Answer: 2 4/5
Step-by-step explanation:
14/3 - 2 2/5
14/3 - 12/5
= 34/15
= 2 4/15
Answer:
C
Step-by-step explanation:
Step 1: find BC
Given Triangles ABC and ADE are similar,
= 
BC = x DE
= 
x 9
= 6 cm
Step 2: use Pythagorean theorem to find AC and / or AE
Consider triangle ABC,
by Pythagorean theorem,
AB² + BC² = AC²
AC² = 6² + 8² = 100
AC = √100 = 10 (answer... we can see that C is the only one with AC=10.
Step 3: Verify.. even though we know that it is C because AC = 10, you can verify that the ansewer is correct by finding CE and confirming that CE=5
By using similar triangles ABC and ADE,
AC/AE = AB / AD
AE = AD/AB x AC = 12/8 x 10 = 15
CE = AE - AC = 15 - 10 = 5 (answer confirmed)
Answer:
D) 672 in³
Step-by-step explanation:
The volume of a rectangular prism is found by the <em>product of its length, width, and height</em>, so the equation is<em> V = l * w * h</em>.
Plug in: <em>V = 12 * 7 * 8</em>
Multiply: V = 672 in³
Answer:
I think the answer is 26.5
<span>Simplifying
3x2 + -6x + c = 0
Reorder the terms:
c + -6x + 3x2 = 0
Solving
c + -6x + 3x2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '6x' to each side of the equation.
c + -6x + 6x + 3x2 = 0 + 6x
Combine like terms: -6x + 6x = 0
c + 0 + 3x2 = 0 + 6x
c + 3x2 = 0 + 6x
Remove the zero:
c + 3x2 = 6x
Add '-3x2' to each side of the equation.
c + 3x2 + -3x2 = 6x + -3x2
Combine like terms: 3x2 + -3x2 = 0
c + 0 = 6x + -3x2
c = 6x + -3x2
Simplifying
c = 6x + -3x<span>2</span></span>
