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2 years ago

8

Look at this set of ordered pairs:

1 answer:

OverLord2011 [107]2 years ago

5 0

I think it is not maybe i’m wrong

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Find the surface area of the composite figure.

ELEN [110]

Answer:

$644cm^2$

Step-by-step explanation:

First we'll work out the surface area of the pink figure.

That's the area of the two 5 by 6 rectangles on the top and bottom, plus the area of the two 5 by 20 and two 6 by 20 rectangles on the sides.

However, we note that the purple figure is blocking out a 6 by 12 section on the pink figure, so we'll need to subtract this.

The above works out to $2\times(30+100+120)-72=428 cm^2$ .

Then we'll work out the surface area of the purple figure.

This will be the area of the two 4 by 6 rectangles at the top and bottom, plus the area of the two 4 by 12 and one 6 by 12 rectangles on the sides. Note that there's only one 6 by 12 rectangle because the other face is joined to the pink figure, so it's blocked out.

That's $2\times(24+48)+72=216cm^2$ .

So the total surface area is $428+216=644cm^2$ .

6 0

1 year ago

Select the simplification that accurately explains the following statement.

lutik1710 [3]

Answer:

Option (b) is correct.

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2$

Step-by-step explanation:

Given: $(2^\frac{1}{4} )^4$

We have too choose the correct simplification for the given statement.

Consider $(2^\frac{1}{4} )^4$

Using property of exponents, $(a^m)^n=a^m\times a^m\times a^m\times ....\times (n\ times)$

We have,

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}$

Again applying property of exponents $a^m\times a^m=a^{n+m}$

We have,

$(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}$

Simplify, we have,

$(2^\frac{1}{4} )^4=2^{\frac{4}{4}}$

we get,

$(2^\frac{1}{4} )^4=2^{1}=2$

Thus, $(2^\frac{1}{4} )^4=2$

Option (b) is correct.

8 0

3 years ago

Read 2 more answers

Adding and subtracting functions g(x) = 2x f (x) = −2x^3 + 2x Find g(x) + f (x)

Andrei [34K]

Answer:

-2x³+4x

Step-by-step explanation:

g(x) + f(x)

(2x) + (-2x³+2x)

-2x³+4x

5 0

2 years ago

Which fraction and decimal forms match the long division problem?

tensa zangetsu [6.8K]

Answer:

C would be the correct answer. :D

7 0

2 years ago

Find the value of x.

castortr0y [4]

The angle x has a measure of 110 degrees

<h3>How to determine the value of x?</h3>

From the question, we have the triangle shape that can be used in our computation:

On the triangle, the external angles are

x, 140 and 110

These angles are on the same straight line with their corresponding internal angles

By the angle on a straight line theorem, we have the internal angles to be

180 - x, 180 - 140 and 180 - 110

The sum of these angles is 180

So, we have

180 - x + 180 - 140 + 180 - 110 = 180

Evaluate

x = 110

Hence, the value of x is 110 degrees

Read more about angles at

brainly.com/question/7620723

#SPJ1

4 0

10 months ago