Answer:
32 ft²
Step-by-step explanation:
Given the right angle and equal sides, we have a square. The diagonal is the hypotenuse of a right triangle, so we can use the Pythagorean Theorem to calculate the side lengths, or realize that the side lengths Squared will be the area of the square.
c² = a²+b² Since a² equals b², the equation becomes c² = 2a²
8² = 2a²
64/2 = a²
32 = a², the area of the square.
The side lengths of the square are √32
about 5.657 feet. If we square that square root, we get the area of the square, 32 square feet.
Step-by-step explanation:
The cosine function, along with sine and tangent, is one of the three most common trigonometric functions. In any right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H). In a formula, it is written simply as 'cos'.
In any right angled triangle, for any angle:
The sine of the angle = the length of the opposite side
the length of the hypotenuse
The cosine of the angle = the length of the adjacent side
the length of the hypotenuse
The tangent of the angle = the length of the opposite side
the length of the adjacent side
So in shorthand notation:
sin = o/h cos = a/h tan = o/a
Often remembered by: soh cah toa
For this case we have that by definition:
So:
We apply distributive property that states that:
In addition, we take into account that:
Answer:
Option B
Answer:
Step-by-step explanation:
4x = 38
x= 38/ 4
x = 9 1/2
Answer:
148°
Step-by-step explanation:
it is very close to the 150 line and the option closest to 150 is 148
