Answer:
256
Step-by-step explanation:
First find the volume of the cube, which is 8^3, or 512. Half of that is how much water there is, which is 256 in^3.
Triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS
Answer:
<u>y = -3x + 8</u>
Step-by-step explanation:
<u>Given :-</u>
Point on line = (5, -7)
Slope (m) = -3
<u>To find :-</u>
Equation of line
<u>Solving :-</u>
Using point-slope form of equation,
y - y₁ = m(x - x₁)
y + 7 = -3(x - 5)
y + 7 = -3x + 15
<u>Solution :-</u>
<u>y = -3x + 8</u>
Answer:
Leslie has 13 quarters and 23 half-dollars.
Step-by-step explanation:
You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:
x+y=36 (1)
0.25x+0.50y=14.75 (2), where:
x=amount of quarters
y=amount of half-dollars
First, you can isolate x in (1):
x=36-y (3)
Then, you can replace (3) in (2):
0.25(36-y)+0.50y=14.75
9-0.25y+0.50y=14.75
0.25y=5.75
y=5.75/0.25
y=23
Finally, you can replace the value of y in (3) to find the value of x:
x=36-23
x=13
According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.
