after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount ans80
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2^3 * 3^1

Go step by step. 24 = 2 x 12. 12 = 2 x 6. 6 = 2 x 3. We can't factor any more.

Therefore, we have 12 = 2 x 6, and since 6 = 2 x 3, we get 12 = 2 x 2 x 3.

Then 24 = 2 x 12, and 12 = 2 x 2 x 3, so 24 = 2 x 2 x 2 x 3.

There are 3 2's and 1 3's, so it's 2^3 * 3^1.

Hope that helped,

-sirswagger21

Answer:

24=2*12=2*6=2*3

Step-by-step explanation:

I could not draw the tree diagram

to do it you take a prime number it is divisible by and a composite number it is divisible by and you prime factorise the composite number and repeat until you get prime numbers

Answer:

3 1/6 cups of flour.

Step-by-step explanation

Answer:

12x-8

Step-by-step explanation:

We can use PEMDAS to solve this expression.

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

The first step to do is use the distribute property to simplify the parenthesis.

The second step will be to simplify the exponent, but there aren't any so we can skip that step.

The third is to multiply but we can skip that and division while we are at it because there isn't any we can do to simplify.

The fourth step will be to add -20 with 2. We then get -18.

And finally, we have our answer

(3x - 5)x4 +2

12x-20+2

12x-18

Answer:

31.6666666 miles / gallon

Step-by-step explanation:

Take the miles and divide by the gallons

95 miles / 3 gallons

31.6666666 miles / gallon

Answer:

$18

Step-by-step explanation:

$18.02 rounds to $18

Answer:

  $17

Step-by-step explanation:

Rounded, the listed numbers are ...

  12 + 5 -1 +3 -2 = 17

The estimate of total cost is $17.

Answer:

The minimum score necessary to be in the top 10% of the distribution is 628.

Step-by-step explanation:

Given that a normal distribution has a mean of μ = 500 and a standard deviation = σ= 100

The Significance level  for this test = 10 % = 0.1

For one tailed test ∝= 0.1 the value of Z∝= ±1.28

Since it a normal distribution the test statistic used is

Z= X= u / σ/√n   ( taking n= 1)

1.28 = X- 500/100/√1

128 + 500 = X

or X = 628

The minimum score necessary to be in the top 10% of the distribution is 628.

Step-by-step explanation:

Hey, there !!

Let's simply work with it,...................

Here, theequation is,

[tex] {m }^{2} - 4 = 0 [/tex]

[tex]or \: {m }^{2} = 4[/tex]

[tex]or \: m = + - \sqrt{4} [/tex]

[tex]or \: m = + - \sqrt{ {2}^{2} } [/tex]

cancelling square and square root we get answer is,

= (+ - 2).

It means the value of m is plus(+) minus(-) 2.

Hope it helps...

Answer:

The area would be 128ft^2

2^4 i= 2x2x2x2

2^3 = 2x2x2

multiply them and you get 128ft6^2

Answer:

128ft^2

Step-by-step explanation:

took the quiz just now :D

Answer:

Yes

Step-by-step explanation:

we move the decimal point 4 times to the right

1st time

32.2

2nd time

322

3rd time

3220

4th time

32,200

Answer:

No

Step-by-step explanation:

3.22 x 10 = 32.2

32.3 to the fourth power = 107.50

107.50 < 32,200

Therefore it is not equal to 32,200

Answer:

The answer is D. A reflection, a rotation and a translation will prove that shape 2 is congruent to shape 1.

Answer:

E) 45

Step-by-step explanation:

Since b is 90 degrees, and lines CB and BA are equal (as seeen with the 2 lines across them) we can assume that this angle is 45 degrees, half or 90 degrees.

Angle C is also equal to angle A

Answer:

E

Step-by-step explanation:

Using the fact that the sum of angles in a triangle is 180 degrees, we can write the following equation to solve for 3x:

3x + 3x + 90 = 180

3x + 3x = 90

2 * 3x = 90

3x = 45°

Answer:

A. 183 meters

Step-by-step explanation:

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters

Find distance BC

Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)

Cos (60°)=1/2

BC=a

AB=500

Cos (60°)=BC / AB

1/2=a/500

1/2 * 500=a

250=a

a=250m

Find distance AC

Sin(60°)=AC/AB (opposite side divided by hypotenuse)

Sin(60°)=√3/2

AC=b

AB=500

Sin(60°)=AC/AB

√3/2=b/500

√3/2 * 500=b

250√3=b

b=433m

Distance AC and BC=AC+BC

433m+250m=683m

Subtract the distance AB from AC+BC

= 683m - 500m

=183m

Answer is A. 183 meters

Answer:

A. 183 meters

Step-by-step explanation:

sin(60) = x/500

= 433

tan(60) = 433/x

= 250

This is the driving distance. 433+250= 683. Directly walking (using hypotenuse distance) is 500.

