Answer:
The correct option is a.
Step-by-step explanation:
Given information:
Number of elements in set A = 4
Number of elements in set B = 3
We need to find n(A × B). It means we have to find the number of elements in set A × B.
If P and Q are two sets with elements m and n respectively, then the number of element in the set P × Q is m × n.
The value of n(A × B) is 12. Therefore the correct option is a.
The length is 14 yd and the width is 7 yd because 7•2=14 and 14•7= 128 yd²
Answer:
2,4,3,1
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
<u>A.</u>
- m∠5 = m∠10 (alternate angles)
- m∠10 = 69°
<u>B.</u>
- ∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)
- ∠14 = 180° - 114°
- ∠14 = 66°
<u>C.</u>
- ∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)
- ∠12 = 86°
<h3>Given</h3>
right triangle with side "a" = 12 and hypotenuse "c" = 15
<h3>Find</h3>
cos(∠A)
<h3>Solution</h3>
The Pythagorean theorem tells you
... b = √(c² - a²) = √(225 - 144) = √81 = 9
The definition of the cosine tells you
... cos(A) = b/c = 9/15
... cos(A) = 3/5 . . . . . . reduce the fraction
