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Lemur [1.5K]
3 years ago
5

Answer: (1 point 22. What is the distance around the edge of an object called?

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
8 0
The distance around the edge of an object is called its perimeter.
Harrizon [31]3 years ago
5 0
Perimeter
That’s the answer to the question
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16 percent of 32 million
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16 percent of 32 million is 5.12 million
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Please help me solve this by substitution: <br> y=x+2<br> 3x+3y=6
VikaD [51]

Answer:

x = 0, y = 2

Step-by-step explanation:

  1. solve the equation for x

3x + 3(x + 2) = 6

2. Substitute the given value of x into the simplest equation y= x + 2

y = 0 + 2

3. Solve the equation for y

y= 2

4. The possible solution of the system is the ordered pair ( x, y)

( x, y) = ( 0, 2)

3 0
3 years ago
A heavy rope, 50 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 120 ft high. Approximate the required work by a
Anastasy [175]

Answer:

Exercise (a)

The work done in pulling the rope to the top of the building is 750 lb·ft

Exercise (b)

The work done in pulling half the rope to the top of the building is 562.5 lb·ft

Step-by-step explanation:

Exercise (a)

The given parameters of the rope are;

The length of the rope = 50 ft.

The weight of the rope = 0.6 lb/ft.

The height of the building = 120 ft.

We have;

The work done in pulling a piece of the upper portion, ΔW₁ is given as follows;

ΔW₁ = 0.6Δx·x

The work done for the second half, ΔW₂, is given as follows;

ΔW₂ = 0.6Δx·x + 25×0.6 × 25 =  0.6Δx·x + 375

The total work done, W = W₁ + W₂ = 0.6Δx·x + 0.6Δx·x + 375

∴ We have;

W = 2 \times \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= 2 \times \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 750

The work done in pulling the rope to the top of the building, W = 750 lb·ft

Exercise (b)

The work done in pulling half the rope is given by W₂ as follows;

W_2 =  \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 562.5

The work done in pulling half the rope, W₂ = 562.5 lb·ft

6 0
2 years ago
How many solution does this equation have
eimsori [14]
The equation has 1 solution
4 0
3 years ago
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In the spelling bee contest, Jan answered 6 out of 8 questions correctly, Kara answered 78% of her questions correctly, and Bett
eduard

Answer:

2/5 = 40%

43%

13/19 = 68.4%

Juan

Step-by-step explanation:

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