Answer:
I think it's 34.12 inches
Step-by-step explanation:
Use the Phythagorean Theorem, because bisecting a rectangle using the diagonal will produce 2 triangles. The diagonal represents the hypotenuse of the triangle so to solve for it you'd use the formula c² = a²+b²
Answer:
Step-by-step explanation:
98% it is the only percent and it is close to one
Assuming you need an answer to question #7, here it is.
The sum of all angles inside a polygon depends on the number of sides it has. (n-2) x 180°, where n is the number of sides. Knowing there are 5 sides to the polygon, we can figure out the sum of its interior angles :
(5-2) x 180° = 3x180° = 540°
We know the values of the two right angles on the right side of the shape. They both are of 90° (aka right angle) and add up to 180°. This means that the other angles must make up the rest : 540° (Total) - 180° (right side) = 360° (total of angles A, B and C).
Now we need to make relations between these unknown angles.
1. A=B They were described as having the same size;
2. A=2C A and B were described as being twice as big as C, so we would need two times C to equal A;
3. A+B+C = 360° Which we figured out earlier.
Since B=A we can replace B in the third equation :
A+A+C = 360°
2A+C = 360°
We also know that A=2C :
2(2C)+C=360°
4C+C=360°
5C=360°
We solve for C :
C=72°
Now that we know the value of angle C, we can work our way up towards angles A and B.
A=2C
A=2(72°)
A=144°
B=A
B=144°
We can verify our values to see if it all makes sense.
Is A+B+C=360° still true?
144°+144°+72°=360°
360°=360°
Thus, angles A, B and C are respectively 144°, 144° and 72°.
Answer:
c
Step-by-step explanation:
right
<span>I assume that the x is squared
(on Yahoo!Answers, we often use the caret ^ to show a power or an exponent)
(think of it as a tiny arrow pointing up, showing that the following number should be seen as if it were raised above the line)
2(x^2 + 5) = 60
Can it be x = 5 ?
we test:
2(5^2 + 5) = 2(25 + 5) = 2(30) = 60
it works, therefore x = 5 is a solution.
Can it be x = -5?
we test again:
2[(-5)^2 + 5) = 2(25 + 5) = 2(30) = 60
it works, therefore x = -5 is also a solution.
The way you did it, there could be some confusion between step 4 and step 5 (because you do not explain how you go from 4 to 5).
If you simply "take the square root" on both sides, someone could argue that the "principal" square root of a number is the positive value (+5 only, not -5). On the other hand, if you state:
(after step 4), we look for all values that give 25 when they are squared, then -5 is allowed.
The way the conjecture is stated at the beginning, the easiest way is to check both values to find out that, yes, they are both valid solutions.</span>
