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2 years ago

PLEASE HELP, I NEED THE ANSWERS ASAP, I WILL AWARD BRAINLIEST!

Mathematics

1 answer:

Georgia [21]2 years ago

8 0

Answer:

1. The larger number is 2x + 7. The smaller number is x.

Let x be the smaller number

(7 + 2x) + x = 43

Since they are all in addition, we can get rid of the parenthesis.

7 + 2x + x = 43

2x and x are similar variables, we can add them both together.

7 + 3x = 43

7 + (-7) + 3x = 43 + (-7)

3x = 36

3x/3 = 36/3

x = 12

Let's check

[7 + 2(12)] + 12

(7 + 24) + 12

31 + 12 = 43

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What is the surface area of this composite solid?______________ square feet 242 319 363 517

jeka57 [31]

Answer:

<h2>The right answer is 415.4 cubic feet.</h2>

Step-by-step explanation:

As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.

We need to find the volum of each part separately.

<h3> Square prism.</h3>

$V_{prims}=11 \times 11 \times 2=242 \ ft^{3}$

<h3>Square pyramid.</h3>

First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.

Let's use Pythagorean's Theorem to find the height of the pyramid.

$7^{2}=h^{2} +(5.5)^{2}\\ 49-30.25=h^{2}\\ h=\sqrt{18.75} \approx 4.3$

The height is 4.3 feet, approximately.

Now, we find the volume of the pyramid

$V_{pyramid}=\frac{1}{3}(11 \times 11 \times 4.3) \approx 173.4ft^{3}$

The sum of both figures represents the total volume of the composite figure

$V_{total}=242+173.4=415.4ft^{3}$

Therefore, the right answer is 415.4 cubic feet.

3 0

2 years ago

Read 2 more answers

What is 4.16 repeating as a fraction

strojnjashka [21]

4.16=416/100
416/100=4•104/4•25
=104/25
4.16=104/25

8 0

3 years ago

Read 2 more answers

elise gets a free tax allowance of $6000 and pays tax at 25% on the next $20 000. she pays tax at a raye of 30% on the rest. if

Likurg_2 [28]

Answer:

Step-by-step explanation:

i know because im not g.a.y like u guys

4 0

2 years ago

How do you simplify 7 (2x+10) thanks in advance

kramer

The only thing you should do is to multiply 7 by 2x and 10.
so you will have: (7*2x) + (7*10) = 14x + 70 :)))
i hope this is helpful
have a nice day

5 0

3 years ago

Plz plz plz help me with this

AnnZ [28]

Answer:

m∠A = 65°

Step-by-step explanation:

<em>Opposite angles of the quadrilateral add up to 180</em>.

This means x + 148 = 180 -> <em>x = 32</em>.

m∠A = 2x + 1 -> 2(32) + 1

m∠A = 65°.

4 0

2 years ago