Answer:
The measure of angle N is 55°
Step-by-step explanation:
we know that
the law of cosines established
a² = b² + c² – 2*b*c*cos(A)
so
In this problem we have
a=ML=5.74 units
b=LN=4 units
c=MN=7 units
∠A=∠N=?
see the attached figure to better understand the problem
a² = b² + c² – 2*b*c*cos(A)------> cos (A)=[b²+c²-a²]/[2*b*c]
cos (A)=[4²+7²-5.74²]/[2*4*7]------> 0.57236
A=arc cos (0.57236)--------> A= 55°
therefore
The measure of angle N is 55°
Answer:
y=2/5x+4 Answer: A)
Step-by-step explanation:
Answer:
15,420 cm
Step-by-step explanation:
Given the actual distance between the library and train station to be 500 ft, to find the distance between them in centimeters, we ill convert 500 ft to cm as shown;
Given the conversion:
1 ft = 30.48cm
500ft = x cm
Cross multiply
x cm * 1ft= 30.48 cm * 500ft
x cm = 30.48 cm * 500ft/1ft
x cm = 15,240 cm
Hence the distance between them in centimeters on the map is 15,420 cm
Attached you'll find the region of interest, which is captured by the set of points
<em>R</em> = {(<em>x</em>, <em>y</em>) | √(<em>y</em>/2) ≤ <em>x</em> ≤ (4 - <em>y</em>)/2 and 0 ≤ <em>y</em> ≤ 2}
Written in this way, it's convenient to integrate with the order d<em>x</em> d<em>y</em> (that is, with respect to <em>x</em> first). In particular, we have
Say you have 7/2 as your improper fraction. How many times does 2 go into 7? 3 Times with one left over. Your answer would be
3 1/2
