The Law of Cosines is a beautiful formula and a gateway to all sorts of wonders.
This question asking for the length to the nearest whole number is pretty ugly.
A diagonal of a parallelogram makes two congruent triangles. In this problem we're almost told we're interested in the diagonal opposite an A=55 degree angle, included between sides b=4 and c=6.
We just plug in the numbers.
That's the exact answer, its square anyway. Now we approximate.
Taking the square root to the nearest integer,
Answer:
Step-by-step explanation:
Please present these numbers as a list: 7, -21, 63, -189, ....
Otherwise it appears that you are adding them up, which is not the case.
We can tell that this is a geometric series because each new number is -3 times the previous number: -3(7) = -21, -3(-21) = 63, and so on. Let r = -3 and a = first number = 7.
a
The sum of an infinite geometric series exists if and only if |r} < 1. Here, |-3|, or 3, so in this case the sum of the series does not exist. That is, the series diverges.
Step-by-step explanation:
10. 12
11. 500
12.8
13.45
First one: 3/4 = __/8
to get 8, they did 4*2
so whatever you do to the bottom, you do to the top
3*2=6
the first answer is - 3/4 = 6/8
the second one: 3/8 + 3/4
we need to find the LCD (Lowest Common Denominator)
3/8 = 8,16,
3/4= 4,8
the LCD is 8, now we just need to add the numerators
3/8 + 3/8 = 9/8
we could covert it into a mixed fraction
9/8 = 1 1/8
i hope this helped!!
One apple cost $1.8 while the money that Philip has is $24.90
Let x represent the cost of each apple and y represent the money he has presently.
He can buy 15 apples if he had $2.10 more money than he has now, hence:
15x = y + 2.1
15x - y = 2.1 (1)
Also, if he buys 12 apples, how would have $3.30 left of the money he has now. Hence:
12x + 3.3 = y
12x - y = -3.3 (2)
Solving equations 1 and 2 gives:
x = 1.8, y = 24.9
Hence one apple cost $1.8 while the money that Philip has is $24.90
Find out more at: brainly.com/question/16763389
