Verify & mention the below given property a*(+)=*+*of rational numbers by taking a= 1:3, b= 1:5 c= -2:3

Answers

Answer 1

To Prove :

a×(b+c) = a×b + a×c

Solution :

Solving L.H.S. we get :

[tex]a(b+c ) = \dfrac{1}{3}( \dfrac{1}{5}-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]

Solving R.H.S. we get :

[tex]a\times b + a\times c = \dfrac{1}{3}\times \dfrac{1}{5} + \dfrac{1}{3}\times (-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]

Since, L.H.S = R.H.S

Therefore, the given equation is correct.


Related Questions

you're having a bbq this weekend, and you're in charge of hamburger meat. right now there is a sale where you can buy 5 pounds of meat for $10. At this rate how much meat could you buy for $30

Answers

Answer:

15 pounds

Step-by-step explanation:

we can set up a proportion:

5/10=x/30

solve for x:

5/10=x/30

10x=150

x=15

(or you could've done 5*3=15 since $30/$10=3)

Find the measure of angle A

Pls help

Answers

Step-by-step explanation:

x+85+x+44+63=180(sum of angles of a triangle)

or,2x+192=180

or,2x=180-192

or,x=-12

Angle A=x+44

=-12+44

=32°

Give brainliest plse .

please help explain this

Answers

Answer:

8

Step-by-step explanation:

So, the small red circles are the baskets.

Each 1 represents 1 basket.

We know that the two baskets on 4 wont be counted, as well as the two baskets on 4 1/2, since thats smaller than or equal to 4 1/2

We also know that the two baskets on 6 wont be counted either, since thats equal to 6.

So now lets count the baskets in between these values, which would be:

5 - 4 baskets

5 1/2 - 4 baskets

Lets add those up:

4+4

=

8

So your answer is 8!

Hope this helps! :)

Answer:

8

Step-by-step explanation:

Hello! I am just here to confirm that it is 8! The kind person before me is correct! Hope my confirmatiom helps you though! Have an amazing day and remember your worth it!

Bye! Hasta luego :)

Please help me solve this question

Answers

Step-by-step explanation:

Wheres the question??

Have a great day

Question #7
Correct answer is B
Explain or show steps

Answers

Refer to the diagram below. We have the following points

A = base of the streetlampB = base of the personC = tip of the person's shadowD = top of the streetlampE = head of the person

The shadow extends from point B to point C. If we let x be the the horizontal distance from the lamp to the person, then dx/dt represents the speed at which the person is walking away from the lamp. In this case, dx/dt = 4 feet per second.

Let y be the length of the shadow. We can use similar triangles and proportions to help find what y is equal to in terms of x

AD/BE = AC/BC

15/6 = (x+y)/y

15y = 6(x+y)

15y = 6x+6y

15y-6y = 6x

9y = 6x

y = 6x/9

y = 2x/3

y = (2/3)*x

The length of the shadow is 2/3 that of the distance from the person to the lamp.

Now apply the derivative to both sides to compute dy/dt, which represents how fast the shadow is changing.

y = (2/3)x

dy/dt = d/dt[ (2/3)x ]

dy/dt = (2/3)*d/dt[ x ]

dy/dt = (2/3)*dx/dt

dy/dt = (2/3)*4

dy/dt = 2.667

The rate in which the shadow is lengthening is approximately 2.667 ft per second.

A 12-foot-long support board is attached to thecenterof a 16-foot-high vertical display board.What is the width (w) of the horizontal supportboard, rounded to the nearest foot?

Answers

Answer:

4 ....,..........................................

This is an isosceles trapezoid.
R.
s
75
X
Y У
T
U

Answers

Answer:

S=R

75+75=150

360-150=210

210/2=105

y=105

Answer:

y = 105°

Step-by-step explanation:

In an isosceles trapezoid.

Any lower base angle is supplementary to any upper base angle, that is

y = 180° - 75° = 105°

Does anyone know this

Answers

Answer:

The scale factor is greater than 1

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEMS I would really appreciate it

Answers

Answer:

I would love to help but can you zoom in on the question I can't really read it

Step-by-step explanation:

Mrs. Tabachy is selecting 2 individuals to read their poems in the poetry slam. She is selecting from Jill, Tom, Peter, Chrissie, and Lisa by drawing names from a hat. What is the probability that Lisa and another girl are chosen to read? Write your answer as a fraction in the simplest form.

Answers

Answer:

n[total]=5

now

probability to Lisa and another girl are chosen to read=n[Lisa]/5×n[another girl]/4=1/5×1/5=1/25=0.04 is your answer

Step-by-step explanation:

Solution :

here ,

n= 5

then,

The probability that Lisa and another girl are chosen to read = n(Lisa)/5×n ( another girl ) /4

=1/5×1/5

=1/25

=0.04 answer

hope it is helpful to you ☺️

Dr. Gavin is conducting a 2 x 4 independent-groups factorial design. Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit

Answers

Answer:

Dr. Gavin needs to recruit 200 participants.

Step-by-step explanation:

Dr. Gavin is conducting a 2 x 4 independent-groups factorial design.

This means that there will be 2*4 = 8 cells.

Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit?

25 people in each cell, 8 cells. So

25*8 = 200

Dr. Gavin needs to recruit 200 participants.

A surveyor is 100 feet from a building. He finds the angle of elevation to the top of the building is 23 degrees. If the surveyor’s eyelevel is 5.3 feet above the ground, find the height of the building.

Answers

Answer:

47.7 ft

Step-by-step explanation:

tan= o/a

tan(23)= x/100

x=100/tan(23)

x= 42.4

42.4 + 5.3 = 47.7

Answer:

m∠B = 15°

and

h ≈ 31.28 ft

Step-by-step explanation:

only if it's on edge 2021. this showed up when I put in the question, so imma just assume there are others here like me.

