Answer:
cos B = 
tan B = 
sin B = 
Step-by-step explanation:
In the right triangle, there are three sides and 2 acute angles
- Hypotenuse ⇒ the opposite side of the right angle
- Leg1 and Leg 2 ⇒ the sides of the right angle
The trigonometry functions of one of the acute angles Ф are
- sin Ф = opposite leg/hypotenuse
- cos Ф = adjacent leg/hypotenuse
- tan Ф = opposite leg/adjacent leg
In Δ ACB
∵ ∠C is the right angle
∴ AB is the hypotenuse
∵ AC is the opposite side of ∠B ⇒ leg1
∵ CB is the adjacent side of ∠B ⇒ leg2
→ By using the ratios above
∴ cos B = 
, tan B = 
, sin B = 
∵ CB = 7, AB = 25, AC = 24
∴ cos B =
∴ tan B =
∴ sin B =
Answer:
-2
Step-by-step explanation:
First, you need to find the equation.
f(x) = -3x + b
Now we need to find the y-intercept.
f(x) = -3x + b
f(-9) = -3(1) + b
-9 = -3 + b
-6 = b
f(x) = -3x - 6
The zero of f means that f(x) = 0
f(0) = -3x - 6
f(6) = -3x
x = -2
Answer:
<u>A. Quadratic, degree 2</u>
Step-by-step explanation:
The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.
Answer:
40 units
Step-by-step explanation:
For a square, all the sides are equal and the interior angles are equal and all equal to 90. Hence;
m<BOJ = 90 degrees
m<BOJ = 4x - 6
Equating both to get x;
4x - 6 = 90
4x = 90+6
4x = 96
x = 96/4
x = 24
Since all the sides are equal, hence BO = JO = 2x-8
JO = 2x - 8
Substitute x = 24 into JO
JO = 2(24) - 8
JO = 48 - 8
JO = 40
Hence the measure of JO is 40 units
