In a class Vidya ranks 7th from the top. Divya
is 7 ranks ahead of Medha and 3 ranks
behind Vidya. Sushma who is 4th from the
bottom is 32 ranks behind Medha. How many
students are there in the class?​

Answer:

a) 4 : 1 : 10

b) 25 : 9 : 13

c) 18 : 11 : 3

d) 2000 : 20 : 1

Step-by-step explanation:

We are to put the values in the form a : b : c

a) 40 ml, 1/100 l, 0.1 l

Put them all in ml (1 l = 1000 ml)

40ml, 10 ml, 100 ml

Therefore:

40 : 10 : 100

In lowest terms, 4 : 1 : 10

b) 2 1/2 kg, 900 g, 1.3 kg

Put them all in grams, (1 kg = 1000 g):

2500 g, 900 g, 1300 g

Therefore:

2500 : 900 : 1300

In lowest terms, 25 : 9 : 13

c) 1.5 hrs, 55 minutes, 1/4 hrs

Put them all in minutes (1 hour = 60 minutes)

90 minutes, 55 minutes, 15 minutes

Therefore:

90 : 55 : 15

In lowest terms, 18 : 11 : 3

d) 60 cm, 6 mm, 0.03 cm

Put them all in mm (1 cm = 10 mm)

600 mm, 6 mm, 0.3 mm

Therefore:

600 : 6 : 0.3

In lowest terms, 2000 : 20 : 1  (Divide by 0.3 because a ratio cannot be decimal)

Answer:

i am very sure that the answer is D which is domain does not change and the range changes.

Step-by-step explanation:

it is because always range value can varry more over when H(x) is equal to A and range is equal to B .

A=B

similarly

A= -B

Answer

(a - y) (b - y)

Step-by-step explanation:

(ab - ay) (-by + y^2)

a (b - y)  -y ( b - y)

(a-y) (b - y)

.. ..

Answer:

[tex]\boxed{(a-y) (b - y)}[/tex]

Step-by-step explanation:

Rearrange the terms.

[tex](ab - ay) (-by + y^2)[/tex]

Factor out common term.

[tex]a (b - y) -y ( b - y)[/tex]

Apply rule : [tex]a(b+c)+d(b + c) = (a+d)(b+c)[/tex]

[tex]a (b +- y) +-y ( b +- y)[/tex]

[tex](a+-y) (b +- y)[/tex]

Answer:

1. Cosine

2. x = 49°

3. Sine

4. y = 41°

Step-by-step explanation:

1. The trig function that will be used to solve for x is cosine.

2. Determination of angle x

x° =..?

Adjacent = 13

Hypothenus = 20

Cos x = Adjacent /Hypothenus

Cos x = 13/20

Take the inverse of Cos

x = Cos¯¹ (13/20)

x = 49°

3. The trig function that will be used to solve for y is sine.

4. Determination of angle y.

y° =..?

Opposite = 13

Hypothenus = 20

Sine y = Opposite /Hypothenus

Sine y = 13/20

Take the inverse of Sine

y = Sine¯¹ (13/20)

y = 41°

Answer:

64° aka D

Step-by-step explanation:

∠J + ∠L + ∠LKJ = 180°

58° + 58° + ∠LKJ = 180°

116° + ∠LKJ = 180°

∠LKJ = 180° - 116°

=  64°

hope i helped

-lvr

Answer:

Distance between Amanda and Angela (c) = 4.30 km (Approx)

Step-by-step explanation:

Given:

Amanda rides (a) = 10 km

Angela rides (b) = 12 km

Angel between them = 20°

Find:

Distance between Amanda and Angela (c)

Computation:

Using law of cosines:

c² = a² + b² - 2abCosФ

c² = 10² + 12² - 2(10)(12)Cos20°

c² = 100 + 144 - 2(10)(12)(0.9397)

c² = 244 - 225.528

c² = 18.472

c = 4.2979

Distance between Amanda and Angela (c) = 4.30 km (Approx)

Answer:

(-2 2/3,0)

(0,2)

Step-by-step explanation:

Just did it

Answer:

Step-by-step explanation:

the two points are(0,2), (-8/3,0)

Answer:

Step-by-step explanation:

If m∠CED = 30° and m∠CDE = 90° than triangle CED is half of equilateral triangle where CE is side of the equilateral triangle, DE is hight of equilateral the triangle and CD is half of side of the equilateral triangle.

