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3 years ago

I’ll put branliesttt plz help

Mathematics

1 answer:

Yuki888 [10]3 years ago

5 0

Answer:

448.25(2dp)

Step-by-step explanation:

1. Find the are of the entire rectangle:

length x breadth = 38 x 28 = 1064mm^2

2. Find the area of one semicircle

( $\pi$ r^2) divided by 2 =( $\pi$ x 14^2)divided by 2 = 98 $\pi$ = 307.8760801... = 307.88 mm^2

3. Multiply the area by 2

307.88 x 2 = 615.75 mm^2. [ The sum of areas of 2 semicicles]

4. Subtract the area of the 2 semicircles from the area rectangle

1064-615.75 = 448.25 (2dp)

Hope this helps

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Due Today, Please help me.

Vsevolod [243]

Answer:

Yes, SAS.

Step-by-step explanation:

For my education system, there isn't such thing as SAS, ASA or etc. I just had to search it up what it was.

Congruent angles are angles with the same shape and size. The two triangles are congruent if you look carefully, after that I searched up and saw the different rules of triangles. I think that SAS might be the correct answer.

6 0

3 years ago

For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th

alexira [117]

Answer:

The inner function is $h(x)=4x^2 + 8$ and the outer function is $g(x)=3x^5$ .

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

Step-by-step explanation:

A composite function can be written as $g(h(x))$ , where $h$ and $g$ are basic functions.

For the function $f(x)=3(4x^2+8)^5$ .

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have $4x^2+8$ inside parentheses. So $h(x)=4x^2 + 8$ is the inner function and the outer function is $g(x)=3x^5$ .

The chain rule says:

$\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)$

It tells us how to differentiate composite functions.

The function $f(x)=3(4x^2+8)^5$ is the composition, $g(h(x))$ , of

outside function: $g(x)=3x^5$

inside function: $h(x)=4x^2 + 8$

The derivative of this is computed as

$\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4$