For some reason, the value of "w" is not supplemented into the equation, which is weird, but whatever. I will answer the problem for you.
The answer you are looking for is -5.
Solution/Explanation:
Writing out the expression first
-7/3x+y²
Substituting the given values of the variables, only "x" and "y"
-7/3(6)+(-3)²
Simplifying
(-7/3)(6)=-14
(-3)²=9
So, we will come up with -14+9.
This simplifies to -5.
So, therefore, the final answer to this problem is -5.
Hope this helped answer your question for you. Good day to you.
1. 112 degrees
2. 68 degrees
Answer
A = 46.3°
B = 75.7°
c = 3.5
Explanation
We will be using both Cosine and Sine rule to solve this.
For Cosine rule,
If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the Cosine rule is given as
c² = a² + b² - 2ab Cos C
a = 3.0
b = 4.0
C = 58°
c² = 3² + 4² - 2(3)(4)(Cos 58°)
c² = 9 + 16 - (24)(0.5299)
c² = 25 - 12.72 = 12.28
c = √12.28 = 3.50
To find the other angles, we will now use Sine Rule
If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is given as
So, we can use the latter parts to solve this
B = ?
b = 4.0
C = 58°
c = 3.5
We can then solve for Angle A
The sum of angles in a triangle is 180°
A + B + C = 180°
A + 75.7° + 58° = 180°
A = 180° - 133.7° = 46.3°
Hope this Helps!!!
Answer:
a) 49
b) 84
c) (B) -- always odd
Step-by-step explanation:
We observe that the number of square tiles is the square of the pattern number. The number of circular tiles is 1 more than the pattern number on each side of the square.
square tiles = n²
circular tiles = 4(n +1)
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<h3>a) </h3>
7² = 49 square tiles are needed for pattern number 7.
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<h3>b)</h3>
4(20+1) = 84 circular tiles are needed for pattern number 20.
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<h3>c) </h3>
The parity of the number of square tiles matches the parity of the pattern number. (The square of a number has the same parity as the number.) Since 4 is a factor in the number of circular tiles, its parity is always even. The parity of the total number of tiles will match the parity of the pattern number.
When the pattern number is odd, the total number of tiles will always be odd. (B)
Answer: The figure changed size.
Step-by-step explanation: Dilations change the sizes of shapes. They can either make them bigger or make them smaller.
