Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1
Consider the left side
2cos²A - 1 ← replace 1 by sin²A + cos²A
= 2cos²A - ( sin²A + cos²A)
= 2cos²A - sin²A - cos²A
= cos²A - sin²A = right side ⇒ verified
Answer:B. 2x^2 + 4x - 1 - 9/4x + 1
Step-by-step explanation:
f(x) = 8x^3 + 18x^2 − 10
g(x) = 4x + 1
We want to determine f(x)/g(x). We would apply the long division method. The steps are shown in the attached photo.
The correct answer is
2x^2 + 4x - 1 - 9/4x + 1
Answer:
Angle BCA = 70
Angle CAB = 20
Step-by-step explanation:
Not sure what angle you meant, so I'll give you all of them <3
Angle BCA = 70 degrees, because If two angles form a line, they add up to 180. (110+x=180, x = 70)
Angle CAB = 20 degrees, because there are 180 degrees in a triangle, so 90+70+x=180, x = 20
Hope it helps <3
Answer: The angles are 67.5°, 22.5° and 90°.
Step-by-step explanation:
It should be noted that a straight angle is always equal to 180°.
The straight angle is split in the ratio 3:1:4.
The measure of each angle will be:
a. = 3/(3+1+4) × 180°
= 3/8 × 180°
= 67.5°
b. 1/8 × 180° = 22.5°
c. 4/8 × 180° = 90°
The angles are 67.5°, 22.5° and 90°.
Answer:
Possible dimensions are 16 × 4 inches and 32 × 2 inches.
Step-by-step explanation:
We are given that,
Area of the frame = 64 inch² = Length × Width
Now, we have that 64 can be factored as,
64 = 32 × 2
64 = 16 × 4
64 = 8 × 8
Since, the frame is in a rectangular shape. So, we reject the possibility of 8 × 8 inches frame.
Thus, the possible dimensions are,
Set 1: 16 × 4 inches
Set 2: 32 × 2 inches.
