Iff a projectile has a maximum range of 40 metres , find its speed of projection . ([tex]g = 10ms^-^2[/tex])
.[tex]0.5 ms^-^1\\2ms^-^1\\\\4ms^-^1\\\\20ms^-^1\\\\400ms^-^1[/tex]

Answers

Answer 1

its speed of projection is 20 ms^(-1)

Answer:

Solution given:

maximum range=40m

u²sin90°/g=40

u²*sin90°/10=40

u²=40*10

u=[tex]\sqrt{400}=20m/s[/tex]


Related Questions

NEED HELP ASAP what function is this??

Answers

2 over 2 I’m pretty sure

Answer:

linear

Step-by-step explanation:

the graph in the above equation is linear function

Which applies the power of a power rule properly to simplify the expression (710)5?

Answers

Answer:

I45

Step-by-step explanation:

I NEED HELP ASAP!!!!!!!!!!!PLEASE

Answers

Answer:

74.8% approximately

Step-by-step explanation:

Area of circle is pi×r^2=pi×4^2=16pi=50.27 approximately

Area of pentagon (assumption regular pentagon)=5/2×apothem×side length=5/2(3.2)(4.7)=37.6

So the probability that it lands in the red is 37.6/50.27 approximately =74.8% approximately

The volume of air inside a rubber ball with radius r can be found using the function V(r)= 4/3pier^3 what does V(5/7) represent?

Answers

Answer:

Step-by-step explanation:

I can tell you what it represents, but not what it means. Or maybe the units.

V(5/7) means that wherever you see an r on the right hand side, you put in 5/7 where the R is.

V = 4/3 * pi * r^3

V(5/7) = 4/3 * 3.14 * (5/7)^3

V(5/7) = 4/3 * 3.14 * 125 / 343

V(5/7) = 4/3 * 3.14 * 0.3644

V(5/7) = 1.526 cubic units (of whatever the units of 5/7 were to begin with)

430,400,000+342,000,000 adding scientific notation

Answers

Answer:

772,400,000

Step-by-step explanation:

Hope This Helps :) :) :)

A man and his wife share a lottery prize of $1 500 000 in the ratio of 41:34. What is the difference between the man's share and his wife's share

Answers

Answer:

$140,000

Step-by-step explanation:

Value of lottery = $1,500,000

Man's ratio = 41

Wife's ratio = 34

Total ratio = 41 + 34 = 75

Man's share = Man's ratio / Total ratio * Value of lottery

= 41/75 * $1,500,000

= 0.5466666666666 * $1,500,000

= $820,000

Wife's share = wife's ratio / total ratio * Value of lottery

= 34/75 * $1,500,000

= 0.4533333333333 * $1,500,000

= $680,000

Difference between the man's share and his wife's share

= Man's share - wife's share

= $820,000 - $680,000

= $140,000

Three different non-zero digits can be arranged in six different ways to
form six three-digit numbers. If the smallest three of these numbers add
to 540, what is the sum of the largest three numbers?

Answers

Answer:

1134

Step-by-step explanation:

We have 3 digits:

a, b, c

a 3 digit number can be written as:

a*100 + b*10 + c*1

Such that these numbers can be:

{1, 2, 3, 4, 5, 6, 7, 8, 9}

Let's assume that:

a < b < c

Then the 3 smaller numbers are:

a*100 + b*10 + c

a*100 + c*10 + b

b*100 + a*10 + c

The 3 larger numbers are:

b*100 + c*10 + a

c*100 + a*10 + b

c*100 + b*10 + a

We know that the sum of the 3 smaller numbers is equal to 540, then:

(a*100 + b*10 + c) + (a*100 + c*10 + b) + (b*100 + a*10 + c) = 540

Let's simplify this:

(a + a + b)*100 + (b + c + a)*10 + (c + b + c) = 540

(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540

The sum of the 3 larger numbers is equal to X, we want to find the value of X:

(b*100 + c*10 + a) + (c*100 + a*10 + b) + (c*100 + b*10 + a) = X

Now let's simplify the left side:

(b + c + c)*100 + (c + a + b)*10 + (a + b + a)*1 = X

(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X

Then we have two equations:

(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540

(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X

Notice that the terms are inverted.

By looking at the first equation, we can see that:

(2c + b) = 10    (because the units digit of 540 is 0)

Then, we can see that:

(b + c + a + 1 ) = 14   (the one comes from the previous 10)

finally:

(2a + b + 1) = 5   (the one comes from the previous 14)

Then we can rewrite:

(2*c + b) = 10

(b + c + a) = 14 -1  = 13

(2a + b) = 5 - 1 = 4

Now we can replace these 3 in the equation:

(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X

(10)*100 + (13)*10 + 4 = X

1000 + 130 + 4 = X

1134 = X

The sum of the 3 largest numbers is 1134.

Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is
16
inches shorter than
1
1
2
times Theresa’s height. Steve says he is
6
inches shorter than
1
1
3
times Theresa’s height. If they are both right, how tall is Theresa?

Answers

Answer:

From given, we have,

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height.  

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height.

Let the height of Theresa be "x" inches.

So, we get,

For Paul, 1 1/2 x - 16 = T

⇒ 3/2 x - 16 = T ......(1)

For Steve, 1 1/3 x - 6 = T

⇒ 4/3 x - 6 = T .........(2)

equating  equations (1) and (2), we get,

3/2 x - 16 =  4/3 x - 6

6 - 16 = 4/3 x - 3/2 x

-10 = (8 - 9)/6 x

-60 = -x

x = 60 inches.

Therefore, Theresa is 60 inches tall.

Directions: Graph each equation by using the y-intercept and slope( make sure too show your work)
FIRST QUESTION: y= -2/3x-1
y-intercept=____
Slope:____

Answers

Given:

The equation of a linear function is:

[tex]y=-\dfrac{2}{3}x-1[/tex]

To find:

The y-intercept and slope of the given equation, then draw the graph of the equation.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept

We have,

[tex]y=-\dfrac{2}{3}x-1[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{2}{3}[/tex]

[tex]b=-1[/tex]

Therefore, the y-intercept is -1 and the slope of the line is [tex]-\dfrac{2}{3}[/tex].

It means the graph intersect the y-axis at point (0,-1) and having slope [tex]-\dfrac{2}{3}[/tex]. So, the graph of the equation is shown below.

ATRI has vertices T(-2,4), R(2,4), and 1(0,0). IS ATRI scalene, isosceles, or equilateral?
Is ATRI scalene, isosceles, or equilateral?
equilateral
isosceles
scalene

Answers

the answer is quilateral

Can someone help me with this math homework please!

Answers

Answer:

addition one is: (1/2) + 5x - (1/2)= 8 - (1/2)

muliplcation one is: (4x)(1/4)=(3) (1/4)

subtracting one is: 3x-4+4=12+4

division one is: 55/11 = 11x/11

Step-by-step explanation:

Hope this helps and good luck :)))

which of the following is the equation of a line that passes through the points (1,6) and(2,1)

Answers

Answer:

y=1x-5

Step-by-step explanation:

it goes over to the right 1 time and down 5

(1+1,6-5)=(2,1)

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x =48.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hypotenuse

sin x = 54 /72

Taking the inverse sin of each side

sin ^ -1( sin x) =sin ^-1 ( 54/72)

x = 48.59037789

To the nearest tenth

x =48.6

Answer:36.9

Step-by-step explanation:

Evaluate the expression. 37

Answers

Answer:

[tex]2187[/tex]

Step-by-step explanation:

[tex] {3}^{7} \\ = (3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3) \\ = 2187[/tex]

Hope it is helpful....

Answer:

2187

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

81*3=243

243*3=729

729*3=2189

help it’s very urgent please !!!!

Answers

The answer is seven (7)

Explanation:

There are eight red flowers
There are ten white flowers
There are five yellow flowers

Add those together.

8+10+5 = 23

Subtract from the total number of flowers which is thirty.

30 - 23 = 7

Answer:

There are 7 blue flowers.

Step-by-step explanation:

Total flowers: 30

Use the chart to find the red, white, and yellow flowers.

Red: 8

White: 10

Yellow: 5

Find the sum of the these three colored flowers:

8 + 10 + 5

23

Find the difference between the total flowers and the sum of the three colored flowers:

30 - 23

7

7 blue flowers

Factor using the perfect squares method:

x^2 - 3x + 16

Answers

Answer:

what are the answer choice?

Step-by-step explanation:

If a window is to be 6 feet wide, how high should it be, to the nearest tenth of a foot, to be a golden rectangle

Answers

Answer:

3.7 feet

Step-by-step explanation:

A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618

If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft

= 3.7 (to the nearest tenth)

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Can some help with this problem

Answers

Answer:

20 degrees.

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees. One of them, bottom right, is already shown as 70 degrees. You can find the bottom left angle by subtracting 110, the supplementary angle, from 180 (the number of degrees in a straight line). The top angle, 2x, is equal to 40 degrees. (180-70-70 = 40). 40/2 = x, so x = 20 degrees.

