Answer:
Marie drives for 3 hours.
Step-by-step explanation:
Equation d = rx
d = distance traveled
r = rate of speed
x = # of hours driven
35x = 105
x = 105 / 35
x = 3
Marie drives for 3 hours.
Whatever the geometric shape, I don't even need to know the shapes of the items involved.
If all linear dimensions are 6 times smaller, then all volumes will be 216 times smaller <span>a scale model
</span>
the answer is 6^3 = 216 times smaller
Since this is a 30-60-90 right triangle, we know that the sides exist in the proportion 1:3‾√
:2. The shortest side, 1, is opposite the 30 degree angle. Since side X is opposite the 60 degree angle, we know that it is equal to 1∗3‾√
Or about 1.73. Finally, side Y is opposite the right angle, and it is twice the shortest side, or 2.
Answer:
<h3>-6</h3>
Step-by-step explanation:
Let the slope of the first line be m1
Let the slope of the second line be m2
If both lines are perpendicular, then;
m1m2 = -1
Get m1, the slope of the line passing through A (-2, 0) and B (2,-k).
m1 = y2-y1/x2-x1
m1 = -k-0/2-(-2)
m1 = -k/4
Get the slope of the line 3y + 2x = 5
Rewrite the equation;
3y = -2x + 5
y = -2/3 x + 5/3
Hence the slope of the line m2 is -2/3
Since m1m2 = -1, then;
-k/4(-2/3) = -1
2k/12 = -1
k/6 = -1
k = -6
Hence the value of k is -6