Answer:
50 total penguins
Step-by-step explanation:
In the following example x = the total number of penguins.
Set it up as follows.
15 over x = 30 over 100
Cross multiply the numbers. (30 times x) and (15 times 100)
This results in 30x = 1500.
Divide both sides by 30 which results in x = 50.
This means that there is a total of 50 penguins.
In the following example x = the number of Emperor penguins.
If you would like to double check this, set up as follows.
x over 50 = 30 over 100
Cross multiply the numbers. (30 times 50) (100 times x)
This results in 100x = 1500.
Divide both sides by 100 which results in x =1 5.
This means that there are 15 Emperor penguins.
Answer:
B) 40 ft
Step-by-step explanation:
Use the picture for a reference.
1. We can see the diagonal forms a triangle. Since the angles of a rectangle are right, we can use the Pythagorean Theorem to solve for x.
2. The Pythagorean Theorem
a^2 (a squared) + b^2 (b squared) = c^2 (c squared)
a = 30 ft (width)
b = x ft (unknown length)
c = 50 ft (diagonal)
3. Substitute in the values:
30^2 + x^2 = 50^2
900 + x^2 = 2500
x^2 = 1600
x = 40
The length of the field is 40 ft.
Answer:
18.5
Step-by-step explanation:
It says
IJ is the midsegment of the triangle. So it divides both adjacent sides in half/at modpoint.
so HF is 10 cm .. half of that is 5 cm
GH is 13 cm.. Half of that is 6.5 cm
now we have IJ = 7 cm given
add all those.. you get 18.5 cm
Answer:
3xy (3x-2xy+y^4)
Step-by-step explanation:
Factor out 3xy from the expression
