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3 years ago

If two sides of a triangle measure 5 and 12 the length of the third side could be

Mathematics

1 answer:

Artemon [7]3 years ago

3 0

A) 5

Two sides of a triangle have to be the same size. IF we aren't talking about a scalene.

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Find the cos A and tan B to four decimal places. URGENT

Nikolay [14]

cos A is 0.8511 and tan B is 1.6

Step-by-step explanation:

Find the 3rd length or the hypotenuse.

Pythagoras theorem

$hypotenuse^{2}$ = $adjacent^{2}$ + $opposite^{2}$

$hypotenuse^{2}$ = $8^{2}$ + $5^{2}$

$hypotenuse^{2}$ = 64 + 25

hypotenuse = $\sqrt{89}$

hypotenuse = 9.4

a) Cos A

Data:

Adjacent = 8

Hypotenuse = 9.4

Formula:

Cos (Angle) = $\frac{adjacent}{hypotenuse}$

Cos A = $\frac{8}{9.4}$

Cos A = 0.8511

A = $cos^{-1}$ (0.8511)

A = 31.7°

b) Tan B

Data:

Opposite = 8

Adjacent = 5

Formula:

Tan (Angle) = $\frac{opposite}{adjacent}$

Tan B = $\frac{8}{5}$

Tan B = 1.6

B = $cos^{-1}$ (1.6)

B = 58°

Therefore, cos A is 0.8511 and tan B is 1.6.

Keyword: cos, tan

Learn more about cos at

#LearnwithBrainly

3 0

3 years ago

Check this please I need grade

Elden [556K]

All good and for number 6 you should draw an acute angle

3 0

3 years ago

What is the inverse of the function f(x) = 2x + 1? h(x) = 1/2x - 1/2

sweet-ann [11.9K]

Answer:

h(x) = x/2 - 1/2

Step-by-step explanation:

Here's the procedure for finding the inverse function algebraically:

1. Replace the label 'f(x)' with the label 'y:' y = 2x + 1

2. Interchange x and y: x = 2y + 1

3. Solve the resulting equation for y: 2y = x - 1, or y = (1/2)(x - 1) or y = x/2 - 1/2

This result corresponds to the 1st given possible answer choice.

The desired inverse function is h(x) = x/2 - 1/2

3 0

3 years ago