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2 years ago

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Mathematics

1 answer:

gladu [14]2 years ago

3 0

Answer:

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A 31-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third

Nostrana [21]

Answer:

The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.

Step-by-step explanation:

Total length of the steel = 31 inches

Let the length of the first piece = x

let the length of the second piece = y

Let the length of the third piece = z

So,

y = 2x

z = 4x + 3

x + 2x + 4x +3 = total length of the steel = 31

7x + 3 + 31

7x = 31 - 3

7x = 28

x= 4 inches

Thus; y = 2x = 2 × 4 = 8 inches

z = 4x +3 = 4×4 +3 =19 inches

∴The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.

6 0

3 years ago

Read 2 more answers

PLEASE HELP 25 POINTS!!!

miss Akunina [59]

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

$\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}$

Identify following

a1 = 2

r = 1/2

Solve:

$\rightarrow \sf S \infty \ =2 \ x \ \dfrac{1}{1-\frac{1}{2} }$

$\rightarrow \sf S \infty \ =4$

The sum of this infinity series is 4

5 0

2 years ago

What data set is not represented by the histogram shows?

aliina [53]

Answer:

could you please ask this in English

8 0

3 years ago

An angle measures 74 more than the measure of its complementary angle. what is the measure of each angle?

garik1379 [7]

Answer:

8, 82

Step-by-step explanation:

Let x = angle measure

y = complement

y = x+74

Complements add to 90

x+y = 90

Substitute y = x+74 into the equation

x+ x+74 = 90

Combine like terms

2x+74 = 90

Subtract 74 from each side

2x+74-74 = 90-74

2x = 16

Divide by 2

2x/2 = 16/2

x=8

The first angle is 8

8+74 = 82

The other angle is 82

8 0

3 years ago

An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir

finlep [7]

Answer:

The area of the copper circle is <u>31.4 inches</u>.

Step-by-step explanation:

Given:

An artist used silver wire to make a square that has a perimeter of 40 inches.

She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.

Use 3.14 to represent π.

Now, to find the area of the copper circle.

Perimeter of square = 40 inches.

So, we get the side of square by putting formula:

$Perimeter=4\times side$

$40=4\times side$

Dividing both sides by 4 we get:

$10=side.$

$Side=10\ inches.$

Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:

For getting the area of circle we find the radius:

Radius (r) = $\frac{Diameter}{2} \\=\frac{10}{2}= 5\ inches.$

Now, putting the formula to get the area of the circle:

$Area=2\times \pi \times r$

$Area=2\times 3.14\times 5$

$Area=31.4\ inches.$

Therefore, the area of the copper circle is 31.4 inches.

6 0

3 years ago

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