Answer:
The point C is 12.68 km away from the point A on a bearing of S23.23°W.
Step-by-step explanation:
Given that AB is 50 km and BC is 40 km as shown in the figure.
From the figure, the length of x-component of AC = |AB sin 80° - BC cos 20°|
=|50 sin 80° - 40 cos 20°|=11.65 km
The length of y-component of AC = |AB cos 80° - BC sin 20°|
=|50 cos 80° - 40 sin 20°|= 5 km
tan
= 5/11.65
=23.23°
AC= 
km
Hence, the point C is 12.68 km away from the point A on a bearing of S23.23°W.
Answer:
y - 1 = - 4(x + 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 4 and (a, b) = (- 3, 1), hence
y - 1 = - 4(x - (- 3)), thus
y - 1 = - 4(x + 3) ← in point- slope form
Answer:
-29
Step-by-step explanation:
(-4 + -3) x 2^2 - 1
follow order of operations PEMDAS
Parentheses:
(-4 + -3) x 2^2 - 1
(-7) x 2^2 -1
exponents:
(-7) x 4 - 1
multiplication
-28 - 1
subtraction
-29
Robin has to go shopping for her brother's birthday.
She already bought "x" presents for him.
The next day, Robin bought "2" more presents for him just in time for his birthday.
When she got home and celebrated his birthday, her beother opened, in total, "9" presents.
--- What is the number of presents that Robin had originally purchased? ---
Answer:
0.6170
Step-by-step explanation:
Given that a manufacturing process is designed to produce bolts with a 0.25-in. diameter.
i.e. no of bolts which are produced as per standard is X means then
X is normal with mean = 0.250 and std dev = 0.04
No of bolts tested = 36
If this mean falls outside the interval (0.230,0.270) the production would be shut down.
i.e. P(|x-25|>0.20) =production shut down probability
