Answer:
-4/3
Step-by-step explanation:
Dot goes down 4 (negative) and then 3 to the right (positive)
rise over run ---> -4/3!
<h3>
Answer: 0.157</h3>
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Explanation:
Convert the fraction 9/50 to decimal form. You can use either long division or a calculator.
You should find that 9/50 = 0.18 which is the same as 0.180
So the original compound inequality is the same as saying 0.125 < x < 0.180
This tells us that x is between 0.125 and 0.180 where x is not equal to either endpoint. We simply need to pick anything in this interval. It can be anything you want (I recommend to use a number line to help pick a value). One such value is 0.157. There are infinitely many values you can select from.
The number 0.157 is between 0.125 and 0.180, ie 0.125 < 0.157 < 0.180
It's very similar to saying 157 is between 125 and 180, ie 125 < 157 < 180.
we are given the following triangles:
We are asked to determine the value of "y". To do that we will use the tangent of 25:
We solve for "y" by multiplying both sides by "x":
Now, we take the tangent of 15:
Now, we solve for "y" by multiplying both sides by the denominator:
Now, we set both values of "y" equal, we get:
now, we solve for "x". First, we apply the distributive property on the right side:
Now, we substract
Although a radical cannot be expressed as a terminating or recurring decimal or a fraction, it can be approximated. This approximation can be expressed as a decimal or a fraction. So if a decimal, ordinary rules of arithmetic apply.
If a fraction, ordinary rules for subtracting fractions apply.
EXAMPLE
99/70 is a good approximation for √2. Let’s see how we would calculate 5-√2=5-99/70=(350-99)/70=251/70=3⁴¹⁄₇₀.
√2=1.4142 to 4 places of decimals. So 5-√2=5-1.4142=3.5858. When we work out 3⁴¹⁄₇₀ as a decimal to 4 places we get 3.5857.
So treat radicals like other real numbers. When giving an answer you may need to say what accuracy you are using (so many decimal places) or the question may tell you how many decimal places are needed.
