Your answer would be 6cm by 48cm because if your ratio is 1:8 your second number would be eight times the cm of your first number. 6*8=48
Answer:
-5/2+-1/2√37≤x≤-5/2+1/2√37
Step-by-step explanation:
Step 1: Find the critical points
-x^2-5x+3=0
For this equation: a=-1, b=-5, c=3
−1x^2+−5x+3=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(3)/2(-1)
x=5±√37
/−2
x=-5/2+1/2√37
Step 2: Check intervals in between critical points
x≤-5/2+1/2 √37 (Doesn't work in original inequality)
-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)
x≥-5/2+1/2 √37 (Doesn't work in original inequality)
The distance of the bird from the ground will be given by:
tan θ=opposite/adjacent
θ=50°
opposite=h
adjacent=12 ft
plugging in the values in the formula we get:
tan 50=h/12
thus
h=12tan50
h=14.301 ft
=14.3 ft
Answer:
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify.
Exact Form: a
=
6,
2
3
Decimal Form:
a
=
6
,
0.
¯
6
Answer:
t = 6 km/hour
And, J would be 4 km per hour
Step-by-step explanation:
Let us assume the speed of Tom be T
And, the Speed of Jim be J
Given that
T - J = 2 km /hr ...........(i)
After 3 hours distance between them = 30 km
As they are walking in the opposite direction
Thus,
Net speed =T + J
L ÷ (T+J) = 3
30 ÷ (T+J) = 3
T +J =10 ..............(2)
After solving these two equations
2T = 12
t = 6 km/hour
And, J would be 4 km per hour
