Answer:
C = 25
a = 10.72
b = 11.83
Step-by-step explanation:
The easiest thing to solve for right now is C- all angles in a triangle add up to 180 degrees. So we can subtract 65 and 90 from 180 to get the measure of angle C, 25 degrees.
Then we can use trigonometric functions: SOH CAH TOA
sinC = opposite / hypotenuse
sin25 = 5 /hyp
5/sin25 = hyp
hyp (aka b) = 11.83
cosC = adjacent / hypotenus
cos25 = a/11.83
11.83*cos25 = a
a = 10.72
C = 25
a = 10.72
b = 11.83
Answer:
A , D
Step-by-step explanation:
hello :
b= √18 because : (√18)² =18
b= - √18 because : (-√18)² =18
Answer:
5 cm
Step-by-step explanation:
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.
Distance = D
Weight = W
Hence:
D ∝ W
D = kW
Where k is constant of proportionality
Step 1
We solve for k
If a spring stretches 2 cm when a 30 gram weight is hung from it.
2 = 30k
k = 2/30
k = 1/15
Step 2
how far will it stretch when a 75 gram weight is hung from the spring?
D = kW
We are solving for D
k = 1/15
D = 1/15 × 75
D = 5 cm
The spring would stretch 5cm with a weight of 75 gram.
The two x-values to your equation is
x=2 and x=-0.5
Answer:
B
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply each of the coordinates by 4 , that is
A (0, 10 ) → A' (4(0), 4(10) ) → A' (0, 40 )
B (8, 6 ) → B' (4(8), 4(6) ) → B' (32, 24 )
C (4, 2 ) → C' (4(4), 4(2) ) → C' (16, 8 )