[tex]\dfrac{CE\sqrt3}2=2\sqrt3\\\\CE\sqrt3=4\sqrt3\\\\CE=4=s\\\\CD=\dfrac s2=\dfrac42=2[/tex]

Answer:

dimensional figure are

Answer:

Volume of cone = 130 cm³

Step-by-step explanation:

Given:

Volume of cylinder = 390 cm³

dimensions of cylinder = dimensions of cone

Find:

Volume of cone

Computation:

Volume of cylinder = πr²h

390 = πr²h

124.090909 = r²h

So,

Volume of cone = (1/3)πr²h

Volume of cone = (1/3)(22/7)r²h...........[124.090909 = r²h]

Volume of cone = (1/3)(22/7)(124.090909)

Volume of cone = 130 cm³

Answer:

x=1.94

x = - 1.94

Step-by-step explanation:

8x² + 5 = 35

Subtract 5 from each side

8x² + 5-5 = 35-5

8x²  = 30

Divide each side by 8

8x² /8 = 30/8

x² = 15/4

Take the square root of each side

sqrt( x²) = ±sqrt(15/4)

x = ±sqrt(15/4)

x=1.93649

x = - 1.93649

To the nearest hundredth

x=1.94

x = - 1.94

Answer:

1.94

Step-by-step explanation:

[tex]8x^2+5=35\\8x^2=30 \\x^2=30/8\\x^2=3.75\\\sqrt{3.75} \\[/tex]

≈ ±1.94

Answer:

[tex]\boxed{\sf Option \ 3}[/tex]

Step-by-step explanation:

When x is -2, F(x) is undefined.

When x is -1, F(x) is -3.

If we see the third option,

[tex]F(x)=\sqrt{x+1} -3[/tex]

When x is -2, we get the square root of -1, which is undefined.

When x is -1, we get the square root of 0, which is just 0, 0-3 is -3.

Answer:

2<F(x)<5

Step-by-step explanation:

We can guess that it come between 2 and 5 given the pattern that we see in the table, but there’s no reason we can’t solve it to be sure.

F(x)=3 (Times the square root of 1.5-1)+2

3(square root of .5)+2

3(0.7)+2

2.12+2

4.12

So, yes, it is between 2 and 5

2<F(x)<5

Answer:

Hey there!

That would be the square root of 36, or 6.

Hope this helps :)

Answer:

[tex] r = 17.5 [/tex]

Step-by-step explanation:

Given ∆TRS,

Where,

m < R = 105°

TR = s = 15

RS = t = 6

ST = r = ?

Find r using the Law of Cosines.

[tex] r^2 = s^2 + t^2 - 2*s*t*cos(R) [/tex]

Plug in the values stated above into the formula

[tex] r^2 = 15^2 + 6^2 - 2*15*6*cos(105) [/tex]

[tex] r^2 = 225 + 36 - 180*(-0.2588)[/tex]

[tex] r^2 = 261 + 46.584 [/tex]

[tex] r^2 = 307.584 [/tex]

[tex] r = \sqrt{307.584} [/tex]

[tex] r = 17.5 [/tex] (to the nearest tenth)

Answer: P(t) = $1000*2^t

Step-by-step explanation:

Ok, we know that in the week 1 the price is: p = $1000

After one week, the price doubles, so here we have: p = 2*$1000

After another week, the price doubles again, here the price is:

p = 2*(2*$1000) = $1000*2^2

Here we already can see the relation, for each week, we multiply the previous price by two, which will increase the exponent in the two by 1 unit.

