Answer:
x = 1, y = 46
Step-by-step explanation:
Since the triangles are congruent then corresponding sides and angles are congruent, then
DE = AB , that is
3x + 6 = 9 ( subtract 6 from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
and
∠ C = ∠ F
10x + y = 56 ( substitute x = 1 )
10(1) + y = 56
10 + y = 56 ( subtract 10 from both sides )
y = 46
Answer:
Cylinder A has a volume of 35.34 and Cylinder B has a volume of 58.9, the cylinder B has the greater volume.
Step-by-step explanation:
B= (3.14) 2.5 x 3h = 58.9 Cylinder B = 58.9
A= (3.14) 1.5 x 5h = 35.34 Cylinder A = 35.34
Question 1: The y-intercept is where the line crosses the y-axis. The increments of the y-axis is by 20, and the y-intercept is at (0, 20).
The slope is the change in y over the change in x. Find two points:
(0, 20) and (2, 80)
Now:
(80 - 20)/(2 - 0) = 60/2 = 30
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
So:
y = 30x + 20
Question 2: Again, look for the y-intercept, which is pretty clear. It's (0, 60).
Now find two points:
(0, 60) and (2, 40)
Find the slope:
(40 - 60)/(2 - 0) = -20/2 = -10
So, the equation is:
y = -10x + 60
And, there you go!
Answer:
a:500 b:547,500 c:557,500
Step-by-step explanation:
Answer:
Ten and a Half milkshakes can be prepared from the available amount of ice cream.
Step-by-step explanation:
The total vanilla ice cream = 7/8 gallons
Ice cream used for 1 milkshake = 1/12 gallon
Now, total number of milkshakes possible = 
= 
Hence ten and a half milkshakes can be prepared from the available amount of ice cream.
