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Alenkinab [10]
3 years ago
15

Write 0.0501 in scientific notation

Mathematics
2 answers:
Lesechka [4]3 years ago
8 0
<span>Write 0.0501 in scientific notation
</span>
answer is 

5.01 x 10^-2 
mafiozo [28]3 years ago
5 0
501x10-1(the exponent)
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Find the value of y.
stepladder [879]

Answer:

10

Step-by-step explanation:

5 0
3 years ago
Write the slope-intercept form of the equation for the line given the slope and y-intercept (equation: y=mx+b) Slope = 5, y-inte
Dima020 [189]

Answer:

The answer is y = 5x +2

Step-by-step explanation:

4 0
2 years ago
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
Tanzania [10]

The total area of pyramid is 113.569 square units

The equation to find the total area of the pyramid is Total area = base area + lateral area.

<u>Solution:</u>

Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.

<em><u>The total area of pyramid is given by:</u></em>

A=A_{b}+A_{l}   ---- eqn 1

Where,

A_{b} \text { is the base area and } A_{l} \text { is the lateral area }

<em><u>The area of base is given as:</u></em>

A_{b}=\frac{3 \sqrt{3}}{2} l^{2}

Where "l" is the side of hexagon.

Substituting we get,

\begin{array}{l}{A_{b}=\frac{3 \sqrt{3}}{2}(4)^{2}} \\\\ {=\frac{3 \sqrt{3}}{2} \times 16=3 \sqrt{3} \times 8} \\\\ {A_{b}=24 \sqrt{3}}\end{array}

<em><u>The lateral area is given as:</u></em>

A_{l}=3 b h

Where,

b: base of the triangle

h: height of the triangle

Substituting we get,

\begin{array}{l}{A_{l}=3 \times(4) \times(6)} \\\\ {A_{l}=72}\end{array}

Plugging in the values we found in eqn 1 we get,

A=24 \sqrt{3}+72

A = 113.569 square units

<em><u>Summarizing the results:</u></em>

The total area of pyramid is 113.569 square units approximately

The equation used to find total area of pyramid is Total area = base area + lateral area.

8 0
3 years ago
Locate the point in the complex plane and express the number in polar form.
EleoNora [17]

Answer:

We kindly invite you to see the result in the image attached below.

The number in polar form is z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}.

Step-by-step explanation:

A complex number is represented by elements of the form a + i\,b, for all a, b \in \mathbb{R}. The first part of the sum is the real component of the complex number, whereas the second part of the sum is the imaginary component of the complex number. The real component is located on the horizontal axis and the imaginary component on the vertical axis.

Now we proceed to present the point on the graph: (a = 6, b = 3)  We kindly invite you to see the result in the image attached below.

The polar form of the complex number is defined by:

z = r\cdot e^{i\cdot \theta} (1)

Where:

r - Magnitude of the complex number, dimensionless.

\theta - Direction of the complex number, measured in radians.

The magnitude and the direction of the complex number are defined by the following formulas:

Magnitude

r =\sqrt{a^{2}+b^{2}} (2)

Direction

\theta = \tan^{-1} \frac{b}{a} (3)

If we know that a = 6 and b = 3, then the polar form of the number is:

r =\sqrt{6^{2}+3^{2}}

r = 3\sqrt{5}

\theta = \tan^{-1} \frac{6}{3}

\theta \approx 0.352\pi \, rad

z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}

The number in polar form is z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}.

4 0
3 years ago
19 points Solve for c. 5/4c+12=2
VashaNatasha [74]

Answer:

C= -8

Step-by-step explanation:

I used a calculator

8 0
3 years ago
Read 2 more answers
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