1. Twyla's pet cat weighs 8lb. Her pet hamster weighs 12 ounces. What is the ratio of her cat's weight to her hamster's weight?
2. The non-right angles of a right triangle are in the ratio 1:5. Write the equation that could be used to find the measure of each angle.
a=15
1 lb = 16 oz.
12/128 = 3/32
a + 5a + 90 = 180
8:12
1. To find the ratio of Twyla's cat's weight to her hamster's weight, we need to convert both weights to the same unit. Since the cat's weight is given in pounds (lb) and the hamster's weight is given in ounces (oz), let's convert the hamster's weight to pounds.
1 pound = 16 ounces.
So, 12 ounces is equivalent to 12/16 = 0.75 pounds.
Now, we have the cat's weight as 8 pounds and the hamster's weight as 0.75 pounds.
To find the ratio, we divide the weight of the cat by the weight of the hamster:
Ratio = Cat's weight / Hamster's weight = 8 lb / 0.75 lb
Simplifying the division:
Ratio = 10.67
Therefore, the ratio of Twyla's cat's weight to her hamster's weight is approximately 10.67 to 1.
2. Let's denote the measures of the non-right angles in the right triangle as x and 5x.
In a triangle, the sum of all angles is 180 degrees. Since it is a right triangle, one of the angles is 90 degrees.
This gives us the equation:
90 degrees + x degrees + 5x degrees = 180 degrees
Combining like terms:
6x + 90 = 180
Now, we can isolate x by subtracting 90 from both sides of the equation:
6x = 90
Dividing both sides by 6:
x = 15
Therefore, the measures of the non-right angles in the right triangle are x = 15 degrees and 5x = 75 degrees.