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r-ruslan [8.4K]
3 years ago
8

A petting zoo has 5 lambs, 11 rabbits, 4 goats, and 4 piglets. Find the ratio of goats to the total

Mathematics
1 answer:
Cloud [144]3 years ago
4 0
1:6 in simplest form.. there is 24 animals in total and there is 4 goats so the ratio would be 4:24 and then you divide 4 and 24 by 4 and get 1:6
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A square part of side 20 meters has a footpath along the boundary of width 10 meters . Find the area of path
qaws [65]

Answer:

Answer: 84 meters squared. (i.e. 84m^2).

Step-by-step explanation:

Area of the path = total area of path and plot - plot area only

First, let’s find the area of the plot:

20m x 20m = 400m^2

The path is 1m wide and runs all the way around, so, it describes an ‘outer square’ of 22m x 22m (2 x 1m larger because there are 1m of the path on each side).

The area of this ‘outer square’ is equivalent to the ‘total area of path and plot’

22m x 22m = 484m^2

So:

Area of the path = total area of path and plot - plot area only

= 484 - 400 = 84m^2

4 0
3 years ago
A recent physical inventory at a department store reports a merchandise value of $875,435. The merchandise book value was $907,3
Vlad [161]

Answer:

The shrinkage as a percentage of sales is 1.6%.

Step-by-step explanation:

In order to find the percentage of the sales that can be contributed to shrinkage, we first need to find the amount of shrinkage between the book value ($907,340) and the physical inventory ($875,435).  The difference between these two values is $31,905.  With this value of shrinkage, I then divide by the total amount in sales, which is $1,988,345.  This would give me an overall percentage of 1.6%, which represents the shrinkage as a percentage of sales.  

5 0
4 years ago
At 4:00 am the outside temperature was 28*F. By 4:00 pm that same day it rose to 38 degrees.
BigorU [14]
The temperature is 66*F.
6 0
3 years ago
From a balloon 1191 feet high, the angle of depression to the ranger headquarters is 72°54'. How far is the headquarters from a
Volgvan
If you take a look at my really poorly drawn diagram, we can see it is a trigonometry problem. The angle, however, is outside the triangle, and we can find the angle inside the triangle next to it by taking it away from 90°:
90°0' - 72°54' = 17°6' ≈ 17.1°.
We can find the other angles becuase one is 90° and the other is:
180°-90°-17°6'=72°54' ≈ 72.9°(which you can see if you know your angle theorems).

We now have diagram 2, nicely simplified so we can see where to go.
Using the Sine Rule, i.e.
\frac{sin(A)}{a} = \frac{sin(B)}{b}
We can rearrange to find our length b:
b=a \frac{sinB}{sinA}
Substituting numbers in:
b=1191 \frac{sin(17.1)}{sin(72.9)} =366.399...ft
b=366 feet.

8 0
3 years ago
Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.
3241004551 [841]
Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.Housing $612 
Food $238 
Transportation $370 
What is the problem with this budget? 
The answer is => She has allotted more than 36% of her income for housing
8 0
3 years ago
Read 2 more answers
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