See the attached figure
See the attached figure.
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The first equation is
4x + 2x²(3x-5) = 4x + 6x³ - 10x² = 6x³ - 10x² + 4x
So, The degree of the function = 3 , and the number of terms = 3
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The second equation is
(-3x⁴ + 5x³ - 12 ) + ( 7x³ - x⁵ + 6 ) = -x⁵ -3x⁴ +12x³ - 6
So, The degree of the function = 5 , and the number of terms = 4
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The third equation is
(3x² - 3)( 3x² + 3) = 9x⁴ - 9
So, The degree of the function = 4 , and the number of terms = 2
The goat is tied in the four corners of an 8-foot by 4-foot pump house. The rope is 8 feet. The goat is eating the grass, forming a circle The pattern is 3/4 of a circle radius 8 and 1/4 of a circle radius 4.
Getting the area of radius of 8 feet
Area = pi * r^2
Area = pi * 8^2
Area = 201.06 feet^2
Getting the area of radius of 4 feet
Area = pi * r^2
Area = pi * 4^2
<span>Area = 50.27 feet^2
</span>
3/4 of 201.06 = 150.80 feet ^2
1/4 of 50.27 = 12.60 feet^2
So the total area is 153.40 feet^2
Answer:
In 256 ways
Step-by-step explanation:
The number of answer choices will be; 4 * 3 = 12 answer choices
Okay, so per question we have 4 choices
The number of ways we can answer the first question is 4 ways since there are 4 choices
For the second question, 4 ways also
For the third 4 ways
And for the last question, four ways too
So the number of ways to correctly answer the question will be ;
4 * 4 * 4 * 4 = 256 ways
Answer:
Perimeter of the final star = 40 cm²
Step-by-step Explanation:
The perimeter of the six-pointed star is the sum of the sides of the 6 equilateral triangles that form a boundary around the star.
1 triangular tiles gas a perimeter of 10cm.
Only 2 out of the 3 equal sides of each of the 6 equilateral triangles form the boundary of the final star.
Therefore, perimeter of the final star = ⅔ of the total perimeter of 6 triangular tiles
= ⅔ of (10*6)
= ⅔*60
= 2*20
Perimeter of the final star = 40 cm²
Answer:
16 outcomes
Step-by-step explanation:
4 outcomes for spinner
2 outcomes for 1st coin
2 outcomes for 2nd coin
4 x 2 x 2 = 16