A particle is projected with a velocity of [tex]29.4ms^-^1[/tex] . Find it's maximum range on a horizontal plane through the point of projection.
A.88.2m B.44.1m C.32.6m D.29.4m E.14.7m

Answers

Answer 1

A.88.2m

Answer:

Solution given:

initial velocity[u]=29.4m/s

g=9.8m/s²

maximum range=?

now

we have

[tex]\theta=90°[/tex]

maximum range =[tex]\frac{29.4²*sin90}{9.8}=88.2m[/tex]

Answer 2

The initial velocity is,

→ u = 29.4 m/s

General assumption,

→ g = 9.8m/s²

→ θ = 90°

Then the maximum range is,

→ (29.4² × sin90)/9.8

→ 88.2 m

Hence, option (A) is answer.


Related Questions

The transformation from the function ƒ(x) = 3x to the function ƒ(x) = 3x + 4 indicates:

Answers

Answer:

Moving 4 to the right on the x axis

3 1/2 divided by 2 1/6=

Answers

Answer:

21/13

Step-by-step explanation:

3 1/2 = 7/2

2 1/6 = 13/6

7/2 divided by 13/6

7/2 X 6/13 = 42/26 = 21/13

Answer:

Step-by-step explanation:

3 1/2 = 7/2 and 2 1/6 = 13/6

7/2 divided by 13/6 = 7/2 x 6/13

42/26

21/13 is your final answer.

I have a lot of algebra problems. Someone help me even with this one please!

Answers

Answer: Choice D

The graph will be discrete because there is no such thing as a partial person to sign up, and the booth is set up once each day for sign ups.

=========================================================

Explanation:

Let's start with the independent variable d. This acts as the variable x. It's the input. The value of d only takes on positive whole numbers (eg: d = 1, d = 2, d = 3, etc). We cannot have something like d = 2.718

So this bit of evidence shows that our function is discrete. Discrete input values (d) plug into the function to produce corresponding discrete output values (m).

Furthermore, we know that m is discrete because the number of people cannot be a fractional or decimal number. We can't have half a person for instance.

---------------

A quick way to see if a set is discrete or continuous is to ask the question: "is it possible to apply the midpoint formula for ANY two values, and have the output make sense?"

So a set like {1,2,3,4,5,...} is discrete because the midpoint of 2 and 3 is 2.5, but that value is not in the set mentioned.

In other words, discrete sets have "gaps" so to speak, while continuous ones do not.

---------------

Another useful property is that let's say that a < x < b, and x is drawn from the domain set. This reduced set will be finite if we're dealing with discrete data. Eg: The set {1,2,3,4,5,...} has the subset {2,3,4} which is finite and discrete.

In contrast, the subset of real numbers x such that [tex]2 \le x \le 4[/tex] is continuous and this subset is infinitely large (has infinitely many members) because we could have things like 2.718 or 3.14 etc

Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that they each will catch 3 fish?

Answers

Answer:

The probability that they each will catch 3 fish is 0.000063956

Step-by-step explanation:

The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes  for both the population and sample.

Here

Population size= N =200

Sample size= n =9= (3*3)

Number of successes in population = k = 3 hours

Number of successes in sample = x= 3

Applying the hyper geometric distribution

P (x=3) = kCx *(N-k) C (n-x)/ N Cn

   = 3 C 3 * 197 C 6/ 200 C 9

    =0.000063956

The probability that they each will catch 3 fish is 0.000063956

Assume the equation has a solution for z.
-cz+ 6z = tz + 83
z=?​

Answers

Answer:

z = 83 / (- c + 6 - t)

Step-by-step explanation:

Given:

-cz+ 6z = tz + 83

z=?​

-cz+ 6z = tz + 83

Collect like terms

-cz+ 6z - tz = 83

Factorize

z(- c + 6 - t) = 83

Divide both sides by (- c + 6 - t)

z(- c + 6 - t) / (- c + 6 - t) = 83 / (- c + 6 - t)

z = 83 / (- c + 6 - t)

Answer:

Step-by-step explanation:

PLS HELP I WILL GIVE BRAINLIEST

Kimberly will be riding her bike to school this year. The distance from her house to the end of the street is 1/6 mile. The distance from the end of the street to school is 3/8 mile. About how far is Kimberly's house from school?

Answers

it’s about 13/24 miles away, you just combine the fractions

Answer:

Step-by-step explanation:

The total distance = 1/6 + 3/8 miles Change the denominators to 24

D = 1/6 + 3/8 = 4*1/6*4 + 3*3 / 8 * 3

D = 4/24 + 9/24

D = 13/24 of mile.

Ronald brought a jacket on Friday that had original price if $45. It was on sale at 10% off its original price. Which formula shows what Ronald paid after 7% sales tax was added?

