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OLga [1]
3 years ago
9

What is the answer to 2

Mathematics
2 answers:
nirvana33 [79]3 years ago
8 0
3(2x+1) If you multiply this out, you will get 6x+3. 

A = 4(6x + 3)
A = 4(6x) + 4(3)
A = 24x + 12

The answer is 24x+12.
dolphi86 [110]3 years ago
5 0
Hey there.

As we are looking for the perimeter of the polygon, we should understand the formula for each figure. For #2, we can clearly see that we have a square, which concludes that the perimeter for the figure is going to be 4S ('S' being the length of one side as all sides are equal).

Let's apply this to our problem.
P = 4S;
S = 6x + 3; set this up as an equation.

P = 4(6x + 3); apply the distributive property to the right side of the equation.
P = 4(6x) + 4(3);
P = 24x + 12

As we can see above, the perimeter of the square in problem #2 is going to be 24x + 12. 

I hope this helps!
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Find the surface area and volume of the pyramid. ​
serious [3.7K]

Given:

The figure of a square base pyramid.

To find:

The area of volume of the pyramid.

Solution:

The area of square base is:

B=(side)^2

B=(16)^2

B=256

Area of one triangular side of the pyramid is:

A_1=\dfrac{1}{2}\times base\times height

A_1=\dfrac{1}{2}\times 16\times 13

A_1=104

Now, the total surface area of the pyramid is:

A=B+4A_1

A=256+4(104)

A=256+416

A=672

Therefore, the surface area of the pyramid is 672 square m.

The volume of the pyramid is:

V=\dfrac{1}{3}Bh

Where, B is the base area and h is the vertical height of the pyramid.

Substituting B=256,\ h=6, we get

V=\dfrac{1}{3}(256)(h)

V=(256)(2)

V=512

Therefore, the volume of the pyramid is 512 cubic meters.

Hence the correct option is d.

6 0
2 years ago
Sum of 2 numbers is 36. The larger is 3 more than twice the
maw [93]

Answer:

11

Step-by-step explanation:

so we just make a system of equations:

x+y=36

say that x is the larger and y is the smaller

x-3=2y

so we can combine the equations and solve for x and y

re-arrange x-3=2y to be x=2y+3

x+y=36

x=2y+3

insert the value for x into x into x+y=36

2y+3+y=36

3y+3=36

y=11

now insert that back into x+y=36

11+x=36

x=25

Out of the two numbers x and y, 11 is the smaller number

Hope that helps :)

6 0
2 years ago
The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).
monitta

The <em>resulting</em> point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

<h3>How to determined a resulting point by translation</h3>

In this question we need to determine the new location of a point by using a <em>translation</em> formula. Translations are rigid transformations in which a point is translated on a <em>Cartesian</em> plane. We have the following formula:

P'(x, y) = P(x, y) + (- 5, - 2)     (1)

Where:

  • P(x, y) - Original point
  • P'(x, y) - Resulting point

If we know that P(x, y) = (6, - 1), then the resulting point is:

P'(x, y) = (6, - 1) + (- 5, - 2)

P'(x, y) = (1, - 3)

The <em>resulting</em> point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

To learn more on translations: brainly.com/question/17152175

#SPJ1

6 0
2 years ago
A drug prescription of 45 pills costs $427. 95. If each pill contains 3 mg of medication, what is the cost per milligrams?
Sergeu [11.5K]

Total milligrams

  • 45(3)
  • 135mg

COST PER MG:-

  • TOTAL COST/total Mg
  • 427.95/135
  • 3.17$/pills
6 0
2 years ago
Read 2 more answers
a point on a perpendicular bisector is 7cm from each endpoint of the bisected segment and 5cm from the point of intersection. Wh
love history [14]

9514 1404 393

Answer:

  about 9.80 cm

Step-by-step explanation:

The length of half the segment (h) can be found from the Pythagorean theorem:

  h² +5² = 7²

  h² = 7² -5² = 49 -25 = 24

  h = √24 = 2√6

This is half the segment length, so the whole segment length is ...

  L = 2h = 2(2√6)

  L = 4√6 ≈ 9.7980

The length of the segment is 4√6 ≈ 9.80 cm.

8 0
3 years ago
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