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3 years ago

How do u do the Pythagorean theorem

2 answers:

8 0

The idea of the Pythagorean Theorem is that, when you have a right triangle, a squared + b squared = c squared.

a and b are your two base sides, while c is your hypotenuse, or longest side.

An easy example of this is a 3-4-5 triangle. So if you have a right triangle, and one of the base sides is 3, with the other base being 4, and the longest side being 5.
Test it:
3 squared is 9
4 squared is 16
9+16=25
And 25=5 squared.
Understand?

Bingel [31]3 years ago

4 0

Answer: The Pythagorean theorem states that square the hypotenuses side is equal to the square adjacent side minus the square opposite side.

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Please assist with the geometry questions part 1

kolezko [41]

9514 1404 393

Answer:

1. sin(x) = a/c; cos(x) = b/c; tan(x) = a/b

2, 3 see below

Step-by-step explanation:

1. The mnemonic SOH CAH TOA reminds you of the relationships between trig functions and sides of a right triangle:

Sin = Opposite/Hypotenuse ⇒ sin(x) = a/c

Cos = Adjacent/Hypotenuse ⇒ cos(x) = b/c

Tan = Opposite/Adjacent ⇒ tan(x) = a/b

2. The attachment shows the two special right triangles. The 30-60-90 right triangle has sides in the ratio 1 : √3 : 2. The 45-45-90 isosceles right triangle has sides in the ratio 1 : 1 : √2.

These ratios can be used to write proportions that help you find the length of a missing side.

<em>Example</em>:

Suppose the triangle in problem 1 has x = 30°, and a = 10. Then we could find the length of missing side 'c' using a proportion involving the short side and the long side (hypotenuse).

2/1 = c/10 ⇒ c = 20

3. In a right triangle, the acute angles are complementary. The side adjacent to one acute angle is the side opposite the other. So the sine of one of the angles is the cosine of the other, and vice versa. This means the sine of an angle is the cosine of its complement, and vice versa.

<em>Comment on question 3</em>

The wording of this question is a little strange. Sine and cosine are not complementary. Rather, the angles for which those functions have the same value are complementary.

6 0

3 years ago

If m stands for the number, which best represents the following phrase? The product of eight and a number, decreased by ten *

Whitepunk [10]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Un teren de 220 ha trebuie arat in 3 zile.Stiind ca a doua zi s-a arat de 1,5 ori mai mult ca in frima zi,iar in a treia zi s-a

AVprozaik [17]

I need a translation

5 0

3 years ago

The following function describes the number of employees working at a company, In thousands, where trepresents the number of yea

NISA [10]

Consider the missing part of the question is "Select the correct statement.

A. The number of employees is increasing by 50% every year.

B. The number of employees is decreasing by 10% every year.

C. The number of employees is decreasing by 90% every year.

D. The number of employees is increasing by 90% every year."

Given:

The function is:

$f(t)=1.5(0.90)^t$

Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.

To find:

The correct statement from the given options.

Solution:

The general exponential decay model is:

$f(t)=a(1-r)^t$ ...(i)

Where, a is the initial value, r is the rate of decay and t is the number of years.

We have,

$f(t)=1.5(0.90)^t$

It can be written as

$f(t)=1.5(1-0.10)^t$ ...(ii)

From (i) and (ii), we get

$a=1.5,r=0.10$

The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.

Therefore, the correct option is B.

5 0

3 years ago

How many ways are there to paint a set of 27 27 elements such that 7 7 are painted white, 6 6 are painted old gold, 2 2 are pain

Alexeev081 [22]

Answer:

There are 2,480,721,300,000,00 ways to paint this set.

Step-by-step explanation:

We have that:

A set of 27 elements, of which:

7 are painted white

6 are painted old gold

2 are painted blue

7 are painted yellow

5 are painted green

How many ways are there to paint?

A single change in the set, for example, element 0 exchanged with element 1, means we have a new way. So we use the permutations formula to solve this problem:

Permutations

Permutations of a set of x elements divided into sets of size w,y,z.

The number of ways is:

$P{x}_{w,y,z} = \frac{x!}{w!y!z!}$

In this problem, we have that:

A set of 27 divided into sets of 7,6,2,7,5. So

$P{27}_{7,6,2,7,5} = \frac{27!}{7!6!2!7!5!} = 2,480,721,300,000,00$

There are 2,480,721,300,000,00 ways to paint this set.

3 0

3 years ago