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astraxan [27]
3 years ago
12

Write the polar coordinates (3, π) in rectangular form.

Mathematics
1 answer:
nlexa [21]3 years ago
6 0

\bf (\stackrel{\stackrel{r}{\downarrow }}{3}~~,~~\stackrel{\stackrel{\theta }{\downarrow }}{\pi })~~\begin{cases}x=rcos(\theta )\\y=rsin(\pi )\end{cases}\implies [3cos(\pi )~~,~~3sin(\pi )]\\[2em][3(-1)~~,~~3(0)]\implies \boxed{(-3,0)}

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Simplify:<br>-3(x-14)+6x <br>who knows the answer to this plz help
Mariulka [41]
Distribute -3 in
-3x + 42 + 6x
3x + 42
Hope this helps!
3 0
3 years ago
2^x-4x=0 find the value of x in the equation
ella [17]

9514 1404 393

Answer:

  x ≈ 0.309906932381 or 4

Step-by-step explanation:

There are no algebraic methods of solving a mixed exponential and polynomial equation. The value of x can be found by guessing, or by other means such as trial and error or graphing.

Attached is a graph showing two solutions. x = 4 is the integer solution (2^4 = 4·4). The irrational solution is approximately x ≈ 0.309906932381. That precision is obtained by Newton's method iteration, easily done by a graphing calculator.

3 0
2 years ago
Delia went to the market to buy 4.5 pounds of sliced fruit in a container.she paid with a 20 bill and a 5 bill and received 3.67
Goryan [66]

Answer:

<h2>One pound of the item will cost 4.74 bill</h2>

Step-by-step explanation:

In this problem, we are told that Delia bought 4.5 pounds of fruit

and paid with a toa total bill of 20+5= 25 bill

and also she received a  change of 3.67

this means that the item she bought cost 25-3.67= 21.33bill

now if 4.5 pounds of items cost 21.33 bill

then 1 pound will cost Xbill

cross multiply and solve for Xbill

X= 21.33/4.5

X= 4.74 bill

One pound of the item will cost 4.74 bill

4 0
3 years ago
$82.50 for 7 1/2 hours of work. what is your rate of pay?
Tresset [83]
Simple,

Total=$82.50
Total Hours Worked= 7.5

82.50/7.5=11

Thus, your hourly rate of pay, is $11.
8 0
3 years ago
Can someone help me find the area of this figure ? Thanks!
nordsb [41]

Answer:

  • 25 units²

Step-by-step explanation:

<u>We know that:</u>

  • Some squares are 100% shaded, and some are half shaded.
  • Half shaded squares: 10 squares
  • 100% shaded: 20 squares
  • Area of figure = Area of half shaded + Area of 100% shaded

<u>Solution:</u>

  • Area of figure = Area of half shaded + Area of 100% shaded
  • => Area of figure = (10 x 1/2) + 20
  • => Area of figure = 5 + 20
  • => Area of figure = 25 units²

Hence, the area of the figure is 25 units².

3 0
2 years ago
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