Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
Now we solve for a.
a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
Step-by-step explanation:
The arc of a circle is a portion of the circumference of a circle and the radius is a straight line from the center of a circle to the circumference of a circle.
Perimeter of the trapezoid = a + c + 2b
58 = a + c + 2b
Average of bases = (a + c)/2
19 = (a + c)/2
a + c = 38
Substituting (a + c) into the first equation:
58 = 38 + 2b
b = 10 in
We also know that:
c = 2b + 7
c = 2(10) + 7
c = 27 in
a + 27 = 38
a = 11 in
a = 11 in; b = 10 in; c = 27 in
Each cheeseburger is $4 and each cup of lemonade is $1.
So 1 cheeseburger and 2 cups of lemonade would cost $6.