A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random.
1 answer:
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Answer:
Step-by-step explanation:
The base of the pyramid we need to study is a hexagon.
Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.
Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")
Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.
We know the area of a triangle is the product of its base times its height, divided by 2:
We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures , so replacing this value in the formula above for the area of one of the triangles:
Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):
Area of hexagon =
which is the last option given in the list.
Answer:
Like terms: and
,
and
,
and
Not like terms: and
,
and
,
and
Step-by-step explanation:
Two or more terms are called like terms if they have same variables and powers.
and
are like terms because they have same variable y with same power 2.
and
are not like terms because they have same variable y with different powers.
and
are like terms because they have same variables kt with same power 1.
and
are like terms because both are constant.
and
are not like terms because one have variable and other is constant.
and
are not like terms because they have different variables.
Like terms: and
,
and
,
and
Not like terms: and
,
and
,
and
<h2>Answer </h2>
The length of UC is 18
<h2>Explanation </h2>First we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.
We can infer from our picture that JN is 82 + 105, so JN = 187
We can also infer that JU = JH + HU
JU = 22 + 96
JU = 118
We can also infer that CN = 51
Now we can fin the length of UC:
We can conclude that the length of UC is 18.