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3 years ago

Can I please have some help.?

Mathematics

1 answer:

SashulF [63]3 years ago

8 0

check the picture below.

we know the perimeter is 28, the values we know are 4, 2 and 3.

the right-side of the figure, is just 4 + 2, therefore 6.

the bottom-right side of the figure, is just a mirror length of above, therefore 3.

the other two lengths, are twins, and since if we pluck out the values from the perimeter, we have

28 - 4 - 2 - 3 - 6 - 3 = 20.

since the last two lengths are twins, then each one is 20/10 or 10, as you see there in the picture.

now, we can get the full are of the figure, because is just two rectangles, as you see there, so the area is just

(4*10) + (3*6), namely 58.

notice, the figure there, has two triangles.

one on the left-hand-side, has a base of (10+3) and a height of 4.

the other triangle on the right-hand-side has a base of 3, and a height of 6.

we can just get the area of both triangles, and then subtract them from the total area of the figure, what's leftover, is the shaded section.

$\bf \stackrel{\textit{total area}}{58}~~-~~\stackrel{\textit{left triangle area}}{\cfrac{1}{2}(13)(4)}~~-~~\stackrel{\textit{right triangle area}}{\cfrac{1}{2}(3)(6)}
\\\\\\
58~~-~~26~~-~~9\implies \boxed{23}$

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Answer:

The equation will be: $3s+5t=779$

Step-by-step explanation:

The number of student tickets that were sold $=s$

and the number of other tickets that were sold $=t$

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So, the total cost of $s$ student tickets $=\$3s$ and the total cost of $t$ other tickets $=\$5t$

Given that, the drama club sold total $779 worth of tickets.

So, the equation will be: $3s+5t=779$

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Answer:

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Step-by-step explanation:

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Answer/Step-by-step explanation:

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

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Since when we combine functions in composition to make a new function, sometimes we

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f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)

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When composing functions we do the same thing but instead of plugging in numbers we are

plugging in whole functions. For example let’s look at the following problems below:

Examples

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f(x) = 3x + 4 (6)

g(x) = x

2 +

(7)

When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

2 +

(8)

f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

2 +

) = 3(x

2 +

) + 4 (12)

f(x

2 +

) = 3x

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+ 4 (13)

Thus, (f ◦ g)(x) = f(g(x)) = 3x

2 +

x + 4.

Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but

with one extra step.

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h(x) = 2x (16)

(17)

We wish to find f(g(h(x))). We will first find g(h(x)).

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g( ) = ( )2 + 2( ) (19)

g(h(x)) = (h(x))2 + 2(h(x)) (20)

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g(2x) = 4x

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f( ) = 2( ) (24)

f(g(h(x))) = 2(g(h(x))) (25)

f(4x

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f(4x

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Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x

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You can answer this question in numerous ways but one simple way is by multiplying fractions.

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To do this, you multiply the numerator (the top number) by the other numerator. That is, 2 x 24 . The answer is 48. 

Then, multiply the denominators (the bottom numbers) by each other. That is, 3 x 1. The answer is 3. 

The answer is 48/3. But you must continue simplifying. 

What is 48 divided by 3? 16. 

If you do not understand it that way, think of it in a simpler way. 

Say there are 24 slices of pieces. 

What is one third of those 24 slices? 

24 divided by 3 = 8. 

Now you want TWO thirds. So all you do is multiply 8 by 2. 

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