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2 years ago

A potter is creating a design for a red-colored urn. He starts with the design shown on the coordinate grid.

1 answer:

5 0

Given:

the design is to be rotated about the line x = 1 to produce the shape of the urn.

To generate a design for the urn, we need to draw a vertical line at x = 1, this will be our axis of rotation (or the basis for our mirror). We will use the mirror principle in making our design. So we will either draw half the shape of the urn at the left or right side of the axis of rotation.

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A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r

eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

Radius= 1.5 m

Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= $2\pi rh$

Considering, π= 3.14

⇒ lateral surface area of cylinder= $2\times 3.14\times 1.5\times 2.5$

⇒ lateral surface area of cylinder= $23.55 \ m^{2}$

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= $\frac{16500}{23.55} = 700.6369 \approx 701$

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

8 0

2 years ago

Test 24,515 for divisibility by 2, 3, 5, 9, or 10.

lord [1]

Answer:

Step-by-step explanation:

1. When a number is divisible by 2 it must end with even digit 0, 2, 4, 6 or 8.

So the number 24,515 is not divisible by 2.

2. When a number is divisible by 5 it must end with digit 0, or 5.

The number 24,515 ends with 5 so it is divisible by 5.

3. When a number is divisible by 3, the sum of all digits must be divisible by 3.

The sum of all digits of the number 24,515 is 2+4+5+1+5=17. 17 is not divisible by 3, so the number 24,515 is not divisible by 3.

4. When a number is divisible by 9, the sum of all digits must be divisible by 9.

The sum of all digits of the number 24,515 is 2+4+5+1+5=17. 17 is not divisible by 9, so the number 24,515 is not divisible by 9.

5. When a number is divisible by 10 it must end with digit 0.

The number 24,515 ends with 5 so it is not divisible by 10.

8 0

1 year ago

How do you convert 1.42 g/cm^2 to mg/mm^2 Step by Step?

dmitriy555 [2]

In the problem stated,we are asked to convert 1.42 g/cm^2 to mg/mm^2 . From the units given, 1 gram is equal to 1000 milligrams and 1 centimeter is equal to 10 millimeters. We square the second conversion to take consideration of the squaring of cm. in this case, the conversion is 1.42 g/cm2 * (1000 mg/1g)*(1 cm / 10 mm)^2 equal to 14.2 g/mm2

3 0

2 years ago

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. A cereal company claims that th

Dmitrij [34]

Answer:

There is not sufficient evidence to warrant the rejection of the claim that the mean weight of cereal is atleast 14 oz

Step-by-step explanation:

The hypothesis for the test above will be stated as follows :

The claim to be tested is the alternative hypothesis, which is the negation of the Null hypothesis

H0 : μ < 14

H1 : μ ≥ 14

If the Null is rejected, then it means that the company's claim that the mean weight of its cereal being atleast 14 is valid ;

Then it means there is significant evidence to support the stance that the mean weight of cereal in the company's packet is atleast 14 oz.

3 0

1 year ago

Determine the probability of randomly selecting two individuals who are issued exactly two credit cards. [Hint: Are the events

pishuonlain [190]

Answer:

They are dependent because we have to select from people who are given cards.

Step By Step Explanation:

So we'll take away people not given cards first den find the probability of selecting people with cards over the total number of people present .

Probability we'll be equal to = number of people with card(C) two persons/total number of people

Where C represent combination

5 0

2 years ago