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4 years ago

Give two representations in polar coordinates for the rect- angular point (−3,−3√3)

Mathematics

1 answer:

Virty [35]4 years ago

4 0

I think i saw the answer to this question on yahoo look for it there

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Problem 9

lapo4ka [179]

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at $\frac{1}{4}$ capacity, we can use the equation:

$\frac{1}{4} * 12 = \boxed{3}$

This shows $\frac{1}{4}$ of his tank's capacity ( $12$ ) is equal to $3$ gallons. This means he will stop for gas when $3$ gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

$\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}$

This is a simple proportion, and now we know he uses $2.5$ gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has $7$ gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

$\frac{7-3}{2.5} = 1.6$

The $7-3$ is because Leon doesn't stop when his tank is empty, he stops $3$ gallons earlier. We are dividing by $2.5$ because that is how much gas he uses per hour, meaning the result of this division ( $1.6$ ) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

12PM + $2$ hours of driving + the remaining $1.6$ hours = 3:36PM

( $1.6$ hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

8 0

2 years ago

Need help for 16) and 19) Solve each equation and check. Show all work please

Paladinen [302]

Step-by-step explanation:

You said the other one would be the last haha just kidding I'm glad to help.

16. $\frac{k}{2}=(-5)^2$

First, get rid of that parenthesis.

$\frac{k}{2}=25$

Now multiply both sides by 2 so that you can isolate k

$2(\frac{k}{2})=25*2$

$k=50$

19. $\frac{r}{3}=\frac{121}{11}$

This is a pretty easy one. If you didn't know, 121/11 is actually 11 :)

$\frac{r}{3}=11$

Simply multiply by 3 to isolate r :)

$3(\frac{r}{3})=11*3$

$r=33$

4 0

3 years ago

Read 2 more answers

Helpppppppppppppppppppppppp

alexdok [17]

First we rewrite the expression:
(4x ^ 3) * (2x) ^ - 4
Using properties of exponents we have:
(4x ^ 3) / (2x) ^ 4
Rewriting:
(4x ^ 3) / 16x ^ 4
(x ^ 3) / 4x ^ 4
(1) / (4x)
answer:
An equivalent expression is:
(1) / (4x)
option 1

5 0

3 years ago

Read 2 more answers

Solve the inequality.<br><br> y−5≥8

mixas84 [53]

Answer:

Y is less than or equal to 13

Step-by-step explanation:

3 0

3 years ago

I don't remember how to solve this problem I missed yesterday when we learned it. 4(x-2+y)

kow [346]

Answer:

4x - 8 + 4y

Step-by-step explanation:

4(x - 2 + y)

4x - 8 + 4y

You multiply each term in the parenthesis by the number in front of it.

3 0

3 years ago