Explanation

In this scenario, we can use the tangent function, which is the ratio of the opposite side (height of the tower, h) to the adjacent side (the horizontal distance, 70m):

Explanation

Explanation

To find how many shirts the washerman can iron in one hour (60 minutes), we can use the given rate:

• The washerman irons 4 shirts in 12 minutes.

Now, let's find how many sets of 12 minutes are there in 60 minutes:

60​/12=5

Since he can iron 4 shirts in 12 minutes, in 60 minutes he can iron:

4×5=20 shirts

Explanation

To solve this, we can start by expressing the given ratio m:n = 3:2 in terms of a variable, let's say x. So, m = 3x and n = 2x.

Now, let's substitute these expressions into the given ratio (4m+5n):(4m-5n):

(4(3x) + 5(2x)) : (4(3x) - 5(2x))

Expanding and simplifying, we get:

(12x + 10x) : (12x - 10x)

22x : 2x

Now, we can divide both terms by 2x to get: 11 : 1

Explanation

To determine the total amount charged by the internet service provider, we need to consider both the one-time setup fee and the monthly service fee for each customer.

1. The one-time setup fee is $100 per customer, so for c customers, the total setup fee is $100c$.
2. The monthly service fee is $50 per customer. For m months, the total service fee per customer is $50m$. Thus, for c customers, the total service fee is 50cm.

Now, we can combine these two components to get the total charge:

$$text{Total Amount} = text{Setup Fee} + text{Service Fee} = 100c + 50cm$$

Explanation

Explanation

To find the answer, we calculate the total work:

42 women x 18 days = 756 woman-days

Since the work remains the same, we divide the total work by 21 days:

756 woman-days ÷ 21 days = 36 women

So, 36 women can do the same work in 21 days.

Explanation

21 binders bind 1400 books in 15 days, so 1 binder binds:

1400/21 = 66.67 books in 15 days

= 66.67/15 = 4.44 books per day

To bind 800 books in 20 days, we need:

800/20 = 40 books per day

Number of binders required = 40/4.44 = 9

So, 9 binders are required to bind 800 books in 20 days.