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Arte-miy333 [17]
3 years ago
13

Please help me thanks please

Mathematics
1 answer:
aleksley [76]3 years ago
4 0

Answer:

1200 cubic units

Step-by-step explanation:

If you split the shape into two parts, you can find the volume of each and solve. For the first part, you do 10x8x6 to get 480. For the second part you do 12x10x6 to get 720. Add 480+720 to get 1200.

Hope it helps!

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Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id
Thepotemich [5.8K]

\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

Explanation

\frac{1}{a+bi}=c+di

Step 1

multiplicate by the conjugate

\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}

notice that

\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\  \end{gathered}\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

I hope this helsp you

6 0
1 year ago
Complete the square 2x2- 12x+ 26 = 10
Mariana [72]
2x^2-12x+26=10\ \ \ | subtract\ 10\\\\
2x^2-12x+16=0\ \ \ | divide\ by\ 2\\\\
x^2-6x+8=0\\\\
put\ into\ form:\ (x+d)^2+c=0\\
-6x=2xd\ \ \ | divide\ by\ x\\
d=-3\\
8=d^2+c\\
8=9+c\ \ \ | subtract\ 9\\
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After\ completing\ the\ square:\\
(x-3)^2-1=0
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4 years ago
2 thousands divided by what number is equal to 2 hundreds?
laila [671]

Answer:

10

Step-by-step explanation:

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8 0
3 years ago
Fgh is first translated using the rule x,y >x+3,y-1this is followed by a 90 degrees counter clockwise rotation centered at th
maw [93]

Answer:

Rule:

h = (1 - y,x + 3)

Step-by-step explanation:

<em>I will answer generally, since the coordinates of f, g and h are not given</em>

Given

Point: x, y

Translation Rule

1 : x + 3, y - 1

2: 90 degree counterclockwise

Required

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<u>At the first translation of (x,y) by x + 3, y - 1</u>

The new point is: (x + 3, y - 1)

<u>At the second translation (90 degrees counterclockwise)</u>

When a point (x,y) is translated using this rule, it becomes (-y,x)

So, the new point is:

h = (-(y - 1),x + 3)

h = (1 - y,x + 3)

If the initial point of h is (2,3),

The new point is:

h = (1 - 3, 2 + 3)

h = (- 2, 5)

5 0
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John bought a pair of basketball shoes for $70. The sales tax on the shoes was $5.60. Which represents the sales tax rate?
lisabon 2012 [21]
8%

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5 0
3 years ago
Read 2 more answers
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