Answer:
a = 6, b = 8, and c = 10.
Step-by-step explanation:
You can easily use the Pythagorean Theorem to solve all of these.
a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.
a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.
a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.
a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.
The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.
Hope this helps!
Answer:
8 5/6
Step-by-step explanation:
11/3 + 5 1/6
change 5 1/6 into improper fraction (5 x 6 + 1) = 31/6
11/3 + 31/6
Now find common denominator which is 6
3 goes into 6 two times therefore, 2 x 3 = 6 & 2 x 11 = 22
22/6 + 31/6 = 53/6
Now change back to proper fraction. How many times does 6 go into 53?
53/6 = 8 with 5 left over = 5 5/6
Hope this helps!
Answer:
Step-by-step explanation:
Convert the equation of a circle in general form shown below into standard form. Find the center and radius of the circle. Group the x 's and y 's together. Consider the x2 and x terms only. Complete the square on these terms. Replace the x2 and x terms with a squared bracket.
3 D + .25 S = 25.75
He sold 103 cookies, which could have occurred in many ways.
8 dozen and 7 singles
7 dozen and 19 singles
6 dozen and 31 singles
5 dozen and 43 singles
and so on
The relation between the Pattern A is the half of the Pattern B is given below. Then the correct option is C.
<h3>What are ratio and proportion?</h3>
A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Molly is studying two number patterns.
Pattern A starts at 0 and has the rule “add 3”.
Pattern B starts at 0 and has the rule “add 6”.
The relation between the Pattern A and Pattern B is given below.
Pattern A = 1/2 x Pattern B
Then the correct option is C.
More about the ratio and the proportion link is given below.
brainly.com/question/14335762
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