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3 years ago

A shooting star forms a right triangle with the Earth and the Sun, as shown below:

Mathematics

1 answer:

Semmy [17]3 years ago

7 0

I found this!!!!

The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

This is:

cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

In this case:

\begin{gathered}\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC\end{gathered}

α=x\°

adjacent=BC=y

hypotenuse=AC

Therefore, the scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

, and solve for the distance between the Sun and the shooting star "AC":

cos(x\°)=\frac{y}{AC}cos(x\°)=

AC=\frac{y}{cos(x\°)}AC=

cos(x\°)

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4 years ago

The net of a rectangular prism is shown below.

Mamont248 [21]

Answer:

Step-by-step explanation:

Using a net to find the surface area of a rectangular prism

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units.

Surface Area of a Rectangular Prism using Nets

A rectangular prism or cuboid is formed by folding a net as shown −

Cuboid

We can see from the net that there are two rectangles with dimensions 3 cm by 6 cm, two rectangles with dimensions 2 cm by 6 cm and two rectangles with dimensions 2 cm by 3 cm. The total surface area is then

2 × 3 × 6 + 2 × 2 × 6 + 2 × 2 × 3 = 72 cm2

Example 1:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism in Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 6 ; w = 5; h = 3

Step 2:

Surface area of given prism = 26×5+6×3+3×5

= 230+18+15

= 126 square cm

Example 2:

Find the surface area of the given rectangular prism in square cm.

Rectangular Prism Square cm

Solution

Step 1:

Using net, the surface area of a rectangular prism

= 2lw+wh+lh; l = 5; w = 6; h = 4

Step 2:

Surface area of given prism = 25×6+5×4+6×4

= 230+20+24

= 148 square cm

6 0

3 years ago

Read 2 more answers

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Tanzania [10]

The answer is 1 1/2

Hope this helps

7 0

3 years ago

Read 2 more answers

FIVE STARS AND BRAINLIEST TO CORRECT ANSWER

spin [16.1K]

The series is -10-2+6+14+...+110
We see that the common ratio is 8, so it is of the form T0+8n
We also see that T0=-10 (i.e. when the pattern starts.
So we have
Tn=-10+8n
and the summation would be
∑ (-10+8n)

Next to determine the limits.
We know that the first term is -10, which fits T0=-10+8(0).
The last term is 110, which gives the equation Tn=110=-10+8(n)
Solving for n gives
n=(110+10)/8=15

Therefore the limits of summation are 0, 15
hence the summation formula is
$\sum_0^{15}(-10+8n)$

I will leave the other problem you posted for your own exercise.

3 0

3 years ago

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Sedaia [141]

50 goes 2 times into 186 when dividing

4 0

4 years ago