The base of the prism is a 3:4:5 right triangle.
One of the legs is its base and the other is its height. (The longest side is the hypotenuse!)

The area of the triangular base is bh/2 = (9)(12) / 2. There are two of these.
There are also three rectangular sides on the prism.
Their dimensions are 9 by 20, 12 by 20, and 15 by 20.

You can do the arithmetic from here.
And the answer is 828cm ^2

6 0

3 years ago

Read 2 more answers

Prove the following identity sin x(sec x+cscx)= tan x +1

Alexxandr [17]

Answer:

Step-by-step explanation:

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FACTS TO KNOW BEFORE SOLVING :-

$\sin x = \frac{1}{cosec \: x} \: \: or \: \: cosex \: x = \frac{1}{\sin x}$

$\cos x = \frac{1}{\sec x} \: \:or \: \: \sec x = \frac{1}{\cos x}$

$\tan x = \frac{\sin x}{\cos x}$

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In the question ,

L.H.S. = $\sin x (\sec x + cosec \: x)$

R.H.S. = $\tan x + 1$

Lets solve L.H.S. first.

$\sin x (\sec x + cosec \: x)$

$=> \sin x( \frac{1}{\cos x} + \frac{1}{\sin x} )$

$=> \frac{\sin x}{\cos x} + \frac{\sin x}{\sin x}$

$=> \tan x + 1$

∴ L.H.S. = R.H.S. (Proved)

3 0

3 years ago

a high school student works two summer jobs . One at a coffee shop and one at a grocery store. The coffee shop pays 10$ an hour

Lostsunrise [7]

That's $600....so....he needs 200 more
..he'll need to work 3 hours at the grocery store...giving him a total of =252......and $852 gives him 52 extra dollars :)

3 0

3 years ago