Point a and b are on the different sides of line l the distance between a and line l is 10 the distance between line l and b is 4 what is the ditance between o and line l

Answer:

19.82%

Step-by-step explanation:

Add all members that want weight lifting

47 + 21 + 14 + 29 = 111

111 / total members

111 / 560 = 0.1982

0.1982 * 100% = 19.82%

Answer:

33% of 100% of men

Step-by-step explanation:

Add 50 + 19 + 24 = 93

(amount of men doing anything other than lifting) 93÷140= 0.664 (about 66%)

(amount of men lifting) 47÷140= 0.335 (about 33-34%)

So 33% out of 100% of men would lift.

Answer: X > 3

Step-by-step explanation:

You want to subtract 14 on both sides and you will get -3x < -9. Then you divide -3 on both sides -3x/3  > -9/-3 and you should end up with x < 3. Since you divided by the negative number you switch the sign from ">" to "<"

Hope this helps and sorry if it did not.

Ruby lost $45 so she can enter it into her account as this: C. -$45

Answer:

Use Simple Interest Formula=PrT/100

SI=$1800×5×6/12÷100

=4500/100

=$45

Step-by-step explanation:

$45 is the interest that's gonna be owed after 6months so therefore the total $ she owed after 6 months would be: $45 + $1,800=$1,845.

Answer:

(4m - 5)+ (3m + 3) =180°

4m - 5 + 3m + 3 =180°

4m + 3m -5 + 3 =180°

7m - 2 =180°

7m = (180 + 2)°

7m =182°

m = 182°/ 7

m = 26

Answer:

m = 26 degrees.

4m - 5 + 3m + 3 = 180

Combine like terms:

7m - 2 = 180

+2           +2

7m = 182

Divide by 7 on both sides:

M = 26

Step-by-step explanation:

Let's double check!

4 x 26 = 104, 104 - 5 = 99

3 x 26 = 78, 78 + 3 = 81

99 + 81 = 180 it fits!

Answer:

620.63

Step-by-step explanation:

use the formula given

r= interest rate

n= numer of times it's compounding in a year

t= time

p= principle amount

[tex]400(1+\frac{.04}{12})^{12*11}=620.628[/tex]

Answer:

1/3

Step-by-step explanation:

The numbers on a die are 1,2,3,4,5,6

The numbers that are not prime 4,6

P( not prime) = number of numbers that are not prime/ total

                      =2/6  =1/3

Answer: (x-5)(x^2+16)

Answer: The left is 2 and the right 7

Step-by-step explanation: 1 + 14 = 15  

2 + 7 = 9  Hope this helped!!

Answer:

x=3

Step-by-step explanation:

8x-2(x - 5) = x + 25

Distribute

8x -2x+10 = x+25

Combine like terms

6x +10 = x+25

Subtract x from each side

6x-x +10 = x+25-x

5x +10 = 25

Subtract 10 from each side

5x-10+10 =25-10

5x= 15

Divide each side by 5

5x/5 =15/5

x=3

Answer:

A. x = 3

Step-by-step explanation:

8x- 2(x - 5) = x + 25

Using distributive property

8 x - 2 x - 10 = x + 25

combine like terms

6 x - 10 = x + 25

subtract both side from x

6 x - x - 10 = x - x + 25

5 x - 10 = 25

Add 10 to both side

5 x - 10 + 10 = 25 - 10

5 x = 15

Divide both side by 5

5 x / 5 = 15 / 5

x = 3

Answer:

Step-by-step explanation:

85=5x+10

85-10=5x

75/5=x

15=x

Answer:

y = 3 + 12x - - - (1)

y = 9 + 10x - - - (2)

3 albums

$39

Step-by-step explanation:

Let number of download = x

Given :

I-moon :

Initial joining fee = $3

Cost per download = $12

Hence,

y = 3 + 12x - - - (1)

I - Toons :

Initial joining fee = $9

Cost per download = $10

y = 9 + 10x - - - (2)

For cost to be the same ;

Equate (1) and (2)

3 + 12x = 9 + 10x

Collect like terms

3 - 9 = 10x - 12x

-6 = - 2x

x = 3

It will take 3 albums

Cost :

3 + 12(3)

3 + 36 = 39

Answer:

16√6 is correct

Step-by-step explanation:

Algebra

Make an equation to make the equation equal 12.

[tex]2x - 13 + x + 4 = 12[/tex]

Combine Like-Terms.

Make an equation.

[tex]3x - 9 = 12[/tex]

Add nine to both sides.

[tex]3x = 21[/tex]

Divide both sides by three.

[tex]x = 7[/tex]

Answer:

A and C (they are same equation)

x^2-4=0

x^2=4

x can be 2 and -2

2^2=4

-2^2=4

Step-by-step explanation:

prove

b.

x-4=0

X=4 (one solution)

d.

x+4=0

X=-4 (one solution)

Answer:

Step-by-step explanation:

Complementary          Supplementary

40°,50°                          90°,90°

45°,45°                          80°, 100°

60°,30°                         60°,120°

Answer:

b^(m-n)

Step-by-step explanation:

Answer:b^m+n

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

5/3 + 3/4 *8/9

First multiply

I like to rewrite to simplify

5/3 + (3/9 *8/4)

5/3 + (1/3 * 2/1)

5/3 + 2/3

Add ( they have like denominator)

7/3

Given:

The function is:

[tex]f(x)=\sin x[/tex]

The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.

To find:

The effect on the graph of the function.

Solution:

The transformation is defined as

[tex]g(x)=kf(x)+b[/tex]                .... (i)

Where, k is stretch factor and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.  

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:

[tex]g(x)=2f(x)+3[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]k=2[/tex], it means the graph is vertically stretched by a factor of 2.

[tex]b=3[/tex], it means the graph is shifted up 3 units.

Therefore, the correct option is D.

Answer:

D.) The graph is vertically stretched by a factor of 2 and shifted up 3 units

Step-by-step explanation:

best of luck to you all~! You are the best <3

Answer:

(- 6, 8 )

Step-by-step explanation:

Given the 2 equations

y = - [tex]\frac{1}{3}[/tex] x + 6 → (1)

x = - 6 → (2)

Substitute x = - 6 into (1) and evaluate for y

y = - [tex]\frac{1}{3}[/tex] × - 6 + 6 = 2 + 6 = 8

solution is (- 6, 8 )

Answer:

y=1/3x+3

Step-by-step explanation:

the general equation for a straight line is y=mx+c.where c is the y cut therefore the y cut on our graph is at (0,3)therefore c is 3

we then find the gradient which is "m" on our equation using the formula m=y2-y1/x2-x1

then we substitute the m and c then tha is the equation.

Answer:

Step-by-step explanation:

Answer:

alternate interior, 37 degrees

step-by-step explanation:

these are alternate interior angles and alternate interior angles are always equal :)

Step-by-step explanation:

3×‐9×-5y-2y =0-7

-6x-7y =-7

Answer:

[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]

Step-by-step explanation:

                         3x - 5y = 4 ----------- ( 1 )

                         9x - 2y = 7 -----------( 2 )

                 ______________________

( 1 ) x 9  =>       27x - 45y = 36   ----------------- ( 3 )

( 2) x 3 =>        27x - 6y = 21     -------------------( 4 )

                  _____________________

( 3 )  =>          27x - 45y = 36

- ( 4 ) =>         -27x + 6y = - 21

                   ____________________

( 3 ) - ( 4 ) =>     0x - 39y = 15

                            -39y = 15

                                [tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]

Substitute y in ( 1 ) :

                     [tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]                        

Answer: [tex]15.3\ \text{units}[/tex]

Step-by-step explanation:

Given

Coordinates of the corners are D(-2,-1), E(3,2), and F(0,4)

Length DE is

[tex]\Rightarrow DE=\sqrt{(2+1)^2+(3+2)^2}\\\Rightarrow DE=\sqrt{(3)^2+(5)^2}\\\Rightarrow DE=\sqrt{34}\ \text{units}[/tex]

Length EF is

[tex]\Rightarrow EF=\sqrt{(4-2)^2+(0-3)^2}\\\Rightarrow EF=\sqrt{(2)^2+(-3)^2}\\\Rightarrow EF=\sqrt{13}\ \text{units}[/tex]

Length FD is

[tex]\Rightarrow FD=\sqrt{(4+1)^2+(0+2)^2}\\\Rightarrow FD=\sqrt{(5)^2+(2)^2}\\\Rightarrow FD=\sqrt{29}\ \text{units}[/tex]

Perimeter of the triangle is

[tex]\Rightarrow DE+EF+FD=\sqrt{34}+\sqrt{17}+\sqrt{29}\\\Rightarrow DE+EF+FD=15.3\ \text{units}[/tex]

Answer:

Step-by-step explanation:

Set up a right triangle to reflect the tangent ratio. Tangent is equal to the side opposite the reference angle over the side adjacent to the reference angle. If tangent is 4/3, then the side opposite the reference angle is 4 in length and the side adjacent is 3 in length. The reference angle, just for clarification, is the base angle that is not the right angle. So we have a right triangle with a height of 4 and a base of 3. We need the sin ratio from that. The sin ratio by definition is the side opposite the reference angle over the hypotenuse. But we don't have the hypotenuse. We have to solve for it using Pythagorean's Theorem.

[tex]h^2=4^2+3^2[/tex] and

[tex]h^2=16+9[/tex] and

[tex]h^2=25[/tex] so

h = 5. Now we find the sin ratio to be 4/5 (the side opposite the reference angle over the hypotenuse).

Answer:

144

Step-by-step explanation:

Plug in a and b

In this case a=4, b=3

(ab)^2

( (4)(3) )^2

(12)^2

12x12

144

If this helps please mark as brainliest

Answer:

144

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

(ab)²

a = 4

b = 3

Step 2: Evaluate

Answer:

67.3 degrees

Step-by-step explanation:

Use tan ^-1

tan^-1 (55/23) = 67.3

Answer:

57.11 m

Step-by-step explanation:

The formula for the volume of a cylinder of radius r and length h is

V = πr²h.  We want to solve this formula for d, the diameter of the cylinder.  

Start by solving the equation V = πr²h for r²:  divide both sides by πh.

                    V

Then r² = -------------

                  πh

                                                                                  51207 m³

Substituting 20  for h and 3.14 for π, we get r² = ------------------   or:

                                                                                   3.14(20 m)

r² = 815.40 m²

Find the radius by taking the square root of both sides of the previous result:

r = 28.56 m

The diameter is twice the radius, and therefore the diameter here

is d = 2(28.56) m = 57.11 m

Answer:

I think it's A because 98÷14=7, 63÷9=7, 14÷2=7

Step-by-step explanation:

And all of those can be divided they even get the same numbers when you divide them which is 7.

Answer:

615.75

Step-by-step explanation:

A=4 times pi times r squared

4 times pi times 49 = 615.752160104

Round it to 615.75