Where are the situations??
Answer:
(90)(7) ⇒ the error was multiplying 90 and 7.
Step-by-step explanation:
12(597) = 12(500 + 90 + 7)
= 12(500) + (90)(7)
= 6000 + 630
= 6,630
The part in bold shows where the error is. It was not correct to multiply 90 and 7.
The process was to proceed as follows:
12(597) = 12(500 + 90 + 7)
= 12(500) + 12(90) + 12(7)
= 6000 + 1080 + 84
= 7,164
Answer:
35° (I may be wrong)
Step-by-step explanation:
An isosceles triangle has an interior angle sum of 180° (like all triangles).
So...
180°-40°= 140°
And because we know that isoceles triangles and two congruent sides, we just have to divide 140° by 2.
140°÷2=70°
But the picture says 2h and h is a side so...
70°÷2=35°
This looks complicated
lets simplify both sides
By multiplying top and bottom by the conjugate:-
left side = (5-3i)(x + iy) (4+5i) (5-3i)(x + iy) (4+5i)
------------------------ = ------------------------
(4-5i)(4+5i) 41
right side = (2 + i + 3-4)(2+i - 3 + 4i) (by Difference of 2 squares)
= 5-3i)(-1 + 4i)
so as left side = right side
(5-3i)(x+yi)(4+5i) = 41 (5-3i)(-1+5i)
5-3i is common so:-
(x + iy)(4+5i) = 41(-1+5i)
4x +5xi + 4yi - 5y = -41 + 205i
4x - 5y + (5x + 4y)i = -41 + 205i
EQuating coefficients we are left with the system of equations
4x - 5y = -41
5x + 4y = 205
solving this gives x = 21 and y = 25
<span><span><span><span><span>(<span><span>(<span>−3</span>)</span><span>(2)</span></span>)</span><span>(2)</span></span>−<span><span>(<span>−1</span>)</span><span>(3)</span></span></span>+<span><span><span>(3)</span><span>(3)</span></span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)
</span></span></span><span>=<span><span><span><span><span>(<span>−6</span>)</span><span>(2)</span></span>−<span><span>(<span>−1</span>)</span><span>(3)</span></span></span>+<span><span><span>(3)</span><span>(3)</span></span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)
</span></span></span></span><span>=<span><span><span><span>−12</span>−<span><span>(<span>−1</span>)</span><span>(3)</span></span></span>+<span><span><span>(3)</span><span>(3)</span></span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)</span></span></span></span><span>=<span><span><span><span>−12</span>−<span>(<span>−3</span>)</span></span>+<span><span><span>(3)</span><span>(3)</span></span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)
</span></span></span></span><span>=<span><span><span>−9</span>+<span><span><span>(3)</span><span>(3)</span></span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)
</span></span></span></span><span>=<span><span><span>−9</span>+<span><span>(9)</span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)
</span></span></span></span><span>=<span><span><span>−9</span>+18</span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)
</span></span></span></span><span>=<span>9−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)
</span></span></span></span><span>=<span>9−<span><span>(<span>−2</span>)</span><span>(3)
</span></span></span></span><span>=<span>9−<span>(<span>−6</span>)
</span></span></span><span>=<span>15</span></span>
