prove by factorization √16×81=√16×√81

Answers

Answer 1

Answer:

√16×81 = 4×9 or √1296 = 36

√16×√81 = 4×9 = 36

Step-by-step explanation:

√81×16

We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).

√81 = √3×3×3×3 = √9×9 = √9² = 9

√16 = √2×2×2×2 = √4×4 = √4² = 4


Related Questions

What’s the ratio of 20 to 6

Answers

Answer:

333..%

Step-by-step explanation:

333.333333333333%
hope this helps

a train moving at the rate of 50 km per hour in struck by a stone moving with a velocity of 40 km above are making an angle of 60 degree with the direction of the train find the velocity with which the stone appears to an observed in the train to strike
the train​

Answers

Answer:

Step-by-step explanation:

the pidgeon is flying east

UB needs to need to create a team of 4 players for the competition out of 10 volunteers. How many
different teams are possible?

Answers

Answer:

604,800

Step-by-step explanation:

10*9*8*7*6*5*4

Profit = Revenue - Cost: P = R - C

(a) Solve for R.
(b) Find R when P = $4525 and C = $1475.

Answers

Answer:

(a) R = P +C

Revenue= Profit + Cost

(b) R = $6000

Step-by-step explanation:

(b) R = $4525 + $1475

        = $6000

Find the slope thanks

Answers

9. -4/15
10. -1/14
11. -3/4
12. -1/4
13. 11/17
14. -18/13
15. undefined
16. -30

Find st to the nearest tenth please helppppp

Answers

The answer of s is 79'

Good luck :)))

Can y’all help me on question 20?!

Answers

Answer:

yes I can help you but ???

A. 39 1/2 Meters INCORRECT!

B. 70 Meters CORRECT!

C. 39 Meters INCORRECT!

a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta required in the water main for the turn from north to east

Answers

Answer:

26.6degrees

Step-by-step explanation:

Given

percent grade through north = 10% (opposite)

percent grade through east = 20% (adjacent)

Get the direction

Using the SOH CAH TOA identity

tan theta = opp/adj

tan theta = 10/20

tan theta = 0.5

theta = arctan (0.5)

theta = 26.6degrees

Hence the required angle is 26.6degrees

If the triangles are similar which are true

Answers

Answer:

b

Step-by-step explanation:

Answer the questions about the following polynomial.

-10x +1

Answers

Answer:

Step-by-step explanation:

Given polynomial is (-10x + 1).

This polynomial has two terms.

Therefore, it's a binomial with two separate terms.

The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).

O resultado da adição algébrica (-5) + (-2 +3

Answers

Answer:

= -4

Step-by-step explanation:

(-5) + (-2 + 3) =

(-5) + (1) =

= -4

Hope this helps

what is 12 take away 1 3/5​

Answers

10 3/5

thank your guy for the pool work

Noah assigns a number to each of the 150 athletes at his school and puts the numbers in a box. He randomly chooses 30 numbers and finds that 18 of the
athletes watched television last night. Use this sample to make an inference about how many athletes watched television last night.

Answers

Answer:

90

Step-by-step explanation:

18 out of 30 watched tv

150/30 = 5

18/30 = (18 * 5)/(30 * 5) = 90/150

Answer: 90


in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?

Answers

Answer and Step-by-step explanation:

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel  

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

In 1993, the moose population in a park was measured to be 4100. By 1998, the population was measured again to be 3000. If the population continues to change linearly

Answers

there seems to be missing text

f(-5)=
Pls help i will mark the brainliest!

Answers

Answer:

f(-5)=7

Step-by-step explanation:

Because y=f(x) so f(-5) means x=-5.

Now you look at the graph, we can see at x=-5 , y=7. So f(-5)=7

Answer:

7

Step-by-step explanation:

Go to - 5 along the x axis.

When you hit the blue, go straight across until you hit the number on the y axis.

That number is 7

A small engine shop receives an average of repair calls per​ hour, with a standard deviation of . What is the mean and standard deviation of the number of calls it receives for ​-hour ​day? What, if​ anything, did you​ assume?

Answers

Answer:

Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N-instances of a normal variable:

For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]

What is the mean and standard deviation of the number of calls it receives for ​n-hour ​day?

Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.

six subtracted from one-half a number is 12.

Answers

Answer:

Number is 36

Step-by-step explanation:

Let the number be x

one half  of the number is  [tex]\frac{1}{2} x[/tex]

6 subtracted from one half is 12, That is,

                                                             [tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]

The number would be 36

HELP THIS IS FOR MY FINAL GRADE

Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?

Answers

Answer:

Ida makes $ 6960 in 5 weeks.

Step-by-step explanation:

Let the profit of the first week is p.

p = $ 600

Total profits of the five weeks

= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)

= 11 p + 0.6 p

= 11 x 600 + 0.6 x 600

= 6600 + 360

= $ 6960

So, Ida makes $ 6960 in 5 weeks.

Solve (x + 5)∕3 = 4 for x.

