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Svet_ta [14]
2 years ago
15

The penny size of a nail indicates the length of the nail. The penny size d

Mathematics
1 answer:
Korvikt [17]2 years ago
6 0

By working with the given linear equation we will see that:

a) n = (d + 2)/4

b)

  • A 3-penny nail is_5/4_inches.
  • A 6-penny nail is_2_inches.
  • A 10-penny nail is_3_inches.

<h3>How to solve the equation for n?</h3>

Here we have the linear equation:

d = 4n - 2

We want to solve it for n, it means that we need to isolate n in one side of the equation.

If we first add 2 in both sides of the equation, and then we divide both sides by 4, we will get:

d + 2 = 4n

(d + 2)/4 = n

That is the equation solved for n.

b) The penny size is d, and n is the length of the nail, then:

if d = 3, we have:

n = (3 + 2)/4 = 5/4

if d = 6, then:

n = (6 + 2)/4 = 2

if d = 10, then:

n = (10 + 2)/4 = 3

Thus:

  • A 3-penny nail is_5/4_inches.
  • A 6-penny nail is_2_inches.
  • A 10-penny nail is_3_inches.

if you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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Please help me with the problem above I’ll give brainliest to whoever is correct thank you!
Juliette [100K]

Answer:

Explicit formula: y=3x+11

How tall will the plant be after 6 months? 29 inches

Step-by-step explanation:

Since it grows 3 inches per month, the slope would be 3, and since Gianna planted it when it was 11 inches already, the y-intercept would be 11.

plug in 6 for x (for 6 months): 3(6)+11=29

6 0
3 years ago
Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the l
marishachu [46]

Answer:

The difference between area of pyramids is 125 sq.m.

Step-by-step explanation:

Length of base = 10m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid = \frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10

Area of pyramid = 400 sq.m.

Now the length of base is increased to 15

Length of base = 15m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid =\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10

Area of new pyramid = 525 sq.m.

Difference between area of pyramids=525 sq.m. - 400 sq.,. = 125 sq.m.

Hence The difference between area of pyramids is 125 sq.m.

4 0
4 years ago
Factor: 3x4 + 9x3 -30x2
sleet_krkn [62]

Answer:

3x²(x - 2)(x + 5)

Step-by-step explanation:

Step 1: Factor GCF

3x²(x² + 3x - 10)

Step 2: Factor Quadratic

3x²(x - 2)(x + 5)

6 0
3 years ago
Read 2 more answers
Solve the triangle.
vekshin1

9514 1404 393

Answer:

  • b = 757.7 m
  • A = 17.2°
  • C = 14.3°

Step-by-step explanation:

From the law of cosines, you can find the length of side b to be ...

  b = √(a² +c² -2ac·cos(B))

  b = √(184041 +128164 -307164cos(148.5°)) ≈ √574105.36

  b ≈ 757.7

__

From the law of sines, you can find the measure of angle C to be ...

  C = arcsin(c/b·sin(B))

  C ≈ arcsin(358/757.7·sin(148.5°)) ≈ arcsin(0.246872)

  C ≈ 14.3°

  A = 180° -148.5° -14.3°

  A = 17.2°

_____

Some graphing calculators have built-in triangle-solving functions. Apps are available for the purpose for phone or tablet. The screenshot shows a web site that does a nice job of solving the triangle.

8 0
3 years ago
Helppp me pleaseeeeeee
Mazyrski [523]
They’re equal to one another.
4 0
3 years ago
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