Answer:
175°
Step-by-step explanation:
Bearing angles are usually measured clockwise from North. Reverse bearing angles differ from forward bearing angles by 180°. These relations and the usual angle sum relation for a triangle can be used to solve this problem.
Angle PQR will be the difference in the bearings from Q to P and Q to R:
∠PQR = 124° -46° = 78°
Triangle PQR is isosceles, so the base angle at P will be ...
∠QPR = (180° -78°)/2 = 51°
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The bearing from P to R will be 51° less than the bearing from P to Q. The bearing from P to Q is 180° more than the bearing from Q to P.
PR bearing = PQ bearing - ∠QPR
= PQ bearing - 51°
= (46° +180°) -51° = 175°
The bearing of R from P is 175°.
Answer:
Step-by-step explanation:
f(x) = -8x + 20
f(-1) = -8* -1 + 20 = 8+20 =28
5 - 2[f(-1)] = 5 - 2*28 = 5 - 56 = -51
Answer:
Design 3: An SRS of size 3000 from a population of size 300,000,000
Step-by-step explanation:
To check the SRS designs will give the most precision (smallest standard error) for estimating a population mean, we'll make use of the following formula:
V(y) = S²/n( 1 - n/N)
Where S² is a constant for the three SRS designs
Check the first design
n = 400
N = 4000
So, V(y) = S²/400 (1 - 400/4000)
V(y) = S²/400(1 - 0.1)
V(y) = 0.0025S²(0.9)
V(y) = 0.00225S²
V(y) = 2.25S²E-3
The second design
n = 30
N = 300
So, V(y) = S²/30 (1 - 30/300)
V(y) = S²/30(1 - 0.1)
V(y) = S²/30(0.9)
V(y) = 0.03S²
V(y) = 3S²E-2
The third design
n = 3,000
N = 300,000,000
So, V(y) = S²/3,000 (1 - 3,000/300,000,000)
V(y) = S²/3,000(1 - 0.00001)
V(y) = S²/3,000(0.99999)
V(y) = 0.00033333
V(y) = 3.33S²E-4
Answer:
5y = 5
Step-by-step explanation:
When the second equation is multiplied by -2, it becomes ...
-2(x -2y) = -2(-1)
-2x +4y = 2
Adding this to the first equation gives ...
(2x +y) +(-2x +4y) = (3) +(2)
2x +y -2x +4y = 5 . . . . . . . . . eliminate parentheses
5y = 5 . . . . . . . . . . . . . . . . . . .collect terms
Step-by-step explanation:
A. 3n = 33
n = 33/ 3 = 11
B. 9 + w = 10
w = 10 - 9 = 1
C. r - 15 = 30
r = 30 + 15 = 45
D. 2y + 3 = 11
2y = 11 - 3
2y = 9
Y = 9/2