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Fantom [35]
3 years ago
8

A 7,5m ladder is placed with its lower end 2m away from the wall. How high up the wall does the ladder reach?

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Use the Pythagorean theorem:

Let x = the height.

2^2 + x^2 = 7.5^2

Simplify:

4 + x^2 = 56.25

Subtract 4 from both sides:

x^2 = 52.25

Take the square root of both sides:

x = 7.2284 m  Round the answer as needed.

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Write a proof that shows how 45 and 4.5 have a factor of 10
vovikov84 [41]

Answer:

When you move the decimal point one place to the left, you are moving the second by a factor of 10.

Step-by-step explanation:

3 0
3 years ago
1. Select all the expressions that are equivalent to 4 - x.
viktelen [127]

Step-by-step explanation:

It is required to find the expressions that are equivalent to 4-x. We can also write it as :

Option (b) : (4-x) = 4+(-x)

Option (c) : (4-x) = -x+4

Hence, the correct options are (B) and (C).

4 0
3 years ago
Find the domain of the rational function 9x/(x+5)(x+3)
xenn [34]

Answer:

the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[

Step-by-step explanation:

hello :

f(x) = 9x/(x+5)(x+3)

f exist for : (x+5)(x+3) ≠ 0

(x+5)(x+3)=0

x+5=0 or x+3=0  means : x= - 5 or x= -3

the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[

7 0
3 years ago
Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her fri
Andru [333]

Answer:

Step-by-step explanation:

Total amount of apples that Nicole bought was 6 pounds.

Each pound of apple cost $1.50

This means that the total cost of the 6 pounds of apple that Nicole bought would be

6 × 1.5 = $9

The store had a discount of $2 off her total purchase. This means that the amount that was paid is

9 - 2 = $7

If Nicole and her friend then divided the cost of the purchase evenly, let x represent the amount that each of them would pay. Therefore, the expression that can be used to determine how much Nicole and her friend each paid for the apples would be

x = 7/2

6 0
3 years ago
When sending a rectangular package through the U.S. Postal Service, the combined length and girth (perimeter of the cross sectio
weqwewe [10]
Let W = width of package
Let H = height of package
Let L = length of package

The perimeter cab be one of the following:
P = 2(L + W),  or
P = 2(L + H)

The perimeter of the cross section cannot exceed 108 in.
When the width is 10 in, then
 2(L + 10) <= 108
 L + 10 <= 54
 L <= 44 in

When the height is 15 in, then
2(L + 15) <= 108
L + 15 <= 54
L <= 39 in

To satisfy both of these conditions requires that L <= 39 in.

Answer: 39 inches
5 0
3 years ago
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