Select the postulate that is illustrated for the real numbers.
2 answers:
Answer:
The commutative Multiplication Postulate
Step-by-step explanation:
The commutative property of multiplication states:
Let x and y be two numbers. Then, according to this property of multiplication,
That is x multiplied by y is equal to y multiplied by x.
Now, we were given:
This clearly means that 12 multiplied 6 is equal to 6 multiplied 12 times.
Hence, the real numbers out of all the given postulates and properties, they illustrates the commutative property of multiplication.
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Solution:
Perimeter is the sum of the figure's sides.
<u>Note that:</u>
- 10 + 10 + 4 + 10 + 4 + 10 + 10 + 30 = Perimeter of figure
<u>Simplify the expression:</u>
- 5(10) + 2(4) + 30 = Perimeter of figure
- => 50 + 8 + 30 = Perimeter of figure
- => 88 cm = Perimeter of figure
Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b)
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines:
