Step-by-step explanation:
the surface area consists of 6 individual areas :
front and back (both are equal)
left and right (both are equal)
top and bottom
front and back are trapezoids.
the area of a trapezoid is
(base 1 + base 2)/2 × h
the bases are the 2 parallel sides.
in our case the area of one trapezoid is
(5 + 19)/2 × 12.1 = 145.2 ft²
front and back together then are 290.4 ft².
left and right are 8×14 rectangles:
8×14 = 112 ft²
together they are 224 ft².
the bottom is a 5×8 rectangle :
5×8 = 40 ft²
the top is a 19×8 rectangle :
19×8 = 152 ft²
so, the total surface area is
290.4 + 224 + 40 + 152 = 706.4 ft²
Answer:
x = 1
Step-by-step explanation:
the angle 2 is equal to 52, because triangles add up to be 180, and 180 - 76 and divided by two is 52. 52 = 4x + 12. Divide both sides by four, then subtract 12. x = 1
Answer:
8 people watched the show
Step-by-step explanation:
50 - 42 = 8
Answer:
Minimum 200 people other than the 2 charity representatives.
Step-by-step explanation:
Given that:
The venue can hold a maximum of 500 people.
Cost of venue = $1000
Per person cost for food = $20
Two charity representatives get to attend the dinner for free.
To find:
The inequality and to determine how many people must come to keep costs at most $25.
Solution:
Let the number of people attending the dinner = 
Cost of food for people = 
Total cost = $1000 +
Cost per person = Total cost divided by Number of people attending the dinner.
As per question statement:
Therefore, the answer is:
Minimum 200 people other than the 2 charity representatives should attend the dinner.
7.8
is the answer :) because you have to turn the fraction into a decimal then multiply by 3.
