Answer:
60.2 m
Step-by-step explanation:
Let x represent the width of the river. The distance from the point across from the tree to the second point is 15 m. The angle from this point to the tree across the river is 76°.
This makes the side opposite the angle x, the width of the river. It also means the 15 m side is adjacent to this angle.
The ratio opposite/adjacent is the ratio for tangent; this gives us the equation
x/15 = tan(76)
Multiply both sides by 15:
15(x/15) = 15(tan(76))
x = 15(tan(76)) ≈ 60.2
Answer:
If the first die is a 5, the second must be 5 or more in order to have a sum of at least ten.
Assuming it is a six sided die, the two values that would make this true are 5 and 6.
2 values/6 possible would be a probability of 2/6, which simplifies to 1/3
Final answer: 1/3
Step-by-step explanation:
f(-3) would be 36.
When looking at synthetic division, the numbers across the top represent the coefficients of x^2, x and the constant in that order. Therefore, the equation is as follows.
2x^2 - 5x + 3
Now we can put -3 into the equation and solve.
2(-3)^2 - 5(-3) + 3
2(9) + 15 + 3
18 + 15 + 3
36
Answer: 55 degrees
Step-by-step explanation:
180-125=55
125 and m make a half a turn which equals 180
The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)
The scale factor k can be obtained from any one of the ratios:
