sin(α) = ⁻⁵/₁₃
sin⁻¹[sin(α)] = sin⁻¹(⁻⁵/₁₃)
α ≈ 1.1256π
cos(β) = ²/₅
cos⁻¹[cos(β)] = cos⁻¹(²/₅)
β ≈ 1.6311π
sin(α - β) = sin(1.1256π - 1.6311π)
sin(α - β) = sin(-0.5055π)
sin(α - β) = -sin(0.5055π)
sin(α - β) = -sin(90.99)
sin(α - β) ≈ -0.116
Answer:
7
Step-by-step explanation:
Total number of surfaces of cube are 6.
Each surface is square.
And area of square is (side)^2
That means, total surface area will be 6 * (side)^2
From question,
294 = 6 * (side)^2 ( Surface area given)
=> 294 ÷ 6 = ( side) ^2
=> 49 = side^2
=> √49 = side
=> 7 = side
So, length of edge of cube is 7
<h2>
Answer:</h2>
The ratio is a fraction that tells us how many times longer a thing is compared to another thing. In mathematics, we express a ratio as the relationship between two numbers, namely 
, so the ratio can be written as:
If we can change this number without changing the ration we need to multiply both the numerator and the denominator by the same number. For instance, if we have the following ratio:
We can multiply both the numerator and denominator, say, by 7. Then:
As you can see, the ratio's number has changed but without changing the ratio itself because:
Okay. The formula for simple interest is prt. You multiply the principal (initial amount) by the rate (percentage) by the time (months or years). $1,800 is the principal and 6.5% is the percentage rate. 1,800 * 6.5% (0.065) is 117. You earn $117 in interest annually. The time period is 30 months. There are 12 months in 1 year. Divide the amount of months by 12 to put it in a decimal. 30/12 is 2.5. Now, multiply 117 by 2.5 to find the total amount of interest earned. 117 * 2.5 is 292.5. There. The total amount of interest earned is $292.50.
