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Andru [333]
3 years ago
10

It takes about me 25 minutes to make out a test for a mathematics class how long will it take to make out test for all five of m

y classes proportions
Mathematics
2 answers:
ira [324]3 years ago
6 0

Answer:

125 minutes total.

Step-by-step explanation:

You do:

25 times 5

= 125 minutes.

Anettt [7]3 years ago
5 0

Answer:

Step-by-step explanation:

125 minutes.

If you take 25 minutes to make out a test for all 5 classes the equation would be 25 minutes x 5 classes and = 125 minutes.

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100 POINTS PLEASE HELP ME 100 POINTS (make fullscreen)
Anit [1.1K]

Answer:

  • 1) 64, 2) 6, 3) 26, 4) 33

Step-by-step explanation:

<h3>#1</h3>

<u>Sum of interior angles is 180</u>

  • 70 + 46 + x = 180
  • 116 + x = 180
  • x = 64
<h3>#2</h3>

<u>Sum of interior angles is 180</u>

  • 84 + 7x + 1 + 9x - 1 = 84
  • 16x + 84 = 180
  • 16x = 96
  • x = 6
<h3>#3</h3>

<u>Vertical angles are same, the sum of remaining angles is same for both triangles:</u>

  • 35 + 25 = 34 + x
  • 60 = 34 + x
  • x = 60 - 34
  • x = 26
<h3>#4</h3>

<u>Exterior angle is same as the sum of non-adjacent interior angles:</u>

  • 5x - 7 + 6x + 3 = 84
  • 11x - 4 = 84
  • 11x = 88
  • x = 8
  • m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
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Which of the following numbers could not be represent a probability
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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}

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3 years ago
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