Answer:
27
Step-by-step explanation:
a + b = 7
a - b = 3
2a = 10
a = 5
b = 7 - 5
b = 2
3⁵ / 3² = 3³ using law of indices
3³ = 27.
Answer:
3
Step-by-step explanation:
3x4=12
its 3 because you need to find the balances so when you have 3 and you multiped my 4 you get 12 same as the other square.
Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,
Sn = a1 x (1 - r^n) / (1 - r)
where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,
<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047.
Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.
<h3>What is the law of sines?</h3>
Suppose we have a triangle in which:
- The length of the side opposite to angle A is a.
- The length of the side opposite to angle B is b.
- The length of the side opposite to angle C is c.
The lengths and the sine of the angles are related as follows:

For the situation described, we have that:
- The height is opposite to the angle of 42º.
- The 425 meters are opposite to the angle of 87º.
Hence:

Applying cross multiplication:

h = 284.77 meters.
More can be learned about the law of sines at brainly.com/question/25535771
#SPJ1