Answer:
AB = 5
BC = 12
AC = 13
Step-by-step explanation:
A rectangle is a quadrilateral and therefore, opposite sides are parallel and congruent to each other. Thus:
AB = CD = 12
AB = 12
BC = AD = 5
BC = 5
AC is a diagonal of the rectangle, use Pythagorean theorem to find it's length as follows:
AC² = AD² + CD²
Plug in the values
AC² = 5² + 12²
AC² = 169
AC = √169
AC = 13
Answer:
d = 20.6 miles
Step-by-step explanation:
Given that,
Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west.
It is required to find the distance between two representatives. It it is d. It can be calculated as the resultant if two values as follows :
So, the sales representative are 20.6 miles apart. Hence, the correct option is (c).
We need to find how many times 1/16 goes into 7/8. So, divide 7/8 by 1/16:
(7/8) / (1/16)
= (7/8) x (16/1)
= (7/8) x 16
= 7 x 16 / 8
= 7 x 2
= 14
The answer is 14.
(Intuitively, since 1/16 goes into 1/8 two times, it goes into 7/8 fourteen times.)
Simplify the following:
3 + 2 (2 p + 4 t) + 6 + 5 p
Grouping like terms, 3 + 2 (2 p + 4 t) + 6 + 5 p = 2 (2 p + 4 t) + 5 p + (3 + 6):
2 (2 p + 4 t) + 5 p + (3 + 6)
3 + 6 = 9:
2 (2 p + 4 t) + 5 p + 9
2 (2 p + 4 t) = 4 p + 8 t:
4 p + 8 t + 5 p + 9
Grouping like terms, 4 p + 8 t + 5 p + 9 = 8 t + (4 p + 5 p) + 9:
8 t + (4 p + 5 p) + 9
4 p + 5 p = 9 p:
Answer: 8 t + 9 p + 9