The shadow of the tree is about 17.955 feet long.
Answer:
The actual distance between the cities is 211.67 cm.
Step-by-step explanation:
Given:
The map key indicates that 4.5 cm is equivalent to 75 cm.
Now, to find the actual distance between the cities if the cities are 12.7 cm apart on the map.
Let the actual distance be
.
So, we set a proportion to find the actual distance:
4.5:12.7 = 75:x.
<em>Changing into fractions.</em>

<em>By cross multiplication we get:</em>

<em>Dividing both sides by 4.5 we get:</em>

Therefore, the actual distance between the cities is 211.67 cm.
Answer:
The prime factorization of 1001 is 7*11*13, so with the constraint that the tables seat between 2 and 19 guests, we can use tables that seat either 7, 11, or 13 guests.
For tables that seat 7, the caterer would need 11*13 = 143 tables.
For tables that seat 11, the caterer would need 7*13 = 91 tables.
Step-by-step explanation:
Answer:
a = 31.7
c = 39.1
Step-by-step explanation:
tan54 = a / 23
a = 23 * tg54
a = 31.7
sin54 = 31.7 / c
c = 31.7 / sin54
c = 39.1
:)