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:
100*x + 14*y
Step-by-step explanation:
Tenemos que en el sistema decimal un número de 3 cifras se representa de este modo:
100*x + 10*y + z
También es llamado descomposición polinómica y de esta manera podremos encontrar la expresión algebraica.
Nos dicen la relación entre unidades y decenas, 4 veces mayor las unidades que las decenas, por lo tanto:
z = 4*y
Reemplazamos y nos queda:
100*x + 10*y + 4*y
reduciendo nos queda:
100*x + 14*y
Por lo tanto esta sería la expresión algebraica.
Answer:

Step-by-step explanation:
The formula for distance is:

Where (x₁, y) and (x₂, y₂) are the points.
We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:
- x₁= -6
- y₁ = 6
- x₂ = -3
- y₂ = 3
Substitute the values into the formula.

Solve inside the parentheses.
- -3 --6 = -3+6 = 3
- 3-6 = -3

Solve the exponents.
- (3)²= 3*3= 9
- (-3)²= -3*-3 =9

Add.


Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.

The distance between the two points is apprximately <u>4.2</u>
The average of those five amounts is 183,636.7
AVeraging is adding all of the numbers together with the dividing by a number of numbers you have.
Matt would get about $4 and 90 cents back from the clerk, since 10 dollars minus $5 and 10 cents equals $4 and 90 cents.