Answer:
30100-2150x and it would take 14 minutes to reach the ground.
Step-by-step explanation:
30100 feet is out starting y coordinate, and since 2150 is always changing depending on the amount of time we multiple it by x (the amount of minutes) therefor we can create the equation 30100-2150x and when we plus in 14 the equation would equal 0
Answer:
The volume of the cone is 25.13, the other one is 167.55
Step-by-step explanation:
v = 1/3pi(2)^2(6)
simplify and divide the above.
v = 25.13
1/3pi(4)^2(10)
= 167.55
Answer:
m∠x = 10°
Step-by-step explanation:
Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.
"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.
The ratios are:
sinθ = opposite/hypotenuse
cosθ = adjacent/hypotenuse
tanθ = opposite/adjacent
θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.
In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.
sinθ = opposite/hypotenuse
sinx = CB/AB Substitute the labels in the diagram
sinx = 4/23 Substitute known values (side lengths)
x = sin⁻¹(4/23) Isolate 'x'. Use calculator to solve.
x = 10.015....° Exact answer
x ≈ 10° Round to the nearest degree
Therefore the measure of angle x (m∠x) is 10°.
Answer:
The coordinates of the point is (5.5, -2)
Step-by-step explanation:
Okay, what we want to do here is to get the point that divides the line that joins the points (3,3) to (7,-5) in the ratio 5 to 3
Generally, given the ratio a:b and we want to divide the line joining the points (x1,y1) and (x2,y2) in that ratio, we use the condensed formula below;
Let’s call the point dividing the line in the given ratio z.
The coordinates of Z is;
{(bx1 + ax2)/(a+b), (by1 + ay2)/(a+b)}
In this question (x1,y1) = (3,3)
While (x2,y2) = (7,-5)
while a:b = 5:3
Substituting these values into the coordinate equation for point z, we have ;
{((3(3) + 5(7))/(5+3), ((3)(3) + 5(-5))/(5+3)}
= {44/8 , -16/8} = {5.5, -2}
Answer:
Take rabbit across
go back
Take fox across and go back across with rabbit
take carrots across and leave them with fox
go back and get rabbit
Step-by-step explanation:
