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
Answer:
58.077 cubic cm
Step-by-step explanation:
Given that:
- height : 4.8 cm
- radius: 3.4 cm
As we know that, the volume of a conical perfume bottle is as following:
V = (1/3) * π * r² * h
So perfume can the bottle hold is:
V = (1/3) * 3.14 * 3.4² * 4.8 = 58.077 cubic cm
Hope it will find you well
Answer:
B
Step-by-step explanation:
He's typing 40 words per minute.
110 words divided by 2.75 minutes.
40 x 4.25 minutes= 170
Y=5x - 3
Because the difference in the y values are 5, the rise is 5. That is the TOP of the slope. The difference in the x values is 1, that is the run or the BOTTOM of the slope. So m = 5/1.
Using y = mx + b
2 = 5(1) + b
-3 = b
Therefore, y = 5x -3
HL Theorem would prove these two triangles are congruent.
