1answer.
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
Temka [501]
3 years ago
9

What pattern do you notice in the numbers below? 1 = 1 × 1, and 1 × 1 × 1, and 1 × 1 × 1 64 = 8 × 8, and 4 × 4 × 4 729 = 27 × 27

, and 9 × 9 × 9 4,096 = 64 × 64, and 16 × 16 × 16 A. They are perfect squares. B. They are perfect cubes. C. They are both perfect squares and perfect cubes. D. They are neither perfect squares nor perfect cubes.
Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0

Answer:

<h3>C. They are both perfect squares and perfect cubes.</h3>

Step-by-step explanation:

Perfect squares are numbers that their square root can be found easily without any remainder.

Given the following patterns;

1*1 = 1  and 1*1*1 = 1

It can be seen that 1 is 1 perfect square since 1*1 = 1² = 1

Also 1 is perfect cube since 1*1*1 = 1³ = 1 (cube of the value gives 1)

Similarly for the expression;

8*8 = 64

8² = 64 (since the square of 8 gives 64, then 64 is known to be a perfect square)

Also 4*4*4 = 64

i.e 4³ = 64 (This shows that the cube root of 64 is 4 making it a perfect cube since we can get a whole number for the cube root of 64)

The same is applicable for other expressions 729 = 27 × 27, and 9 × 9 × 9, 4,096 = 64 × 64, and 16 × 16 × 16

This values are easily expressed as a constant multiple of a number showing that they are both perfect squares and perfect cubes.

You might be interested in
Which pairs of angles are alternate exterior angles? select yes or no​
sasho [114]

A - No

B - No

C - Yes

D - Yes

.

C and D are alternate exterior angles

8 0
3 years ago
Two diameters of circle P are AB and CD. Find the measure of arc ACD and arc AC when arc AD has a measure of 20 degrees
steposvetlana [31]

Answer:

Hence measure of arc ACD and arc AC are 340 degrees and 160 degrees respectively.

Step-by-step explanation:

Given:

A Circle with p as center and AB and CD as 2 diameters for a circle.

To Find:

Measure of ACD, and arc AC when arc AD is 20 degrees.

Solution:

<em>As we know that , Diameter is biggest chord which passes through center of circle,</em>

<em>Hence it divides the circle into two equal parts and making center as midpoint of it</em> .

(Refer the attachment)

angle APD=20 degree or arc AD=20 degree.

So AB as diameter ,so  arc DB=160 degree  or BPD=160 degree as A-B-P are

and angle APD and BPC are vertical opposite angles so they are congruent BPC=20 degree

Now,

points A,C,B,D,A makes circle which measures 360 degrees.

to find ACD

measure of ACD=360-(meaure of arc AD or angle APD)

=360-20

=340 degree.

Now arc AC,

as AB is diameter with p as midpoint ,A-P-B

arc APB=180 and arc BC=20 or angle BPC=20 degrees.

For measure of arc AC= measure of arc APB- arc BC

arc AC=180-20 degrees.

arc AC=160 degrees.

5 0
3 years ago
PLEASE ANSWER FAST!<br> you dont have to explain but im trusting on u have a good day
JulsSmile [24]

Answer:

126 square inches

Step-by-step explanation:

The area of the figure = area of the parallelogram + area of the square + area of the rectangle

✔️Area of the parallelogram = b*h

b = 10 in.

h = 3.5 in.

Area = 10*3.5

Area = 35 in.²

✔️Area of the square = s²

s = 4 in.

Area = 4²

Area = 16 in.²

✔️Area of the rectangle = L*W

L = 12.5 in.

W = 6 in.

Area = 12.5*6

Area = 75 in.²

✅Area of the figure = 35 + 16 + 75

= 126 in.²

8 0
3 years ago
Please help me. I'm lost.
amm1812
Yes cause he can decrease the perimeter in any way and it would change the area and idk the other 2 in the front
6 0
3 years ago
Reduce the ratio 8/12 to the lowest terms
Tanya [424]
The answer is 2/3
I hope this works for you :)
5 0
3 years ago
Other questions:
  • [7.07] Choose the correct product of (6x + 2)2.
    13·2 answers
  • The dolphins at the Logan Aquarium are fed 3 7/8 buckets of fish each day. The sea otters are fed 2 9/10 times as much fish as t
    14·1 answer
  • Find the surface area of the come in terms of pi.
    7·2 answers
  • Fran reads 54 pages per hour if she reads total of 257 pages one weekend how many hours to the nearest hundredth does he read
    9·1 answer
  • If you have $ twentyfive of quarters and dimes how much quarters and dimes do u have
    14·1 answer
  • The sum of measures of alternate interior angles of two parallel lines is 210°. What are the measures of these angles?
    9·1 answer
  • Jerry was counting the money he received for his birthday from his auntie he receive nine dollars from his uncle he receive nine
    15·1 answer
  • What is equation of a line parallel to y=1/2x-3 that passes through the point(3,2)? Solve by graphing or mathematically
    8·1 answer
  • A cable television company offers two different pricing plans. Plan A charges $11.25 per month plus a one time installation fee
    5·1 answer
  • What is the equation of the function y=3/x translated 4 units up and three units to the left
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!