The correct answer is: [B]: "40 yd² " .
_____________________________________________________
First, find the area of the triangle:
The formula of the area of a triangle, "A":
A = (1/2) * b * h ;
in which: " A = area (in units 'squared') ; in our case, " yd² " ;
" b = base length" = 6 yd.
" h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→ A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ;
= " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:
The formula for the area, "A" of a square:
A = s² ;
in which: "A = area (in "units squared") ; in our case, " yd² " ;
"s = side length (since a 'square' has all FOUR (4) equal side lengths);
A = s² = (4 yd)² = 4² * yd² = "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
→ " 24 yd² + 16 yd² " ;
to get: " 40 yd² " ; which is: Answer choice: [B]: " 40 yd² " .
_________________________________________________
Answer:
D 5
Step-by-step explanation:
the same scaling factor s applies to all sides when transforming from the small to the large triangle.
x×s = x + 5
(x-2)×s = x +1
=> s = (x+5)/x
=> (x-2)×(x+5)/x = x + 1
=> x² + 3x - 10 = x² + x
=> 3x - 10 = x
=> 2x = 10
=> x = 5
Answer:
7
Step-by-step explanation:
you subtract 84 on both sides and then you end up with -6x>-42 divide -6 on both sides and you have 7
Answer:
Step-by-step explanation:
<u>Given:</u>
- Tickets cost $12 at the door, number of tickets d
- Tickets cost $8.50 if purchased in advance, number of tickets a
- Minimum target from tickets sold $1050
<h3>Part 1</h3>
<u>Required inequality to meet the goal:</u>
<h3>Part 2</h3>
<u>If a = 36 then minimum value of d:</u>
- 12d + 36*8.5 ≥ 1050
- 12d + 306 ≥ 1050
- 12d ≥ 1050 - 306
- 12d ≥ 744
- d ≥ 744/12
- d ≥ 62
Minimum 62 tickets must sell
