The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.

Answer:

Step-by-step explanation:

No Graph

Step-by-step explanation:

x^2 + 3x - 28 = 0

x^2 - 7x + 4x - 28 = 0

x(x-7) + 4(x-7) = 0

(x+4)(x-7)= 0

x+4=0 or x-7=0

x= -4 or x=7

Hello!

0.4x + 3 = 0.2(3x + 1) - x

0.4x + 3 = 0.6x + 0.2 - x

0.4x + 3 = -0.4x + 0.2

0.4x + 0.4x = 0,2 - 3

0.8x = -2.8

x = -2.8 : 0.8

x = -7/2

Good luck! :)

Answer:

93.2°

Step-by-step explanation:

[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex]  ... c =48.8

a =180-(38+48.8) = 93.2

Answer:

Answer:

48

Step-by-step explanation:

let the number be x and x + 16 the result of adding 16 to it, then

the ratio of the result to the original is

[tex]\frac{x+16}{x}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )

4x = 3(x + 16)  = 3x + 48 ( subtract 3x from both sides )

x = 48

Answer:

−8s4u2+2s2ux+6x2

Step-by-step explanation:

=(6x+8us2)(x+−s2u)

=(6x)(x)+(6x)(−s2u)+(8us2)(x)+(8us2)(−s2u)

=6x2−6s2ux+8s2ux−8s4u2

=−8s4u2+2s2ux+6x2

Answer:

6x² + 2xus² - 8u²s^4

Step-by-step explanation:

(6x+8us²)(x-us²)

6x² - 6xus² + 8xus² - 8u²s^4

6x² + 2xus² - 8u²s^4

Answer:

AM = 25, AC = 15, CM = 20

Step-by-step explanation:

The given parameters are;

In ΔACM, ∠C = 90°, [tex]\overline{CP}[/tex] ⊥ [tex]\overline{AM}[/tex], AP = 9, and PM = 16

[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = [tex]\overline{AM}[/tex]²

[tex]\overline{AM}[/tex] = [tex]\overline{AP}[/tex] + PM = 9 + 16 = 25

[tex]\overline{AM}[/tex] = 25

[tex]\overline{AC}[/tex]² = [tex]\overline{AP}[/tex]² + [tex]\overline{CP}[/tex]² = 9² +  [tex]\overline{CP}[/tex]²

∴ [tex]\overline{AC}[/tex]² = 9² +  [tex]\overline{CP}[/tex]²

Similarly we get;

[tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]²

Therefore, we get;

[tex]\overline{AC}[/tex]² + [tex]\overline{CM}[/tex]² = 9² +  [tex]\overline{CP}[/tex]² + 16² + [tex]\overline{CP}[/tex]² = [tex]\overline{AM}[/tex]² = 25²

2·[tex]\overline{CP}[/tex]² = 25² - (9² + 16²) = 288

[tex]\overline{CP}[/tex]² = 288/2 = 144

[tex]\overline{CP}[/tex] = √144 = 12

From [tex]\overline{AC}[/tex]² = 9² +  [tex]\overline{CP}[/tex]², we get

[tex]\overline{AC}[/tex] = √(9² +  12²) = 15

[tex]\overline{AC}[/tex] = 15

From, [tex]\overline{CM}[/tex]² = 16² + [tex]\overline{CP}[/tex]², we get;

[tex]\overline{CM}[/tex] = √(16² + 12²) = 20

[tex]\overline{CM}[/tex] = 20.

[tex]\bf \large \hookrightarrow \:( - 9) \: \times \: 5 \: \times \: 6 \: \times \: ( - 3) \\ \\ \bf \Large \hookrightarrow \: \: \: - 45 \: \times \: ( - 18) \\ \\ \bf \Large \hookrightarrow \: \: 810[/tex]

Answer81 is the lowest you can get on the last test and still get a B.

Step-by-step explanation:I used the mean average and guess and check.

Answer:

83+ 75+ 83+ 78=319

319 divided by 4=79.75 so a high c

83+ 75+ 83+ 78+80=399

399 divided by 5=79.8 not quite

83+ 75+ 83+ 78+85=404

404 divided by 5=80.8

83+ 75+ 83+ 78+81=400

400 divided by 5=80

so you have to get a 80 to still get a b

Answer:

thomas is 25 years old

Step-by-step explanation:

ratio = 3:1

3+1=4

total age=100

Thomas age = 1/4 × 100 = 25

Answer:

Step-by-step explanation:

Given a triangle with angles 60° and 60°. Let the third angle be represented by x, so that;

x + 60° + 60° = [tex]180^{o}[/tex] (sum of angle in a triangle)

x + 120 = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - 120

x = 60°

Thus, since the third angle of the triangle is 60°, then the triangle is an equilateral triangle. For an equilateral triangle, all sides are equal and all its angles are equal. So that the other sides of the triangle is 10 each.

<ABC ≅ <BAC ≅ < ACB ≅ 60°

AB = BC = AC = 10 cm

The required construction for the question is attached to this answer for more clarifications.

Answer:

It's an obtuse angle

Step-by-step explanation:

Answer:

7 in.

Step-by-step explanation:

2L + 2W = 16

Try L = 7

2(7) + 2W = 16

14 + 2W = 16

2W = 2

W = 1

If the length is 7 in., then the width is 1 in. That is perfectly acceptable, so L = 7 in. is a good value.

