Step-by-step explanation:
(3²)³ × 3^x = 3⁷ × 3³/3¹¹
3⁶ × 3^x = 3¹⁰/3¹¹
3⁶ × 3^x = 3^-1
3^x = 3^-1 / 3⁶
3^x = 3^-1 × 3^-6
3^x = 3^-7
x = -7
Answer:
Step-by-step explanation:
Blue
Answer:
157 Minutes
Step-by-step explanation:
20.27 - 30 = 17.27
17.27 / .11 = 157
The area of the regular octagon is calculated as half of the product of the perimeter and the apothem (ap), using the formula of the area of the regular polygon.
We have then:
A = ((p) * (ap)) / 2
Where,
p: perimeter
ap: apotema
Substituting values:
A = ((8 * 3.4) * (4.2)) / 2
A = 57.12 in ^ 2
Answer:
the area of the regular octagon is:
B. 57
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
tan(x)/sec(x) = sin(x)
Hint: | Eliminate the denominator on the left hand side.
Multiply both sides by sec(x):
tan(x) = ^?sec(x) sin(x)
Hint: | Express both sides in terms of sine and cosine.
Write secant as 1/cosine and tangent as sine/cosine:
sin(x)/cos(x) = ^?1/cos(x) sin(x)
Hint: | Come to a conclusion.
The left hand side and right hand side are identical:
Answer: (identity has been verified)