Answer:
Step-by-step explanation:
WeknowthatsinceABCisarightangledtriangle,
AB2+BC2=AC2
82+152=AC2
64+225=AC2
AC2=289
AC=289−−−√=17
Hypotenuse=17cm
Look at deonomators
assuming that the deonomenators are 5x+15y and 2x+6y
find their LCM
factor
5x+15y=5(x+3y)
2x+6y=2(x+3y)
LCM=10(x+3y)=10x+30y
multiply 2/(5x+15y) by 2/2=4/(10x+30y)
multiply 1/(2x+6y) by 5/5=5/(10x+30y)
if we add them
9/(10x+30y)
Answer: The answer is 1, 2
Step-by-step explanation:
Answer:
4 servings : 2 potatoes and 4 celery sticks. Find the number of potatoes and celery sticks in 6 servings. 6/4 = 1.50 2 potatoes x 1.50 = 3 potatoes 4 celery sticks x 1.50 = 6 celery sticks 6 servings of stew has 3 potatoes and 6 celery sticks. Other way of computing for the 6 servings is getting the number of potatoes and celery sticks per serving.
Step-by-step explanation:
Answer:
a) 240°
b) 30°
c) 225°
Step-by-step explanation:
To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of <em>sin</em> is <em>arcsin</em>, and the inverse of <em>tan </em>is <em>arctan. </em>Instead of giving an angle, what is its sine?, the question is: given a sine, what is the angle?.
a)
sin(θ) = -√3/2
θ = arcsin(-√3/2)
θ = -60°
Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).
b)
tan(θ) = 1/√3
θ = arctan(1/√3)
θ = 30°
c)
csc means cosecant, by definition:
csc(θ) = 1/sin(θ)
csc(θ) = -√2
1/sin(θ) = -√2
sin(θ) = -1/√2
θ = arcsin(-1/√2)
θ = -45° or 360-45 = 315° or 180+45 = 225°
