Units of square inches are never equal to units of cubic inches, so we presume the statement of the problem applies to the numerical values in in² and in³.
The volume of a cuboid of length L, width W, and height H is
... V = LWH
The area is
... A = 2(LW + H(L+W))
You want these to be equal for L=9, W=4, and H=x.
Equating the expressions, we have
... 9·4·x = 2(9·4 +x(9+4))
... 36x = 2(36 +13x) . . . . . simplify a bit
... 36x = 72 + 26x . . . . . . simplify more
... 10x = 72 . . . . . . . . . . . . subtract 26x
... x = 7.2
The dimension represented by x is 7.2 inches.
Answer:
The value of sin Ф is
Step-by-step explanation:
In quadrant II, the value of
Let us solve the question
∵ sin²Ф + cos²Ф = 1
∵ cos Ф =
→ Substitute it in the identity above
∴ sin²Ф + ()² = 1
∴ sin²Ф + = 1
→ Subtract from both sides
∵ sin²Ф + - = 1 -
∴ sin²Ф =
→ Take the square root of both sides
∵ √(sin²Ф)= ±
∴ sin Ф = ±
∵ Ф is in quadrant II
∴ sin Ф is a positive value
∴ sin Ф =
∴ The value of sin Ф is
I already answered this question, if you look back in your questions you should find this answered along with another one. I'll do it again just in case you don't find it.
Answer:
{y,x} = {-4,-2}
Expanation:
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 2x
// Plug this in for variable y in equation [2]
[2] -2•(2x) - 8x = 24
[2] - 12x = 24
// Solve equation [2] for the variable x
[2] 12x = - 24
[2] x = - 2
// By now we know this much :
y = 2x
x = -2
// Use the x value to solve for y
y = 2(-2) = -4
Answer:
B. 2/3
Step-by-step explanation:
To solve this we have to take into account this axioms:
- The total probability is always equal to 1.
- The probability of a randomly selected point being inside the circle is equal to one minus the probability of being outside the circle.
Then, if the probabilities are proportional to the area, we have 1/3 probability of selecting a point inside a circle and (1-1/3)=2/3 probability of selecting a point that is outside the circle.
Then, the probabilty that a random selected point inside the square (the total probability space) and outside the circle is 2/3.
Answer:
1080
Step-by-step explanation:
480 + 480 + 1/4(480) = 1080