2. Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"

To the nearest millimeter, a cell phone is 82 mm long and 36 mm wide. What is the ratio of the width to the length?

iVinArrow [24]

<h2>The ratio of the width to the length of a cell phone is 18 : 41.</h2>

Step-by-step explanation:

Given,

The length of a cell phone(l) = 82 mm and

The width of a cell phone(b) = 36 mm

Find, the ratio of the width to the length of a cell phone = ?

∴ The ratio of the width to the length of a cell phone

= 36 mm : 82 mm

= 36 : 82

Divided by 2, we get

= $\dfrac{36}{2}$ : $\dfrac{82}{2}$

= 18 : 41

Thus, the ratio of the width to the length of a cell phone is 18 : 41.

3 0

3 years ago

Each row in the table below shows one possible set of angle measurements for this drawing

creativ13 [48]

Applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.

<h3>What are Angles on a Straight Line?</h3>

Angles found on a straight line equals 180 degrees.

<h3>What area Vertcial Angles?</h3>

Vertical angles are congruent angles that lie directly opposite each other.

Second Row:

m∠LGK = 45° (given in the diagram)

m∠IGH = 35° (given in the table)

m∠KGJ = m∠IGH (vertical angles)

m∠KGJ = 35°

m∠JGI = 180 - m∠KGJ (angles on a straight line)

m∠JGI = 180 - 35 = 145°

m∠HGL = 180 - m∠LGK - m∠IGH (angles on a straight line)

m∠HGL = 180 - 45 - 35 = 100°

Third Row:

m∠LGK = 45° (given in the diagram)

m∠HGL = 97° (given in the table)

m∠KGJ = 180 - m∠HGL - m∠LGK (angles on a straight line)

m∠KGL= 180 - 97 - 45 = 38°

m∠JGI = 180 - m∠KGJ (angles on a straight line)

m∠JGI = 180 - 38 = 142°

m∠IGH = m∠KGL (vertical angles)

m∠IGH = 38°

Thus, applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.

Learn more about straight line and vertical angles on:

brainly.com/question/14362353

5 0

3 years ago

Solve this simultaneous e<br> x + y = 26<br> 3x + y = 56

trapecia [35]

Answer:

x= 15 and y= 11

Step-by-step explanation:

The goal here is to solve

x + y =26 and

3x + y =56 for the variables x and y.

First, let's work on your first equation, x + y =26

After this initial survey of the equations, the system of equations we'll set out to solve is:

x+y = 26 and 3x+y = 56

Let's start by solving x+y = 26 for the variable x.

Move the y to the right hand side by subtracting y from both sides, like this:

From the left hand side:

y - y = 0

The answer is x

From the right hand side:

The answer is 26-y

Now, the equation reads:

x = 26-y

To isolate the x, we have to divide both sides of the equation by the other variables

around the x on the left side of the equation.

and this is the final solution to your equation.

Next, let's solve 3x+y = 56 for the variable y.

Move the 3x to the right hand side by subtracting 3x from both sides, like this:

From the left hand side:

3x - 3x = 0

The answer is y

From the right hand side:

The answer is 56-3x

Now, the equation reads:

y = 56-3x

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

and this is the final solution to your equation.

Now, plug the earlier result, x=26-y, in for x everywhere it occurs in

y=56-3x.

This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.

26-y evaluates to 26-y

Multiply 3 by 26-y

we multiply 3 by each term in 26-y term by term.

This is the distributive property of multiplication.

Multiply 3 and 26

1

3 × 26 = 78

Multiply 3 and -y

Multiply 1 and y

The y just gets copied along.

y

3 × -y = -3y

3*(26-y) evaluates to 78-3y

56 - 78 = -22

The answer is -22+3y

56-3*(26-y) evaluates to -22+3y

Move the 3y to the left hand side by subtracting 3y from both sides, like this:

From the left hand side:

y - 3y = -2y

The answer is -2y

From the right hand side:

3y - 3y = 0

The answer is -22

Now, the equation reads:

-2y = -22

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

The last step is to divide both sides of the equation by -2 like this:

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

-2y ÷ -2 = y

-22 ÷ -2 = 11

The solution to your equation is:

y = 11

Lastly, to find the solution for x, we plug this answer for y into the earlier result that

x=26-y.

This gives x=26-(11). Now, simplify this.

26-(11) evaluates to 15

x= 15

So, the solutions to your equations are:

x= 15 and y= 11

3 0

3 years ago

Read 2 more answers

What is the answer ?????????????????

muminat

Answer:

The answer is :

$\cos(51) = 0.63$

$\sin(63) = 0.89$

$\tan(12) = 0.21$

6 0

3 years ago

Tim's electricity costs 4.3 ¢ a kilowatt hour. How much will it cost to run the following appliances for 10 hours? (round to the

steposvetlana [31]

Answer:

a Dryer @ 4,000 watts. Cost = 172 cents

a Heater @ 1,500 watts. Cost = 64.5 cents

a Radio @ 40 watts. Cost = 1.72 cents.

Step-by-step explanation:

Given that cost of 1 kilowatt hour = 4.3 cents.

Then cost of 1 kilowatt for 10 hours = 4.3*10 = 43 cents.

4000 watts = 4000/1000 kilowatt = 4 kilowatts

Then cost for running a Dryer for 10 hours = 4*43 = 172 cents.

-----------

1500 watts = 1500/1000 kilowatt = 1.5 kilowatts

Then cost for running a Heater for 10 hours = 1.5*43 = 64.5 cents.

-----------

40 watts = 40/1000 kilowatt = 0.04 kilowatts

Then cost for running a Radio for 10 hours = 0.04*43 = 1.72 cents.

4 0

3 years ago

Read 2 more answers