Since this is a right triangle, we can use the Pythagorean Theorem, which states a² + b² = c² in a right triangle.
Plugging our numbers in, we get:
(12)² + (35)² = c²
From there, we can square the numbers.
(144) + (1225) = c²
Then, we can add them together to find the sum;
(1369) = c²
And finally, we can find the square root of both sides.
(37) = c
Therefore, 37 is the answer and your answer choice is correct.
1. Hypothesis: If you were to walk to the movie theater depending on its distance from where you are traveling or walking from could or would be longer then it would if you biked or drove (using a car) there.
2. If today is not Thrusday, then tommmorw is not Friday.
3. Both are true
Answer:
The number of pounds of cashew is 11
Step-by-step explanation:
Let P represent the peanut
Let C represent the cashew nut.
From question, we were told that Elijah brought a total of 16 pounds of peanuts and cashew nuts. This can be written as:
P + C = 16 (1)
The total cost = $49.50
Cost per peanut = $2.75
Cost per cashew = $3.25
The above can be represented as:
49.50 = 2.75P + 3.25C. (2)
From equation 1,
P + C = 16
P = 16 — C
Substitute the value of P into equation 2:
49.50 = 2.75P + 3.25C.
49.50 = 2.75(16 — C) + 3.25C
49.50 = 44 — 2.75C + 3.25C
49.50 = 44 + 0.5C
Collect like terms
49.50 — 44 = 0.5C
5.5 = 0.5C
Divide both side by 0.5
C = 5.5/0.5
C = 11
Therefore, the number of pounds of cashew is 11
