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
​

Answer:

414.48 cm²

Step-by-step explanation:

The following data were obtained from the question:

Pi (π) = 3.14

Slant height (l) = 16 cm

Diameter (d) = 12 cm

Surface Area (SA) =....?

Next, we shall determine the radius.

This can be obtained as follow:

Diameter (d) = 12 cm

Radius (r) =..?

Radius (r) = diameter (d) /2

r = d/2

r = 12/2

r = 6 cm

Finally, we shall determine the surface area of the cone as follow:

Pi (π) = 3.14

Slant height (l) = 16 cm

Radius (r) = 6 cm

Surface Area (SA) =....?

SA = πr² + πrl

SA = (3.14 × 6²) + (3.14 × 6 × 16)

SA = (3.14 × 36) + 301.44

SA = 113.04 + 301.44

SA = 414.48 cm²

Therefore, the surface area of the cone is 414.48 cm²

Answer:

=√100

= 10

=√49

= 7

=√144

= 12

=√9

=3

Answer:

4

Step-by-step explanation:

The answer is 4

Answer:

4

Step-by-step explanation:

4

Answer:

The expression (-root3·a - a)², can be simplified into the form a² × (4 + 2·√3)

Step-by-step explanation:

The given expression can be written as follows;

(-root3·a - a)² = (-√3·a - a)²

Which can be expanded to give;

(-√3·a - a) × (-√3·a - a) = 3·a² + 2·√3·a² +a²

We collect like terms to get;

3·a² + 2·√3·a² +a² =  3·a² +a²+ 2·√3·a² = 4·a² + 2·√3·a²

We factorize out the common coefficients of the terms  to have;

4·a² + 2·√3·a² = a² × (4 + 2·√3)

Which gives the initial expression (-root3·a - a)², to presented in the form a² × (4 + 2·√3).

Answer:

Step-by-step explanation:

Hello, please consider the following.

Option A. First week we got $200.

Week 2, we got $200+$50=$250

Week 3, we got $250+$50=$300

Week 4, we got $300+$50=$350

Week 5, we got $350+$50=$400

Week 6, we got $400+$50=$450

[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &250 &300 &350 & 400 &450\end{array}[/tex]

Option B. First week we got $200.

Week 2, we got $200+$200*10%=$200+$20=$220

Week 3, we got $220(1+10%)=$220(1.10)=$242

Week 4, we got $242(1.10)=$266.2

Week 5, we got $266.2(1.10)=$292.82

Week 6, we got $292.82(1.10)=$322.102

[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &220 &242 &266.2 & 292.82 &322.102\end{array}[/tex]

Thank you.

Answer:

3

Step-by-step explanation:

Here, by reading the histogram, we will provide answer for the question asked.

We want to know how many more festivals had 18 to 23 countries represented than 0 to 5 countries.

Checking the histogram, we can see the 0-5 countries having a value of 1, while the 18-23 has a value of 4.

So, the number of more countries will be simply 4-1 = 3

Answer:

3

Step-by-step explanation:

Answer:

One

Step-by-step explanation:

Only one plane containing line ℓ can be drawn parallel to plane P

Answer:

x=3

Step-by-step explanation:

2x/3−x/10=17/10

Multiply each side by 30 to get rid of the fractions

30( 2x/3−x/10)=(17/10)*30

Distribute

20x -3x = 51

Combine like terms

17x = 51

Divide by 17

17x/17 = 51/17

x=3

Answer:

61

Step-by-step explanation:

x+x+1+x+2 = 183

3x+3 = 183

3x = 180

x = 60

Second number = x+1 = 61

Answer:

[tex]10 {x}^{2} + ( - 18)[/tex]

Step-by-step explanation:

Inserting fx into gx we get

[tex]5(2 {x}^{2} - 5) + 7[/tex]

Which then becomes

[tex]10 {x}^{2} - 25 + 7[/tex]

And finally the answer is

[tex]10 {x}^{2} - 18[/tex]

Answer:

C; B

Step-by-step explanation:

The direct/explicit formula for a geometric sequence is the following:

[tex]a_n=a(r)^{n-1}[/tex]

Where aₙ represents the term n, a represents the initial value, and r represents the common ratio.

Therefore, to find the nth term, we just need to find the initial value and the common ratio.

1)

-8, 24, -72, 216...