5(a-5)+a(a-5) complete the expression

Answers

Answer:

a^2 -25

Step-by-step explanation:

5a-25 + a^2 - 5a

a^2 - 25

please hurry :(
Given m||n, find the value of x.
m

1189
+-

Answers

Answer:

62°

Step-by-step explanation:

Use the graph below, find f(10).
6points!!!

Answers

Answer:

the answer is a

tell me if it’s rite or wrong I did the work as best as I could

f(10) is undefined.

What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is the graph of a function?

"It is the set of points on the coordinate plane which satisfies the given function."

For given question,

We need to find the value of a function at x = 10.

We can observe that, when x = 10, the function value 2 is denoted by an open circle.

This means the function do not have value 2 when x = 10

Therefore, f(10) is undefined.

Learn more about the function here:

https://brainly.com/question/13461298

#SPJ2

Between the numbers 15/20 and 35/40 , the greater number is
a. 15/20 b. 20/15 c. 35/40 d. 45/30

Answers

Answer:

35/40

Step-by-step explanation:

To compare, both denominator should be same.

[tex]\frac{15}{20}=\frac{15*2}{20*2}=\frac{30}{40}\\\\\\\frac{30}{40} \ < \ \frac{35}{40}\\\\\\\frac{15}{20} \ < \ \frac{35}{40}[/tex]

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

⠀the numbers 15/20 and 35/40⠀⠀⠀

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

⠀⠀⠀⠀

the greater number is

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

we have to find the greater number between 15/20 and 35/40

To do this,

we have to compare the denominator same.

[tex]\sf{\dfrac{35}{40}=\dfrac{35×1}{40×1}=\dfrac{35}{40} }[/tex]

[tex]\sf{\dfrac{15}{20}=\dfrac{15×2}{20×2}=\dfrac{30}{40} }[/tex]

According to the question,

we have to find the greatest one

[tex]\sf{\dfrac{35}{40} > \dfrac{30}{40} }[/tex]

[tex]\sf{\dfrac{35}{40}>\dfrac{15}{20} }[/tex]

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

⠀⠀

[tex]\therefore\mathrm{\dfrac{35}{40} > \dfrac{15}{20} }[/tex]

⠀⠀

Students were asked to choose their favorite season. If 2/9 of the students
chose spring and 5/9 chose summer, what fraction chose either spring or
summer?

Answers

Answer:

7/9

Step-by-step explanation:

2/9+5/9=7/9

Find the center and radius of the circle. Help !!

Answers

Answer:

the center is -1,1 and the radius is 4 i think

Step-by-step explanation:

TIMED HELP PLEASE. Verify which of the following are identities.

Answers

Answer:

D=Only the first equation is an idenity

Step-by-step explanation:

Find the equation of a quadratic function in general form whose graph has points: (-2, 3) (0, 3) and (-4,-5).

Try your best to show complete work & explain your strategy.

Answers

Answer:

-x²-2x+3

Step-by-step explanation:

The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)

Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it

writing this in vertex form we get

-a(x+1)²+4

Where a is some constant

solve for a by plugging in (0,3)

3= -a(0+1)²+4

3= -a+4

-1= -a

a=1

therefore the equation looks like

-(x+1)²+4

expanding this so that it's in stantard form...

-(x²+x+x+1)+4

-x²-2x+3

which is the final answer

Find the greatest common factor of the
following monomials:
30a^4b^4 28a^6b^5

Answers

The answer is 2a^4b^4, hope this helps

(PLS HELP NOW WILL GIVE BRINIEST!!!!!) A figure is formed by two pairs of parallel sides that are the same length. Which type of figure is it?
A.
hexagon
B.
square
C.
pentagon
D.
triangle

Answers

Answer: B. Square

Step-by-step explanation:

All sides of a square have the same lengthAll four angles of a square = 90°A square has two parallel sides

The answer is B.), because if you have two pairs of parallel sides that means it looks like a square 1. || 2. _

                                                            _

- Chilio

If trstan has a pickup truck that could carry 7/4 cord of firewood, FInd the number trips needed to cary 63 cords of wood

Answers

Answer:

36

Step-by-step explanation:

63/(7/4) 63 divided by 7/4

63* 4/7 63 multiplied by 4/7

=36 answer is 36

If EC = 10cm what must AC be if ABCD is a parallelogram?
5
10
or 20?

Answers

Answer:

it is 20 vecause I say so yeah hey guts

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