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Lostsunrise [7]
2 years ago
8

Q1: Fill in the blanks:a) The number 3.23 can be expressed as fraction​

Mathematics
2 answers:
Len [333]2 years ago
7 0

Answer:

yes, as 3  23/100

Step-by-step explanation:

because

ozzi2 years ago
6 0

Answer:

I think it could be 3 23/100

Step-by-step explanation:

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4. Three college friends rent an apartment. They are required to pay two months’ rent plus a $600 security deposit when they sig
Anni [7]

Answer:

3500$

Step-by-step explanation:

3800÷2-600=1300$

3 0
3 years ago
Find the distance between P1(4,16degrees) and P2(-2,177degrees) on the polar plane.
bazaltina [42]
Polar coordinates give the distance from the origin and the angle from the positive x axis. Cartesian coordinates give the distance from the x and y axes.

You can draw a right triangle with these values. (see attached)
If you know the r value and theta of that triangle below, you can use trig to find x and y.

Let's convert (4, 16°) to Cartesian coordinates.

Note that since our angle is acute, (in Quadrant I) our sine and cosine will both be positive, as you should be able to derive from the unit circle, where cosine is represented as an x value and sine is represented as a y value.

cosine = adjacent / hypotenuse
cosθ = x/r
cos(16°) = x/4
4cos(16°) = x ≈ 3.84504678375

sine = oppsite / hypotenuse
sinθ = y/r
sin(16°) = y/4
4sin(16°) = y ≈ 1.10254942327<span>

So (4, 16°) </span>⇒ (3.84504678375, 1.10254942327).

Let's convert (-2, 177°)  to Cartesian coordinates.
Whenever you have a negative radius, that means to put the point opposite where it would have been if it had a positive radius. (see attached)

In that case, we can essentially add 180° to our current 177° to the same effect. That means that (-2, 177°) = (2, 357°).

Note that since our angle is in Quadrant IV, our cosine will be positive, but our sine will be negative. (as derived from the unit circle) We don't have to worry about this since our calculator figures this for us, but you should pay attention to it if you are converting from Cartesian to polar.

cosine = adjacent / hypotenuse
cosθ = x/r
cos(357°) = x/2
2cos(357°) = x ≈ 1.99725906951

sine = opposite / hypotenuse
sinθ = y/r
sin(357°) = y/2
2sin(357°) = y ≈ -0.10467191248

So (-2, 177°) ⇒ (1.99725906951, -0.10467191248).

Now we must use the distance formula with our two points.
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
d\approx\sqrt{(1.99725906951-3.84504678375)^2+(-0.10467191248-1.10254942327)^2}
d\approx\sqrt{-1.84778771^2+-1.20722134^2}
d\approx\sqrt{3.41431942+1.45738336}
d\approx\sqrt{4.87170278}
\boxed{d\approx2.20719342}

7 0
2 years ago
When each side of an equation has been simplified, equations that have BLANK coefficients and BLANK constants on each side have
kobusy [5.1K]

Answer:

The answer is below

Step-by-step explanation:

An equation shows the relationship between two or more variables. An equation is a statement that shows the equality between expressions. An equation with infinitely many solution is when all numbers are solutions, that is there is no one solution. Example is: x + 3 = x + 3.

When each side of an equation has been simplified, equations that have the same coefficients and the same constants on each side have infinitely many solutions

7 0
2 years ago
Use complete sentences to describe why Set A = { X | X is an even whole number between 0 and 2} = No solution/or empty set.
Inessa05 [86]
A = {1}
(conjunto unitário)
5 0
3 years ago
Why is the derivative equals to 0?
Lisa [10]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

• tan²x + 1 = sec²x

⇒ tan²x - sec²x = - 1

Thus the derivative reduces to

\frac{d}{dx} ( - 1 ) = 0

7 0
3 years ago
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