Answers

4+5=9 • 3 =27/4= 6.75

Answer:

7

Step by step explanation:

1. multiply both sides by 3

          3(x+5)/3 =4 x 3

2. Simplify

   x + 5=12

3. Subtract 5 from both sides

   x+5-5=12-5

4. Simplify

  7

Solve for X.
12x − 39 ≤ 9 AND −4x + 3 < −6
Choose 1 answer:
A. x ≥ 4
B. 9/4 < x < 4
C. x > -9/4
D. There are no solutions.
E. All values of X are solutions.

Answers

Answer: D.There is no answer.

Step-by-step explanation:

Nevaeh is going to drive from her house to City A without stopping. Let DD represent Nevaeh's distance from City A tt hours after leaving her house. The table below has select values showing the linear relationship between tt and D.D. Determine the distance from Nevaeh's house to City A, in miles.
t d
1 195
2 130
2.5 97.5

Answers

Answer:

Step-by-step explanation:

Answer:

260

Step-by-step explanation:

On a Ford assembly line, each worker
A.) moved from station to station.
B.) was responsible for several different tasks.
C.) performed the same task over and over.
D.) built at least one car each day.

Answers

C?
I’m not sure but I think so

Answer:

d

Step-by-step explanation:


What is the measure of angle y in the figure?

Answers

Answer:

y = 27

Step-by-step explanation:

The sum of the two angles is a right angle, which is 90 degrees

y+63 = 90

y = 90-63

y =27

Answer:

The measures of angle y is 30 °.

Step-by-step explanation:

We know that, the sum of two side of right angle is 90 °.

60 ° + y = 90 °

subtract 60 ° from each side

y = 90 ° - 60

y = 30 °

Therefore, the measures of angle y is 30°.

There are 90 girls in fourth form 25 of whom study biology what percentage of fourth form girl study biology?

Answers

90=100%
25 divided by 90= 0.2777
Move decimal over to the right twice is 27.7%
It would be 27.7 percent

Help?!??? What is the distance!
Trig. Ch.7.1

Answers

9514 1404 393

Answer:

  100 m

Step-by-step explanation:

One side between two angles is given, so we need to find the third angle. The sum of angles in a triangle is 180°, so the third angle is ...

  A = 180° -110°20' -13°20' = 56°20'

The law of sines can be used to find the length of side AB:

  AB/sin(C) = BC/sin(A)

  AB = BC·sin(C)/sin(A) . . . . multiply by sin(C)

  AB = (360 m)sin(13°20')/sin(56°20') ≈ 99.75253 m

The distance AB across the river is about 100 m.

What is 25% of 24?
What is 15% of 60?
9 is what percent of 72

Answers

Answer:

6

9

6.48

Step-by-step explanation:

this is the easiest way to solve for percentage:

[tex]\frac{part}{whole} =\frac{part}{whole}[/tex]  Where all the percents (except 100) would go in part

and the whole number would go in whole

[tex]\frac{25}{100} =\frac{?}{24}[/tex]  Then multiply 24 × 25 ÷ 100 = 6

[tex]\frac{15}{100} =\frac{?}{60}[/tex]  Multiply 60 by 25 then divided by 100 = 9

Then for the last one 9 is what percent of 72

all we have to do is multiply 9 and then convert 72 into a decimal (0.72)

Then 9 × 0.72 = 6.48

Answer:

6.48

Step-by-step explanation:

you have to had the left then divide the right

Select all that apply.

A spinner is divided into 4 equal sections. Which of the following are true?

The experimental probability is for each section.
If the spinner is spun 64 times, you would predict it to land on each section 16 times.
The spinner will land on each section of the spinner an equal number of times.
The theoretical probability is 25% for each section.
Multiple choice!!!

Answers

the theoretical probability is 25% for each section

Answer:

(B)  If the spinner is spun 64 times, you would predict it to land on each section 16 times.

&

(D) The theoretical probability is 25% for each section.

I got this question right

please answer thank you​

Answers

Answer:

1536 m²

Step-by-step explanation:

To find the area of the lateral faces, calculate the height of a lateral face first.

The height of a lateral face = S

The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.

[tex] \sqrt{ {h}^{2} + {0.5b}^{2} } [/tex]

[tex] = \sqrt{ {16}^{2} + {12}^{2} } [/tex]

[tex] = \sqrt{400} [/tex]

= 20 m

Total surface area of a pyramid

= total surface area of lateral faces + base area

Area of 1 lateral face

= (base × height) ÷ 2

= (24×20)÷2

= 240 m²

Total surface area of the pyramid

= 240×4 + 24×24

= 1536 m²

Find the angle of depression
from point A to point C.
?
66°
5 mi
B
Angle of depression = [ ? ]

Answers

Given:

In triangle ABC, [tex]m\angle A=66^\circ, AB=5\text{ mi}[/tex].

To find:

The angle of depression from point A to point C.

Solution:

According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.

In triangle ABC,

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

[tex]66^\circ+90^\circ+m\angle C=180^\circ[/tex]

[tex]156^\circ+m\angle C=180^\circ[/tex]

[tex]m\angle C=180^\circ-156^\circ[/tex]

[tex]m\angle C=24^\circ[/tex]

We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.

Therefore, the angle of depression is 24 degrees.

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