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Korolek [52]

2 years ago

pha \times sin \alpha = " alt=" tan \alpha \times sin \alpha = " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

galina1969 [7]2 years ago

4 0

Tan(α) x sin(α)

Using tan(t) = sin(t) / cos(t), transform the expression:

sin(α) / cos(α) x sin(α)

Calculate the product:

sin(α)² / cos(α)

Final answer:

= sin(α)² / cos(α)

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A triangle in Quadrant I is reflected twice, first over the y-axis and then over the x-axis. The new triangle, in Quadrant III,

denpristay [2]

Answer: rotation

Step-by-step explanation:

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2 years ago

A scoop of ice cream has 1.5 inch radius. How talk should the cream cone of the same radius be in order to contain all of the ic

MAVERICK [17]

Answer:

The cream cone should be 6 inches.

Step-by-step explanation:

Given:

A scoop of ice cream has 1.5 inch radius.

Now, to find the height of the cream cone.

So, we need to get the volume of scoop by putting formula:

Radius (r) = 1.5 inch.

Using the value π = 3.14.

$Volume=\frac{4}{3} \pi r^3$

$Volume=\frac{4}{3}\times 3.14\times 1.5^3\\\\Volume=\frac{4}{3}\times 3.14\times 3.375\\\\Volume=14.13\ inches^3.$

Thus, the volume of the ice cream scoop is 14.13 cubic inches.

So, to put all of the ice cream inside the cone.

We take the cream cone volume as the scoop volume.

Let the height of cone be $h.$

As, given radius is same.

Now, to get the height of the cream cone we put formula of volume:

$Volume=\pi r^2\frac{h}{3}$

$14.13=3.14 \times (1.5)^2\times \frac{h}{3}\\\\14.13=3.14\times 2.25\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$42.39=3.14\times 2.25\times h\\\\42.39=7.065\times h$

Dividing both sides by 7.065 we get:

$6=h$

$h=6\ inches.$

Hence, the height of the cone = 6 inches.

Therefore, the cream cone should be 6 inches.

7 0

2 years ago

* E Which angle is an acute angle?

vodomira [7]

Answer:

angle COD is right answer

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2 years ago

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Anna11 [10]

140 degrees because an angle of a circle is 360 degrees and you can subtract these angles from it to get 140 degrees

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2 years ago

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What value of x satisfies the equation x + 3 = -(x + 1)?

blagie [28]

x = -2

Hope this helped!!! :D

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2 years ago