Pls. see attachment.
We need to solve for the angles of the smaller triangle in
order to solve for the angle of the larger triangle which would help us solve
the missing measurement of a side.
Given:
51 degrees.
Cut the triangle into two equal sides and it forms a right
triangle. All interior angles of a triangle sums up to 180 degrees.
180 – 51 – 90 = 39 degrees
39 degrees * 2 = 78 degrees.
Angle Q is 78 degrees.
In the bigger triangle, 4.3 is the hypotenuse. We need to
solve for the measurement of the long leg which is the opposite of the 78
degree angle.
We will use the formula:
Sine theta = opposite / hypotenuse
Sin(78 deg) = opposite / 4.3
Sin(78 deg) * 4.3 = opposite
4.21 = opposite. This is also the height of the triangle.
Area of a triangle = ½ * base * height
A = ½ * 3units * 4.21units
A = 6.315 square units.
15) Basically, this year Chelsea is making 64 cups of soup, and since there are 16 cups in a gallon, Chelsea will make 4 gallons.
16) Option D
Yes
The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.
This happens for all possible couples in your case:
Answer:
1. zeros of polynomials -- x-values for which the value of the polynomial is zero
2. quartic polynomial -- fourth degree (polynomial)
3. irreducible -- cannot be factored
4. leading coefficient -- coefficient of the term with the highest power
5. end behavior -- the direction of a graph for very large positive and negative values of x
6. leading term -- the term in a polynomial with the highest power
7. cubic polynomial -- third degree (polynomial)
Step-by-step explanation:
These are definitions. They need no explanation.
Answer:
6(8w + 7x)
Step-by-step explanation:
Hello!
The greatest common factor between 48 and 42 is 6. We can factor out 6 from each term.
<h3>Factor</h3>
- 48w + 42x
- 6(8w) + 6(7x)
- 6(8w + 7x)
The expression is 6(8w + 7x).
