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3 years ago

What is the surface area of the rectangular prism below?

Mathematics

1 answer:

statuscvo [17]3 years ago

4 0

Answe: there is no pic

Step-by-step explanation:

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Yes, it is correct

alexgriva [62]

Answer:In Heather's solution to the problem, she wrote and solved an equation.

Her work is:

Step 1: 1.08(x +9.01 +0.98 +5.01) = 21.87

Solving like terms

1.08(x+15}=21.87

dividing both side by 1.08

we get

x+15=21.87/1.08

x+15=20.25

subtracting both side by 13.9198

x=20.25-15

x=5.25

According to correction

;

Option 1st

yes,it is correct

7 0

3 years ago

The formula for the volume of a pyramid is

Sergeeva-Olga [200]

Answer: C and D

Step-by-step explanation:I just did it my bad for the late response.

4 0

3 years ago

What is the square root of -2i?

Studentka2010 [4]

Answer:

1-i and -1+i

Step-by-step explanation:

We are to find the square roots of $z=0-2i$ . First, convert from Cartesian to polar form:

$r=\sqrt{a^2+b^2}\\r=\sqrt{0^2+(-2)^2}\\r=\sqrt{0+4}\\r=\sqrt{4}\\r=2$

$\theta=tan^{-1}(\frac{b}{a})\\ \theta=tan^{-1}(\frac{-2}{0})\\\theta=\frac{3\pi}{2}$

$z=2(\cos\frac{3\pi}{2}+i\sin\frac{3\pi}{2})$

Next, use the formula $\displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr]$ where $\displaystyle k=0,1,2,...\:,n-1$ to find the square roots:

When k=1

$\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(1)}{2}\biggr)\biggr]$

$\displaystyle \sqrt{2}\biggr[cis\biggr(\frac{3\pi}{4}+\pi\biggr)\biggr]$

$\sqrt{2}\biggr(cis\frac{7\pi}{4}\biggr)$

$\sqrt{2}(\cos\frac{7\pi}{4}+i\sin\frac{7\pi}{4})\\ \\\sqrt{2}(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i)\\ \\1-i$

When k=0

$\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr]$

$\sqrt{2}\biggr(cis\frac{3\pi}{4}\biggr)$

$\sqrt{2}(\cos\frac{3\pi}{4}+i\sin\frac{3\pi}{4})\\ \\\sqrt{2}(-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\-1+i$

Thus, the square roots of -2i are 1-i and -1+i

4 0

2 years ago

A sphere has a volume of 36 (3.14) cm cube. what is the diameter of the sphere

Serga [27]

Answer:

<h2>Diameter = 6 cm</h2>

Step-by-step explanation:

The formula of a volume of a sphere:

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

We have V = 36(3.14) cm³ = V = 36π cm³. Substitute:

$\dfrac{4}{3}\pi R^3=36\pi$ divide both sides by π

$\dfrac{4}{3}R^3=36$ multiply both sides by 3

$4R^3=108$ divide both sides by 4

$R^3=27\to R=\sqrt[3]{27}\\\\R=3\ cm$

The diameter D = 2R.

Therefore D = 2(3 cm) = 6cm

3 0

3 years ago

If any of you guys can help it would be greatly appreciated this is due tomorrow

alexgriva [62]

Answer:

x =4

Step-by-step explanation:

7 0

3 years ago