Answer:
Step-by-step explanation:
take 22 degree as reference angle
using cos rule
cos 22=adjacent/hypotenuse
0.92=56/x
x=56/0.92
x=60.86
x=60.9
Answer:
The first option.
Explanation:
Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.
There are two blue marbles so you have a 2/8 probability of drawing a blue marble on each draw since the marble is replaced after the first draw. 2/8 can be simplified to be 1/4 and then converted to be 0.25 per draw. 0.25 plus 0.25 equals 0.5. Since we are dealing with percentages multiply 0.5 x 100 which equals 50. Now take 50 and divided by the total number of marbles in the bag which is 8. 50 divided by 8 equals 6.25. So it would be about 6%.
Answer:
see below
Step-by-step explanation:
(3x + 8) units by (6x + 5) units.
A = l*w
= (3x+8)(6x+5)
Distribute
3x*(6x+5) + 8(6x+5)
18x^2 +15x + 48x +40
Combine terms
18x^2+63x+40 units^2
The degree is 2 ( the highest power of x)
This is a trinomial ( it has 3 terms)
Multiplication is closed for polynomial multiplication
We started with polynomials and we ended up with a polynomial.
Answer:
7.9 or 79/10
Step-by-step explanation:
-12.166 / -1.54
12.166 / 1.54
7.9