4b-3 .. you use distributive property and multiply 3*b-1 then you have 7b-3b-3 then you combine like terms and subtract 3b from 7b and get 4b-3
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian
Hope it helped!
Answer:
Step-by-step explanation:
56.27 =
50
+ 6
+ 0.2
+ 0.07
Expanded Factors Form:
56.27 =
5 × 10
+ 6 × 1
+ 2 × 0.1
+ 7 × 0.01
Expanded Exponential Form:
56.27 =
5 × 101
+ 6 × 100
+ 2 × 10-1
+ 7 × 10-2
Word Form:
56.27 =
fifty-six and twenty-seven hundredths
Answer:
5P= 2P+21+45 ( sum of two sides is is equal to
the opposite exterior angle)
5P=2P +61
5P-2P=61
3P=61
p= 61÷3
p=2.33333
IF BREADTH=b meters
THEN LENGTH=4 meter less than 3 times than the breadth of the hall.
LENGTH=3b-4 meters
the length of the rectangular hall is=3b-4 meters