A. 1.07(45-10)
B. 1.03(45)
C. 1.07(45-45(.1))
D. 1.1(45-45(.7))

Answers

the answer is D 1.1(45-45(.7))

hello! I'm having a bit of trouble trying to solve this, could anyone help explain it to me?

Answers

[tex]\displaystyle\ 60^2 =36(36+x)\\\\1296+36x=3600\\\\36x=2304\\\\\boxed{x=64}[/tex]

×=64

Step By Step Explanation:

[tex] {60}^{2} = 36(36 + x)[/tex]Step 1

Calculate 60 to the power of 2 and get 3600.

[tex]3600 = 36(36 + x)[/tex]Step 2

Use the distributive property to multiply 36 by 36 + ×.

[tex]3600 = 1296 + 36 \times [/tex]Step 3

Swap sides so the all variable terms are on the left hand side.

[tex]1296 + 36 \times = 3600[/tex]Step 4

Subtract 1296 from both sides.

[tex]36 \times = 3600 - 1296[/tex]Step 5

Subtract 1296 from 3600 to get 2304.

[tex]36 x = 2304[/tex]Step 6

Divide both side by 36.

[tex] \times = \frac{2304}{36} [/tex]Step 7

Divide 2304 by 36 to get 64

My Answer is

[tex]\color{GREEN} \times = 64[/tex]

How do you work out the volume of a cube

Answers

Answer:

V=a cubed

Step-by-step explanation:

The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____. a. becomes negative b. remains unchanged c. will increase d. will decrease

Answers

Answer:

b. remains unchanged

Step-by-step explanation:

Formula for standard error of mean is;

SE = σ/√n

From the above, we can see that the standard error of mean is independent of the confidence coefficient as it doesn't affect the SE.

Now, we are given that;

random sample; n = 100

Standard deviation; σ = 1

Thus;

SE = 1/√100

SE = 1/10

Now, even if the confidence coefficient is reduced, we can see that it has no impact on the standard error of mean.

Thus, SE remains unchanged.

PLZ HELP WILL GIVE BRAINLIEST
(sat prep) For the figure, which of the following is true?
I m∠1+m∠2=m∠6+m∠5 m
II∠1+m∠3=m∠6+m∠4
III m∠1+m∠3+ m∠6=m∠2+m∠4+m∠5
A I only
B I and II only
C II only
D II and III only

Answers

Thank the answer is B

Find the other endpoint of the line segment with the given endpoint and midpoint. I
nearest tenth.
Endpoint (-8, 8) Midpoint (5,-3)

Answers

The answer is (18,-14)

To get from (-8,8) to (5,-3) we can make into a transformation. T(x,y) = (x + 13,y - 11), so we just apply that transformation a second time to get (18, -14).

Please help me with this

Answers

Answer:

52 in^2

Hope this helps!

which of the points lies on the curve y=x^3

Answers

Answer:

D

Step-by-step explanation:

Hello,

A: no since (1/3)^3=1/27 not 1/9

B: no since (-1)^3=-1 not 1

C: no since (-2)^3=-8 not -6

D: yes since (-1/2)^3=-1/8

Answser D

worth 10 points please help me ASAP!

Answers

Answer:

(-1,-1)

Step-by-step explanation:

If you multiply the x and y points of A, (-3,-3), by 1/3 then you find: (-1,-1).

Factor using the perfect squares method:

x^2 - 3x + 16

Answers

Answer:

what are the answer choice?

Step-by-step explanation:

find the 9th and 15th terms of the following geometric sequence 2, -4, 8, -16​

Answers

Step-by-step explanation:

given the geometric sequence 2, -4, 8, -16, ...

a1 = 2

r = -4/2 = -2

find : a9 and a15

solutions:

an = a1. r^(n-1)

=> a9 = 2. (-2)^(9-1)

= 2. (-2)^8

= 2. 2^8

= 2^9

= 512.

=> a15 = 2. (-2)^(15-1)

= 2. (-2)^14

= 2. 2^14

= 2^15

= 32,768

Step-by-step explanation:

Hey there!

The given geometric sequence is: 2, -4, 8, -16.

The;

a1 = 2

Common ratio (r) = T2/T1

= -4/2

= -2

Now;

Use general formula of geometric sequence;

[tex]tn = {a1.r}^{n - 1} [/tex]

Where, "a1" is first term, "n" is no.of terms and "r" is common ratio.

Then;

[tex]t9 = 2 \times { (- 2)}^{9 - 1} [/tex]

or, t9 = 2*256

Therefore, t9 = 512.

Again;

[tex]t15 = 2. { (- 2)}^{15 - 1} [/tex]

or, t15= 2*16384

Therefore, t15 = 32768.

