Answer:148
Step-by-step explanation:
125g x 8 = 1000g
18.5x8=148
Factorize the left hand side and equate the factors to zero.
Then, use the notation that : sec x = 1/cosx and csc x = 1/sinx
Result: x = ± π3 + 2πk , k∈Z
Answer:
To the nearest tenth of a degree
∠E= 47.9°
Step-by-step explanation:
ΔDEF , let's recognize that it's a right angle triangle because of the presence of ∠F=90°.
Other important measurements are
DE = 82 feet, and EF = 55 feet.
We are to find ∠E
Let's find the missing side first
Side DF
DF² = DE² - EF²
DF²= 82²_55²
DF²=6724-3025
DF²= 3699
DF= 60.82 feet
Let's use the sine formula to look for the angle.
DF/sin ∠E= DE/sin 90
Sin 90= 1
DE= 82
DF= 60.82
Sin ∠E= DF/DE
Sin ∠E= 60.82/82
Sin ∠E= 0.7417
∠E= sin^-1 (0.7417)
∠E= 47.8764
To the nearest tenth of a degree
= 47.9°
