Answer:
8.47 Hours
Step-by-step explanation:
The total distance covered in 12 hours with a speed of 60 mph
Distance = 12 x 60 = 720 miles
Now we are required to find the time taken if the same distance is travelled with a speed of 85 mph
Time = 8.47 hours
For every 5 cashews, there are 6 peanuts and 7 almonds.
Means: Cashews:Peanuts:Almonds = 5:6:7
Sum of ratio = 5 + 6 +7 = 18
Cashews = (5/18) * 270 = 75
Peanuts = (6/18) * 270 = 90
Almonds = (7/18) * 270 = 105
So how many more what are there than peanuts?
The number of that nuts Minus the number of peanuts.
= Number of that nuts - 90
Answer:
<h2>x =
-2+i√5 and -2i-√5</h2>
Step-by-step explanation:
The general form of a quadratic equation is ax²+bx+c = 0
Given the quadratic equation x²+4x+9=0 in its standard form, on comparing with the general equation we can get the value of the constant a, b and c as shown;
ax² = x²
a = 1
bx = 4x
b = 4
c = 9
The quadratic formula is given as x = -b±√(b²-4ac)/2a
Substituting the constant;
x = -4±√(4²-4(1)(9))/2(1)
x = -4 ±√(16-36)/2
x = -4±√-20/2
x = -4±(√-1*√20)/2
Note that √-1 = i
x = -4±(i√4*5)/2
x = (-4±i2√5)/2
x = -4/2±i2√5/2
x = -2±i√5
The solution to the quadratic equation are -2+i√5 and -2i-√5
Answer:
The polygons are similar.
Step-by-step explanation:
By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.
Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.
The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is 
.
The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is 
.
If these polygons are similar, these proportions must be equal.
Checking, we see that these proportions are equal, and therefore the polygons are similar.
30u^2v^3 and 8u^5v is : 2u^2v
