If you notice the picture below
the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it
so.. get the area of the trapezoid

then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh
then, subtract the triangle's area from the rectangle's area
and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area
namely the area of the trapezoid plus the rectangle's, minus the triangle's
Answer:
The answer to your question is 3
Step-by-step explanation:
Expression
3⁴ + 9² / 3³ - 9²
1.- Do the division
3⁴ + (9² / 3³) - 9²
Use law of exponents
3⁴ + (3⁴ / 3³) - 9²
3⁴ + 3⁴⁻³ - 9²
Simplify
3⁴ + 3 - 9²
2.- Convert 9² to base 3
3⁴ + 3 - 3⁴
3.- Simplify (associative property)
( 3⁴ - 3⁴ ) + 3
4.- Result
3
Answer:
(a) x + y = 63 OR 3x = 63
(b) 21
(c) 42
Step-by-step explanation:
Let Vijay's age be x and Ajay's be y.
Ajay is <u>twice</u> as old as Vijay
==> Ajay's age = 2 × Vijay's age
==> <u>y = 2x</u>
<h3>(a)</h3>
<u>Sum</u> of their ages = 63
==> x + y = 63
<em>Substituting</em><em> </em><em>2</em><em>x</em><em> </em><em>for</em><em> </em><em>y</em><em>:</em>
==> x + 2x = 63
==> 3x = 63
<h3>(b)</h3>
<em>Solving the above-obtained equation:</em>
<u>==> x = 21</u>
<h3>(c)</h3>
Ajay's age = 2 times that of Vijay
==> y = 2x
==> y = 2×21
<u>==> y = 42</u>
Answer:
Logan is 5 years old.
Step-by-step explanation:
THE SUM of their ages is 14, if logan is ten, then brody is 14. 14+10=24. Logan is 5. 5+4=9, 9+5=14.