We have been given that the scale on a trail map is 0.5 cm : 1 km. The straight distance between 2 huts on the trail is 16.9 cm. We are asked to find the actual distance between 2 huts.

We will use proportions to solve our given problem.

$\frac{\text{Actual length}}{\text{Scale length}}=\frac{\text{1 km}}{\text{0.5 cm}}$

$\frac{\text{Actual length}}{\text{16.9 cm}}=\frac{\text{1 km}}{\text{0.5 cm}}$

$\frac{\text{Actual length}}{\text{16.9 cm}}\times \text{16.9 cm}=\frac{\text{1 km}}{\text{0.5 cm}}\times \text{16.9 cm}$

$\text{Actual length}=\frac{\text{1 km}}{\text{0.5}}\times \text{16.9}$

$\text{Actual length}=33.8\text{ km}$

Therefore, the actual distance between both huts is 33.8 km.

6 0

2 years ago

Find the measure of the missing angle using the triangle angle sum theorm

klasskru [66]

Answer:

31°

Step-by-step explanation:

The theorem states that all angle sums of any triangle add up to 180°.

128 + 21 = 149, and to find ?°, subtract 149 from 180 to get 31°.

8 0

2 years ago

70% of kids who visit a doctor have a fever, and 40% of kids who visit a doctor have a sore throat. If the probability that a ki

MissTica

Answer: 21%

Step-by-step explanation: (.70)(.30)=0.21

4 0

2 years ago

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