I don't understand what you're trying to do in your first problem.
Your second answer is correct.
a triangle has a base 15ft and an altitude of 8ft find the area =60ft^2
Your second answer is correct.
Yes. That's correct.
1. Keep the first fraction as it is: 30/49.
2. Flip the second fraction (the divisor) to find its reciprocal: 21/16 becomes 16/21.
3. Multiply the first fraction by the reciprocal of the second fraction: (30/49) * (16/21).
Now, let's simplify this expression:
To simplify the multiplication of fractions:
- Cancel out any common factors between the numerator of one fraction and the denominator of the other fraction.
- Multiply the remaining numerators together to get the new numerator.
- Multiply the remaining denominators together to get the new denominator.
Applying this to our expression:
- Cancel out the common factor of 2 between the numerator (30) and the denominator (16).
- Cancel out the common factor of 7 between the numerator (21) and the denominator (49).
This gives us:
(30/49) * (16/21) = (15/7) * (2/1).
Now, we multiply the numerators (15 * 2) and the denominators (7 * 1) together to get the final result:
(15/7) * (2/1) = 30/7 = 4 2/7.
Therefore, 30/49 divided by 16/21 is equal to 4 2/7 or 4.2857 (rounded to four decimal places).
Regarding the second question about finding the area of a triangle:
The formula to find the area of a triangle is given by: Area = (Base * Height) / 2.
Given that the base of the triangle is 15ft and the altitude (height) is 8ft, we can apply the formula as follows:
Area = (15 * 8) / 2 = 120 / 2 = 60ft^2.
Therefore, the area of the triangle is 60 square feet.