Answer:
Explanation:
Use the Pythagorean theorem (
a
2
+
b
2
=
c
2
)
Lets label the right triangle such that:
a
=
12
b
=
16
c
=
x
Thus,
12
2
+
16
2
=
x
2
144
+
256
=
x
2
400
=
x
2
√
400
=
x
20
=
x
So our missing side,
c
is
20
We can now say that the sides of our triangle are
12
,
16
,
20
I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).
Step-by-step explanation:
Hope it helpful
Answer:
Step-by-step explanation:
We first need to bring x up into the numerator. I will find common denominators by multiplying both sides by each denominator.
This will eliminate both denominators and leave me with
after I simplify the parenthesis.
Now I will solve the equation for x by subtracting 9x from both sides.
Then divide by the coefficient of x.
Answer:
124 ft2
Step-by-step explanation:
The yard is a 12ft square so the length and width would both be 12ft. You multiply the length and width of the yard to get the area of the yard so 12x12=144. You have the length and width of the flower bed so 5x4=20. Once you have the area of both you can subtract the area the flower bed takes up of the lawn. 144-20=124 ft2.
We are given the following information:
<em />
<em>each person uses 3/8 a box</em>
<em>there are 6 boxes</em>
Because each box is 
, and there are 6 boxes, we know that 1 person is 
, or 
.
In order to find how many people can use the 6 boxes, we can divide it by 3 (for each use):
48 / 3 = 16
Therefore, 16 people can share the worms.
<em>Hope this helps! :)</em>
Answer:
A
Step-by-step explanation:
Find the volume of both shapes.
Cylinder - V = πr²h = π·2²·4 = 50.26548
Sphere - V = 4/3πr³ = 4/3π·2³ = 33.51032
Find the difference between the two.
50.26548 - 33.51032 = 16.75516, or 16.75
-hope it helps
