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Usimov [2.4K]
3 years ago
7

Give the greatest common divisor of $6^3$ and $3^6$.

Mathematics
2 answers:
zysi [14]3 years ago
8 0

Answer:

Step-by-step explanation:

Greatest common divisor is the largest positive integer that divides each integer in the given problem

6³ = (2* 3)³ = 2³ * 3³

3⁶ = 3³ * 3³

Greatest common divisor = 3³ = 3* 3* 3 = 27

Lady bird [3.3K]3 years ago
3 0

Answer:

27

Step-by-step explanation:

Since 3^6 is only divisible by 3 and powers of 3(including 1) the gcd of 3^6 and 6^3 mus be a power of 3 hence we need to find the highest powers of 3 that divide 6^3 and that divide 3^6, which are respectively 3^3 and 3^6, hence, taking the smaller one (since we want it to divide both), our answer is 3^3=27.

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A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Svetradugi [14.3K]

Answer:

  14.25 yd^2

Step-by-step explanation:

The triangle area is given by the formula ...

  A = 1/2bh

Here, the base is 10 yd, and the height is 5 yd, so ...

  triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2

__

The semicircle is half the area of a circle with radius 5 yd, so its area is ...

  semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2

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The shaded region is the difference between these areas:

  shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2

7 0
3 years ago
Find the range of the function defined by each equation: y =- x
blagie [28]
Range is all the values of y, in this case, y can be any number, so the range is all real numbers.

4 0
3 years ago
Write an equation to represent the problem. Then solve the equation. Two years of local Internet service costs $685, including t
iren2701 [21]

Answer:

(Total - Fee) / Months = $Price per Month

(685 - 85) / 24 = 25

Step-by-step explanation:

4 0
3 years ago
Gustavo's bicycle cost $171.18 after a sales tax of 8%. write and solve an equation to find the price of the bike before the sal
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Let x =  price of the bike before a sales tax.

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3 0
4 years ago
As the end of the term approached, Hakim became increasingly anxious about failing calculus and losing his scholarship His best
Alex787 [66]

Answer:

D.Appraisal support

Step-by-step explanation:

Social relationships are upheld through offering social supports with intention of being helpful to the receiver.It can be in form of emotional ., instrumental, informational and appraisal.

In emotional social support, the sender expresses his empathy, love and care to the receiver.Occurs when you give hope to a friend by offering a listening ear.

Instrumental social support involves offering a tangible help or service to the receiver.You can decide to perform dishes while your sister attends a salon appointment to fix her hair.

Informational support is all about giving advise, information and suggestions concerning the issue.

Appraisal social support is where you offer information vital for self-evaluation.For example, Hakim's best friend reminds Hakim that his performance in the previous Calculus exams was good so he should be positive about passing the final exam as it will cover similar topics.

6 0
4 years ago
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