If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the <em>legs</em> of a right triangle and its <em>hypotenuse</em>, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.
How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.
So, substituting our values in, we have:
(2.6)² + (8.1)² = (8.6)²
Performing the necessary calculations, we have:
6.76 + 65.61 = 73.96
72.37 ≠ 73.96
Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
1) The dependent variable is the total cost.
2) The perimeter is 36 inches.
The dependent variable is the one that gets changed by the other one. In this case, the total cost gets changed by the amount of fabric bought.
To find the perimeter:
Since the ratios of the side length to perimeter is the same, we set up the ratio:
2/8 = 9/x
Cross multiply:
2*x = 8*9
2x = 72
Divide both sides by 2:
2x/2 = 72/2
x = 36
Looking at this we can see that it is (1,3) bud this is a maximum. A maximum is at the top if a function and nothing us higher than it for that graphed image. Then we look at the coordinate and see it is (1,3). There would be no minimum because the function just keeps going! Hope this helps!
Answer:
No
Step-by-step explanation:
4/100 = 0.04
0.04<0.2
The sales tax percentage of the store manager report is 7.41%
<h3>How to solve for the sales tax percentage</h3>
Customers are subject to a charge known as sales tax when they buy goods and services.
It is a pass-through tax, which means you must collect it from clients and send the money to your state or local government. the seller do not contribute sales tax.
The sales tax is first calculated by
= price after tax - price before tax
= 513 - 475
= 38
sales tax percentage is calculated using the formula
= (Tax amount / Price before tax) × 100%
= (38 / 513) * 100
= 7.4074
= 7.41%
Learn more about sales tax at:
brainly.com/question/20220356
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