This is a right triangle, the measure of angle A is 90 degrees.
First thing to do I guess is finding B and C.
tan^-1 (7/12) = 30 degrees
tan^-1 (12/7) = 60 degrees
60 + 30 = 90
180 - 90 = 90. Therefore angle A = 90 degrees
do you want me to explain what the distributive property is????
i'm confused-
Weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an apple=weight of an orange -10% weight of an orange
a.<span>By what percentage is the grapefruit heavier than the apple?
We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.
</span>
weight of an grapefruit=weight of an <span>orange+8% weight of an orange
</span>weight of an orange=weight of an apple<span> +10% weight of an apple
</span>
-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8%(weight of an apple+10% weight of an apple)= weight of an apple + 18% weight of an apple + 2% weight of an apple= <span>weight of an apple + 20% weight of an apple
</span><span>b.By what percentage is the apple lighter than the grapefruit?
</span>weight of an grapefruit=weight of an apple + 20% weight of an apple<span>
</span>
-> The apple ts 20% lighter than the grapefruit.
Well, we would first have to write an equation. Let's start with letter (a). We will put in the variable (x) for the number of children there were, because we don't know how many there were. So... IF we knew how many children there were, what would we do to find out how much pie each child got? Of course, we would divide! Soooo....
6 (mangos) divided by x (the number of children) = 5/6
Now, we solve for x!
So, our first step in the equation 6/x=5/6 would be to multiply, because multiplication is the opposite of division! So, just let me see if I can work this.....
6/x(×)5/6
So, we now can cross multiply and get...
5x=36 (Because 5 time x is 5x and 6 times 6 is 36)
Now, we divide!
So, 5x/5 cancels out and we get just plain little x. 36/5 gives us.....
Improper Fraction Form: 36
Mixed Number Form: 7 1/5
Decimal Form: 7.2
And that's your answer! I really hope this helps! ^_^
Let the price of a hot dog be h and price os a soda be s dollars. Then we have:-
4h + 3s = 6.55.......................(1)
2h + 5s = 4.85 multiply this equation by -2:-
-4h -10s = -9.70......................(2)
Adding (1) and (2):-
-7s = -3.15
s = -3.15 / -7 = 0.45
So $0.45 is the price of a soda
To find price of a hot doe plug s = 0.45 into equation (1):-
4h = 3(0.45) = 6.55
4h = 6.55-1.35 = 5.20
h = 5.20 / 4 = $1.30
The answer is price hot dog = $1.30
