If an architect wants to draw a plan for a house that is 75 ft by 80 ft, and his paper is 10 in. by 17 in., what is the best sca

Let's calculate the missing sides first. For the large triangle, we can utilize the Pythagorean theorem, which is a^2 + b^2 = c^2. Here, a^2 is 13^2 - 5^2, which results in 169 - 25 = 144. Therefore, the square root of a is equal to the square root of 144, which gives us a = 12.
For the smaller triangle, we compute 5^2 - 3^2 = b^2, yielding 25 - 16 = 9, so b = 4. The length of the Elm Trail totals 13 km + 5 km, making it 18 km, while the Dogwood Trail calculates to 12 + 5 + 4 + 3 = 24 km.
Thus, the correct selections are 2 and 5.

Answer:

b. 0.86, 0.87

Step-by-step explanation:

a. Refer to the attached solution for part a

Answer:

50 Educators

Step-by-step explanation:

To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.