Answer: 6
Step-by-step explanation:
12 = 2^2 • 3
30 = 2 • 3 • 5
72 = 2^3 • 3^2
SOLUTION:
PQR is a right-angle triangle.
Therefore, to solve this problem, we will use Pythagoras theorem which is only applicable to right-angle triangles.
Pythagoras theorem is as displayed below:
a^2 + b^2 = c^2
Where c = hypotenuse of right-angle triangle
Where a and b = other two sides of right-angle triangle
Now we will simply substitute the values from the problem into Pythagoras theorem in order to obtain the length of QR.
c = PQ = 16cm
a = PR = 8cm
b = QR = ?
a^2 + b^2 = c^2
( 8 )^2 + b^2 = ( 16 )^2
64 + b^2 = 256
b^2 = 256 - 64
b^2 = 192
b = square root of ( 192 )
b = 13.8564...
b = 13.86 ( to 2 decimal places )
FINAL ANSWER:
Therefore, the length of QR is 13.86 centimetres to 2 decimal places.
Hope this helps! :)
Have a lovely day! <3
Given the movement of Dolphin has been modeled by the function:
h(t)=-16t^2+26t
the time taken for Dolphin to reach 5 feet will be:
5=-16t^2+26t
writing the above in quadratic form ax^2+bx+c=0 we get:
16t^2-26t+5=0
solving the quadratic equation using quadratic formula we obtain:
t=13/16+/-√89/16
t=0.22 sec or 1.40 sec
Answer: y = 3x (3,6)
Step-by-step explanation:
Answer:
0.150,0.595
Step-by-step explanation:
Given that at a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump regular, 30% pay at least $30. Of those who pump midgrade, 50% pay at least $30. And of those who pump premium, 60% pay at least $30.
Regular gas Midgrade Premium gas Total
Percent 40 35 25 100
atleast 30 30% 50% 60%
a) The probability that the next customer pumps premium gas and pays at least $30
=
b) the probability that the next customer pays at least $30
= P(regular and pays atleast 30%)+P(premium and pays atleast 30%)+P(midgrade and pays atleast 30%)
=
