Answer:
Step-by-step explanation:
The parameters of the angle θ₁ are;
The location of θ₁ = Quadrant II
cos(θ₁) = -22/29
We note the following;
1) The sine of an angle in quadrant II is positive
2) The cosine of an angle in quadrant II is negative,
2) The cos of an angle = The adjacent leg length to the reference angle divided by the hypotenuse length of a right triangle
3) With regards to the right triangle for finding cos(θ₁)
The adjacent leg length = -22 (The x-axis is negative in quadrant II)
The hypotenuse length = 29
The negative sign is obtained from the value of cosine in the quadrant
Therefore, by Pythagoras' theorem, for a right triangle, we have;
The opposite leg length to 'θ₁' = √(29² - 22²) = √(357)
Therefore, we have;
.
Answer:
B. 24.3°
Step-by-step explanation:
Apply the sine rule to solve for x
Thus:
Multiply both sides by 8
x = 24.3° (nearest tenth)
Answer:
Rectangular Cuboid
Step-by-step explanation:
A rectangular cuboid has 4 faces that are rectangles and 2 faces that are squares. Since a square is a rectangle, this shape is technically built of 6 rectangles and is creates a 3-dimensional shape. Hence, we have the prism, rectangular cuboid.
Y/5.....the quotient of y and 5
14.1 - w....the difference of 14.1 and w
9n + 1....the product of 9 and a number (n), increased by 1
(z/8) - 9.....9 less then the quotient of z and 8
15 - (1.5/d) ....15 decreased by the quotient of 1.5 and a number (d)
Answer:
180-65 = 115
Step-by-step explanation:
it is 115 since <7 <6 are a linear pair so they make a 180 angle so 180-65 is 115
