-intercept
y=mx+b
2=[tex]\frac{1}{2}[/tex](8)+b
2=4+b
B=-2
y=[tex]\frac{1}{2}x-2[/tex]
You roll a six sided number cube and flip a coin.What is the probability of rolling a number less than 6 and flipping heads?Write fraction in simplest form
Answer:
5/12
Step-by-step explanation:
Probability to roll a number<6 = 5/6 (each number has probability of 1/6, and there are 5 numbers < 6)
Probability to toss heads = 1/2
Condition "and" = multiplication of probabilities=5/6*1/2=5/12
What is the quotient of Two-thirds and StartFraction 2 Over 9 EndFraction?
Answer:
3.
Step-by-step explanation:
2/3 / 2/9
= 2/3 * 9/2
= 18/6
= 3.
Which is the equation of the axis of symmetry
Answer:
Step-by-step explanation:
It would be X=2 because axis of symmetry is the line passing through X=2.
The perimeter of a rectangle is 73 inches. If the length is 16 inches, write and solve an equation to
find the width.
Answer:
Step-by-step explanation:
The equation for finding the perimeter of a rectangle is 2Lx2H
So since the length is 16, you multiply that by 2 to get 32.
Then you subtract 32 from 73 which leaves you with 41, then your equation is left as 2H=41, so you divide 41 by 2 which is 20.5, and that is your height
hope this helped!
Answer:
5
Step-by-step explanation:
73/16
16*5=73
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
4x+x–2x
Answer:
2x+x
Step-by-step explanation:
ASAP HELP you have $125 dollars in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answer:
9
Step-by-step explanation:
There are 6 red marbles, 4 blue marbles, and 15 green marbles in a jar. If you reach in and randomly draw one, what is the probability that you will choose a red marble?
Answer:
6+4+15 = 25 and since there are 6 red marbles the answer is 6/25
Answer:
6 out of 25 chance/ 24%
Step-by-step explanation:
15 + 4 = 19 + 6 = 25
6/25 = 0.24 = 24%
3. Jane and Brittany have been saving up for their summer vacation. After how many days will
they have the same amount of money saves?
Kelly Slater and Andy Irons are in a surf competition among 10 competitors.
If all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place
2nd? Write your answer as a simplified fraction.
Answer:
The probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
Step-by-step explanation:
Since Kelly Slater and Andy Irons are in a surf competition among 10 competitors, to determine, if all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place 2nd, the following calculation must be performed:
1/10 x 1/9 = X
0.1 x 0.11 = X
0.01111 = X
1/90 = 0.011111 = X
Therefore, the probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
Find the missing side. X is the hypotenuse 12 and 5 are the legs
Answer:
10.9
Step-by-step explanation:
Given that,
Hypotenuse = 12
One leg = 5
We need to find the another leg. Let it is b. We can solve it using Pythagoras theorem as follows :
[tex]H^2=h^2+b^2\\\\b^2=H^2-h^2\\\\b^2=12^2-5^2\\\\b=10.9[/tex]
So, another leg is 10.9.
A bag contains four red marbles and eight
blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag.Both marbles are red.
Answer:
B is most credible for this problem. :-D
What is the measure of the angle
Answer:
it's 60 degree in my thinking
Step-by-step explanation:
hope this is the answer
Answer:
I think it's somewhere in the 80's or 70's
Step-by-step explanation:
bit you actually need a protractor to figure out the exact measurements
Rebecca’s service charge at a beauty salon was $93.60, before tax. The sales tax rate was 8%. If she added 20% of the amount before tax as a tip, how much did she pay for the whole service at the salon?
Answer:
119.77
Step-by-step explanation:
93.60x.08=7.45 tax
93.60 x .20=18.72 tip
93.60+7.45+18.72=119.77
Need help with the answer??
Answer:
answer is optioc c
Step-by-step explanation:
area of circular pizza=pie*diameter
=1/4*pie*d^2
=3.14/4*100
=314/4
=78.5
area of square pizza=l^2
=9^2
=81
therefore square pizza is bigger in area than circular pizza.
Find...
2/7 of 36
I really need help!
Answer:
10 2/7
Step-by-step explanation:
Of means multiply
2/7 *36
72/7
Changing from an improper fraction
70/7 +2/7
10 2/7
Answer:
[tex] \frac{2}{7 } \: of \: \: 36 \\ = \frac{2}{7} \times 36 \\ = \frac{2 \times 36}{7} \\ = \frac{72}{7} \\ = 10 \frac{2}{7} \\ = 10.28[/tex]
✐ The answer in fraction form is 72/7, & in decimal form is 10.28.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Multiply and find the total
Algebra
Answer:
n - 1
Step-by-step explanation:
(n-1)(n-5) / 2(n+3) ×2(n+3) / (n-5)
Kindly check attached picture for simplification
Estadística: Luego de entrevistar a diez de los pasajeros que viajaba en el bus que chocó intempestivamente contra un poste, se concluyó que el chofer era inocente. Identifica la población, la muestra, variable y el tipo de variable.
Respuesta:
Población = Todos los pasajeros en el autobús
Muestra = los 10 pasajeros entrevistados
Variable = inocencia del conductor; por tanto es una variable cualitativa
Explicación paso a paso:
La población se refiere a todo el conjunto de observaciones que están relacionadas con un evento o experimento en particular. Aquí, todos los pasajeros del vehículo constituyen la población, ya que nuestra investigación se basa en el vehículo.
La muestra es un subconjunto de la población que generalmente se elige al azar de manera que sea representativa de la población.
