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3 years ago

Prove that this question:.

Mathematics

1 answer:

Vikki [24]3 years ago

8 0

This follows directly from the double angle identity for cosine and the Pythagorean identity:

$\cos2\theta=\cos^2\theta-\sin^2\theta=\begin{cases}2\cos^2\theta-1\\1-2\sin^2\theta\end{cases}$

So we have

$\dfrac{1-2\sin^2\theta}{2\cos^2\theta-1}=\dfrac{\cos2\theta}{\cos2\theta}=1$

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Yesterday 96 people attended the school band concert, and 3/4 of them stayed for the cookies and punch. How many people stayed f

kupik [55]

72 people stayed, because 96 ÷ 4 = 24, and 24 * 3 is 72.

6 0

3 years ago

(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

3 years ago

00:57

prisoha [69]

<h3>Given:</h3>

h= 19 ft
r= 12 ft

h= Height
r= Radius

The volume of the given cone.

<h3>Solution:</h3>

$\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}$

$\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}$

Let's solve!

Substitute the values according to the formula.

$V=\frac{1}{3}×3.14×{12}^{2}×19$

$\large\boxed{V=2863.68 \: {ft}^{3}}$

Therefore, the volume of the given cone is 2863.68 cubic feets.

5 0

2 years ago

The coordinate of point T are (0,6). The midpoint of ST is (1,-2). Find the coordinates of point S

enot [183]

Answer:

-1, 12 I believe

Step-by-step explanation:

find the distance between the two given plots and do the opposite to find your answer

3 0

2 years ago

What is the remainder when the polynomial 6x^2 + 11x - 3 is divided by x + 2?

Firlakuza [10]

Answer:

Same

Step-by-step explanation:

Same tayo ng question

4 0

3 years ago

Prove that this question:.​

Prove that this question:.