It would be A.) 7. hope this helps
If the ratios are 2:12:16 the equation that should be used is 2x + 12x + 16x = 180.
First solve for x:
2x + 12x + 16x = 180
30x = 180
x = 6
Then plug x back in to find the degrees for each angle:
2x = 2(6) = 12
12x = 12(6) = 72
16x = 16(6) = 96
These are the degrees for each triangle: 12 degrees, 72 degrees, and 96 degrees which adds up to 180 degrees in total.
The equation, also at the top, is 2x + 12x + 16x = 180.
Answer:
B: Yes, the participants are grouped by sun exposure, and then both treatments are randomly assigned within each group.
Step-by-step explanation:
Randomized block design is one in which the experimental units are categorized into groups which we call blocks. Thereafter, treatments will be randomly allocated to the experimental units inside each of the blocks.
Now, from the question, we can see that they were grouped in Blocks according to their outdoor activity which is degree of exposure to the sun. Thereafter the individual groups are randomly assigned treatments.
Thus, Option B is correct.
First, let the number of skis rented by x and the number of snowboards rented by y. We can then assemble the first equation from the amount of money made from the rentals.
44x + 58y = 2232
The second equation can come from the fact that 9 more skis were rented than snowboards.
y = x - 9
Therefore our system is:
44x + 58y = 2232
y = x - 9
Answer:
38.1 cm²
Step-by-step explanation:
area of full circle = π6² = 113.04 cm²
area of 150° segment = (150/360)(113.04) = 47.1 cm²
triangle base = sin 75° x 6 x 2 = 11.59
triangle height = cos 75° x 6 = 1.553
area of triangle = 1/2(11.59)(1.553) = 9 cm²
150° segment - triangle = 47.1 - 9 = 38.1 cm²