683-500=183!

Answer:

66.9 degrees

Step-by-step explanation:

The Law of Sines states that a/sinA = c/sinC. Plugging in the values for c, a, and M < A, we get:

71/sin40 = 102/sinC

Cross multiplying, we get:

102(sin40deg) = 71(sinC)

Now, we simplify the left side and get:

65.56 = 71(sinC)

Next, we divide 65.56 by 71 to get:

0.92 = sinC

Taking the inverse sign we get:

C = 66.9 degrees

Answer:

x = -C / (A + b)

Step-by-step explanation:

Without given values for the constants A, b, and C (Assuming they are constants), the best we can do is to isolate the variable x.  Let's proceed to solve for x.

Ax + bx + C = 0

x (A + b) + C = 0

x (A + b) = -C

x = -C / (A + b)

So now, when you get the values of the constants A, b, and C, you can plug those in to solve for variable x.

Cheers.

Answer:

80 cube units

Step-by-step explanation:

Answer:

Step-by-step explanation:

C=153.86153...

100000C=15386153.86153...

subtract

99999C=15386000

C=15386000/99999

2 π r=15386000/99999

r=7693000/99999π≈24.5

Answer:

1.417

Step-by-step explanation:

102/72=1.417

Answer:

(-3 ÷ 4)x^2 + 6x

Step-by-step explanation:

Data mentioned in the question

Maximum height = 12m

Number of seconds = 8

Height = 3m

Depend on the above information, the quadratic equation is shown below:

As it took 8 seconds to hit the maximum altitude and it reverted to the ground floor, this graph also reflects the motion in parabola after 4 seconds, so that the a must be negative

Now it is given that

a × x ^ 2 + bx + c =0

We can considered that

x = 0

x = 8

As {0.8} are intercepts of x

When x = 0, then it is

a × 0 ^ 2 + b(0)  + c = 0 .................... (i)

Hence 0 = 0

Now x = 8, it is

a × 8 ^ 2 + b(8)  + c = 0

Hence a(8)^2 + b(8) + c =  0 ..................(ii)

As it can be seen that in the first equation c must be zero

Whereas the second equation is

64a + 8b = 0

i.e.

8a = -b or a = -b ÷ 8

Now according to the quadratic function, it presented

(-b ÷8)x^2 + bx + 0

So, the parabola vertex is (4, 12)

Now place this in the place of a

(-b ÷ 8)(4)^2 + b(4) = 12

And for calculating this b, all terms must be multiplied by 8

That appears

-b(16) + 32b = 96

16b = 96

So, b = 6.  

As a = -b ÷8

a = -6 ÷ 8

a = -3 ÷4

So, the equation is

= (-3 ÷ 4)x^2 + 6x

Hence, this is the equation

Its $2.99 because 6.94-3.95=2.99 so $2.99

Answer:

$2.99

Step-by-step explanation:

To find the value of the drawing tablet, we can use the known total cost and the cost of the pencils.  Let's build an equation, where x represents the cost of the drawing tablet:

x + 3.95 = 6.94

Now let's solve the equation for x to find the cost of the tablet.

x + 3.95 = 6.94

x + 3.95 - 3.95 = 6.94 - 3.95

x = 2.99

So the cost of the drawing tablet is $2.99.

Cheers.

Answer:

43y

Step-by-step explanation:

31y+12y

combine like terms

Factor out y

y( 31+12)

y (43)

43y

Since we are dealing with two numbers with the same variable (y), all we need to do is combine like terms.

31y + 12y = 43y

Best of Luck!

Answer:

(-3,6) (1,8) (2,10) and so on.

Answer:

12 to the power of -2 is 0.00694444444

Step-by-step explanation:

When ever doing a number to the power of a negative number, the result will always be a fraction of a number.

Or

Fraction:

1/12^2

which is

1 / 144

Percentage:

0.00694444444 * 100 = 0.694444444%  

Hope this helps, have a good day :)

(brainliest would be appreciated?)

The simplest form of the given expression [tex]12^{-2}[/tex] is 1/144.

The given expression is,

[tex]12^{-2}[/tex]

Here we can see that 12 has inverse power of 2.

Simplify it using basic rules of exponents.

To do so, we need to understand that a negative exponent indicates that the base should be inverted.

