All categories

2 years ago

A 9 meter ladder is one meter from the base of a building. How high up the building will the ladder reach?

Mathematics

1 answer:

tino4ka555 [31]2 years ago

4 0

Answer: The ladder would reach 8.9 meters up the building

Step-by-step explanation: Please refer to the attached diagram.

The ladder is placed on a wall, which is represented by line AB. It's distance from the base of the building is represented by line CB. To calculate how high up the ladder would reach on the building, we would need to calculate the value of line AC, which has been labelled as b.

What we have as shown in the diagram is a right angled triangle with the Hypotenuse given as 9 and one of the other two sides is given as 1.

We shall apply the Pythagoras theorem which states that

AB² = AC² + CB²

Where AB is the hypotenuse and AC and CB are the two other sides.

9² = b² + 1²

81 = b² + 1

Subtract 1 from both sides of the equation

80 = b²

Add the square root sign to both sides of the equation

√80 = b

8.9443 = b

Approximately, b = 8.9 meters

Therefore the ladder would reach up to 8.9 meters on the building

You might be interested in

All of the following expressions are equal to N except _____. |−N| −(−N) |N| −N

Maksim231197 [3]

Answer:

D. -N

Step-by-step explanation:

Our four given expressions are:

A. |-N|

B. -(-N)

C. |N|

D. -N

The | | symbols represent absolute value, which is the distance from the value within the two lines and 0; essentially since it measures distance, absolute value always outputs a positive value.

In choice A, we have |-N|, which means the distance between -N and 0. Well, the distance will simply be N, which is equal to N. Eliminate A.

In choice B, we have -(-N). Double negatives signal that they will cancel out to become positive, so -(-N) = N. Eliminate B.

In choice C, we have |N|, which means the distance between N and 0. This is clearly just N, so eliminate C.

In choice D, we have -N, which denotes "negative N". Clearly, "negative N" (-N) is not the same as "positive N" (N), so D is the answer.

<em>~ an aesthetics lover</em>

3 0

2 years ago

Read 2 more answers

You just measured a sugar cube and obtained the following information: mass = 3.48 g height = length = width = 1.3 cm Determine

nignag [31]

Answer: Volume of sugar cube=2.20 cm³

Density of sugar cube = 1.60 g/cm³.

The sugar cube will sink.

Step-by-step explanation:

Given : Mass of cube = 3.48 g

Also, dimension of sugar cube :

height = length = width = 1.3 cm

Since , the volume of cube = (side)³

Volume of sugar cube=(1.3) ³= 2.197 ≈ 2.20 cm³

Also, Density = $\dfrac{\text{Mass}}{\text{Volume}}$

⇒ Density of sugar cube = $\dfrac{3.48}{2.2}=1.5818\approx1.60\ g/cm^3$

∴ Density of sugar cube = 1.60 g/cm³.

It is known that the density of water is 1 g/cm³.

Here , density of sugar cube > density of water

⇒ The sugar cube will sink .

5 0

2 years ago

A book shelf holds twenty books. Eleven are hard- covered, nine of the books are nonfiction, and four of the nonfiction books ar

ololo11 [35]

Answer:

1) Find the probability that a chosen book is nonfiction and hard-covered. P(N ∩ H) = 4/20

2) Find the probability that a chosen book is hard-covered. P(H) = 11/20

3) Calculate the conditional probability. = 4/11

---------------------------------------------------------------------------------------------

1.) 4/20

2.) 11/20

3.) 4/11

7 0

2 years ago

Read 2 more answers

The daily energy requirement, E (kilojoules), for a person of mass m ( kilograms) is calculated using the rule E=9m+8100

Wewaii [24]

For this case we have the following equation:
E = 9m + 8100
Substituting E = 8865 we have:
8865 = 9m + 8100
Clearing m we have:
9m = 8865-8100
m = (8865-8100) / (9)
m = (765) / (9)
m = 85 Kg
Answer:
Gavin's mass is:
m = 85 Kg

8 0

2 years ago

Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a

ipn [44]

The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let $x$ be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be $12.50x$ . From this information we can gather that the cost function for this factory is,

$C(x)=53\,900+12.50x.$

On the other hand, if we let $x$ be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

$R(x)=16.50x.$

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

$R(x)=C(x)\\\implies 16.50x=12.50x+53\,900\\\implies 16.50x-12.50x=53\,900\\\implies 4x=53\,900\\\implies x=\frac{53\,900}{4} \\\implies x=134\,750.$

The company has to sell 134 750 units to break even.

6 0

2 years ago