Answer:
A = 176/15
B = 1/19
C = -1
D = - 1/48
E = 80/17
F = - 1/10
Step-by-step explanation:
A) -4/3 x (-75-13)/10
(-4/3) x (-88/10) = 176/15
B) 4/19 - 12/19 + 9/19 = (4 - 12 +9)/19
= 1/19
C) -6/5- (3/34)/(-15/34)
-6/5 - (-1/5)
-6/5 + 1/5 = -1
D) (3/10) x (5/18) = 15/180 = 1/12
(1/16) - (1/12) = - 1/48
E) (3/32) - (1/32) = 2/32 = 1/16
(5/17) / (1/16) = 80/17
F) (4/20) x (12/8) x (-5/15) = - 240/2400 = - 1/10
Answer:
21 roads
Step-by-step explanation:
If each two cities are connected by a direct road, to find the number of roads we just need to solve a combination of 7 choose 2, that is, we need to find all pairs of two cities among the 7 cities:
Combination of 7 choose 2 = 7! / (5! * 2!) = 7*6/2 = 21
So there is a total of 21 roads on the island.
Answer:
You can use Pythagorean Theroum, its not that hard. Use the formule a^2+b^2=c^2
The a is one side, the b is also another side but the C is the hypot use. The hypotunes (the largest side of a triangle) is usually the diagonal of the triangle like the one thats the longest.
(I’m gonna do a few)
1) 10^2+7^2=c^2
100+49=c^2
149=c^2
square root of 149 is about 12.21
(Skipped to 3 because of different example)
3) We know the hypotenuse but we don’t know B
so
16^2+b^2=27^2
256+b^2=729
b^2=473
About 21.75
6) Well this is a trapezoid and we want to find the side
So the two triangle’s sides are 17 and 19
We know 17 and 19 becuase the 17 was stated and the 19 was equal on both sides
use pythagoream theorem
17^2+b^2=19^2
289+b^2=361
B^2=72
8.49
Now thats the triangle’s sides
Now we double it becuase there are 2 of them
8.49(2)=16.98
Now we subtract that from 31
31-16.98=14.02
x=14.02
(I’d do more but I have no more space)
Answer:
Step-by-step explanation:
Given:
Two points are given
x = number of minutes
y = length of the lin
⇒ (0, 6)
⇒ (20, 17)
We need to find the equation that represents the relationship between x, y.
Solution:
Using slope formula to find the slope of the equation of the line.
Substitute = (0, 6) and = (20, 17) in above equation.
So, slope of the line
Using point slope formula.
------------(1)
Where, m = slope of the line
Substitute ⇒ (0, 6) and in equation 1.
Add 6 both side of the equation.
Therefore, the equation that represents the relationship between x and y is written as:
Answer:
5+3 is Amy, so Amy is 8
Step-by-step explanation:
So, lets say amy is a
and gabriella is g
WE know that g=5, because gabriella is 5 years old
And, Gabriells is younger than Amy, so we need to add to get Amy's age
So, 5 ( Gabriella's age ) + 3=Amy
So, 5+3= Amy
So Amy is 8