Answer: smaller number is 10 and the bigger number is 65
Step-by-step explanation:
Supplementary angles.
Supplementary angles are two angles that add up to 180 degrees.
Answer:
58 square units
Step-by-step explanation:
Take the shaded figure as a full larger rectangle minus the rectangular part which is not shaded.
Area of the full larger rectangle:
Area = length × width
Length = |12 - 2| = 10 units
Width = |8 - 1| = 7 units
Area = 10 × 7 = 70 units²
Area of the unshaded small rectangle:
Length = |10 - 4| = 6 units
Width = |3 - 1| = 2 units
Area = 6 × 2 = 12 units²
Area of the shaded figure = 70 - 12 = 58 square units
Answer:
Step-by-step explanation:
21)
The sine rule is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Therefore,
12/Sin 64 = x/Sin 12
Cross multiplying, it becomes
xSin 64 = 12Sin12
xSin 64 = 12 × 0.209
0.8988x = 2.508
x = 2.508/0.8988
x = 2.79
The sum of the angles in a triangle is 180 degrees. Therefore, the unknown angle in triangle is
180 - (64 + 12) = 104 degrees. Therefore,
y/Sin104 = 12/Sin64
ySin64 = 12Sin104
0.8988y = 12 × 0.9703 = 11.6436
y = 11.6436/0.8988
y = 12.95
22) we would apply the law of Cosines which is expressed as
a² = b² + c² - 2bcCosA
Therefore,
28² = 20² + 24² - 2 × 20 × 24Cosx
784 = 400 + 576 - 960Cosx
784 = 976 - 960Cosx
960Cosx = 976 - 784 = 192
Cosx = 192/960 = 0.2
x = Cos^(-1)0.2
x = 78.5°
Given situation: There were 548 films released in 2011. Rated PG were approximately 8.75% of the released movie.
Question: Find how many PG movies were released in 2011. PG means Parental guidance.
Solution,
=> 8.75% = 8.75 / 100 = 0.0875
=> Now, let’s multiply this decimal number to the total number of films released.
=> 548 * 0.0875
=> 47.95. Round off to 50.
Thus, there were approximately 50 films released that were Rated PG.