answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mkey [24]
1 year ago
14

A circle rolls once, without slipping, along the outside of a square with sides of length 4 inches, and returns to its starting

point at A. The radius of the circle is 1 inch. To the nearest hundredth of an inch. how far does the center of the circle travel? (Use 3.14 for pi)
PLS PLS HELP. And show work and explain!

Mathematics
1 answer:
pentagon [3]1 year ago
3 0

Answer:

16 inches

Step-by-step explanation:

You might be interested in
A book has 89 pages, but the page numbers are printed incorrectly. Every third page number has been omitted, so that the pages a
Sphinxa [80]

Answer:

89

Step-by-step explanation:

There are only 30 pages but last page number is 89.

8 0
2 years ago
Which expression is equivalent to x Superscript negative five-thirds? StartFraction 1 Over RootIndex 5 StartRoot x cubed EndRoot
Anastasy [175]

Option B : \frac{1}{\sqrt[3]{x^{5} } } is the expression equivalent to x^{-\frac{5}{3}

Explanation:

The given expression is x^{-\frac{5}{3}

Rewriting the expression x^{-\frac{5}{3} using the exponent rule, $a^{-b}=\frac{1}{a^{b}}$

Hence, we get,

\frac{1}{x^{\frac{5}{3} } }

Simplifying, we get,

\frac{1}{\left(x^{5}\right)^{\frac{1}{3}}}

Applying the rule, a^{\frac{1}{n}}=\sqrt[n]{a}

Thus, we have,

\frac{1}{\sqrt[3]{x^{5} } }

Now, we shall determine from the options that which expression is equivalent to x^{-\frac{5}{3}

Option A: \frac{1}{\sqrt[5]{x^{3} } }

The expression \frac{1}{\sqrt[5]{x^{3} } } is not equivalent to simplified expression  \frac{1}{\sqrt[3]{x^{5} } }

Thus, the expression \frac{1}{\sqrt[5]{x^{3} } } is not equivalent to x^{-\frac{5}{3}

Hence, Option A is not the correct answer.

Option B: \frac{1}{\sqrt[3]{x^{5} } }

The expression \frac{1}{\sqrt[3]{x^{5} } } is equivalent to the simplified expression  \frac{1}{\sqrt[3]{x^{5} } }

Thus, the expression \frac{1}{\sqrt[3]{x^{5} } } is equivalent to x^{-\frac{5}{3}

Hence, Option B is the correct answer.

Option C: -\sqrt[3]{x^5}

The expression -\sqrt[3]{x^5} is not equivalent to the simplified expression \frac{1}{\sqrt[3]{x^{5} } }

Thus, the expression -\sqrt[3]{x^5} is not equivalent to x^{-\frac{5}{3}

Hence, Option C is not the correct answer.

Option D: -\sqrt[5]{x^3}

The expression -\sqrt[5]{x^3} is not equivalent to the simplified expression \frac{1}{\sqrt[3]{x^{5} } }

Thus, the expression -\sqrt[5]{x^3} is not equivalent to x^{-\frac{5}{3}

Hence, Option D is not the correct answer.

4 0
2 years ago
Read 2 more answers
A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a lar
Alexxx [7]

Answer:

The answer is 390 × pi.

Step-by-step explanation:

Big cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 9^2 x 15

= 1272.3 cubic inches

Small cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 3^2 x 5

= 47.1 cubic inches  

1272.3 - 47.1 = 1225.2 cubic inches

1272/3.14 ≈ 390

The answer is 390 × pi.

4 0
2 years ago
Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?
Debora [2.8K]

Option A

2x^2(6x-1) + 3(6x-1) is one way to determine the factors of 12x^3-2x^2+18x-3 by grouping

<em><u>Solution:</u></em>

Factoring by grouping means that you will group terms with common factors before factoring

<em><u>Given expression is:</u></em>

12x^3-2x^2+18x-3

Group the first two terms together and then the last two terms together.

(12x^3-2x^2)+(18x-3)

We can see that 2x^2 is common in first two terms

And 3 is common in last two terms

Factor them out

(12x^3-2x^2)+(18x-3) = 2x^2(6x-1) + 3(6x-1)

2x^2(6x-1) + 3(6x-1)

Thus option A is correct

6 0
2 years ago
Read 2 more answers
Estimate how many 12 inch rulers will be about the same length as a bike
navik [9.2K]

Answer:

So that means length of the bike is approx 5.7 rulers.

Step-by-step explanation:

the question says to estimate how many 12-inch rulers will be about the same length as a bike. In other words we have to measure the length of bike by in terms of ruler like 3 ruler length or 5 rular length etc.

Type of bike is not mentioned so i'm going to use bicyle.

From internet I found that approx lenght of a bike ( bicycle) is = 68 inches.

Given that 1 ruler = 12 inches

So number of rulers that can fit into 68 inches can be found by dividing 68 by 12

68/12 = 5.7

8 0
2 years ago
Other questions:
  • What is 528−−√+63−−√528+63 in simplest radical form?
    5·2 answers
  • Complete the steps to solve the inequality: 0.2(x + 20) – 3 &gt; –7 – 6.2x Use the distributive property: Combine like terms: Us
    9·2 answers
  • A board game is played as follows: a number cube numbered 1 to 6 is rolled. If the number 1 comes up, you get nothing. If the nu
    12·2 answers
  • The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile starts at 3 a.m. and the airpl
    11·2 answers
  • the population at Saint Maria High increased from 1800 students ten years ago to 1926 students last year. What was the percent i
    12·2 answers
  • The yearbook staff enlarges a picture with a length of 5 inches and a width of 7
    15·2 answers
  • 6. El pez de Jill pesa 8 veces más que su periquito.
    11·1 answer
  • Bill has x pence.
    5·1 answer
  • The quantities xxx and yyy are proportional. xxx yyy 5.85.85, point, 8 5.85.85, point, 8 7.57.57, point, 5 7.57.57, point, 5 11.
    5·2 answers
  • The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the follow
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!