Answer:
Angle GHI measures 56º, and angle JKL measures 34º.
Step-by-step explanation:
Complementary Angles:
If two angles are complementary, the sum of their measures is 90º.
∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.
Since they are complementary:
Measures:
GHI: 5*10 + 6 = 50 + 6 = 56º
JKL: 3*10 + 4 = 30 + 4 = 34º.
Angle GHI measures 56º, and angle JKL measures 34º.
<span>2/5
a
b
To get the number of factors, simply take each item from the expression and isolate it. Given the formatting limitations, I can't write the factor 2 over 5 and will instead represent it as 2/5.
So the expression is
2/5ab
where there's an implied multiplication between all the factors. Making that multiplication explicit, the equation becomes
2/5 * a * b
And each possible factor also becomes quite explicit. Namely, the factors are
2/5
a
b
The reason that the 2 and 5 aren't considered factors is because technically, you could consider the 2 to be a factor, there isn't a corresponding factor of 1/5. So you have to consider 2/5 to be a single entity.</span>
You can also find out number of yellow and purple balls by solving these equations simultaneously.
Answer:
The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100
Step-by-step explanation:
Let
x ------> the amount of money that should be invested at the rate of 12%
3,000-x -----> the amount money that should be invested at the rate of 10%
we know that
The sum of the interest on each of the accounts must be equal to the total interest.
Solve for x
therefore
The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100
Hope this helps you!!!! :D
Answer:
Option A - 4.91
Step-by-step explanation:
The formula for theoretical standard deviation of uniform distribution is;
σ = √{(b-a)^2}/12
Now from the question, b = 38 minutes and a= 21 minutes
Therefore, σ = √{(38-21)^2}/12
= √{17^2}/12 = √289/12 = 4.907 which is approximately 4.91
