Answer:
A = 32°, a = 19, b = 14, B=22.98°, C = 125.02°, c = 29.36
Step-by-step explanation:
We have two sides of the triangle and we have an angle.
A = 32 °, a = 19, b = 14
We use the sine theorem to find the angle B.
We know that according to the sine theorem it is true that:
We know that the sum of the internal angles of a triangle is always equal to 180.
So:
Finally we find the c side
Answer:
Description
Step-by-step explanation:
1. Factor 2x^2+11x+12 -> (2x+3)(x+4)
x=-4, -3/2
Both numbers are rational numbers as both can be expressed in the form in a quotient with integer values.
2. If discriminant is negative, then solutions are imaginary, meaning that the discriminant is less than 0, so you can set up this equation.
11^2 - 4(a)(12) < 0
121 - 48a < 0
a>121/48
The closest integer to 121/48 (~2.52) such that it satisfies the above conditions is 3, so the lowest value for a is 3.
Change the wording a bit, and type in your answer.
1. Find the greatest common factor (GCF)
What is the largest number that divides evenly into 3bk^2, -9bk, and 6b?
It is 3.
What is the highest degree of b that divides evenly into 3bk^2, -9bk, and 6b?
It is b.
What is the highest degree of k that divides evenly into 3bk^2, -9bk, and 6b?
It is 1, since k is not in every term.
Multiplying the results above,
The GCF is 3b
2. Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF).
3b(3bk^2/3b + -9bk/3b + 6b/3b)
3. Simplify each term in the parentheses
-3b(k^2-3k+2)
4. Factor k^2-3k+2
Ask: Which two numbers add up to -3 and multiply to 2?
-2 and -1
Rewrite the expression using the above
(k-2)(k-1)
-3b(k-2)(k-1)
Your answer is B, have a nice day :D
The two equations that can be used to find the height are as follows:
- 12 / 4 = h /5
- 5 / 4 = h / 12
<h3>Similar Triangles</h3>
Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of similar triangle are a ratio of each other.
The tree cast a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,
Therefore,
h / 12 = 5 / 4
cross multiply
4h = 60
divide both sides by 4
h = 60 / 4
h = 15 ft
Therefore, the two equations that can be used to find the height are as follows:
- 12 / 4 = h /5
- 5 / 4 = h / 12
learn more on similar triangles here: brainly.com/question/12685664?referrer=searchResults
= square root 11 (5 - 12 - 2)
= square root 11(-9)
= -9 square root 11
answer is C.
you got it right
