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dybincka [34]
2 years ago
10

Is y=0.3x proportional

Mathematics
2 answers:
Papessa [141]2 years ago
4 0

Answer:

yes

Step-by-step explanation:

Alina [70]2 years ago
4 0
Yes






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What is the measure of angle TMS? Pls explain your answer and I will mark brainliest!
Rudik [331]

Answer:

38 degrees

Step-by-step explanation:

If the line is tangent that means it forms a 90 degree angle. The angle measure of the inside of a triangle is equal to 180 degrees. If you add 52 and 90 you get 142. Subtract this amount from 180 and you will get the measure of m TMS

3 0
3 years ago
1. What is the value of x? 2. What is the value of x?
Ann [662]

1. x = (11y+8)/7

2. x = 12

8 0
3 years ago
Read 2 more answers
Factor completely 3x3 + 12x2 + 18x.
Elza [17]
Factor out a 3x:
3x(x2+4x+6)

Since you can't factor out the quadratic that's as far as it goes:

Answer:
3x(x2+4x+6)
4 0
3 years ago
Read 2 more answers
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
What is the volume of this equation?
Pachacha [2.7K]

Answer:

Volume ≈ 33.33 cubic feet

Step-by-step explanation:

The question is:

<em>Find the volume of a right square pyramid with base square edges measuring 5 feet each and a height of the pyramid be 4 feet.</em>

<em />

So, the base is a square with side length 5 feet.

And the height of the pyramid is 4 feet.

The volume of a pyramid is given by the formula:

V=\frac{a^2 h}{3}

Where

a is the square base side length (given as 5)

h is the height of the pyramid (given as 4)

Now we substitute and find the value:

V=\frac{a^2 h}{3}\\V=\frac{(5)^2 (4)}{3}\\V=33.33

The volume is around 33.33 cubic feet

5 0
2 years ago
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