Write 2.4 as a mixed number and as an improper fraction.<br> Write your answers in simplest form.

Please Help Me I'm So Lost

Zolol [24]

Answer:

im lost 2

Step-by-step explanation:im sorry T-T

3 0

3 years ago

Hector solves this equation:

disa [49]

Answer:

9x+8=23 HOPE THIS HELPS

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

17+7x−9=19−2x+4

17+7x+−9=19+−2x+4

(7x)+(17+−9)=(−2x)+(19+4)(Combine Like Terms)

7x+8=−2x+23

Step 2: Add 2x to both sides.

7x+8+2x=−2x+23+2x

9x+8=23

Step 3: Subtract 8 from both sides.

9x+8−8=23−8

9x=15

Step 4: Divide both sides by 9.

9x /9 = 15 /9

x= 5 /3

7 0

3 years ago

How many pages in one hour<br> How many in 3 hours

salantis [7]

220 pages in 3 hours
20 pages very 30 minutes so
So 1.5 minutes per page

6 0

3 years ago

Can someone help me please!

nataly862011 [7]

Answer:

Its between two and three.

Step-by-step explanation:

If you multiply 2/3 times four it would give you 2.3. So, its between two and three. B

4 0

3 years ago

The angles of depression of two ships from the top of the light house are 45° and 30° towards east. If the ships are 200 m apart

azamat

Answer:

273 meters

Step-by-step explanation:

See image attached for the diagram I used to represent this scenario.

The distance between the ships, at angles 30 and 45, is 200 meters. The distance between the left ship and the lighthouse is x meters.

We can use trigonometric ratios to solve this problem. We can use the tangent ratio $\big{(} \frac{\text{opposite}}{\text{adjacent}} \big{)}$ to create an equation with the two angles.

$\displaystyle \text{tan(45)} = \frac{h}{x}$
$\displaystyle \text{tan(30)} = \frac{h}{x+200} }$

Let's take these two equations and solve for x in both of them.

<h2> $\textbf{Equation I}$ </h2>

$\displaystyle \text{tan(45)} = \frac{h}{x}$

tan(45) = 1, so we can rewrite this equation.

$\displaystyle 1=\frac{h}{x}$

Multiply x to both sides of the equation.

$\displaystyle x = h$

<h2> $\textbf{Equation II}$ </h2>

$\displaystyle \text{tan(30)} = \frac{h}{x+200} }$

Multiply x + 200 to both sides and divide h by tan(30).

$\displaystyle \text{x + 200} = \frac{h}{\text{tan (30)}}$

Subtract 200 from both sides of the equation.

$\displaystyle \text{x} = \frac{h}{\text{tan (30)}} - 200$

Simplify h/tan(30).

$x=\sqrt{3}h - 200$

<h2> $\textbf{Equation I = Equation II}$ </h2>

Take Equation I and Equation II and set them equal to each other.

$h=\sqrt{3}h-200$

Subtract √3 h from both sides of the equation.

$h-\sqrt{3}h=-200$

Factor h from the left side of the equation.

$h(1-\sqrt{3}) =-200$

Divide both sides of the equation by 1 - √3.

$\displaystyle h=\frac{-200}{1-\sqrt{3} }$

Rationalize the denominator by multiplying the numerator and denominator by the conjugate.

$\displaystyle h=\frac{-200}{1-\sqrt{3} } \big{(} \frac{1+\sqrt{3} }{1+\sqrt{3}} \big{)}$
$\displaystyle h=\frac{-200+200\sqrt{3} }{1-3}$
$\displaystyle h =\frac{-200+200\sqrt{3} }{-2}$

Simplify this equation.

$\displaystyle h=100+100\sqrt{3}$
$h=273.20508075$

The height of the lighthouse is about 273 meters.

5 0

3 years ago

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Write 2.4 as a mixed number and as an improper fraction. Write your answers in simplest form.