From Pythagoras --> 10^2 + 12^2 = 244
from corner to corner it is root244 or about 15.6 feet
1. D. because the angels of KRC and CRH added together is 180 degrees. Which equals a straight line.
2. Answer is A . BHR is equal to NHD, so it is 8x. But we need to find x first.
The right angle in the picture is 8x + (9x +5)
90 =8x + 9x +5
90 = 17x + 5
85 = 17 x
5 = x.
X is 5 so 8x is 40.
3. B. The opposite angles are equal to each other. and the sum of two angles side by side equal 180.
6x - 82 = 3x +23
group like terms
6x - 3x = 23 + 82
3x = 105
x = 35.
Answer is B
4.B. a complement angle added together will get you 90.
90 - 41 = 49
Answer is B
Answer:
Option C - 52 mph
Step-by-step explanation:
I've attached an image to depict the diagram of movement of both cars.
dy/dt = 50 mph
dx/dt = 20 mph
From the attached image, using pythagoras theorem, we have;
x² + y² = s²
Differentiating with respect to to using implicit differentiation with power rule, we have;
2x(dx/dt) + 2y(dy/dt) = 2s(ds/dt) - - (eq1)
Now, let's find s by pythagoras theorem.
s² = 0.375² + 0.5²
s² = 0.390625
s = √0.390625
s = 0.625
Plugging in all the relevant values into eq 1,we have;
2×0.375(20) + 2×0.5(50) = 2×0.625(ds/dt)
15 + 50 = 1.25(ds/dt)
65 = 1.25(ds/dt)
ds/dt = 65/1.25
ds/dt = 52 mph