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Dimas [21]
3 years ago
13

Use The diagram to complete the statement​

Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

Answer:

Looks confusing I don't really know this but try your best !! :')

Step-by-step explanation:

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3-2i/1+4i include each step necessary in simplifying
Likurg_2 [28]

Answer:

\frac{3-2i}{1+4i}=\frac{11}{17}-\frac{10}{17}i

Step-by-step explanation:

\frac{3-2i}{1+4i} <-- Given

\frac{3-2i}{1+4i}*\frac{1-4i}{1-4i} <-- Multiply by the conjugate of the denominator as a factor of 1

\frac{(3-2i)(1-4i)}{(1+4i)(1-4i)}

\frac{(3)(1)+3(-4i)-2i(1)-2i(4i)}{(1)(1)+1(-4i)+4i(1)+4i(-4i)} <-- Use the Distributive Property and FOIL

\frac{3-12i-2i-8i^2}{1-4i+4i-16i^2}

\frac{3-10i-8i^2}{1-16i^2}

\frac{3-10i-8(-1)}{1-16(-1)} <-- Rewrite i^2 as -1

\frac{3-10i+8}{1+16}

\frac{11-10i}{17}

\frac{11}{17}-\frac{10}{17}i <-- Rewrite in a\pm bi form

8 0
3 years ago
What is the sum of 4.2 × 105 and 5.3 × 10^5?
Nina [5.8K]
(4.2*105)+(5.3*10^5)
441 + 530000
530441

-----------

If your problem is (4.2*10^5)+(5.3*10^5), it would be 
420000 + 530000
950000

4 0
4 years ago
Read 2 more answers
Find the shaded area.
OleMash [197]

Answer:

13.73

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Could someone please help me.
scoray [572]

Answer: Your answer is "9.5 f.t"

Step-by-step explanation:

5 0
3 years ago
The radius of a cylindrical box is (2x+3) inches. Height of the gift box is 3 times the radius. What is the surface area of cyli
GarryVolchara [31]

<em><u>The surface area of cylinder in standard form is:</u></em>

A = 100.48x^2+301.44x + 226.08

<em><u>Solution:</u></em>

Given that,

Radius of cylinder = 2x + 3 inches

Height of cylinder = 3 times radius = 3(2x + 3)

Height of cylinder = 6x + 9 inches

<em><u>The surface area of cylinder is given by formula:</u></em>

A=2 \pi rh+2 \pi r^2\\\\A = 2 \pi r(h+r)

Where, "r" is the radius and "h" is the height of cylinder

<em><u>Substituting the given values we get,</u></em>

A = (2 \times 3.14 \times (2x+3))(6x + 9 + 2x + 3)\\\\A = (6.28 \times (2x+3))(8x + 12)\\\\A = (12.56x + 18.84)(8x+12)\\\\On\ simplifying\ we\ get\\\\\ A = 100.48x^2 +150.72x+150.72x + 226.08\\\\A = 100.48x^2 + 301.44x+226.08

Thus the surface area of cylinder in standard form is found

3 0
3 years ago
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