Then, for week number t, the price will be:

P(t) = $1000*2^t

Answer: B

Step-by-step explanation:

4,8 and 6 all go into 24

Answer:

Dilation factor of 3

Step-by-step explanation:

First you wil want to find out the the coordinates for each of the shapes:

Regular:

P =9,6

Q =3,6

R =6,3

S =3,3

Prime notation:

P' =3,2

Q' =1,2

R' =2,1

S' =1,1

Then using great old common sense in the picture you will see 3 units go down to 1 unit which will indicate Dilation factor of 3 as the answer!

Hope this helps!

Answer:

The Dilation of the polygon would be 3

Step-by-step explanation:

The reason the answer shall be three is because if you look at both polygons and then look at their angles you should come to notice that the angle coordinates for the polygon that has been used for dilation multiplied by 3 would be congruent to the dilated shape, so in short look at lets say... the top right angle of both polygons, look at both of them and multiply the shape that has not been dilated and multiply that top right angle by whatever equals the dilated shapes angle value, for example (3,3)x3 = (9,9), thus the answer would be that the dilation is equal to 3.

Hope this helps, have a great day, and please consider giving me a Brainliest!!! ;)

Answer:

x < 6

Step-by-step explanation:

open circle < or >, closed circle ≤ or ≥

Answer:

[tex]\boxed{6\sqrt{6} }[/tex]

Step-by-step explanation:

[tex]\sqrt{12} \sqrt{18}[/tex]

Multiply square roots.

[tex]\sqrt{12 \times 18}[/tex]

[tex]\sqrt{216}[/tex]

Simplify square root.

[tex]\sqrt{36} \sqrt{6}[/tex]

[tex]6\sqrt{6}[/tex]

Answer: M^10

Step-by-step explanation:

since the base number is the same, just add up the exponents: 2+5+3=10

Answer:

Step-by-step explanation:

If its like M^2 x M^5 x M^3 (exponents)

then just add 2+5+3=10

so M^10

Its a rule when the bottom (M) is the same you add the exponents.

If its 2M x 5M x 3M then you multiply

2x5x3=30

so 30M

Hope this helps!

Answer:

Since Manish hit the target 25 - 5 = 20 times, he earned 15 * 20 = ₹ 300. Since he missed 5 times, he lost 5 * 5 = ₹ 25, therefore, he only earned 300 - 25 = ₹ 275.

Answer:

Manish hit the target=25-5=20times

He he earned=15×20=₹300

Since he missed 5 times he lost 5×5=₹25

Therefore,he only earned 300-25=₹275

I HOPE YOU LIKE IT. THIS IS THE CORRECT ANSWER

Answer:

Step-by-step explanation:

[tex]A = (-2, -4) \\ B = (-8, 4) \\ d = (\sqrt{( {x_2 - x_1})^{2} + ({y_2 - y_1})^{2} } [/tex]

[tex]x_1 = - 2 \\ y_1 = - 4 \\ x_2 = - 8 \\ y_2 = 4[/tex]

[tex]d = \sqrt{ {( - 8 - ( - 2)}^{2} + {(4 - ( - 4))}^{2} } \\ d= \sqrt{ {( - 6)}^{2} + {8}^{2} } \\ d = \sqrt{36 + 64} \\ [/tex]

[tex]d = \sqrt{100} \\ d = 10[/tex]

Answer:

10

Step-by-step explanation:

Answer:

106°

Step-by-step explanation:

Given that the points B, C and D are colinear, it means that

2x + 40 = 5x + 10

collecting like terms

40 - 10 = 5x - 2x

3x = 30

x = 10

Hence the angle ∠E

= 5(10) + 10

= 60°

∠BCE = X + 4

= 10 + 4

= 14°

Given that the sum of angles in a triangle is 180°

∠D + 14 + 60 = 180

∠D = 180 - 74

= 106°

Answer:

A.{7}^{15}

[tex]4.7475615 {}^{12}[/tex]

Step-by-step explanation:

[tex]( {7}^{5} ) {}^{3} = {7}^{5} =(16807) {}^{3}=4.7475615 {}^{12} [/tex]

Hope this helps ;) ❤❤❤

Answer:

Approximately 11.5 units.