The common ratio is the ratio between each consecutive term. Do two to confirm that they are indeed the same. Thus:

[tex]r=24/-8=-3\\r=-72/24\stackrel{\checkmark}{=}-3[/tex]

So, the common ratio is -3. And the initial value is -8. Thus, putting them into our equation:

[tex]a_n=-8(-3)^{n-1}[/tex]

Thus, the eighth term will be:

[tex]a_8=-8(-3)^{8-1}\\a_8=-8(-3)^7\\a_8=17496[/tex]

C

2)

Again, find the common ratio.

2, -14, 98, -686...

[tex]-14/2=-7\\98/-14\stackrel{\checkmark}{=}-7[/tex]

The common ratio is -7. The initial value is 2. Thus:

[tex]a_n=2(-7)^{n-1}[/tex]

And the sixth term will be:

[tex]a_6=2(-7)^{6-1}\\a_6=2(-7)^5\\a_6=-33614[/tex]

B

Answer:

x > 5 (Choice C)

Step-by-step explanation:

x - 7 > -2

add 7 on both sides

x > 5

Answer:

x > 5 (Choice C)

Step-by-step explanation:

x - 7 > -2

add 7 on both sides

x > 5

Answer:

10

Step-by-step explanation:

Those people who are actively seeking for a job are counted as unemployed. Underemployment is not considered as unemployment. Those who have given up looking for jobs are also not considered as unemployed as well. Hence there are 10 unemployed people.

Answer:

1.72

Step-by-step explanation:

AB tangent at D, AD = OD = 4

so triangle OAD is right angle with side of 4 and 4.

area of OAD = 1/2 * 4 * 4 = 8

Angle AOD = DAO = 45 deg.

so circular sector OCD area = area of circle O * 45/360

= pi * 4 * 4 * 45/360

= 2pi

Shade area ACD = trigangle OAD - circular sector OCD

= 8 - 2pi

= 1.72

Answer:

  9 square units

Step-by-step explanation:

The function f(x) describes a parabola opening downward, with a vertex at (3, 9). The maximum value of f(x) is found at the vertex, where it is f(3) = 9.

The maximum area is 9 square units.

Answer:

9 c

Step-by-step explanation:

Hello there! :)

Answer:

[tex]\huge\boxed{x = 27}[/tex]

Given the equation:

3x - 4y = 65 where y = 4

Substitute in 4 for "y":

3x - 4(4) = 65

Simplify:

3x - 16 = 65

Add 16 to both sides:

3x - 16 + 16 = 65 + 16

3x = 81

Divide both sides by 3:

3x/3 = 81/3

x = 27.

Answer:

E) 15pi/2

Step-by-step explanation:

The total circle area is pi*r^2. r = 6. so the total area is 6^2pi, or 36pi.

However, we are dealing with 75/360 of a circle, or 5/24 of a circle. 5/24 * 36pi = 15pi/2.

Answer:

10.9

Step-by-step Explanation:

The Mean Absolute Deviation of a given data set tells us how far apart, on average, each data value is to the mean of the data set.

The smaller the Mean Absolute Deviation of a given data set is, the closer each data value is to the mean. This also implies less variability of the data set.

Invariably, the smaller the M.A.D, which connotes less variability, the more consistent the data set is.

Therefore, a M.A.D of 10.9 represents more consistency than a M.A.D of 15.2

Answer:

[tex]\large \boxed{\sf \bf \ \ y=3x^2-6x-1 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

We can read from the graph that the vertex is (1,-4) , it means that the equation is, a being a real number.

[tex]y=a(x-1)^2-4[/tex]

And the point (0,-1) is on the graph so we can write.

[tex]a\cdot 1^2-4=-1 \\\\a-4+4=-1+4\\\\a = 3[/tex]

So the equation is.

[tex]y=3(x-1)^2-4\\\\=3(x^2-2x+1)-4\\\\=3x^2-6x+3-4\\\\=3x^2-6x-1\\\\=\boxed{3}x^2\boxed{-6}x\boxed{-1}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

[tex]y=3x^{2} -6x-1[/tex]

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

x * 5 = 20 * 1

x = 4

Answer:

[tex]\boxed{x=4}[/tex]

Step-by-step explanation:

Hey there!

Well to solve for x we need to cross multiply,

x/20 = 1/5

5x = 20

Divide both sides by 5

x = 4

Hope this helps :)

Answer:

20 will fly in the missing side.

