Answer:
x≈47.4
Step-by-step explanation:
Use sine, since the triangle is a right triangle and doesn't have any special properties.
sin28=x/101
101*sin28=x
solving this, you get that x≈47.4.
We make a drawing to find the relationship between the angle and the sides
given
dh/dt=4m/sec
we get
tan(x)=h/40
where x is the angle and h is the height
take the derivitive of both sides
1/cos²(x)(x)dx/dt=
1/cos²(x)dx/dt=
1/cos²(x)dx/dt=
solve for dx/dt
times both sides by cos²(x)
dx/dt=
remember that dh/dt=4
also, solve for the angle at that time
h=40 and base=40 so x=45 degrees (pi/4 radians)
input that
dx/dt=
dx/dt=
dx/dt=0.05
A is the answer
Answer:
18
Step-by-step explanation:
8 3/4 + 9 2/8
We can simplify 2/8 by dividing the top and bottom by 2
8 3/4 + 9 1/4
Add the whole numbers
8+9 = 17
3/4 + 1/4 = 4/4 = 1
Add this to the whole numbers
17+1 = 18
1000 kilograms
Hope this helps