Answer:
183 miles to the nearest mile.
Step-by-step explanation:
Distance =Speed X Time
Distance of Truck B from point A=45 X2 =90 miles
Distance of Truck C from point A=55 X2 =110 miles
Angles between them, BAC=132°
We want to find the Distance BC denoted by a between the trucks.
Using Cosine Rule,
a²=b²+c²-2bcCos A
=90²+110²-(2X90X110XCos132°)
=33448.79
a=√33448.79
BC=182.89 miles
The distance between the trucks is 183 miles to the nearest mile.
Answer:
y = -6
x = 1
Step-by-step explanation:
-x + 2y = -13
-x - 2y = 11
Sum the equations:
-x -x = -2x
+2y - 2y = 0
-13 + 11 = -2
then
-2x = -2
x = -2/-2
x = 1
from the first eq.
-x + 2y = -13
-1 + 2y = -13
2y = -13 + 1
2y = -12
y = -12/2
y = -6
check:
from the second eq.
-x -2y = 11
-1 -(2*-6) = 11
-1 -(-12) = 11
-1 + 12 = 11
Yes D is the correct option !
if you want to know how , comment, or you are good to go !
If you divide each number, 6:9, by 3 you will get the simpliest form. My answer will have to be B. 2:3
Answer:
Step-by-step explanation:
Find the last term of the sequence.
a1 = 8
d = -7
n = 30
a30 = 8 + (n - 1)*(-7)
a30 = 8 + (30 - 1)*-7
a30 = 8 + 29*-7
a30 = 8 - 203
a30 = -195
Sum = (a + L)*n/2
Sum = (8 + -195) * 30/2
Sum = - 187 * 15
Sum = - 2805
