Answer:
Step-by-step explanation:
Solving (a): 241^257 mod 12
To do this, we simply calculate
Because
The highest number less than or equal to 241 that is divisible by 12 is 240; So:
Hence:
Solving (b): 7 * 20
Solving (c): Multiplicative inverse of 7 in 719
The position of 7 in 719 is 700
So, the required inverse is 1/700 ---- i.e. we simply divide 1 by the number
Volume= length x width so since 12 is the radius the diameter is 24 which is the width and then multiply 24 by 25 for the volume. The answer is 600 cm^2
Answer:
the last option
Step-by-step explanation:
In any triangle the longest side is opposite the largest angle.
The shortest side is opposite the smallest angle
Given
∠ V = 74° and ∠ W = 96° , then
∠ X = 180° - (74 + 96)° = 180° - 170° = 10°
Thus
largest side opposite ∠ W is XV
smallest side opposite ∠ X is VW
side between them opposite ∠ V is WX
Thus
VW < WX < XV
Let z = √3 + i. Compute the modulus and argument of z :
|z| = √((√3)² + 1²) = √4 = 2
arg(z) = arctan(1/√3) = π/6 = 30°
Then
z = √3 + i = 2 (cos(30°) + i sin(30°))
Answer:
If we add up all the angles of any triangle, we should get 180 degrees. Therefore, Angle C = 90 (angle A) - 45 (angle B) = 45 degrees. Since there was a ray drawn from A through C the exterior angle of angle C is angle 1.
Step-by-step explanation:
a "one angle" A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. ... Because a full rotation equals 2π radians, one degree is equivalent to π180 radians.