Since this is a right triangle, a triangle with a 90 degree-angle, we can use the trigonometric functions. An example would be the sine function. With respect to the angle, it has the opposite side (o), the adjacent side (a), and the longest side called hypotenuse (h). For the sine function, it would be sine theta = opposite/hypotenuse. Using this relationship,
sin 38 = BC/5
BC = 5*sin38
BC = 3.08 units
Answer:
y = x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = , hence
y = x + c ← is the partial equation
To find c substitute (- 10, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = x + 8
Answer:
Step-by-step explanation:
Final result :
2n
——
5
Step by step solution :
Step 1 :
Equation at the end of step 1 :
Step 2 :
Equation at the end of step 2 :
Step 3 :
Equation at the end of step 3 :
Step 4 :
6n3 - 16n2
Simplify ——————————
15n2 - 40n
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
6n3 - 16n2 = 2n2 • (3n - 8)
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
15n2 - 40n = 5n • (3n - 8)
Canceling Out :
6.2 Cancel out (3n - 8) which appears on both sides of the fraction line.
Dividing exponential expressions :
6.3 n2 divided by n1 = n(2 - 1) = n1 = n
Final result :
2n
——
5
Answer:
448=h
Step-by-step explanation:
512 - h = 16 x 2²
512 - h = 16 x 4
512 -h = 64
then subtract 512 from both sides
-h = -448
two negatives equal a positive
h=448
Answer:
The value of the limit is 12.
Step-by-step explanation:
Small typing mistake, the limit is of h tending to 0.
Then
Calling the limit L
h is the common term in the numerator, then
Simplifying by h
Since h tends to 0.