Step-by-step explanation:
Answer is k>-1
a = 5 in
b = 12 in
c = 15 in
the lengths of the sides a, b and c
the perimeter is P = a + b + c = 5 + 12 + 15 = 32 in
let the dimensions of the new triangle be
a1 = (1/5)*5 in
b1 = (1/5)*12 in
c1 = (1/5)*15 in
the perimeter is P1 = a1 + b1 + c1 = (1/5)5 + (1/5)12 + (1/5)15 = (1/5)(5 + 12 + 15) = (1/5)P1
P1 = (1/5)P
P1/P = 1/5 = a/a1 = b/b1 = c/c1
the ratio of the perimeters is equal to the ratio of the corresponding sides.
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Answer:6.25 grams of protein is provided by this serving of raisins.
Step-by-step explanation:
The calorie count C for a serving of food can be computed using the formula,
C= 4h + 9f + 4p, where
h is the number of grams of carbohydrate contained in the serving,
f is the number of grams of fat contained in the serving, and
p is the number of grams of protein contained in the serving.
A serving of raisins contains 157 calories and 33 grams of carbohydrate. If raisins are a fat-free food, if means that f = 0
Therefore
157 = 4 × 33 + 9 × 0 + 4p
157 = 132 + 4p
4p = 157 - 132 = 25
p = 25/4 = 6.25