Answer:
ok the raduis is 16 so pie * 16^2=804.25
Step-by-step explanation:
Answer:
x > 4
Step-by-step explanation:
Given
2(x + 6) < 3x + 8 ← distribute left side
2x + 12 < 3x + 8 ( subtract 3x from both sides )
- x + 12 < 8 ( subtract 12 from both sides )
- x < - 4
Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.
x > 4
Let's simplify step-by-step. <span>7−<span>4<span>(<span>3−<span>(<span><span>4y</span>−5</span>)</span></span>)</span></span></span>
<span><span><span /></span></span>Distribute:<span> =<span><span><span>7+<span><span>(<span>−4</span>)</span><span>(3)</span></span></span>+<span><span>(<span>−4</span>)</span><span>(<span>−<span>4y</span></span>)</span></span></span>+<span><span>(<span>−4</span>)</span><span>(5)</span></span></span></span><span>=<span><span><span><span><span>7+</span>−12</span>+<span>16y</span></span>+</span>−20</span></span>
<span><span /></span>Combine Like Terms: <span>=<span><span><span>7+<span>−12</span></span>+<span>16y</span></span>+<span>−20</span></span></span><span>=<span><span>(<span>16y</span>)</span>+<span>(<span><span>7+<span>−12</span></span>+<span>−20</span></span>)</span></span></span><span>=<span><span>16y</span>+<span>−25</span></span></span>
<span><span><span>
</span></span></span>
<span><span><span /></span></span>Answer: <span>=<span><span>16y</span>−<span>25</span></span></span>
Answer:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
