A. So, what I did was divided 30/8.5 and 22.5/11, and used the smaller of the two answers because that way they'd both fit, so I got 2.045. (I'm not 100% sure, but that's what i'd do)
b. Do something similar, and divide both sides, this time 30/11 and 22.5/8.5, so 2.647.
Answer:
As exact answers:
and 
As decimal answers:
x = -6.2749172 ≈-6.3
x = 1.27491722 ≈ 1.3
Step-by-step explanation:
For quadratic equations, you can use the quadratic formula. Rearrange the equation to standard from, which is ax² + bx + c = 0.
x² = –5x + 8
x² + 5x - 8 = 0
State the values for "a", "b" and "c",
a = 1; b = 5; c = -8
(Ignore the Â, it's a formatting error)
Simplify
Two negatives make a positive
Split the equation at the ± for plus and minus:
= 1.27491722 ≈ 1.3
= -6.2749172 ≈ -6.3
Therefore the solutions are 1.3 and -6.3.
We can construct the function:

Where
or
is ordinate and
is abscissa.
The function actually represents a line. Since it can have linear form.

Hope this helps.
r3t40
Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.
- sinA = opposite/hypotenuse
- cosA = adjacent/hypotenuse
- tanA = opposite/adjacent
Now that we know three basic ratio. Let's check each choices!
This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.
This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.
This choice is correct! As ratio states, tanA = opposite/adjacent.
This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.
This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.
This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.
Answer
Questions can be asked through comment.
Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.
Hope this helps, and Happy Learning! :)
Answer: it will take the faster computer 15 minutes to do the job on its own.
Step-by-step explanation:
Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t
If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30
By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,
1/t + 1/30 = 1/10
Cross multiplying by 30x, it becomes
3x = x + 30
3x - x = 30
2x = 30
x = 30/2
x = 15 minutes