Try L = 8

2(8) + 2W = 16

16 + 2W = 16

2W = 0

W = 0

A length of 8 would make a width of 0. You can't have a rectangle with 0 width, so L = 8 does not work.

When L = 9 or L = 10, the width would be negative. The width of a rectangle cannot be a negative number, so these values doe not work.

Answer: 7 in.

Answer:

x = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{x}[/tex]  = [tex]\frac{1}{2}[/tex] ( cross- multiply )

x = 2[tex]\sqrt{2}[/tex]

Answer:

Solution given:

Relationship between perpendicular and hypotenuse is given by sin angle

Sin 30°=opposite/hypotenuse

½=[tex]\frac{\sqrt{2}}{x}[/tex]

x=2*[tex]\sqrt{2}[/tex]

The value of x is 2[tex]\sqrt{2}[/tex]

Answer:

3/4 = 0.75

- 1 - 2 - 3 - 4

3/4 so its 321 colored

Step-by-step explanation:

Answer:

mine ended june 9th but i got summer school for 2 classes lol

School ended the 15 of June but I'm in summer school rn it ends this Friday

Answer:

Step-by-step explanation:

it is incorrect at step 3

it should be 12*10^(9-5)

=12*10^4

Answer:

2 or 8

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

Given the following number;

183184

Taking the square root, we have;

√183184 = 428

Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.

Answer: C. (−4, 0), (2, 0)

Step-by-step explanation:

By solution, I believe it means the roots of the equation(aka zeros), meaning the points where the graph intersects the x-axis(aka x-intercepts). It intersects at two points: (−4, 0) and (2, 0)

Answer:

Step-by-step explanation:

I got it right on my 8.06 exam! ✨ Keep believing, superstar!

and go see Sing 2 for me..its an awesome movie and it'll make u smile!

Answer:

B. Point B

Step-by-step explanation:

Answer:

-8xy

Step-by-step explanation:

Expand  

( x − 2 y ) ( x − 2 y )

x ⋅ x + x ( − 2 y ) − 2 yx − 2 y ( − 2 y ) − ( x+ 2 y ) ( x + 2 y )

x2−4xy+4y2−(x+2y)(x+2y)

x2−4xy+4y2+(−x−(2y))(x+2y)

Multiply2by−1.x2−4xy+4y2+(−x−2y)(x+2y)

x2−4xy+4y2−x⋅x−x(2y)−2yx−2y(2y)

x2−4xy+4y2−x2−4xy−4y2

− 8xy

Answer:

son Judy even eat and technology and yyry and then he will get your BMW

Answer:

I think it's 155 cm

Step-by-step explanation:

=(5×5×3)+(5×2×4)

= 75+40

= 155 cm2

Answer:

a = 4

b = -2

Step-by-step explanation:

If the given function is continuous at x = 1

[tex]\lim_{x \to 1^{-}} f(x)=(x+1)[/tex]

                     [tex]=2[/tex]

[tex]\lim_{x \to 1^{+}} f(x)=ax+b[/tex]

                     [tex]=a+b[/tex]

[tex]\lim_{x \to 1} f(x)=ax+b[/tex]

                   [tex]=a+b[/tex]

And for the continuity of the function at x = 1,

[tex]\lim_{x \to 1^{-}} f(x)=\lim_{x \to 1^{+}} f(x)=\lim_{x \to 1} f(x)[/tex]

Therefore, (a + b) = 2 -------(1)

If the function 'f' is continuous at x = 2,

[tex]\lim_{x \to 2^{-}} f(x)=ax+b[/tex]

                     [tex]=2a+b[/tex]

[tex]\lim_{x \to 2^{+}} f(x)=3x[/tex]

                     [tex]=6[/tex]

[tex]\lim_{x \to 2} f(x)=3x[/tex]

                   [tex]=6[/tex]

Therefore, [tex]\lim_{x \to 2^{-}} f(x)=\lim_{x \to 2^{+}} f(x)=\lim_{x \to 2} f(x)[/tex]

2a + b = 6 -----(2)

Subtract equation (1) from (2),

(2a + b) - (a + b) = 6 - 2

a = 4

From equation (1),

4 + b = 2

b = -2

Answer:

Step-by-step explanation:

The formula for this is

14(20) = 25x and

280 =25x so

x = 11.2

Answer:

The angle ACB = 50 degree.

Step-by-step explanation:

Given that angle E = 40 degree

Angle D = 90 degree

Triangle ABC is congruent to triangle DEC.

Now Angle ACB = Angle ECD = 90 -40 = 50 degree

So, angle ACB = 50 degree.

Answer:

Step-by-step explanation:

m∠2 =  [tex]\frac{1}{2}[/tex](55+41)

m∠2 =   [tex]\frac{1}{2}[/tex](96)

m∠2 =48°

m∠1 = 180-48 = 132°

Answer:

13.9188 dollars

Step-by-step explanation:

1.1599 * 12 = 13.9188

Answer:

1 gallon fill = $1.1599

Step-by-step explanation:

we have to fill 12-gallons

Simple-Answer:

12 gallon  = 12 * $1.1599

12 gallon = $13.9188

Hello,

M=middle[AB]

The triangle ABC is equilateral :

x= 15/2