Andy maximal age= 13.3
Matt maximal age= 21.7
I will translate the problem into 2 equation where X is Andy's age and Y is Matt's age.
Y+5= 2X
Y= 2X-5
X+Y<35
From this equation, it is clear that you won't be able to find their age. But you can find maximal age of Andy and Matt by changing X+Y<35 into X+Y=35
Inserting the first equation to the second equation you will get:
X+Y=35
X+ (2X-5)=35
3X= 35+5=40
X=13.3
X+Y=35
13.3+Y=35
Y= 21.7
Step-by-step explanation:
the only reason you would need help with this is, if you don't understand what exponents are and how they work.
because once you understand that, you can do the whole question in 30 seconds yourself. way faster than the posting here and then copying answers back into your system.
so, let me explain this important element :
when you have something like 5³, then this 3 is the exponent, and the 5 is the base.
when we talk about such a thing we typically say "5 to the power of 3".
now what did it mean ?
well, it is a multiplication. a multiplication of the base by itself (like when we square a number).
and the exponent tells is how often the base is multiplied by itself.
so, back to my example :
5³ = 5×5×5
3² = 3×3
13⁴ = 13×13×13×13
once you understand that, you can solve the question yourself in seconds.
e.g. the first is looking for the equivalent of 7⁴.
we need to find the answer option that dissolves this like the examples above to 7×7×7×7.
and we find B to be the right answer.
for 3⁶ = 3×3×3×3×3×3
and E is right. and so on.
First, we are going to draw an auxiliary horizontal line; next, we are going to place a protractor at the beginning of our line and draw a point at 60°. Now, we can use a ruler to measure 6 cm in our horizontal line and draw a solid line. Next, we are going to place our rule so the point at the beginning of the rule and the point at 60° lie on the same line; then we are going to measure 7 cm and draw a solid line. Last but not least we can join points A and C drawing a line.
We need a 2 and a 3 to produce a six. Because we are dividing by ""...
We need a "" in the numerator.
In this way, x+y = 5+3 = 8.
answer: 8
We know that
sin 45°=√2/2
and
in the triangle ABC
sin 45°=AC/AB----------> AC=AB*sin 45°--------> 5*√2/2
the answer is
the option D) AC=5√2/2