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2 years ago

Consider the equation 1.5x+4.5y=18. For each question, explain or show your reasoning.

Mathematics

1 answer:

Alchen [17]2 years ago

8 0

Given:

The equation is

$1.5x+4.5y=18$

To find:

The y-intercept (in ordered pair).

Solution:

We have,

$1.5x+4.5y=18$

Putting x=0, we get

$1.5(0)+4.5y=18$

$0+4.5y=18$

$4.5y=18$

Divide both sides by 4.5.

$y=\dfrac{18}{4.5}$

$y=4$

So, y-intercept is 4.

Therefore, the graph intersect the y-axis at (0,4).

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An arrow is shot at an angle of θ=45∘ above the horizontal. The arrow hits a tree a horizontal distance D=220m away, at the same

Alborosie

Let us solve the Part A first.

In order to find the time we use the formula for the range of a projectile:

R = v^2 multiply by sin(2θ) divided by g

220 = v^2 multiply by sin(2 multiply by 45) divided by 9.8

220 = v^2 divided by 9.8

V^2 = 2,156

v = 46.43 m/s

Now we will find the x component of the velocity:

vx = sin(θ) multiply by v

vx = cos(45) multiply by 46.43

vx = 32.83 m/s

So the time it takes for the arrow to travel 220 m is the same as the time it is in the air:

time = d divided by v

time = 220 divided by 32.83

time = 6.70 seconds

6.70 s.

Now we will solve the part B.

We will start by finding the time it takes for the apple to fall 6.0 m

d = v0 multiply by t + 1 divided by 2 at 2 square

6 = 0 multiply by t + 1 <span>divided by </span>2 multiply by 9.8 multiply by t^2

6 = 4.9 multiply by t^2

t = 1.1066 s

Thus the arrow needs 6.70 s to reach the tree, so we will just subtract for the difference:

wait = 6.70 – 1.1066

wait = 5.59 s

Hence the apple should be dropped 5.59 s after the arrow is shot.

I hope it helped

5 0

2 years ago

Read 2 more answers

Imran deposited 3000 per month (at the start of month) into a saving account for 10 months. If the bank offer 6% interest compou

AnnZ [28]

Answer:

3.590.04

Step-by-step explanation:

The formula given for total amount saved when compounding interest =

A = P(1 + r/n)^nt

Where

A = Total amount saved after t years

P = Principal or initial amount saved

r = Interest rate

n = compounding frequency

t = time in years

From the above question

P = 3000

r =6% = 0.06

n =compounded monthly = 12

t = 3 years

Hence,

A = 3000(1 + 0.06/12)^3 × 12

A = 3000(1 + 0.06/12)^36

A = 3,590.04

Therefore, the total amount Imran will have in his account after 3 years = 3,590.04

4 0

2 years ago

Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What

ivolga24 [154]

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

3 0

2 years ago

An onion farmer is hiring workers to help harvest the onions. He knows that the number of days it will take to harvest the onion

Alisiya [41]

A relationship between a set of inputs

6 0

2 years ago

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Zack borrowed $1,087 for 12 months at 11% interest. if he must pay 11.00 per $100, what is the total amount of money he will rep

Naddika [18.5K]

Answer:

The correct option is d.

Step-by-step explanation:

It is given that Zack borrowed $1,087 for 12 months at 11% interest. It means he must pay 11.00 per $100.

Formula of simple interest:

$I=\frac{P\times r\times t}{100}$

Where P is principal amount, r is rate of interest in percentage and t is time in years.

$I=\frac{1087\times 11\times 1}{100}$

$I=119.57$

The interest paid by Zack is $1,087.

The total amount of money he will repay is

$1,087+119.57=1,206.57$

Therefore option d is correct.

0 0

2 years ago

Read 2 more answers