Answer:
Step-by-step explanation:
In 
O, ST and VT are tangents at points S and V respectively.
In quadrilateral OSTV,
(By interior angle sum postulate of a quadrilateral)
(Measure of minor arc is equal to measure of its corresponding central angle)
(By arc sum property of a circle)
Answer:12
Step-by-step explanation:
Answer:
The answer to your question is Triangle's area = 520 in², Square's area = 576 in²
Step-by-step explanation:
Process
1.- Calculate the area of the triangle
-Find the length of the base using the Pythagorean theorem
c² = a² + b²
-Solve for b²
b² = c² - a²
-Substitution
b² = 37² - 35²
-Simplification
b² = 1369 - 1225
b² = 144
b = 12 in
-Find the base
base = 2(12) = 24 in
-Find the area of the triangle
Area = base x height / 2
-Substitution
Area = 24 x 35 / 2
-Simplification
Area = 420 in²
2.- Find the area of the square
Area = side x side
-Substitution
Area = 24 x 24
-Result
Area = 576 in²
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!
