The answer is 9
24+3=27
27/3=9
:) Hope this helps!
Answer:
4.2 you should use a calculator for these
Step-by-step explanation:
To solve the leg of an isosceles triangle given the length of the base and its angle, we can use the cosine identity.
where cos A = a / h
where a is the adjacent side of the angle ( but for this case it is half of the base)
h is the hypotenuse or the leg of the triangle
A is the base angle
h = a / cos A
h = ( 12 / 2) / cos 50
h = 9.33 in
For the fifteen days,
1, 2, 4, 8, 16, 32, .........
Doubling continues until after the 15th day. But since counting started after 1 penny is given, so n for the sequence would have to be = 16.
This sequence is a GP common ratio = 4/2 = 2/1 = 2
Sum of nth term of GP = a(r^n - 1) / (r -1)
where a = 1st term = 1,
n = 16, r = 2
Sum = 1*(2^16 - 1) /( 2 -1)
= (2^16 - 1) /( 1)
= (2^16 - 1) = 65536 - 1 = 65535
Money in 15 days = 65 536 pennies.
5 consecutive even integers: 2n, 2n+2, 2n+4, 2n+6, 2n+8 for any integer n The sum of the two smallest of five consecutive even integers is 50 less than the sum of the other three integers: 2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 504n + 2 = 6n -3234 = 2nn = 17 <span>The smallest integer in our sequence is 2n = 2*17 = 34</span> Check:2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 5034 + 36 = 38 + 40 + 42 - 5070 = 120 - 5070 = 70