All categories

3 years ago

What is this expression in simplified form? (v22)(5v2)

Mathematics

1 answer:

elixir [45]3 years ago

3 0

Answer:

5v24

Step-by-step explanation:

(v22)(5v2) = 5v(2+22) = 5v24

You might be interested in

What is the volume of a pyramid 4 cm,4 cm by 12 cm

Alenkinab [10]

Answer:

The volume of pyramid with dimensions 4cm , 4cm by 12cm is $\bold{64 \mathrm{cm}^{3}}$

Solution:

Volume of a pyramid can be found out by using the below formula,

$\bold{v = \frac{1}{3} l w h}$

where,

v is the volume of pyramid

l is the length of pyramid

w is the width of pyramid

h is the height of pyramid

from question, given that l = 4 ; w = 4; h = 12

hence the volume of pyramid for the given dimensions is

$v = \frac{1}{3} \times 4 \times 4 \times 12$

$= 4 \times 4 \times 4$

$= 64 \mathrm{cm}^{3}$

So the volume of pyramid is $\bold{64 \mathrm{cm}^{3}}$

3 0

3 years ago

Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ>0

eduard

If you're using the app, try seeing this answer through your browser: brainly.com/question/2787701

_______________

$\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\
\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}$

Square both sides:

$\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}$

$\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
\mathsf{17\,sin^2\,\theta=1}\\\\
\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}$

Since $\mathsf{sin\,\theta}$ is positive, you can discard the negative sign. So,

$\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}$

Substitute this value back into $\mathsf{(i)}$ to find $\mathsf{cos\,\theta:}$

$\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}$

I hope this helps. =)

Tags: trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus

7 0

3 years ago

If one bottle of soda costs .99, how much do three bottles cost? how much do they cost with 5% tax added on?

bija089 [108]

3 sodas cost $2.97 +.15 tax total $3.12

8 0

3 years ago

How do I fill out this Table?

kap26 [50]

Answer:

Step-by-step explanation:

3 0

3 years ago

Simplify: (–7x – 5x4 + 5) – (–9x4 – 5 – 9x). 4x4 + 2x + 2 + 10 –16x4 + 8x + 10 –16x4 – 8x 4x4 + 2x + 10

fenix001 [56]

Answer:

=−4.4x^8+3.6x^5−35x^4+5x+37

Step-by-step explanation:

please mark me brainliest!

5 0

3 years ago

What is this expression in simplified form? (v22)(5v2)​

What is this expression in simplified form? (v22)(5v2)