Hope it helps!

Find the area of the parallelogram

Answers

Answer:

The answer is 32.

Step-by-step explanation:

Just multiply the height by the base length. 4*8=32

find the gradients of line a and b

Answers

Answer:

Gradient of A: 2

Gradient of B: -1

Step-by-step explanation:

Gradient = change in y/change in x

✔️Gradient of A using two points on line A, (2, 5) and (0, 1):

Gradient = (1 - 5)/(0 - 2) = -4/-2

Simplify

Gradient of A = 2

✔️Gradient of B using two points on line B, (0, 5) and (5, 0):

Gradient = (0 - 5)/(5 - 0) = -5/5

Simplify

Gradient of B = -1

(e) Dhanu plays with his model railway from 06 50 to 11 15. He then rides his bicycle for 3 hours. Find the ratio time playing with model railway : time riding bicycle. Give your answer in its simplest form.​

Answers

Answer:

53:36

Step-by-step explanation:

53:36

265:180

The ratio of time Dhanu spent playing with model railway to the time riding bicycle is 53 : 35.

What is the ratio of the time spent playing with model railway to the time riding bicycle ?

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

Time spent playing with the model railway = 4 hours 25 minutes.

Converting the time to minutes = (4 x 60) + 25 = 265 minutes

Time in minutes spent riding a bicycle = 60 x 3 = 180

Ratio of the minutes - 265 : 180

53 : 35

To learn more about ratios, please check: https://brainly.com/question/25927869

what is the y-coordinate of the red point?

Answers

The y-coordinate of the red point is -3.

Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long until they meet?

Answers

Answer: 7 hr

Step-by-step explanation:

Given

Distance between Emily and Kylie is [tex]140\ \text{miles}[/tex]

Speed of Emily [tex]v_e=12\ mph[/tex]

Speed of Kylie [tex]v_k=8\ mph[/tex]

Distance traveled by Emily [tex]\Rightarrow d_e=12t[/tex]

Distance traveled by Kylie [tex]\Rightarrow d_k=8t[/tex]

[tex]\Rightarrow 12t+8t=140\\\Rightarrow 20t=140\\\Rightarrow t=7\ hr[/tex]

They will meet after 7 hour.

What ordered pairs are the solutions of the system of equations shown in the graph below?

Answers

Answer:

(1,-3) and (4,-6)

Step-by-step explanation:

The solutions are where the linear line intersects the graphed parabola.

3/4 - 5/8


can someone plz tell answer

Answers

The correct answer is 0.125

Answer: 1/8

Step-by-step explanation:

Convert 3/4 so it has 8 as the denominator. 3/4 = 6/8. Now you can subtract. 6/8 - 5/8 = 1/8.

Find the value of x. Round to the nearest tenth.

Answers

Answer:

x = 7

Step-by-step explanation:

First we find out what we are using sin,cos, or tan then we plug in the numbers

Sin 26 x 16 = 7

Consider the quadratic function f(x) = x2 - 5x + 6.
What are the values of the coefficients and constant in the function?
а
b
c

Answers

Answer:

a=1

b=-5

c=6

Step-by-step explanation:

ax^2+bx+c=0

Is the formula used for this question.

The given function is the same as y = 1x^2 + (-5x) + 6

Compare it to the form y = ax^2+bx+c, and we have the following:

a = 1

b = -5

c = 6

A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts.
One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Write your answer as a fraction in simplest form.

Answers

Answer:

Probability of the chosen T-shirt not being black will be equal to 9/10

Step-by-step explanation:

In order to solve this we need to understand that probaility is equal to the number of those outcomes that we want divided by the total number of outcomes. In our case the total number of outcomes is 20 (2 + 7 + 11) which is the total number of T-shirts, and the number of outcomes that are favorable to us is equal to 18 (outcomes without a black T-shirt). Therefor probability of the chosen T-shirt not being black will be equal to...

18/20 = 9/10

Which of the following graphs represents the equation y-2 = 3(x - 1)?

Answers

Answer:

Graph B

Step-by-step explanation:

The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.

18x-108
-----------
6x-54

simplify the expression




A.

B.

C.

D.

Answers

Answer:

3x-2

---------

x-1

Step-by-step explanation:

simplify 18x/6x = 3x/1x

simplify 108/54 = 2/1

Find the value of `x´ in the given parrallelogram.​

Answers

X=9

3x-12=x+6
2x-12=6
2x=18
X=9
The value of x is 9 cm in the given parrallelogram.

Step-by-step explanation:

=> (3x-12) =(x+6)

or,3x - x = 6 + 12

or,2x = 18

or,x = 18/2

: x=9#

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