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grin007 [14]
4 years ago
11

Simplify: i^85 A. 1 B. -1 C. i D. -i

Mathematics
1 answer:
TiliK225 [7]4 years ago
3 0
I=√-1

i^85 = √-1^85 = (-1)^42 times i = i


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NEED DONE FAST GIVING 40 POINTS
dlinn [17]

To solve this problem you must apply the proccedure shown below:

1. The perimeter of a rectangle can be calculated with the following formula:

Perimeter=2Width+2Length

2. The width is:

Tan\alpha=opposite/adjacent\\Tan(72)=12/W\\ W=(12)(Tan(72))\\ W=3.89 in

3. Now, you must substitute the values into the formula for calculate the perimeter:

Perimeter=2(3.89in)+2(12in)\\ Perimeter=31.78in

Therefore, the answer is: 31.78 in

7 0
3 years ago
Evaluate∣2x+7∣ for x=-4
yanalaym [24]

∣2x+7∣ for x=-4

Use the substitution method

∣2*-4+7∣

Mutiply first then add +7

∣2*-4∣= -8

∣-8+7∣= -1

Whenever there is a negative number for absolute value , the number becomes a + positive number.

∣-1∣= 1

Answer:

1

5 0
3 years ago
What is the approximate radius of a sphere with a volume of 34 cm3?​
xz_007 [3.2K]

Answer:

<h2>2.01 cm</h2>

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

<em>R</em><em> - radius</em>

<em />

We have

V=34\ cm^3

Substitute:

\dfrac{4}{3}\pi R^3=34    <em>multiply both sides by 3</em>

3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}\pi R^3=(3)(34)

4\pi R^3=102         <em>divide both sides by 4</em>

\dfrac{4\pi R^3}{4}=\dfrac{102}{4}

\pi R^3=\dfrac{51}{2}          <em>divide both sides by π</em>

\dfrac{\pi R^3}{\pi}=\dfrac{\frac{51}{2}}{\pi}

R^3=\dfrac{51}{2\pi}   <em>use π ≈ 3.14</em>

\R^3\approx\dfrac{51}{(2)(3.14)}

R^3\approx\dfrac{51}{6.28}\\\\R^3\approx8.121\to R\approx\sqrt[3]{8.121}\\\\R\approx2.01\ cm

5 0
4 years ago
Equation for turning 2.2 into a fraction
irina [24]

Answer: (2.2 × 10)(1 × 10) = 2210.

Step-by-step explanation:Step 2: Multiply both top and bottom by 10 for every number after the decimal point: As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So, 2.21 = (2.2 × 10)(1 × 10) = 2210.

3 0
3 years ago
Read 2 more answers
Two angles of a quadrilateral measure 140° and 80°. The other two angles are in a ratio of 3:4. What is the value of x? What are
Andreyy89

Answer: The measurements of the two angles are 60° and 80°.

Step-by-step explanation:

A quadrilateral is a shape that has four sides and the total angle is 360°. Two angles of a quadrilateral measure 140° and 80°.

This means the two angles have a total of (140° + 80°) = 220°. We can then subtract from 360° to know the value of the other remaining angles. This will be:

= 360° - 220°

= 140°

The other two angles are in the ratio of 3:4. This means the angles are:

(3/3+4) × 140° = 3/7 × 140° = 60°

(4/3+4) × 140° = 4/7 × 140° = 80°

The measurements of the two angles are 60° and 80°.

4 0
3 years ago
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