The perimeter of a

Mathematics

2 answers:

ValentinkaMS [17]2 years ago

5 0

Answer:

i have made it above picture see it

Anna71 [15]2 years ago

4 0

Answer: 3

Step-by-step explanation:

Since 6 + 6 is 12 so 3 + 3 is 6 and 12 + 6 is 18 and you multiply each side by two

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If x is a positive acute angle and cos x = 3/5, find the value of sinx.

Dima020 [189]

X is a positive acute angle. That means x is located in the first quadrant and has positive value in sin, cos, tan.

The formula of trigonometry ratio
cos x = $\dfrac{\text{adjacent}}{\text{hypotenuse}}$
sin x = $\dfrac{\text{opposite}}{\text{hypotenuse}}$

From the formula of cosine
cos x = $\dfrac{3}{5}$
$\dfrac{\text{adjacent}}{\text{hypotenuse}}= \dfrac{3}{5}$
from the formula above, adjacent side is 3 units, and hypotenuse is 5 units

Draw a right triangle to illustrate the location of the sides. See image attached.

To find the ratio of sine, we need to find the length of opposite side using pythagorean theorem
3² + (opposite)² = 5²
9 + (opposite)² = 25
(opposite)² = 25 - 9
(opposite)² = 16
opposite = 4
The length of opposite side is 4 units

Find sin x
sin x = $\dfrac{\text{opposite}}{\text{hypotenuse}}$
sin x = $\dfrac{4}{5}$