Answers
[tex](\sqrt{2}{, 45^{\circ})[/tex]
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Explanation:
The original point is in cartesian form (x,y). We have x = 1 and y = 1 pair up together.
The radius is [tex]r = \sqrt{x^2+y^2} = \sqrt{1^2+1^2} = \sqrt{2}[/tex]
The angle theta is [tex]\theta = \tan^{-1}(y/x) = \tan^{-1}(1/1) = 45^{\circ}[/tex]
Therefore, the polar form is [tex](r, \theta) = (\sqrt{2}, 45^{\circ})[/tex]
The idea is to start at the origin while facing directly east at the angle 0 degrees. Then turn 45 degrees to the north (going counterclockwise) and then move [tex]\sqrt{2}[/tex] units away from the origin. Doing these steps will take you to the point (x,y) = (1,1)
Related Questions
At Silver Gym, membership is $30 per month, and personal training sessions are $35 each. At Fit Factor, membership is $60 per month, and personal training sessions are $25 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Answers
Answer: 5 personal training sessions
Step-by-step explanation:
Given only 1 month, then set the 2 equations equal to each other, given that x=# of personal training sessions:
25+45x = 75 + 35x
-25-35x -25-35x
So, 10x=50; divide both sides by 10, to get:
5, so, 5 personal training sessions per month to make the 2 costs equal to one another.
HELP!Use elimination method to solve the system of equations please fast
Answers
Answer:
x=1/4 Y=-1/2 z=1/3
Step-by-step explanation:
due to large fractions the answer is explained in the image above
. Complete this calculation
1/2 ×1/4
Answers
Answer:
1/8
Step-by-step explanation:
1) Calculating the numerator value
1 x 1 12) Calculating the denominator value
2 x 48The solution will be in the form :
Numerator / Denominator ⇒ 1/8
i need help please !!
Answers
Answer:
D. d-0.29
Step-by-step explanation:
29÷(0.29)=100
29÷0.29=100
They both equal 100 meaning that D is the answer.
A gelatin mold is in the shape of a hemisphere (half-sphere). If its diameter is 4 inches, find the exact volume of gelatin that 10 molds will hold.
Answers
Two hemispheres will be equal to a spheres, hence the volume of 10 hemispheres is 266.581 cubic inches
Volume of hemispheresGiven Data
Shape is that of hemisphereNo of hemisphere = 102 hemispheres = 1 sphere10 hemispheres = 5 spheresradius = 4inchesLet us find the volume of sphere
Volume = 4/3 *πr^3
Volume = 4/3*3.124* 4^3
Volume = 4/3*3.124*64
Volume =266.581 cubic inches
Learn more about hemispheres here:
https://brainly.com/question/25641436
What is the domain and range? what type of relation is this
Answers
Rewrite each equation without absolute value for the given conditions
y=|x-5|+|x+5| if x>5
y=|x-5|+|x+5| if x<-5
y=|x-5|+|x+5| if -5
Answers
Step-by-step explanation:
Condition 1x > 5, both terms are positive
y = x - 5 + x + 5 = 2xCondition 2x < - 5, both terms are negative
y = - (x - 5) - (x + 5) = - x + 5 - x - 5 = - 2xCondition 3This is not clear
If x>5
Terms are positiveHence..
y=x-5+x+5=2xIf x<-5 terms are negative
y=-x+5-x-5=-2xIf x=-5
y=|-5-5|+|-5+5|y=|-10|y=10which expression is equivalent to
Answers
Answer:
Option D
Step-by-step explanation:
[tex]6\dfrac{3}{5}*\dfrac{5}{8}=\dfrac{5}{8}*6\dfrac{3}{5}[/tex]
Poperty : Commutative property of multiplication.
When two numberes are multiplied, changing the order of numbers will not change the result.
write an equation of the line in slope-intercept form where slope equals 1/4 and y-intercept equals 0, - 5
Answers
Answer:
[tex]y=\frac{1}{4}x-5[/tex]
Step-by-step explanation:
Write an equation of the line in slope-intercept form where slope equals 1/4 and y-intercept equals 0, - 5
Slope-intercept form: y = mx + b
m = slope
b = y-intercept (when x = 0)
Ex:
y = 5x + 2
m = 5b = (0, 2)For our problem:
[tex]y=\frac{1}{4}x-5[/tex]
m = [tex]\frac{1}{4}[/tex]b = (0, -5)Hope this helps!
