Answer: i have absolutely no idea
Step-by-step explanation:
Answer:
{3¢, 28¢} or {4¢, 19¢} or {7¢, 10¢}
Step-by-step explanation:
54 = 1×54 = 2×27 = 3×18 = 6×9
Possible values of the stamps are 1 more than the values of a pair of factors. Of course, a 2¢ and 55¢ stamp will not permit paying 54¢ in postage, so that combination won't work. However, other pairs that will work are ...
- 3¢ and 28¢
- 4¢ and 19¢
- 7¢ and 10¢
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°.
The general pattern that these diamonds follow is that the top number is the result of multiplying the numbers in the middle; while the bottom number results from adding these numbers. This pattern can be used to find the numbers in the fourth diamond. Moreover, the numbers that complete the diamonds are A (15,8), B (2,-3), C (4,2), D(4,8.5), E (-3.-4)
<h3>What is the general pattern in the diamonds?</h3>
Based on observation, you can determine in these diamonds the top number is obtained by multiplying the numbers in the middle, while the bottom number is obtained by adding these numbers.
<h3>What numbers complete the diamonds?</h3>
Diamond A
Top number: 15 (3x5)
Bottom number: 8 (3+5)
Diamond B
Top number: 2 (-2x-1)
Bottom number: -3(-2+-1)
Diamond C
4, 2 because 4x2 = 8 and 4+2 = 6
Diamond D
Top number: 4( 8x0.5)
Bottom number: 8.5(8+0.5)
Diamond E
-3,-4 because -3x-4= 12, and -3+-4= -7
Learn more about patterns in: brainly.com/question/23136125
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