Step-by-step explanation:

This is a 90^o angle.

heres the formula for side c:

a^2 + b^2 = c^2

So,

12^2 + 16^2 = c^2

144 + 256 = c^2

square root of 400 = c

c = 20

So, 20 will fly in the missing gap of the V formation.

image is calculator.

Answer:

x = 7

Step-by-step explanation:

2x + 1 = -3x + 36

2x + 3x + 1 = -3x + 3x +36

5x + 1 = 36

5x + 1 - 1 = 36 - 1

5x = 35

5x/5 = 35/5

x = 7

Answer:

first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7

Step-by-step explanation:

hope this helps

Answer:

19y - 9

Step-by-step explanation:

We can use the acronym PEMDAS. First, we need to calculate -3(-4y+3) by distributing. This is -3 * (-4y) + (-3) * 3 = 12y - 9 so the expression becomes 12y - 9 + 7y. Next, we need to combine like terms. 12y and +7y are like terms since they both have y so combining them gives us 12y + 7y = 19y. -9 stays by itself since there are no other constants so the final answer is 19y - 9.

Hey, it's really very easy to simplify .

I will write step by step.

= -3 (-4y + 3) +7y

= (-3) (-4y) + (-3) (3) + 7y

= 12y + -9 + 7y

= 12y + -9 + 7y

= (12y + 7y) + (-9)

Therefore, 19y + -9 is the answer.

Answer:

The answer is

Step-by-step explanation:

From the question

[tex]\alpha[/tex] is inversely proportional to [tex]\beta[/tex] is written as

where k is the constant of proportionality

When

Substituting the values into the formula

we have

[tex]4 = \frac{k}{9} [/tex]

cross multiply

k = 4 × 9

k = 36

So the formula for the variation is

[tex] \alpha = \frac{36}{ \beta } [/tex]

when

[tex]\beta[/tex] = - 72

That's

[tex] \alpha = \frac{36}{ - 72} [/tex]

Simplify

We have the final answer as

Hope this helps you

Answer:

she can buy 13.333 repeating ounces (13 as a full number) of chocolate drops or 20 ounces of gummy bears.

Step-by-step explanation:

take the amount of money you have, $10 and divide that by the price per ounce $10÷.5=20

Answer:

8 ounces

Step-by-step explanation:

Imagine X is the number of ounces she can buy for each type

.5 (x) the gummy and  .75 (x) the chocolage = 10

combine like terms.

1.25 (X) = 10

X = 8

.5 (8) + .75(8) = 10

4+ 6 = 10

Answer:

Step-by-step explanation:

Hello, it means that the number is

57 * 37 + 29 = 2138

Thank you

Answer:

Hey there!

The first equation has no solutions, as it is parallel lines.

The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.

The third equation is just one solution.

Let me know if this helps :)

Answer:

1 - No solution

2 - Infinitely many solutions

3 - One solution

Step-by-step explanation:

Hey there!

Well to find if there is no solution, one solution, or infinitely many we need to look at the slope and y intercept.

1) - No solution

This is no solution because both slopes are the same meaning they are parallel meaning they have no solution.

2) - Infinitely many solutions

We need to convert into slope-intercept.

y = -x + 4

y = -x + 4

Since both slopes and y-intercepts are the same they overlap meaning they have infinite solutions.

3) - One solution

Slope-intercept,

y = -3x + 11

y = -1/3x + 1/3

Because both slopes are y-intercepts are different they have only one solution.

Hope this helps :)

Answer:

[tex]\huge\boxed{d = 4 }[/tex]

Step-by-step explanation:

41 = 12d - 7

Adding 7 to both sides

41+7 = 12d

48 = 12 d

Dividing both sides by 12

4 = d

OR

d = 4

Answer:

[tex]\large \boxed{{d=4}}[/tex]

Step-by-step explanation:

[tex]41 =12d-7[/tex]

Add 7 on both sides.

[tex]41 +7=12d-7+7[/tex]

[tex]48=12d[/tex]

Divide both sides by 12.

[tex]\displaystyle \frac{48}{12} =\frac{12d}{12}[/tex]

[tex]4=d[/tex]

Answer:

80 feet

Step-by-step explanation:

1 inch represents 10 feet

Then 8 inches represent = 8 × 10

= 80 feet