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3 years ago

Please help! With explanation, thanks!

Mathematics

1 answer:

Ber [7]3 years ago

4 0

45.6%, I think

If the angle was 45 degrees, then 50% of the circumference of the ice cream would be inside the cone.
But the real angle is 41. 41 = (41/45) * 45

So if we multiply 45 by 41/45, we get 41. In the same way, if multiply the "50%" by 41/45, we get the percentage of ice cream circumference that is in the cone.

50% * 41/45 = 45.6%

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Show that the transformation T defined by T(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.

erastovalidia [21]

Let u = (1, 0) and v = (0, 1). Then

T (u) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

T (v) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=> T (u) + T (v) = (-1, 9, 5)

but

T (u + v) = T (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=> T (u + v) ≠ T (u) + T (v)

which means T does not preserve addition, so it is not linear.

4 0

2 years ago

I need help on this the full answer

Elan Coil [88]

Answer:

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Step-by-step explanation:

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2 years ago

The graph shows the solution to which system of inequalities?

postnew [5]

Answer:

is A B and D

Step-by-step explanation:

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2 years ago

Olga had more than 6 aces in what percent of tennis matches

Tanya [424]

Answer:

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Step-by-step explanation:

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2 years ago

Please help! Find the value of X. Round to the nearest tenth. acellus

just olya [345]

9514 1404 393

Answer:

38.2°

Step-by-step explanation:

The law of sines tells you ...

sin(x)/15 = sin(27°)/11

sin(x) = (15/11)sin(27°) . . . . . multiply by 15

x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

x ≈ 38.2°

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Additional comment

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.

7 0

3 years ago