Answer:
6√2
Step-by-step explanation:
from the graph the coordinates of the points are (2, 5) and (- 4, -1)
the distance is d= √(x2-x1)²+(y2-y1)² = √(-4-2)²+(-1-5)²=√72 = √2*2*2*3*3= 6√2
Answer:
100 in²
Step-by-step explanation:
The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.
The rectangle has a height of 8 inches and width of 14 inches, so its area is:
A = (8 in) (14 in) = 112 in²
The triangle has a base of 8 inches and a height of 3 inches, so its area is:
A = ½ (8 in) (3 in) = 12 in²
So the area of the banner is 112 in² − 12 in² = 100 in².
The factors of 56: 1; 2; 4; 7; 8; 14; 28; 56
The factors of 84: 1; 2; 3; 4; 6; 14; 28; 42; 84
GCF(56; 84) = 28
$269.15 discount 499.85 sales price
Step-by-step explanation:
If the price is $769 it's off 35% you turn the percent into a decimal which is .35 then you multiply it by the price of $769. You then get $269.15 for the discount price and then you subtract the regular price $769 from the discount price which is $269.15. So you get $499.85 as your answer
AB
It is indicated in the figure and is valid:
m AB = 49
m ABC
Angle resulting from the following subtraction:
m ABC = 360-107 = 253
m BAC
Angle resulting from the sum of the two angles shown in the figure:
m BAC = 107 + 49 = 156
m ACB
Angle resulting from the following subtraction:
m ACB = 360-49 = 311
