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2 years ago

Jackie says that if a solid figure cannot roll then it has faces. is jackie correct?

Mathematics

2 answers:

zlopas [31]2 years ago

5 0

Yes Jackie is correct

Karolina [17]2 years ago

4 0

Answer: No, Jackie is incorrect.

Step-by-step explanation:

Assume Jackie's statement true that "if a solid figure cannot roll then it has faces."

But there are two solid figures cylinder which has 3 faces (1 curved and 2 base faces) and cone which has 2 faces (1 curved and 1 base face), and both cylinder and cone can roll.

Thus it does not mean that if a solid shape can not roll then it has faces.

Cylinder and cone are solid figures which can roll and faces.

Therefore, Jackie is incorrect.

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The hourly wage increases each employee receives each year depends on the number of years of service. Every three years of servi

11Alexandr11 [23.1K]

Answer:

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

Step-by-step explanation:

Given the information above :

Less than Employees = $0.5 increase per hour

Atleast 3 but less than 6 years employees = $1.00 increase per hour

Atleast 6 but less than 9 years employees = $1.50 increase per hour

Atleast 9 but less than 12 years employees = $2.00 increase per hour

The information above can be written as a piecewise function :

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

The constraints is represented in the piecewise function above with x being the number of years since employee has been in service.

6 0

2 years ago

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can

kozerog [31]

Answer: Our required model is $n=1250000(1.15)^t$

Step-by-step explanation:

Since we have given that

Number of toys = 1,250,00

Every year is expected to increase by about 150% pr year.

So, initial value = 1250,000

Rate of change = 150%

Let the number of time = t years.

So, we will use "Compound interest":

$n=P(1+\dfrac{r}{100})^t\\\\n=1250000(1+\dfrac{150}{100})^t\\\\n=1250000(1+1.50)^t\\\\n=1250000(1.15)^t$

Hence, our required model is $n=1250000(1.15)^t$

6 0

1 year ago

Read 2 more answers

injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and ri

diamong [38]

Answer:

The length of the track is approximately 51.7 ft

The track has three sides of the square and the distance round a half of a complete circle

Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track = Square

The shape on the right side of the track = Half circle

The area of the square on the the left side of the track = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

Therefore;

The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

Which gives;

The track has three sides of the square and the distance round a half of a complete circle.

5 0

2 years ago

Dont go on bit. ly/3a8Nt8n (virus warning)

vlada-n [284]

Okay! thank you so much for the awarness!

8 0

2 years ago