Answer:
200.96
Step-by-step explanation:
Multiply the radius squared by pi. The radius is 8 in. so, 8 x 8 = 64. 64 x 3.14 = 200.96
Hope this helps!
If you would like to transform the following phrase into a math expression, you can do it like this:
8 less than a number is no more than 14 and no less than 5
a number ... n
8 less ... - 8
no more than 14 .... < 14
no less than 5 ... > 5
<span><span><span>Now you just have to put this together: 5 < n - 8 < 14
If 5 and 14 are included: 5 <= n - 8 <= 14
</span></span></span>
Hey there!
We can solve systems two ways - substitution and elimination. It seems in this case that elimination is going to be easier.
Let's begin by multiplying the top equation by 3, and the bottom equation by 4:
3(5x - 4y = -24)
15x - 12y = -72
4(4x + 3y = 18)
16x + 12y = 72
Next, we'll add the two equations together to get rid of, or eliminate, the y variable and solve for the x variable:
(15x - 12y = -72) + (16x + 12y = 72)
31x = 0
x = 0
Next, we'll plug the value of the x variable into the top equation and solve for the y variable:
5(0) - 4y = -24
-4y = -24
y = 6
Therefore, x = 0 and y = 6.
Hope this helps!! :)
Answer: 23 is a number.
Step-by-step explanation:
An algebraic expression is made up of terms consisting of variables (for example, n), a number (for example, 23) or a constant multiplied by variable or variables (for example, ax2 + bx + c).
Answer:
BC = 34
Step-by-step explanation:
Given that ∠B = ∠C then the triangle is isosceles.
Thus AB and AC are congruent, that is
4x - 8 = 2x + 12 ( subtract 2x from both sides )
2x - 8 = 12 ( add 8 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Hence
BC = 3x + 4 = (3 × 10) + 4 = 30 + 4 = 34
