In the formula I=PRT, what is the value of T?

The solids are similar. Find the surface area of the red solid.

alisha [4.7K]

Answer:

756

Step-by-step explanation:

The ratio of areas is the square of the scale factor.

First, we find the scale factor from the blue solid to the red solid.

scale factor = 6/4 = 3/2

The ratio of areas is the square of the scale factor:

ratio of areas = (3/2)^2 = 9/4

volume of red solid = volume of blue solid * ratio of areas

volume of red solid = 336 m^2 * 9/4 = 756 m^2

Answer: S = 756 m^2

8 0

3 years ago

Find , , and if and terminates in quadrant .

ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

,

• cos2x

,

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

$\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}$ $\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}$

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

$\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})$ $=\frac{12}{13}$

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

$\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\ \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}$

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

$\tan 2x=\frac{2\tan x}{1-\tan ^2x}$ $=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}$ $=\frac{\frac{4}{3}}{1-\frac{4}{9}}$ $=\frac{\frac{4}{3}}{\frac{9-4}{9}}$ $=\frac{\frac{4}{3}}{\frac{5}{9}}$ $=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}$

OR

$\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{\frac{5}{13}}=\frac{12}{5}$

Hence, tan2x = 12/5

Therefore,

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

3 0

1 year ago

Help! What does 2 divided by 9 tenths

Serga [27]

I got 0.45

Good luck!

6 0

3 years ago

Read 2 more answers

Consider the matrix. What is the value of |C|?

garri49 [273]

Answer:

-3

Step-by-step explanation:

6 0

3 years ago

Im in need of help so please help[ :)))

const2013 [10]

Given:

Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule $(x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)$ to create pentagon M'V'E'D'R'.

To find:

The correct statement.

Solution:

If a figure dilated by factor k, then the rule of dilation is

$(x,y)\to (kx,ky)$

Here,

If k>1, then the image is larger than the original figure.

If k<1, then the image is smaller than the original figure.

We have,

$(x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)$

Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is

$k=\dfrac{2}{3}$

Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.

Therefore, the correct option is B.

4 0

3 years ago