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3 years ago

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Mathematics

1 answer:

Papessa [141]3 years ago

4 0

I think it’s uh lster

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Kenji packed an exercise ball into a cylindrical package. The inflatable exercise ball is made out of vinyl. How much vinyl was

Fofino [41]

An exercise ball, also known as a yoga ball, is a ball constructed of soft elastic with a diameter of approximately 35 to 85 centimeters (14 to 34 inches) and filled with air. The air pressure is changed by removing a valve stem and either filling with air or letting the ball deflate. It is most often used in physical therapy, athletic training and exercise. It can also be used for weight training. The ball, while often referred to as a Swiss ball, is also known by a number of different names, including balance ball, birth ball, body ball, ball, fitness ball, gym ball, gymnastic ball, physio ball, pilates ball, naval mine, Pezzi ball, stability ball, Swedish ball, or therapy ball.

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3 years ago

How to use trig to find missing side or angle of right triangles.

andrew11 [14]

Explanation

Right triangles are triangles with one right angle i.e. one angle with a measure of 90° so when we deal with this type of figures we know at least one of its internal angles. The opposite side to the right angle is known as the hypotenuse whereas the other two sides are called legs.

Trigonometric functions in right triangles give us the following identities:

$\begin{gathered} \tan x=\frac{\text{opposite side}}{\text{adjacent side}} \\ \cos x=\frac{\text{adjacent side}}{\text{hypotenuse}} \\ \sin x=\frac{\text{opposite side}}{\text{hypotenuse}} \end{gathered}$

We also have the Pythagorean theorem that states that the square of the hypotenuse is the sum of the squares of the legs.

Let's imagine that we have a right triangle like the following:

If we want to find the missing angles A and/or B we need to know at least two sides of the triangle.

For example, if we want to find B and we have b and a we can use the tangent of B and its inverse the arctangent (tan^(-1)):

$\tan B=\frac{b}{a}\rightarrow B=\tan^{-1}(\frac{b}{a})$

If we know a and c we can find B using its cosine:

$\cos B=\frac{a}{c}\rightarrow B=\cos^{-1}(\frac{a}{c})$

If we know b and c then we can use the sine:

$\sin B=\frac{b}{c}\rightarrow B=\sin^{-1}(\frac{b}{c})$

We can also do the same for angle A, we just need to use its corresponding opposite side and adjacent side. And that's how you find a missing angle using trigonometry in a right triangle.

If we are looking for a missing side we can also use trigonometry. In order to find a missing side we need two other sides or another side and an angle. For example, let's assume that we want to find side a.

If we have b and c then we just need to use the Pythagorean theorem:

$c^2=a^2+b^2\rightarrow a=\sqrt{c^2-b^2}$

If we have b and A then we can use the tangent of A to built an equation for a:

$\tan A=\frac{a}{b}\rightarrow a=b\cdot\tan A$

If we have b and B we can use the tangent of B:

$\tan B=\frac{b}{a}\rightarrow a=\frac{b}{\tan B}$

If we have A and c we can use the sine of A:

$\sin A=\frac{a}{c}\rightarrow a=c\cdot\sin A$

If we have B and c we can use the cosine of B:

$\cos B=\frac{a}{c}\rightarrow a=c\cdot\cos B$

And that's how you find a missing side using trigonometry.

8 0

1 year ago

I need help as soon as possible the answers are 7 102 14 51

yanalaym [24]

Answer:

The length of diagonal TU is 102 units

Step-by-step explanation:

Mathematically, the diagonals of a parallelogram bisect each other

This means that the lengths on either of the either of the sides are equal

Mathematically, we have it that;

7x + 2 = 6x + 9

7x - 6x = 9-2

x = 7

The diagonal TU has the measure of ;

(7x + 2) + (6x + 9)

7x + 6x + 2 + 9

= 13x + 11

substituting the value of x, we have

13(7) + 11

= 102

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3 years ago

What is 351875 rounded to the nearest hundred thousand

alexandr402 [8]

Sometimes an exact answer is not required. To round numbers to the nearest hundred thousand, make the numbers whose last five digits are 00001 through 49999 into the next lower number that ends in 00000. For example 6,424,985 rounded to the nearest hundred thousand would be 6,400,000.

Hope I helped:)

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3 years ago

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Alli rolls a standard -sided die twice. What is the probability of rolling integers that differ by on her first two rolls?

Virty [35]

Okay lol i lol i i lol lol lol just said that he’s not

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3 years ago