The answer is 3 ..........................
Answer:
See below.
Step-by-step explanation:
Use the compound angle identity:
sin(A - B) = sinA cosB - cos A sin B.
Plugging in the given angles:
A = 360 and B = O so:
sin (360 - O) = sin 360 cos O - cos 360 sin O
sin 360 = 0 and cos 360 = 1 therefore we have
0 * cos O - 1 * sin O
= 0 - sin O
= -sin O.
Answer:
(x - 3)(2x + 7)
Step-by-step explanation:
Assuming you require the expression factorised.
Given
2x² + x - 21
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 21 = - 42 and sum = + 1
The factors are - 6 and + 7
Use these factors to split the x- term
2x² - 6x + 7x - 21 ( factor the first/second and third/fourth terms )
= 2x( x - 3) + 7(x - 3) ← factor out (x - 3) from each term
= (x - 3)(2x + 7) ← in factored form
Answer:
Volume = 42 units^2
x = 5 units
Total Surface Area = 96 units
Step-by-step explanation:
Volume
V = bh, where b = 1/2 * 3 * 4 and h = 7,
= 6 * 7 = 42 units^2
x
You can solve for this variable by using the pythagorean theorem;
a^2 + b^2 = c^2, where a = 3 and b = 4,
9 + 16 = x^2
= 25 = x^2
= x = 5 units
Total Surface Area
You can solve this by multiplying the perimeter of the base (3 + 4 + 5) by the height and adding that to two times the area of the base:
7 * (3 + 4 + 5) + 2(1/2*3*4)
= 7*12 + 12
= 96 units