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4 years ago

The measures of the ángeles of a triangle are in the ratio 5:6:7. clássify the triangle

1 answer:

3 0

From experience this is an acute triangle. to prove it you would have to use the Law of Cosines to prove each angle is acute.
Each angle would follow the formula:
Angle A = ArcCos((b^2+c^2-a^2)/(2bc))
A = 44.4 degrees
B = 57.1 degrees
C = 90 - A - B = 78.5 degrees

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Which describes the behavior of the function f(x)= tan^-1(x)?

Fantom [35]

Answer:

Third Option

Step-by-step explanation:

We know that the function $tan(x)$ is defined as $y=\frac{sin(x)}{cos(x)}$ . Since the denominator is $cos(x)$ then we know that $cos(x)=0$ when $x=\frac{\pi}{2}$

We also know that the division by 0 is not defined. Therefore, the limit of $y=tan(x)$ when "x" tends to $\frac{\pi}{2}$ is infinite.

The function $tan^{-1}(x)$ is the inverse of $tan(x)$

By definition, if we have a function f(x), its domain will be equal to the range of its inverse function $f^{-1}(x)$ . If $f(3)=8$ , then $f^{-1}(8)=3$

This also happens for the function $tan^{-1}(x)$

If when $x \to \frac{\pi}{2}, tan(x) \to \infty$ then when $x \to \infty, tan^{-1}x \to \frac{\pi}{2}$

Then, the answer is:

$x \to \infty, f(x) \to \frac{\pi}{2}$

7 0

3 years ago

Rewrite 7 − 8 using the additive inverse and display the new expression on a number line

Vilka [71]

When we do the additive inverse property...we want to end up with a 0...so the inverse of 7 is -7 and the inverse of -8 is +8....we now have our new expression

-7 + 8

-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

6 0

3 years ago

What is 62.5 percent of 24

elena-s [515]

It's 15 m8 m8 m8 15 so yah.

3 0

4 years ago

Read 2 more answers

Which are partial products for 68 × 43?

Ksivusya [100]

D.600 TINEE 40 =24,000

3 0

3 years ago

F(1) = 1 f(2) = 2 f(n) = f(n − 2) + f(n − 1) f(3)

sweet [91]

Answer:

f(3) = 3

Step-by-step explanation:

f(1) = 1

f(2) = 2

f(n) = f(n − 2) + f(n − 1)

f(3) = f(3 - 2) + f(3 - 1)

= f(1) + f(2) = 1 + 2 = 3

Special Note: Have you heard of the Fibonacci sequence?

The formula f(n) = f(n − 2) + f(n − 1) is used to find the terms of the of the Fibonacci sequence

8 0

3 years ago