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3 years ago

Please Help!! :)

Mathematics

1 answer:

castortr0y [4]3 years ago

4 0

Answer:

"If the shape is not a rectangle, then the shape doesn't has four sides."

Step-by-step explanation:

Given conditional statement is,

" Is a shape has four sides, then the shape is a rectangle."

Here we have two statements:

Statement p → A shape has four sides

Statement q → The shape is a rectangle.

Contrapositive of the statement will be:

If $\sim q$ then $\sim p$ .

Therefore, contrapositive will be,

"If the shape is not a rectangle, then the shape doesn't has four sides."

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Work out the surface area of this solid prism.

alexandr1967 [171]

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

5 0

2 years ago

(F x G)(x)<br> F(G(x))<br> G[F(x)]<br> F[G(x)]<br> G(F(x))

pentagon [3]

The results of the composite functions are:

$(f \times g)(x) = 6x^2-9x$

$f(g(x)) = 6x - 3$

$g(f(x)) = 6x - 9$

<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

$f(x) = 2x - 3$

$g(x) = 3x$

Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

$(f \times g)(x) = f(x) \times g(x)$

$(f \times g)(x) = (2x-3) \times (3x)$

$(f \times g)(x) = 6x^2-9x$

<h3>Function f(g(x))</h3>

We have: $f(x) = 2x - 3$

This gives

$f(g(x)) = 2g(x) - 3$

So, we have:

$f(g(x)) = 2(3x) - 3$

$f(g(x)) = 6x - 3$

<h3>Function g(f(x))</h3>

We have: $g(x) = 3x$

This gives

$g(f(x)) = 3f(x)$

So, we have:

$g(f(x)) = 3(2x - 3)$

$g(f(x)) = 6x - 9$

Read more about composite functions at:

brainly.com/question/10687170

4 0

2 years ago

WHOEVER ANSWERS THE QUESTION FIRST WILL GET 15 POINTS!!!!!

nevsk [136]

Answer:

Step-by-step explanation:

the answer is b

in the problem you can put the expression into a calculator and you will get the answer 3

in option b, y+2=3 bc a variable is always equal to one so your basically adding 1+2 which is equal to 3

I HOPE I HELPED A BIT<3

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2 years ago

Find the product of (-4+11i)(-5-8i)

Ludmilka [50]

20+32i-55i+88
108-23i

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3 years ago

17. If the following fractions were converted to decimals, which one would result in a repeating decimal?

ryzh [129]

Answer:

A.5/11

Semoga membantu

3 0

2 years ago