Answer: 31) d 32) c
<u>Step-by-step explanation:</u>
31)
A = {1, 3, 5, 15}
B = {2, 3, 5, 7}
A ∪ B = {1, 2, 3, 5, 7, 15}
C = {2, 4, 6, 8}
(A ∪ B) ∩ C = {1, 2, 3, 5, 7, 15} ∩ {2, 4, 6, 8} = {2}
<em>2 is the only number in both sets</em>
32)
The pattern is: reflection, add symbol, ..., reflection, add symbol.
The last image shown is: add symbol
So the next image will be: reflection (flipped to the left)
Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°
To Find: The length of the park's boundary to the nearest yard.
Calculation:
The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc
or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)
or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 209.33 yards
or, (P) = 309.33 yards ≈309 yards
Hence, the option D:309 yards is the correct option.
Answer:
the simplest form of 15/20 is 3/4
The perfect square monomial and its square root are shown in options 1, 2, and 5.
- A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
- 1) 121, 11
- 11² = 121
- A perfect square monomial and its square root are represented by this equation.
- 2) 4x², 2x
- (2x)² = 4x²
- A perfect square monomial and its square root are represented by this equation.
- 3) 9x²-1, 3x-1
- (3x-1)² = 9x²- 6x +1
- This phrase does not depict a square monomial and its square root in perfect form.
- 4) 25x, 5x
- (5x)² = 25x²
- This phrase does not depict a square monomial and its square root in perfect form.
- 5) 49(x^4), 7x²
- (7x²)² = 49(x^4)
- A perfect square monomial and its square root are represented by this equation.
To learn more about monomial, visit :
brainly.com/question/9183135
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Answer:
$106,714.29
$71,142.86
$71,142.86
Step-by-step explanation:
There's a total of 7 pieces that they invested (3 + 2 + 2 = 7) so you can do 249,000 / 7 to find what each piece was worth.
249000/7 = about 35571.43
(you always have to round money to 2 decimal places)
Then the amount each brother spent would be:
3 * 35571.43 = 106714.29
2 * 35571.43 = 71142.86
2 * 35571.43 = 71142.86