La variable que pretendemos medir es si el conductor es inocente o no. Por lo tanto, llamamos a esto la variable medida. Debido a que la culpa o la inocencia no es numérica, se considera una variable cualitativa.
Brooke has finished the first three chapters of a new book. There are 28 pages in the first chapter, 33 pages in the second, and 18 pages in the third. Brooke works out that she has read 79 pages. Does that sound about right?
Answer: yes. They all add up to 79
Step-by-step explanation:
Answer
28+33+18= 79
Step-by-step explanation:
I would greatly appreciate if you could solve this 4 me. Thank you!
Answer:
Look at the image.
Step-by-step explanation:
2. Luego de entrevistar a diez de los pasajeros que viajaba en el bus que chocó intempestivamente contra un poste, se concluyó que el chofer era inocente. Identifica la población, la muestra, variable y el tipo de variable.
Respuesta:
Población = Todos los pasajeros en el autobús
Muestra = los 10 pasajeros entrevistados
Variable = inocencia del conductor; por tanto es una variable cualitativa
Explicación paso a paso:
La población se refiere a todo el conjunto de observaciones que están relacionadas con un evento o experimento en particular. Aquí, todos los pasajeros del vehículo constituyen la población, ya que nuestra investigación se basa en el vehículo.
La muestra es un subconjunto de la población que generalmente se elige al azar de manera que sea representativa de la población.
La variable que pretendemos medir es si el conductor es inocente o no. Por lo tanto, llamamos a esto la variable medida. Debido a que la culpa o la inocencia no es numérica, se considera una variable cualitativa.
What are the zeros of the function f(x) = (2x +6)(x-4)?
A. x=-6 and x= -4
B. x= 3 and x=-4
C. x = 6 and x= -4
D. x= -3 and x = 4
Answer:
2x+6=0 x-4=0 2x=-6 x=-3 x=4
Answer:
- 3 and 4
Step-by-step explanation:
Find the area of the shape shown below...
Please help-
Answer:
[tex]A=32~sq~units[/tex]------------------
[tex]A=A_1+A_2+A_3+A_4[/tex][tex]A=1/2(4)(10)+1/2(2)(2)+(2)(2)+1/2(2)(6)[/tex][tex]A=20+2+4+6[/tex][tex]A=32[/tex]-------------------------
hope it helps...
have a great day!!
A recipe calls for 2/5 cup of chicken broth and 1/6 cup of vegetable broth. What is the total amount of broth need for the recipe?
Answer:
I may not be correct, depending on what you were taught, but it would be...
17/30
Step-by-step explanation:
(2/5×6/6)+(1/6×5/5)
12/30 + 5/30
17/30
keep in mind you don't add the denominators at all ( the numbers at the bottom half of the fraction)
Find the value of x and y. Show your work.
WILL GIVE BRAINLIEST!!!!!
Step-by-step explanation:
4x = 112
× = 112 ÷ 4
× = 28
Corresponding angles are equal
y = 28
Solve for x. The triangles in each pair are similar. Please explain!! I’m so confused
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Given
[tex]\triangle JDC[/tex] similar to [tex]\triangle JKL[/tex]
Required
Find x
To do this, we make use of the following equivalent ratios
[tex]JK:JL = JD:JC[/tex]
This gives
[tex]98 : 63 = 7x + 7:27[/tex]
Express as fraction
[tex]\frac{98 }{ 63} =\frac{ 7x + 7}{27}[/tex]
Multiply both sides by 27
[tex]27 * \frac{98 }{ 63} =\frac{ 7x + 7}{27} * 27[/tex]
[tex]27 * \frac{98 }{ 63} =7x + 7[/tex]
[tex]3* \frac{98 }{ 7} =7x + 7[/tex]
[tex]3* 14 =7x + 7[/tex]
[tex]42 =7x + 7[/tex]
Collect like terms
[tex]7x = 42 - 7[/tex]
[tex]7x = 35[/tex]
Divide both sides by 7
[tex]x = 5[/tex]
Maya and Zack built the tent below in their backyard how much material did they use to build the tent
Answer:
[tex]Area = 279ft^2[/tex]
Step-by-step explanation:
Given
See attachment for tent
Required
The material needed
This implies that we calculate the surface area of the tent.
This is calculated as:
Area = 2 * Area of Congruent triangles + 2 * Area of Congruent Rectangles + Area of Base Rectangle
So, we have:
[tex]Area = 2 * \frac{1}{2} * 6 * 8 + 2 * 10.5 * 7 + 10.5 * 8[/tex]
[tex]Area = 48 + 147 + 84[/tex]
[tex]Area = 279ft^2[/tex]
whats the answer. ill make this 20 pts
Answer:
B
Step-by-step explanation:
[tex] \sqrt[y]{ {x}^{z} } = {x}^{ \frac{z}{y} } \\ [/tex]
A car travels 374 miles in five hours and 30 minutes. how many miles does it travel per hour?
Answer:
the answer is 68 miles
Step-by-step explanation:
you would change 5 hours and 30 minutes to 330 minutes and then you would do 374/330 and 330/330 that would be 1.13333333333 and 1 next you would do 1.13333333333 times 60 and 1 times 60 and it would equal to 68 miles in 60 minutes or 1 hour
the cost of 21 articles is equal to selling price of 18 articles. find the profit or loss percent.
Answer:
If all the items are sold, the profit percentage is 14.28%.
Step-by-step explanation:
Given that the cost of 21 articles is equal to selling price of 18 articles, to find the profit or loss percent the following calculation must be performed:
21 = 100
21 - 18 = X
21 = 100
3 = X
(3 x 100) / 21 = X
300/21 = X
14.28 = X
Therefore, if all the items are sold, the profit percentage is 14.28%.