Please answer these question(s)! It has to do with math statistics. I will give you brainliest and thanks! Please answer my othe
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Answer:
a = 6
Step-by-step explanation:
Hello!
Solve:
- 4(3a - 4) = 56
- 3a - 4 = 14 (factoring out 4)
- 3a = 18 (adding 4 to both sides)
- a = 6 (dividing by 3)
Another way:
- 4(3a - 4) = 56
- 12a - 16 = 56 (distributive property)
- 12a = 72 (moving like terms)
- a = 6 (dividing by 12)
Distributive Property of Multiplication:
The process of distributing the outside factor to the terms in the parenthesis.
Example:
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.