Answer:
f(n) = n/36
Step-by-step explanation:
The length of a string is given in yards, is a function f(n) of the length n in inches.
We have to write a function rule for this situation.
∵ 36 inches = 1 yard
∴ 1 inch = 1/36 (yard)
∴ n inches = n/36
and function representing the length will be
f(n) = n/36
Answer:
False. It is half as large.
Step-by-step explanation:
The best way to answer a question like this is to try an example. The easiest case is an equilateral triangle where all 3 sides are equal. So suppose that all sides are 10 units long.
The perimeter (P) is 3s. Let
- s = 10 units.
- Then P = 3*10
- P = 30
You are instructed to cut all sides in half
- s = 5
- p = 3*S
- p = 3 * 5
- p = 15
The perimeter is 1/2 as larger as the original, not 1/4. The statement is FALSE.
Does this work with any triangle. Try one that is Scalene (no side equals any other side).
- s1 = 5
- s2 = 6
- s3 = 7
- P = s1 + s2 + s3
- P = 5 + 6 + 7
- P = 18
Now you cut all three sides in 1/2
- s1 = 2.5
- s2 = 3
- s3 = 3.5
- P = s1 + s2 + s3
- P = 2.5 + 3 + 3.5
- P = 9
9 is 1/2 of 18. The new perimeter is 1/2 the old. The statement is false.
Answer:
just took the test
Step-by-step explanation:
:)
Answer:
B. 9 feet
Step-by-step explanation:
Using the Pythagorean theorem, the height from the ground to the window (12 ft) is one leg of the right triangle and the length of the ladder while propped against the house (15 ft) is the hypotenuse. Therefore, we need to find the other leg of the right triangle represented by how far the base of the ladder is placed from the base of the house:
a² + b² = c²
12² + b² = 15²
144 + b² = 225
b² = 225 – 144
b² = 81
b = √81 = 9
Therefore, the answer is (B) 9 feet.