Step-by-step explanation:

We need to find the side opposite to ∠W. We are given the two angles ∠W and ∠X. We are also given that Side X is equal to 7. Therefore, we can use the Law of Sines.

Now, like last time, use the Law of Sines:

[tex]\frac{\sin(V)}{v}=\frac{\sin(W)}{w}=\frac{\sin(X)}{x}[/tex]

We can ignore the first term. Plug in 144 for ∠W, 21 for ∠X, and 7 for x.

[tex]\frac{\sin(144)}{w}=\frac{\sin(21)}{7}[/tex]

Cross multiply:

[tex]7\sin(144)=w\sin(21)\\w=\frac{7\sin(144)}{\sin(21)} \\v\approx11.4812\approx11.5[/tex]

Answer:

43cm

Step-by-step explanation:

Given

Length of Log = 291cm

First Piece = 67cm

Second Piece = 181cm

Required

Determine the length of the third piece

Given that the log was cut into three;

this implies that;

Length of Log = First Piece + Second Piece + Third Piece

Substitute values for first piece, second piece and length of log;

[tex]291 = 67 + 181 + Third\ Piece[/tex]

[tex]291 = 248 + Third\ Piece[/tex]

Subtract both sides by 248

[tex]291 - 248 = 248 - 248 + Third\ Piece[/tex]

[tex]43 = Third\ Piece[/tex]

[tex]Third\ Piece = 43[/tex]

Hence, the length of the third piece is 43cm

Answer:

$ 27.6.

Step-by-step explanation:

Let the cost of tea be C.

Let the mass of tea be M

From the question given, we were told that the cost of tea varies directly with the mass. This can be expressed as:

C & M

C = KM

K is called constant of proportionality.

C is the cost of the tea.

M is the mass of tea.

Next, we shall determine the constant of proportionality, K.

Cost (C) = $ 10.35

Mass (M) = 4.5 kg

Constant (K) =..?

C = KM

10.35 = K × 4.5

Divide both side by 4.5

K = 10.35/4.5

K = 2.3

Finally, we shall determine the cost of 12kg of tea as follow:

Mass (M) = 12 kg

Constant (K) = 2.3

Cost (C) =..?

C = KM

C = 2.3 × 12

C = $ 27.6

Therefore, the cost of 12 Kg of tea is $ 27.6

Answer:

$27.6

Step-by-step explanation:

10.35 divided by 4.5 = 2.3

$2.3 for 1 kg

2.3 times 12= 27.6

Answer:

The ratio of the volume of the larger sphere to the volume of the smaller sphere is

Step-by-step explanation:

Volume of a sphere is

[tex] \frac{4}{3} \pi {r}^{3} [/tex]

Where r is the radius

radius = diameter / 2

For First sphere

diameter = 8yards

radius = 8 / 2 = 4 yards

Volume of first sphere is

[tex] \frac{4}{3} \pi( {4})^{3} \\ \\ = \frac{256}{3} \pi \: {yd}^{3} [/tex]

For second sphere

diameter = 1064 yards

radius = 1064 / 2 = 532 yards

Volume of second sphere is

[tex] \frac{4}{3} \pi( {532})^{3} \\ \\ = \frac{602275072}{3} \pi \: {yd}^{3} [/tex]

Since the volume of the second sphere is the largest

Ratio of the second sphere to the first one is

[tex] \frac{602275072}{3} \pi \div \frac{256}{3} \pi \\ \\ = \frac{602275072}{3} \pi \times \frac{3}{256} \pi \\ \\ = \frac{602275072}{256} \\ \\ = \frac{ 2352637}{1} \\ \\ = 2352637: 1[/tex]

Hope this helps you

Answer:

4000 nm

Step-by-step explanation:

Conversion from meters to nanometers: 1 meter is 1(10⁹) nm

Step 1: Convert 0.000004 to scientific notation

0.000004 = 4(10⁻⁶)

Step 2: Convert by multiplication

4(10⁻⁶) x 1(10⁹) = 4000 nm