Answer:
Step-by-step explanation:
we know that
DGH ~ DEF ---> given problem
Remember that
If two triangles are similar, then the rtio of its corresponding sides is proportional and its corresponding angles are congruent
so
substitute the given values
Answer:
Step-by-step explanation: 800/x=100/17
(800/x)*x=(100/17)*x - we multiply both sides of the equation by x
800=5.88235294118*x - we divide both sides of the equation by (5.88235294118) to get x
800/5.88235294118=x
136=x
x=136
83% of 800=664
Answer:mick share is £4 while Sharon share is £8
Step-by-step explanation:
Money to be shared=£12
Mick : sharon=2:4
Sum of ratio=2+4=6
Mick share=2/6 x 12
Mick share=(2x12)/6
Mick share=24/6
Mick share=4
Sharon share=4/6 x 12
Sharon share=(4x12)/6
Sharon share=48/6
Sharon share=48/6
Sharon share=8
Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
Answer:
44cm
Step-by-step explanation:
Formula for circumference, C = 2πr
where r is the radius
r = C / 2π
= 
=44 cm
