4 = m/3 - 1 What is m equal to?

A ladder reaches 2m up a wall. The foot of ladder is 0.4m from the wall. For safety reasons, the slope should be between 6.3 and

NeTakaya

Answer:

The slope of ladder is not within the safe range .

Step-by-step explanation:

Given as :

The height of the ladder up a wall = h = 2 meters

The distance of base of ladder from the wall = x = 0.4 meters

The estimated safety range of slope of ladder is between 6.3 and 9.5

Let The slope of the ladder = x

According to question

slope of the ladder = $\dfrac{\textrm height of ladder up wall}{\textrm distance of base of ladder from wall}$

Or, x = $\dfrac{2 meters}{0.4 meters}$

Or, x = 5

So, The slope of the ladder = x = 5

Since The estimated range of slope between 6.3 and 9.5

And The calculate slope of ladder = 5

Hence, The slope of ladder is not within the safe range . Answer

4 0

4 years ago

Peter bought 8 lemons for $6,. Each lemon was the same price. What was the cost for 1 lemon?

Georgia [21]

Answer:

.75 cents

Step-by-step explanation:

7 0

3 years ago

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inc

Bond [772]

The relationship is that two times the volume of cylinder is volume of cone

Solution:

Given that, cylinder and a cone have the same diameter: 8 inches

Diameter = 8 inches

Radius is diameter divided by 2

$radius = \frac{diameter}{2}\\\\radius = \frac{8}{2} = 4$

Radius = 4 inches

Let us find the volume of cylinder and cone

Volume of cylinder:

$volume = \pi r^2 h$

Radius = 4 inches

The height of the cylinder is 3 inches

height = 3 inches

Substituting the values, we get

$volume = 3.14 \times 4^2 \times 3\\\\volume = 3.14 \times 16 \times 3\\\\volume = 150.72$

Thus volume of cylinder is 150.72 cubic inches

Volume of cone:

$volume = \frac{\pi r^2h}{3}$

Radius = 4 inches

The height of the cone is 18 inches

height = 18 inches

Substituting the values, we get

$volume = \frac{3.14 \times 4^2 \times 18}{3}\\\\volume = 3.14 \times 16 \times 6\\\\volume = 301.44$

Thus volume of cone is 301.44 cubic inches

What is the relationship between the volume of this cylinder and this cone?

Volume of cylinder is 150.72 cubic inches

Volume of cone is 301.44 cubic inches

On observing the volume of cylinder and cone, we find that two times the volume of cylinder is volume of cone

$2 \times \text{Volume of cylinder} = \text{Volume of cone}$

$2 \times 150.72 = 301.44\\\\301.44 = 301.44$

Thus the relationship between the volume of this cylinder and this cone is that two times the volume of cylinder is volume of cone

5 0

4 years ago

What is the product of 2x(x+3)

Ad libitum [116K]

Answer

2x^2+6x

Step-by-step explanation:

2x(x+3)

2x*x + 2x *3

2x^2+6x

6 0

3 years ago

Brian's bookshelf hold 38 books each. How many shelves will Brian need if he has 304 books in all?

motikmotik

Answer:

Brian will need 8 book shelves to hold 304 books.

304/38 = 8

Hope this helps!

4 0

4 years ago

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