a hiker climbs down a 90 foot hill in five minutes what is his average change in elevation per minute

Write the values that make the denominators zero. then solve the equation?

Olin [163]

Answer:

denominators are zero for x=1

there is no solution

Step-by-step explanation:

We suspect your equation is supposed to be ...

10/(5x -5) +1/5 = 2/(x -1) . . . . . parentheses are required on denominators

The denominators will be zero for x=1.

This version of the equation has no solution. It simplifies to ...

2/(x-1) + 1/5 = 2/(x -1)

1/5 = 0 . . . . . subtract 2/(x-1) from both sides

There is no value of x that will make this equation true.

_____

<em>Alternative interpretation</em>

The way your equation is written, it must be interpreted according to the order of operations to be ...

(10/5)x -5 +1/5 = (2/x) -1 . . . . x=0 makes the denominator zero

2x -3.8 = 2/x

2x^2 -3.8x = 2 . . . . multiply by x

2(x^2 -1.9x +.95^2) = 2 +2(0.95^2)

(x -0.95)^2 = 1.9025

x = 0.95 ± √1.9025 ≈ {-0.4293, 2.3293}

4 0

3 years ago

In right triangle CAB, find the hypotenuse, CB<br> A 4 root 13<br> B 20<br> C 4 root 5<br> D 208

svetoff [14.1K]

Answer:

Step-by-step explanation:

4 0

3 years ago

There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to

Kitty [74]

<h2>Hello!</h2>

The answer is:

The height of the lightning rod is 27.4 feet.

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

$tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}$

To the top of the lightning rod:

$tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}$

Now, isolating we have:

$tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet$

Also, we have that:

$tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet$

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

$LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet$

Rounding to the nearest foot, we have:

$LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet$

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0

3 years ago

A cylinder has volume 63 cm3. What is the volume of a cone with the same radius and height?

aev [14]

it's answer is

volume of a cone = 21

7 0

3 years ago

Kevin uses 36 ounces of dried apples and 18 ounces of

aliina [53]

Answer:

6 containers

6 ounces of fruit snack will be left over

Step-by-step explanation:

1 pound = 16 ounces

⇒ ¹/₂ pound = 8 ounces

Total weight = weight of dried apples + weight of dried cranberries

= 36 + 18

= 54 ounces

Containers needed = total weight ÷ weight of snacks in one container

= 54 ÷ 8

= 6.75

Therefore, he will fill 6 containers

Snack left over = total weight - (number of containers × weight of snacks one container will hold)

= 54 - (6 × 8)

= 54 - 48

= 6 ounces

8 0

2 years ago