Answer:
There would be 14 cats and 9 dogs
Step-by-step explanation:
In order to find the amount of cats and dogs, we need to set up the system of equations. To do so, start by setting cats as x and dogs as y. Now we can write the first equation to show the total number of animals.
cats + dogs = 23
x + y = 23
Now we can write a second one that shows the difference in the number of cats and dogs.
cats - dogs = 5
x - y = 5
Now we can add the two equations together to solve for x.
x + y = 23
x - y = 5
2x = 28
x = 14
Now that we have the number of cats, we can find the number of dogs by using either equation.
x + y = 23
14 + y = 23
y = 9
Answer:
The width of the rectangle=32 cm
Step-by-step explanation:
We are given that
Perimeter of rectangle, P=116 cm
Length of rectangle, l=26 cm
We have to find the width of the rectangle.
We know that
Perimeter of rectangle, P=
Where l=Length of rectangle
b=Width of rectangle
By using the formula
Hence, the width of the rectangle=32 cm
Answer:
hope it is helpful
Step-by-step explanation:
10 is the increase in number
orignal vale is 20
so
increase %=increase in orignal value/orignal value ×100
=10/20×100=50%
Answer:
12.8 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between angles and sides of a right triangle. Here, you have the side opposite the given 70° angle, and you want to find the hypotenuse. The appropriate relation is ...
Sin = Opposite/Hypotenuse
Solving for the hypotenuse, we get ...
Hypotenuse = Opposite/Sin
x = (12 cm)/sin(70°) ≈ 12.77 cm
x ≈ 12.8 cm
