Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²
± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
1st :The angle of depression 30° = the angle of elevation (from the truck to the height of the building.
2nd :
cos 30° = (adjacent side)/(hypotenuse)
cos 30° = x/100, but cos 30°= (√3)/2
(√3)/2 = x/100 and x = (100√3)/2
and x = (50.√3) = 86.60 m
Angle B corresponds to ANGLE E.
You can simply tell by looking at the letters that are arranged.
ΔA<u>B</u>C = ΔD<u>E</u>F
Hope this helps
Answer:
from the given info
you can know that there were 16 red ones. (2/3)*24
and 8 green apples
and her classmates ate 3/4 of red ones i.e.
(3/4)*16
=12
and 1/2od green
i.e.
(1/2)*8
=4
and now the total eaten apples
= 12+4
=16
and the remaining number are
24-16
=8
Just go to were the line intercepts the y axis so -2 and rise over run so 2 up and 2 over but its negative so C should be correct.
