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:
The question is incomplete, the complete question is Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 12 ft³ of fluffy material. The base is 3 ft, the height is 2 ft, what is the length of the pillow?
The length of the pillow is 4 feet
Step-by-step explanation:
The formula of the volume of the wedge is 
, where
- b is the base of it
- h is the height of it
- l is the length of it
∵ The pillow in the shape of a wedge
∵ The pillow is filled with 12 ft³ of fluffy material
∴ The volume of the wedge = 12 ft³
∵ The base = 3 feet
∵ The height = 2 feet
- Use the formula of the volume above to find its length
∵ 
∴ V = 3 l
∵ V = 12 ft³
- Equate 3 l by 12
∴ 3 l = 12
- Divide both sides by 3
∴ l = 4 feet
∴ The length of the pillow is 4 feet
For angles in first quadrant, the reference angle is itself. In second quadrant, the equation would be 180 - x where x is the measure of the angle. In third quadrant, x - 180. Lastly, in the fourth quadrant, the reference angle is 360 - x. From the second set of angles in the given, the reference angles are.
(1) 135 ; RA = 180 - 135 = 45
(2) 240; RA = 240 - 180 = 60
(3) 270; RA = 90 (lies in the y - axis)
(4) 330; RA = 360 - 330 = 30
Answer:
x=-9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-(-6))/(-9-(-9))
m=(-8+6)/(-9+9)
m=-2/0
undefined
x=-9
Answer:
The last one
Step-by-step explanation:
Hey There!
The Pythagorean Theorem states that
the two legs squared added together equal the hypotenuse square
we are given the two legs so to find the missing side we square them, then add them together
the missing side length equals
hope this helps!
