Answer:
17
Step-by-step explanation:
In this problem, you can use the Pythagorean Theorem to find the hypotenuse, which is x. The formula for the Pythagorean Theorem is:
, where <em>a </em>and <em>b </em>are the two lengths of the triangle, and <em>c</em> is the hypotenuse (which is x).
<u>Steps:</u>
-We know the two sides already, which are 15 and 8, so we can substitute <em>a </em>and <em>b </em>into the equation:
(the <em>c</em> is the same as x, just letting you know)
-Then, simplify the equation to get:
(I replaced <em>c</em> with x just so you can understand better that we are trying to find x, the hypotenuse)
-Add the 225 and 64 to get: 
-Find the square root of both sides to get x by itself: 
-Evaluate the equation to get:
which simplifies to 
<u>Answer: 17</u>
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Hope you understand and that this helps with your question! :)
Number = 42
50% of 42
= 50/100 × 42
= 21
Increased number = 42 + 21 = 63
Answer:
The third graph
Step-by-step explanation:
The third graph depicts the function f(x) = -1/2x because for every 1 unit decrease along the y-axis, you travel 2 units on the x-axis.
Also, the two points on the third graph can satisfy the equation.
Point 1: (-2,1)
f(-2) = (-1/2)(-2)
f(-2) = 1
Point 2: (0,0)
f(0) = (-1/2)(0)
f(0) = 0
Answer:
115
Step-by-step explanation:
20% is one fifth. If Mary has one fifth fewer than Susan, then she has 4 fifths of what Susan has. So 92 is 4 fifths of some number.
To find out what one fifth is, you can divide 92 by 4 because it is four fifths.
92/4 = 23
So one fifth of the number of blouses Susan has is 23. Now you can multiply 23 by 5 to get the total number of blouses Susan has.
23 * 5 = 115
Answer:
x=-7
Step-by-step explanation:
so if you multiply two negative numbers you get a positive and and -7 * -3 is just doing 3*7 which is 21 and that is the answer to -3*-7 and 21 minus 5 is 16 so there´s that and hope this helps