9 times 8 witch is 72 72 divided by 8 equals 9 and 72 divide by 9 equals 8
Answer:
Probability that song selected after first selection is rock = 2/7
Probability that song selected from the remaining after second selection is country rock = 1/2
Step-by-step explanation:
Total number of songs = 7
After first selection, probability that the song selected is rock = 2/7
After second selection, probability that the song selected from the remaining is a country song = 3/6 = 1/2
Answer:
18/5 = 3.6 (note that 3/2 = 1.5 )
the actual division is 3.387
Step-by-step explanation:
Answer
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
Given,
∠BCE=28° ∠ACD=31° & line AB=AC .
According To the Question,
- a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°
- b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚
thus , ∠ABC=76° .
- c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,
Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°
Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)
∠DAB = 180° - 107° ⇔ 73°
& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°
Now, In Triangle ADC Sum of angles in a triangle is 180°
∠ADC = 180° - (31° + 45°) ⇔ 104˚
- d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre
For Diagram, Please Find in Attachment
So it took an hour an 15 minutes which means the distance traveled is their speed+1/4 of their speed, also any answers that have northbound going faster than 6km/h above south is not right so B and D seems to be out of the picture