Answer:
≈ 23.4
Step-by-step explanation:
A = bh
270 = 15b
b = 18
Now you know the two legs, use the Pythagorean Theorem to find the value of the hypotenuse: a² + b² = c²
15² + 18² = c²
225 + 324 = c²
c² = 549
c = √549
Answer:
Step-by-step explanation:
EXAMPLE #1:
What number is 75% of 4? (or Find 75% of 4.)
The PERCENT always goes over 100.
(It's a part of the whole 100%.)
4 appears with the word of:
It's the WHOLE and goes on the bottom.
A proportion showing one fraction with PART as the numerator and 4 as the denominator equal to another fraction with 75 as the numerator and 100 as the denominator.
We're trying to find the missing PART (on the top).
In a proportion the cross-products are equal: So 4 times 75 is equal to 100 times the PART.
The missing PART equals 4 times 75 divided by 100.
(Multiply the two opposite corners with numbers; then divide by the other number.)
4 times 75 = 100 times the part
300 = 100 times the part
300/100 = 100/100 times the part
3 = the part
A proportion showing the denominator, 4, times the diagonally opposite 75; divided by 100.
Absolute value is the distance between a point and 0. Absolute value is always positive. When you're writing numbers in absolute value, make sure you add:
| |
The absolute value of a negative number is also positive. For example:
| -7 | = 7 ⇒The absolute value of -7 is 7.
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
<em>a = 17</em>
<em>b = 18</em>
<em>c = 19</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>a + b + c = 54</em>
<em>b = a + 1</em>
<em>c = a + 2</em>
<em>replace b ; c</em>
<em>a + (a + 1) + (a + 2) = 54</em>
<em>3a = 54 - 3</em>
<em>3a = 51</em>
<em>a = 51 : 3</em>
<em>a = 17</em>
<em>b = 18</em>
<em>c = 19</em>
<em>Good luck !</em>
