Answer:
15:20
Step-by-step explanation:
А
12
10
7100
290
40°
X
250
C
6
L
, B
R
5
D
7
F
Intro
Done
The required, any triangle that has two sides and the included angle between them given can have its area calculated using the trigonometricarea formula.
The triangle is a geometricshape that includes 3 sides and the sum of the interior angle should not be greater than 180°
The trigonometric area formula can be used to calculate the area of a triangle when we know the lengths of two sides and the included angle between them. The formula is:
Area = 1/2 * a * b * sin(C)
where a and b are the lengths of the two sides, and C is the angle between them.
Therefore, if we are given the lengths of two sides and the angle between them, we can use the trigonometric area formula to calculate the area of the triangle. This formula is particularly useful when we do not know the height of the triangle or cannot easily calculate it using other methods.
So, any triangle that has two sides and the included angle between them given can have its area calculated using the trigonometric area formula.
Learn more about triangles here:
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Answer:
ITS THE SECOND ONE
Step-by-step explanation:
n^3 = n + 3n(n - 1) + 6 C(n, 3) by counting the number of ordered triples (a,b,c), where 1 <= a, b, c <= n, in two different ways.
(b) Prove that
C(n + 2, 3) = (1)(n) + (2)(n - 1) + (3)(n - 2) + . . . + (k)(n - k + 1) + . . . + (n)(1), by counting the number of subsets of {1, 2, 3, . . ., n + 2} containing three different numbers in two different ways.
Answer:
Description of the given points can be defined as follows:
In points A, If b is less than a and c. so, it calls the smiley face (a, b , c), so we'll have a smiling smile whenever we create a chart! And if b is bigger then a and c, then it should be an angry face, although when we switch the head inside out, t get a grumpy face.
In point b, the smirks, which including a greater than b and c, then it is the neutral faces like a is equal to and b equal to c , it can also be seen in certain forms of faces. When the facial is positive, therefore b and b is similar to c. because when we pick a, b and c, but there's a choice of n are neutral.
Its quantity of scowls has been counted. There are many n options to choose a or n-1 forms of picking b. Each value that we can choose for the could also have been the price of b or c. There is also multiplication by 3. Thus 3n(n-1) scowls were present.
A number of happy face faces we note now. There will be n options for such a then n – 1 options for b, but n – 2 options for c. There were the happy faces of n(n-1)(n-2) = 3C(n,3). There are many grumpy face faces of the configuration of 3C(n,3).
Thus, n^3 = n + 3n(n – 1)+ 6C(n,3) was its total amount of faces.
(b) We can select two groups of 2 categories one at two numbers to choose three numbers and the other with one group. Its total number of n+2 can be divided into two groups.
First, there are many two numbers with one group, then n number in another one. This makes up n + 2 number of all. C(2,2) = 1 represents selecting two digits from the two sets. There are many C(n,1) = n forms to select a single organization amount. Which offers us a first 1*n term.
Answer: $2.72
Step-by-step explanation: Multiply the amount of strawberries in this case 3.4 by the price per unit in this case $0.80 per pound.
Answer:
2.72
Step-by-step explanation: