In order to find the length of the hypotenuse, we use knowledge on trigonometric functions which would be sine and is expressed as:
sine (theta) = opposite side / hypotenuse
sine 80 = 4 / hypotenuse
Hypotenuse = 4.1 in <---- OPTION B
Answer:
36/2^x
Step-by-step explanation:
= 4 X 9 x 1/2^x
= 36/2^x
Answer:
E. 22
Step-by-step explanation:
Hello!
We know that b>6, and we are asked to find the possible values for 3b + 3.
Let's directly substitute 6 for b:
Now, because b is greater than 6, and not equal to 6, any value greater than 21 will work.
The correct option is E. 22.
The left term is 8x⁶ = (2x²)³.
The right term is 27y³ = (3y)³.
The sum of cubes identity is
... a³ +b³ = (a +b)(a² -ab +b²)
Filling in the values for <em>a</em> and <em>b</em>, the factors of your expression are ...
... (2x² +3y)(4x⁴ -6x²y +9y²)
Answer:
32 days
Step-by-step explanation:
make a rate time distance chart:
r t d
first 5 | y | 5 | 5y
final days | y+6 | x-6 | (y+6)(x-6)
take y for planned rate and x for time till test
then make system of equations:
1. 5y+(y+6)(x-6) = 844
2. 768/y =x
/Henrietta knew the time till test, so we can assume that she planned in such a way that would mean she learned exactly 768 spells if she worked at the set rate. On this assumption we make 2
solve, and you get 2 options: x=-10/3 y =-144 (exclude, negative)
the second one is x=24 y=32 that works for us, so answer is she planned to learn 32 spells each day.