What is (+8) – (-3)?

Answers

the answer to the question is 11

4 + (m -n )^4 when m =7 and n = 5 whats the value ?

Answers

Answer:

20

Step-by-step explanation:

We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.

If this has helped please mark as brainliest

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\textsf{Equation:}[/tex]

[tex]\mathsf{4 + (m - n )^4}[/tex]


[tex]\large\textsf{Solving:}[/tex]

[tex]\mathsf{4 + (m - n )^4}[/tex]

[tex]\mathsf{\mathsf{= 4 + (7 - 5)^4}}[/tex]

[tex]\mathsf{= 4 + (2)^4}[/tex]

[tex]\mathsf{= 4 + (2\times2\times2\times2)}[/tex]

[tex]\mathsf{= 4 + 2\times2\times2\times2}[/tex]

[tex]\mathsf{= 4 + 4\times 4}[/tex]

[tex]\mathsf{= 4 + 16}[/tex]

[tex]\mathsf{= 20}[/tex]


[tex]\large\textsf{Therefore, your answer should be:}[/tex]

[tex]\large\boxed{\frak{20}}\large\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

How to find Surface Area & Volume of Cylinder???
please help......

Answers

Answer:

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

Hey May I Ask Whats The Rule Of This Number​

Answers

Answer:

add 4x1, then 4x2, then 4x4, then 4x8, etc

Step-by-step explanation:

In ΔQRS, q = 6.8 inches, r = 1.9 inches and ∠S = 141° . Find the length of s, to the nearest 10th of an inch

Answers

c = 141   s =

150 inch

Make r the subject of x= e + r/d

Answers

Step-by-step explanation:

X=e+r/d

swap both sides

e+r/d=x

subtract e from both sides

e-e+r/d=x-e

r/d=x-e

multiply d to both sides

d×r/d=x-e×d

r=x-e×d

Select the graph of y= sin x.

Answers

Because it contains the points (0, 0) and (pi/2, 1), the first graph is the graph of sin(x).

Which graph is the graph of sin(x)?

To identify the graph of sin(x), we need to remember some points of the sine function.

We know that sin(0) = 0, this means that this passes through the point (0, 0).

And we also know that sin(pi/2) = 1, then it also passes through the point (pi/2, 1).

With that in mind, the graph that passes through those two points is the first one, so that is the correct option.

If you want to learn more about the sine function:

https://brainly.com/question/9565966

#SPJ2

Answer:

A.

Step-by-step explanation:
Believe me! I got it right on the program!

Find the length of side x in simplest radical form with a rational denominator
60°
3
30
X

Answers

Answer: 5/2

Explanation:

According to 30-60-90 triangle rule:

The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2

(PLEASE HELP) (NO SPAM) Complete the special right tringale:

What is the length of (BD)?

What is the length of (BC)?

Answers

Answer:

Step-by-step explanation:

BD is opposite the 30° angle. The sine of 30° is 0.5. The sin of an angle in a right triangle is opposite/hypotenuse so BD = sin 30°x8.

Now you have two known lengths The third can be found by applying the Pythagorean theorem: BC²+BD²=CD², from which you can establish a numerical value for BC.

The prism below is packed with no gaps between the cube that measure 1/4 ft. What is the volume, in cubic feet of the right rectangular prism?

Answers

Answer: 1/2

First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.

If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest

Answers

Answer:

yes

Step-by-step explanation:

Hassan surveyed 120 of the students in his school about their favorite color. 114 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?

Answers

95%
114 x 100 : 120= 95

Answer:

95%

Step-by-step explanation:

A point (-20, 48 ) is on the terminal side of angle 8. Find the exact value of sin 0.

A. 5/13
B. -5/13
C. -12/13
D. 12/13

Answers

Answer:

D.   12/13

Step-by-step explanation:

Hyp = √( (-20)² + 48² )

Hyp = 52

Sin = opp/hyp

sin = 48/52 = 12/13

The value of trigonometric ratio Sinθ = 12/13.

Hence option D is correct.

According to the given point

The base of the triangle be = -20

Perpendicular of triangle = 48

We know that the Pythagoras theorem for a right-angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

Therefore,

Hypotenuse = √( (-20)² + 48² )

Hypotenuse = 52

Since we know that,

Sinθ = opposite side of θ /hypotenuse

        =  48/52

        = 12/13

Hence,

Sinθ = 12/13

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

The complete question is:

A point (-20, 48 ) is on the terminal side of angle θ .

Find the exact value of Sinθ.

A. 5/13

B. -5/13

C. -12/13

D. 12/13

Lisa, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a
new clerk, needs 15 hours to do the same job. Working together, how long will it
take them to fill the order?

Answers

14 hours or 2 hours. Im not sure

What is the measure of arc AB

Answers

Answer:

AB should be 142

Step-by-step explanation:

the circle whole is 360 half is 180. Line segment BD is half so you need to subtract the 38 from 180 to get your answer of 142

What is the distances between (3, 10) and (3, -8)

Answers

Answer:

(0,-12)

Step-by-step explanation:

is this what your looking for? what form would you like me to answer this in?

Someone help me with this pls ty :) Math. No Fake answers please!!!

Answers

Answer:

-1 , 5 for the original figure and 7, 2 for the final figure

Step-by-step explanation:

Self Explanatory

If you want explanation, comment on this answer and I will tell you

purple triangle is where it should be placed :)

Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?

A. a bar graph
B. a circle graph
C. a histogram
D. a line graph

Answers

i believe it is C. a histogram
(if it’s not then sorry)

Answer:

A

Step-by-step explanation:

It was the correct answer when I submitted my assignment. A histogram is best for continuous data thats why a bar graph is best.

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