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3 years ago

There are 16.5 feet in a rod. How many rods are there if you have 148.5 feet?

Mathematics

2 answers:

Damm [24]3 years ago

7 0

There are 9 rods hope this helps

12345 [234]3 years ago

7 0

148.5 divided by 16.5 is 9
The answer is 9 rods.

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How many 2/3 ounce portions of chocolate can Anna get from the 42/3 ounces of chocolate she bought at Union Market?

Lelechka [254]

She can get 21 portions. Since 2/3 and 42/3 already share the same denominator, all you need to do is divide 42 by 2 to get 21.

6 0

3 years ago

Ben left a 20% tip on his bill at a restaurant. The bill was $40

tigry1 [53]

Answer:

Tip: $8

Total:$48

Step-by-step explanation:

Multiply 40 by 20% to find out how much money he gave for tip.

Add the amount of tip, 8, to $40 find out the total amount of money he spent.

3 0

3 years ago

Can you please help me ASAP

Tanya [424]

Answer: 30

Step-by-step explanation:

105 + 45 =150

180 - 150 = 30

30 +90 = 120

180 - 120 = 60

2x = 60

x =30

4 0

2 years ago

To the nearest degree what is the measure of each exterior angle of a regular dodecagon

malfutka [58]

Answer:

$30^{\circ}$

Step-by-step explanation:

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that a regular dodecagon is a 12 sided regular polygon with each side equal.

We know that measure of each angle of n-sided regular polygon can be found using formula:

$\text{Each exterior angle}=\frac{360^{\circ}}{n}$

Upon substituting $n=12$ in above formula, we will get:

$\text{Each exterior angle of a regular dodecagon}=\frac{360^{\circ}}{12}$

$\text{Each exterior angle of a regular dodecagon}=30^{\circ}$

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

3 0

3 years ago

Which of the following is an improper integral?

guapka [62]

Answer:

A) $\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx$

General Formulas and Concepts:

<u>Calculus</u>

Discontinuities

Removable (Hole)
Jump
Infinite (Asymptote)

Integration

Integrals
Definite Integrals
Integration Constant C
Improper Integrals

Step-by-step explanation:

Let's define our answer choices:

A) $\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx$

B) $\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx$

C) $\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx$

D) None of these

We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.

Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.

∴ our answer is A.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

6 0

3 years ago