Answer:
a) s = -16
+ 192t + 96
b) Height of the football after 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
Step-by-step explanation:
Given:
s = -16 + 
t + 
where: s is the height of the football above the ground, t is the time, is the initial velocity and is the initial height.
The height of the building = = 192 feet and the initial speed of the ball = = 96 feet per second, then;
s = -16 + 192t + 96
a) The polynomial is given as:
s = -16 + 192t + 96
b) The height of the football when t = 2 seconds is;
s = -16(2) + 192(2) + 96
= -32 + 384 + 96
= -32 + 480
s = 448
The height of the football when t = 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
Answer: 0.20 Ω
Step-by-step explanation:
From the question, we are informed that a multi-cab starter motor has a current of 60.0 A and a voltage of 12 V. The resistance of the starter motor will be calculated thus:
Current (I) = 60.0A
Voltage (V) = 12V
Resistance = Unknown
Since Voltage = Current × Resistance
Therefore, Resistance = Voltage / Current
= 12/60
= 0.20 Ω
The resistance of the motor is 0.20 Ω
Answer:
Below in bold.
Step-by-step explanation:
2/5 x - 1/7 x = 36
14/35 x - 5/35x = 36
9x / 35 = 36
x = 35*36 / 9
x = 35*4 = 140 (answer).
Answer:
The correct option is B.
Step-by-step explanation:
Given information: AB\parallel DCAB∥DC and BC\parallel ADBC∥AD .
Draw a diagonal AC.
In triangle BCA and DAC,
AC\cong ACAC≅AC (Reflexive Property of Equality)
\angle BAC\cong \angle DCA∠BAC≅∠DCA ( Alternate Interior Angles Theorem)
\angle BCA\cong \angle DAC∠BCA≅∠DAC ( Alternate Interior Angles Theorem)
The ASA (Angle-Side-Angle) postulate states that two triangles are congruent if two corresponding angles and the included side of are congruent.
By ASA postulate,
\triangle BCA\cong \triangle DAC△BCA≅△DAC
Therefore option B is correct
