Answer:
14/1.8 = x/4
Step-by-step explanation:
Using similar triangles,
height of man/length of man's shadow = height of tree/length of tree's shadow
1.8/4 = x/14
x/14 = 1.8/4
If we cross-multiply, we have
1.8 × 14 = x × 4
dividing both sides by 4 and 1.8,we have
14/4 = x/1.8
x/1.8 = 14/4
So, the two expressions we have are
x/14 = 1.8/4 and x/1.8 = 14/4.
So, the answer is 14/1.8 = x/4 since the product 1.8 × 14 = x × 4 cannot be expressed in the given ratio.
Answer: 5 Seconds
Step-by-step explanation: Given the equation of the height expressed ad;
h(t) = - 16t^2 + initial height
Given that initial height = 400feet
h(t) = - 16t^2 + 400
The waste will hit the ground at when h(t) = 0
substitute
0 = - 16t^2 + 400
16t^2 = 400
t² = 400/16
t² = 25
t = √25
t = 5secs
Answer:
times you have to remove a red marble
Step-by-step explanation:
8 /30/=3.75
=3.75
Answer:
x=3, y=0.8
Step-by-step explanation:
8x+5y=28
4x+5y=16
Subtract the second simultaneous equation from the first.
You are left with: 4x=12
12/4=3
x=3
Substitute this back into one of the equations.
8(3)+5y=28
8*3=24
28-24=4
4=5y
4/5=0.8
y=0.8
Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6 k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):