The correct answer is: [B]: "40 yd² " .
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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.
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→ A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ;
= " 24 yd² " .
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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 "
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Now, we add the areas of BOTH the triangle AND the square:
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→ " 24 yd² + 16 yd² " ;
to get: " 40 yd² " ; which is: Answer choice: [B]: " 40 yd² " .
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Answer:
Solution :
Step-by-step explanation:
Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,
= ÷
= ÷
= ÷ = ÷ =
As you can see your solution is the last option.
Answer:
18
Step-by-step explanation:
Change 3 into a fraction.
Which gives you 3/1
multiply 3/1 by the inverse of 1/6
3/1x1/6
Then you get 1 :)
Answer:
(x + 5)(3x + 5)
Step-by-step explanation:
(x - 5)(x + 8) + (x + 5)(2x - 3) ← factor out (x + 5) from each term
= (x + 5)(x + 8 + 2x - 3)
= (x + 5)(3x + 5)