Answer:
Q = 40.6°
Explanation:
Given three sides: 9.6, 8.1, 6.3
Use the cosine rule:
c² = a² + b² - 2ab cos(C)
Insert following variables:
6.3² = 9.6² + 8.1² - 2(9.6)(8.1) cos(Q)
39.69 = 157.77 - 155.52 cos(Q)
cos(Q) = -118.08/-155.52
cos(Q) = 41/54
Q = cos⁻¹(41/54) = 40.6°
Answer:
Step-by-step explanation:
We have to remind one of the properties of the limits:
Lim x→a f(x)*g(x) = [Lim x→a f(x)]*[Lim x→a g(x)]
Hence, we evaluate the products of the limits
(a) Lim x→a f(x)*g(x) = 0*0 = 0
(b) Lim x→a f(x)*p(x) = 0*[infinity] = INDETERMINATE
(c) Lim x→a h(x)*p(x) = 1*[infinity] = infinity
(d) Lim x→a p(x)*q(x) = [infinity]*[infinity] = INDETERMINATE
Line y=x has a slope of m=(1/1)=1
The line with slope m=1 passing through (x1,y1)=(2,4) has the equation
(y-y1)=x-x1
=>
y-4=x-2
=>
y=x+2
1) A student will study German for at least 3 years. x≥3
2) All employees work less than 40 hours. x<40
3) There are at least 35 people in the emergency room. x≥35
4) The carton holds at most 12 eggs. x≤12
5) There are no more than 10 gallons of gas in the tanks. x≤10
6) There are fewer than 10 yards of fabric left. x<10
7) The temperature is above 32°F. x>32
8) Years of experience cannot be less than 5 years. x≥5
This is the concept of transformation, ΔHJK=ΔLMN, from the diagram:
∠H=∠L
∠K=∠N
∠M=∠J
In order to map ΔHJK to ΔLMN, we need to translate K to N and rotate about K until HK lies on the same line containing LN.
