A cannonball is shot from the ground, reaching the height of 50 meters before landing on a target 500 meters away.

Assuming the cannonball is fired from the origin and its trajectory can be modeled by a quadratic function, where is the maximum point of the trajectory?


(500, 50)

(250, 25)

(250,50)

(0, 50)

Answer:

6

Step-by-step explanation:

Using the similarity theorem f the triangle

(4+6)/x+9 = 4/x

10/x+9 = 4/x

Cross multiply

10x =4(x+9)

10x = 4x+36

10x-4x = 36

6x = 36

x = 6

Hence the value of x is 6

Answer:

20

Step-by-step explanation:

45% of x=9

x=9/0.45 = 20

Answer: it’s 400

Step-by-step explanation:

Answer: 502.655

Step-by-step explanation:

just search cylinder calculator

Answer:

a) $525 CAD

b) $168.30 per day

c)  $38.05

Step-by-step explanation:

a)   1 USD =  500  

    1.05CAD      x

cross-multiply:  x = $525 CAD

b) 504.90 / 3 = 168.30 per day

c)   1 USD =   x  

    1.05CAD   39.95

cross-multiply: 1.05x = 39.95

x = 39.95 / 1.05

x = $38.05 USD

Answer:

6.25inch=15.625cm

Step-by-step explanation:

1inch=2.5cm

6.25*2.5=15.625cm

Answer:45

Step-by-step explanation:

Answer:

This is so easy it's basically 6x9 which isssss, 54 lol,

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

you multiply 5 and 4

Answer:

2(t) or 2 * t

Step-by-step explanation:

Both of those are multiplying 2 and t, which is also what 2t means.

Answer:

20

Step-by-step explanation:

Answer:

1   600334528/1000000000

Step-by-step explanation: i don't know if this is right but it should be

Answer:

I don't think it is a fraction

Step-by-step explanation:

I used my calculator and nothing happened!

Hope I helped!

But I might be wrong....

Answer:

Dude

the twice of ML is equal to JL....

Now u may ask how can I say this the reason is I used "THE MIDPOINT FORMULAE" do search this concept on utube........

2(5x-16) = 4x+34

So here x is 11

Put the value of it in JL.... so JL is 4*11+34 = 78 units......

Answer:

Bob is at the top, so he starts at step 9.

Sue is at the bottom, so she is at the step 0 (this is the floor, before stepping on step 1)

Sue climbs from one step on one step.

Then she if she climbs n times, she will be at the step number:

S(n) = 0 + 1*n

And Bob goes down by 2 steps each time, then after he goes down n times, his position will be:

B(n) = 9 - 2*n

We want to see when they meet, then we need to solve:

S(n) = B(n)

1*n = 9 - 2*n

1*n + 2*n = 9

3*n = 9

n = 9/3 = 3

n = 3.

This means that they meet a the step:

S(3) = 3*1 = 3

B(3) = 9 - 2*3 = 9 - 6 = 3

They meet at the third steep.

Answer:

y=3/2x-7

Step-by-step explanation:

the equation of the line for slope-intercept form is y=mx+b, where  m is the slope and b is the y intercept.

we are given two points: (4,-1) and (8,5)

the equation for slope is (y2-y1)/(x2-x1)

label the points:

x1=4

y1=-1

x2=8

y2=5

now substitute into the equation:

m=(5--1)/(8-4)

m=6/4

m=3/2

the slope of the line is 3/2

here is our equation so far:

y=3/2x+b

we need to find b

since the equation will pass through the points, we can substitute either one into the equation to find b

let's use (4,-1) as an example

substitute into the equation

-1=3/2(4)+b

-1=6+b

-7=b

the y intercept is -7

so the equation is y=3/2x-7

hope this helps!

Answer:

8 meters per minute

Step-by-step explanation:

120/50=8

Hope this helps! :)

Answer:

8 meters/second

Step-by-step explanation:

Divide the distance(120 meters) by the time(15 minutes) to find the answer. the formula for any speed problem is d/t.

Hope this helps!

Answer:

y=-2x-8

Step-by-step explanation:

-2-4/-3-(-6)=-6/3=-2

y-4=-2(x-(-6))

y-4=-2(x+6)

y-4=-2x-12

y=-2x-12=4

y=-2x-8

Answer:

To get the circumference, multiply the diameter by pi.  You have the diameter in meters, and you were given an approximate value of pi.  Multiply these 2 numbers, and get the circumference in meters.

Step-by-step explanation:

Answer:

144π or about 452.39

Step-by-step explanation:

Diameter = 24 meters

Radius = diameter/2 = 12 meters

Area of a circle = π*radius*radius = π*radius^2

Area = π*12^2 = 144π = 452.39

Answer:

1/5

Step-by-step explanation:

Answer:

5x-3xy+2?

srry if its wrong

Answer:

5x- 3xy +2

Step-by-step explanation:

Follow the rule of PEMDAS to simplify expressions.

Answer:

-7b

Step-by-step explanation:

Ok soo you have add the terms.

1b+(-8b)=-7b

Have a good!!

Answer:

-9b

Step-by-step explanation:

i'm assuming this is just combining like terms so if you ignore the (b) you will have

6-5+(-8)

-1+(-8)

-9

then you put back the variable and you get -9b

Answer:

4.67

Step-by-step explanation:

calculator says so

Answer:

7*2/3=14/3 the simplified form is 4 2/3.

Answer:

i cant see is

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

first number = x

==> x^2 + (x+2)^2 + (x+4)^2 = 2360

==> x = 26

Answer:

The error is;

B. Kimberly did not find the inverse sine of the value she calculated

Step-by-step explanation:

The given parameters of the triangle ΔLMN are;

[tex]\overline {LN}[/tex] = 16

[tex]\overline {NM}[/tex] = 10

∠L = 33°

By sine rule, we have;

[tex]\dfrac{sin \ M}{16} = \dfrac{sin \ L}{10} = \dfrac{sin \ N}{\overline {LM}}[/tex]

Given that ∠L = 33°, we have;

[tex]\dfrac{sin \ M}{16} = \dfrac{sin \ 33^{\circ}}{10}[/tex]

Therefore, we have;

[tex]sin \ M = 16 \times \dfrac{sin \ 33^{\circ}}{10} \approx 0.8714[/tex]

sin M ≈ 0.8714

[tex]\therefore m \angle M = sin^{-1} \, (sin \ M)\approx sin^{-1} (0.8714) \approx 60.62^{\circ}[/tex]

Therefore, m∠M ≈ 60.62°

m∠M ≠ sin M ≈ 0.8714

Therefore;

Kimberly did not find the inverse sine (sin⁻¹) of the value she calculated

When interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

If the interest compounded continuously:

P = $12000, r = 4.5% = 0.045%

[tex]\rm A(t) =12000(e)^{0.045t}[/tex]

When t = 10 years, plug this value in the above expression and calculating, we get;

A(10) = $18819.75

When interest compounded daily:

[tex]\rm A(t) = 12000(1+\dfrac{0.045}{365})^{365t}[/tex]

Plug t = 10 years:

We get;

A(10) = $18819.22

Similarly,

If interest is compounded monthly:

n = 12 and t =10, we get:

A(10) = $18803.91

Thus, when interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ1

Answer:

B 1 1/2 pts

4 fluid ounces = 0.25 pints

24 fluid ounces = 6 pt