In other words, [tex]12^{-2}[/tex] is the same as 1/12²

To simplify this further,  

Evaluate 12², which is,

12² = 12 x 12

     =  144

Therefore, 1/12² can be expressed as 1/144.

Hence,

In the simplest form, we can write [tex]12^{-2}[/tex] as 1/144.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Answer:

Around 52.94%

Step-by-step explanation:

We can use the percentage error formula, which is

[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].

The approximated value was 8, however the exact value was 17, so we can substitute inside the equation.

[tex]\frac{|8-17|}{17}\cdot100 \\\\\frac{|-9|}{17}\cdot100 \\\\\frac{9}{17}\cdot100 \\\\0.5294...\cdot100 \\\\52.94[/tex]

Hope this helped!

Answer:

101

Step-by-step explanation:

Given the following :

Number of soldiers = 10201

They are queued such that the number of queues = number of soldiers in each queue

Let number of queues = q

Therefore, if number of queues equals number of soldiers per Q,

Then ;

q × q = 10201

q^2 = 10201

Take the square root of both sides

q = √10201

q = 101

Number of soldiers per queues = 101

Answer:

(3.5,4)

x coordinate =

[tex] \frac{5 + 2}{2} [/tex]

= 3.5

y coordinate =

[tex] \frac{ - 1 + 9}{2} [/tex]

= 4

midpoint = (3.5,4)

Answer:

(  3.5,4)

Step-by-step explanation:

To find the midpoint

Add the x coordinates together and divide by 2

(5+2)/2 = 7/2 = 3.5

Add the y coordinates together and divide by 2

(9+-1)/2 = 8/2 = 4

( 3.5,4)

Answer:

330.00cm²

Step-by-step explanation:

find the area of both circles and subtract the smaller one from the bigger one.

area of a circle= πr²

π wasn't given so I will use 22/7

so area of the bigger circle = 22/7 × 11²

=22/7 × 121

=380.28cm²

area of the small circle=22/7 × 4²

= 22/7 × 16

= 50.28cm²

Area of the shaded portion = 380.28 - 50.28

= 330.00cm²

Answer:

Compression, stirring, and friction all increase heat

Step-by-step explanation:

I did a lesson on it and got it right

Answer:

The last option

Step-by-step explanation:

When you have a fraction as a power, the denominator goes to the root, so in this case, it becomes root 4. The base, 5, goes to the outside, and the numerator 1, goes beside the x.

Hope this helps!

Answer:

Options (B) and (D)

Step-by-step explanation:

If a triangle is a 30° - 60° - 90° triangle, measure of the angle between the leg and hypotenuse will be either 60° or 90°.

Therefore, by applying Cosine rule in the given options.

c² = a² + b² - 2abCosC

All the given options are the right triangles.

[Since they follow the Pythagoras theorem]

Option (A),

Angle between the sides having measures 3 and 5 units,

4² = 3² + 5² - 2(3)(5)CosC

16 = 9 + 25 - 30.CosC

30.CosC = 18

[tex]C=\text{Cos}^{-1}(\frac{5}{6} )[/tex]

C = 33.56°

Therefore, this triangle is not a 30-60-90 triangle.

Option (B),

Angle between the sides measuring 5 and 10 units,

[tex](5\sqrt{3})^2=5^2+10^2-2(5)(10)\text{CosC}[/tex]

75 = 125 - 100(CosC)

Cos(C) = 0.5

C = 60°

Therefore, other angles of the triangle will be 30° and 90°.

And it's a 30°-60°-90° triangle.

Option (C),

10, 10, 10√2

It's a right triangle and the measure of legs are equal.

Since legs of this sides are equal, angles opposite to these equal sides will be equal.

Sum of all interior angles = 180°

m∠A + m∠B + m∠C = 180°

If m∠B = 90°

m∠A + 90° + m∠C = 180°

2(m∠A) = 90°

m∠A = 45°

Therefore, the given sides make a 45°- 45°- 90° triangle.

Option (D).

Angle between the sides 3 and 6,

(3√3)² = 3² + 6² -2(3)(6)CosC

27 = 9 + 36 - 36.(CosC)

CosC = [tex]\frac{18}{36}[/tex]

C = [tex]\text{Cos}^{-1}(\frac{1}{2})[/tex]

C = 60°

Therefore,

These sides make a 30°- 60°- 90° triangle.

Options (B) and (D) are the 30°- 60°- 90° triangle.  

Answer:

13/3

Step-by-step explanation:

Write as a fraction first,

0.65/0.15

convert decimal to fractions,

13/20/3/20 = 13/3