1.-7/4
2.1/7
3.-5/3
4.1/2
5.neither a parallelogram nor a trapezoid
6.neither pair of opposite sides is parallel
hope this help any one who need the answer <span />
Answer:
32.7°
Step-by-step explanation:
Use the formula for law of cosines, for this question we need so solve for angle B, so use...
b² = a² + c² - 2(a)(c)Cos B
We are given a, b, and c, so plug them in...
55² = 90² + 50² - 2(90)(50)Cos B
Now simplify...
3,025 = 8100 + 2500 - (9000)Cos B
-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)
0.841666667 = Cos B (divide both sides by -9000)
Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)
32.68346376° = B
32.7° = B
To determine the time it will take for the diver to reach the water below, we derive the equation such that t will be our unknown and that will be,
t = √(d/4.9)
Substituting the known values,
t = √(70 m / 4.9) = 3.78 s
Therefore, it will take the diver approximately 3.78 seconds to reach the water below.
Answer:
y = 3/2(x)+8
Step-by-step explanation:
We can find the equation of the line by first finding the slope and the y-intercept. Then we can write the equation in slope-intercept for which is
y = mx+b where m is the slope and b is the y-intercept.
We are given two points (0,8) and (-8,-4). (0,8) is the y intercept which is the value of b. Since we have found the y-intercept, all we need to do now is find the slope given these two points.
m = (y2-y1)/(x2-x1)
m = (-4-8)/(-8-0)
m = (-12)/(-8)
m = 12/8
m = 3/2
So, the equation is y = 3/2(x)+8 and has been fully reduced.
5 • 3 + 8 divided by 2
15 + 4
= 11
11 is the value of this expression.