C is the answer because a number of children are unknown.
Answer:
Step-by-step explanation:
v = {[(20sin36°)i + (20cos36°)j] + 10i} mi/h
vE = 20sin36º + 10 = 21.76 mi/h
vN = 20cos36° = 16.18 mi/h
v = √(vE2 + vN2) = √(21.762 + 16.182) mi/h = 27.12 mi/h
θ = tan-1(vN/vE) = tan-1(16.18/21.76) = 36.6º north of east
Answer:

Step-by-step explanation:
<u><em>The complete question is</em></u>
Given the quadrilateral is a rectangle, if LO = 15x+19 and QN = 10x+2 find PN
see the attached figure to better understand the problem
we know that
The diagonals of a rectangle are congruent and bisect each other
so

substitute the given values

solve for x

Find the length of PN
Remember that
----> diagonals of rectangle are congruent

substitute the value of x

therefore

Answer:
5 feet
Step-by-step explanation:
The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation,

where y is the height above water and x is the horizontal distance in feet.
If a beam of light is shone upward at an angle modeled by the equation

A beam of light hit the dolphin.
So, line must be intersect path of dolphin.
Using substation method,
Substitute y=10-x into dolphin equation.





Hence, The beam hit dolphin at 5 feet.
Answer:
<em>A) The reference angle should be </em><u><em>
,</em></u><em> and the sign of the value should be </em><u><em>negative.</em></u>
Step-by-step explanation:
cos(
)
Remove full rotations of 2π until the angle is between 0 and 2
.
cos(
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.
-cos(
)
The exact value of cos(
) is
.
−