Jeff is buying books at a used booksttore.He wants to approximate the total cost of his purchase before checking out
Answers
Add. Write your answer as a mixed number in simplest from.
7 3/4 + 4 2/7
Answers
Answer: 12 1/28
Step-by-step explanation:
Add whole numbers. Solve fractions by finding the LCD.
5 x 7/20 and i really need help
Answers
Answer:
THE ANSWER IS 7/4
Step-by-step explanation:
Step-by-step explanation:
[tex]5 \times \frac{7}{20} \\ = \frac{35}{20} \\ = \frac{7}{4} [/tex]
answerr......
Kaitlynn needs 3 pounds of fruit for a salad.
She already has 34 pound of apples and 13 pound of grapes.
How many more pounds of fruit does she need to buy?
Answers
Answer:
She has 1 and 1/12 pounds of fruit already and she needs 1 and 11/12 pounds more to have 3 total pounds
How do I find the area of the blue shape? Don't worry about the other colored one.
Answers
Answer:
80 cm²
Step-by-step explanation:
Let's break down the composite shape into two parts. (Image attached)
Let "a" represent the area of the smaller square.Let "b" represent the area of the bigger square⇒ The side length of "a" is 4 cm.
⇒ The side length of "b" is 8 cm.
First, let's find the area of square "a". Keep in mind that the area of a square is the side multiplied by itself.
⇒ (Side)² = A
⇒ (4)² = Area of "a"
⇒ (4)(4) = Area of "a"
⇒ 16 cm² = Area of "a"
Next, find the area of square "b". Keep in mind that the area of a square is the side multiplied by itself.
⇒ (Side)² = A
⇒ (8)² = Area of "b"
⇒ (8)(8) = Area of "b"
⇒ 64 cm² = Area of "b"
Finally, let's sum up the area of square "a" and "b" to find the area of the composite shape.
⇒ Area of composite shape = Area of "a" + Area of "b"
⇒ Area of composite shape = 16 + 64
⇒ Area of composite shape = 80 cm²
1 Camille has 26 pieces of ribbon for making cards.
She needs 4 pieces of ribbon for each card.
How many cards can Camille make? How many
pieces of ribbon will be left over?
Answers
Answer:
Camille can make 6 cards and will have 2 ribbons left
Step-by-step explanation:
[tex]\begin{equation}\text { Question: The value of } \lim _{n \rightarrow \infty} \frac{1}{n} \sum_{r=0}^{2 n-1} \frac{n^{2}}{n^{2}+4 r^{2}} \text { is }\end{equation}[/tex]
Answers
You have something resembling a Riemann sum. Multiply through the summand by 1/n², then you can write
[tex]\displaystyle \lim_{n\to\infty} \frac1n \sum_{r=0}^{2n-1} \frac{1}{1+4\left(\frac rn\right)^2} = \int_0^2 \frac{dx}{1+4x^2} = \boxed{\frac12 \tan^{-1}(4)}[/tex]
At andres birthday party 3 pizzas were ordered for lunch. Each pizza was divided into 8 equal slices. Each child ate 2 pieces and there were 2 pieces left how many children were at the party?
Answers
Answer: I dont know if im right for sure but the answer should be 4
Step-by-step explanation
8 goes into 2 4 times (8 divided by 2 = 4)
Each child ate 2 pieces (4-2=2)
so therefore for it to be 2 pieces left over there were 4 kids I think.
Answer:
11
Step-by-step explanation:
So each pizza has 8 equal slices but we don't know the amount pizzas but we can find it by doing this ⬇️
1 pizza= 8 slices
3 pizzas = x
you cross multiply it and it will end up as 3×8= 24 slices.
now each kid ate 2 pieces and there was a leftover of 2
therefore, 24-2= 22 pieces divided 2 is 11
or; 3×8=24-2=22÷2=11
True or false, in a ratio the units are not written
Answers
Answer:
True
Step-by-step explanation:
A ratio is normally written using whole numbers only, with no units, in its simplest form. The numbers in a ratio must be written using the same units.
e.g. ratio of 1:2
False, ratio's do no have units.
Apr 09,5:30:49 PM
Please help I am lost I’m not smart…
Answers
the piece-wise function is, -x - 5 when x ≠ -2
and when x = -2, the function's value is -2
what that means is when x = -4, the subfunction of -x - 5 is the one to use, because x = -4 is in that range
so f(-4) = -(-4) - 5 => f(-4) = -1.
so the function's graph look more or less like the one below, with a solid line going but with a gap at x = -2.
Help pls! pls explain too
Answers
you're going to set them equal to each other. subtract the x's on both sides and add the number (in this case, 5) on both sides of the equation. then divide the x by the 21 (you get 21 by adding the 5 to the 16). 21/3 = 7
(3*8-3)/3
How do you solve this?
Answers
Answer:
7
Step-by-step explanation:
Equation: (3*8-3)/3
Step 1: (24-3)/3
Step 2: 21/3
Step 3: 7
Order of operations is used in this equation. You simplify the terms in the parentheses before the other terms in the equation. According to the order of operations (parentheses, exponents, multiplication, division, addition, and subtraction, you do the multiplication before the subtraction in the parentheses. Then you subtract your three from your multiplication result (twenty-four). This leaves you with 21. Finally, you divide twenty-one by three. This gets you seven.
I got test tomorrow help.
Answers
So we can make an equation: 180=112+25+x+17
Add like terms
180=154+x
Move 154 to the other side as a negative number
X is equal to 26
pa help guys,
probability distribution
Answers
Answer:
14
Step-by-step explanation:
Hope it helps
Estimate how many times larger 5x10^8 is than 24x10^6?
A) 10 times larger
B) 20 times larger
C) 50 times larger
D) 100 times larger
Answers
Answer:
20times bc u times 5 by 10 then divide 8 u get 6.2
f(x)= (x+1)/(x-1)
find the derivative using the definition
Answers
[tex]\text{Given that,}\\\\f(x)= \dfrac{x+1}{x-1}\\\\\\f'(x)=\lim\limits_{h \to 0} \dfrac{f(x+h) - f(x) }{h}\\\\\\ ~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\left( \tfrac{x+h+1}{x+h-1}\right) - \tfrac{x+1}{x-1}}{h}\\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{(x+h+1)(x-1) - (x+1)(x+h-1)}{(x+h-1)(x-1)}}{h} \\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{x^2-x+hx-h+x-1 - x^2-xh+x-x-h+1}{(x+h-1)(x-1)}}{h}\\\\\\~~~~~~~~[/tex]
[tex]~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{-2h}{(x+h-1)(x-1)}}{h}\\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{-2}{(x+h-1)(x-1)}\\\\\\~~~~~~~~=\dfrac{-2}{(x+0-1)(x-1)}\\[/tex]
[tex]\\\\~~~~~~~~=\dfrac{-2}{(x-1)(x-1)}\\\\\\~~~~~~~~=\dfrac{-2}{(x-1)^2}[/tex]
Question 7 (Essay Worth 5 points)
(7.03)
An equation is shown below:
6(2x - 11) + 15 = 21
Write the steps you will use to solve the equation and explain each step.
Answers
Answer:
x=6
Step-by-step explanation:
The first thing you should start with is distributing the 6 inside the parentheses, which would give us (12x - 66) + 15 = 21. Now we can add like terms on this side of the equation to get: 12x -51 = 21. Add the 51 to the right side to get 12x = 72, then divide both sides by 12 to get x = 72/12 or 6.
x=6
Hope this helps!
Marking this brainliest also helps me out too :)
Steven is 42 inches tall. On average he grows at a rate of 5.5% each year. How tall will
Steven be in 3 years?
Answers
Answer:
about 49.3 inches
Step-by-step explanation:
[tex]42 \times {1.055}^{3} = 49.318[/tex]
the temperature on wednesday was "-17" degrees. From Tuesday to Wednesday it got 24 degrees colder. What was the temperature on Tuesday?
Answers
Answer:
-41 degrees
Step-by-step explanation:
Since we're getting colder you would subtract 24 from the current -17 degrees.
-17-24 = -41
MAX POINTS Help please and thanks
What is the period and frequency of the function graphed and how would the equation be written?
Answers
Answer:
Frequency is total number of complete cycle, made in a unit time.
Period is the time taken to complete a cycle.
Step-by-step explanation:
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \bf \dashrightarrow \:y =a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6[distance between any successive Crest or trough]
a = - 4 (flipped)b = 2π/p = 2π/6 = π/3k = -2Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \bf \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]
helpppppp pls operations