Answer:
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Step-by-step explanation:
Answer:
Step-by-step explanation:
a) the equation representing the parabola is expressed as
h = -16t² - 4t + 20
c) to determine the height after 25 seconds, we would substitute 25 for t into the given equation. It becomes
h = -16(25)² - 4(25) + 20
h = - 10000 - 100 + 20
h = - 10080
d) when the coin lands on the ground, the height would be 0. Therefore,
-16t² - 4t + 20 = 0
Dividing both sides of the equation by 4, it becomes
- 4t² - t + 5 = 0
- 4t² - 5t + 4t + 5 = 0
- t(4t + 5) + 1(4t + 5) = 0
- t + 1 = 0 or 4t + 5 = 0
t = 1 or t = - 5/4
Since t cannot be negative, then t = 1 second
Answer:
14.4775121859299
Step-by-step explanation:
sinx = 125/500
sinx = 1/4
or, x = arcsin(1/4)
Answer: Volume = 48
Step-by-step explanation:
V = L * W * H
V = 4 * 6 * 2
V = 48
Answer:
x = 81, y = 68 and z = 99
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
z is an exterior angle, thus
z = 63 + 36 = 99
x and z form a straight angle and are supplementary, so
x + z = 180, that is
x + 99 = 180 ( subtract 99 from both sides )
x = 81
The sum of the 3 angles in a triangle = 180°, thus
z + y + 13 = 180, that is
99 + y + 13 = 180
112 + y = 180 ( subtract 112 from both sides )
y = 68