The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1 answer:
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Complete Question:
Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.
(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.
(b) Determine the scale factor from the first map to the second map.
(c) A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map?
(d) Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper:
Answer:
(a) Length = 4cm
(b) Scale factor = 0.5
(c) 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale
(d) See attachment for triangle
Step-by-step explanation:
(a) Choose a length between 5 cm and 15 cm
<em>--- This is solely up to you (you can make use of any length between 5 cm and 15 cm)</em>
(b) The scale factor
The scale factor (k) is calculated as:
(c) What are side lengths of 3 cm, 4 cm, and 5 cm on the second landmark
Using:
The old lengths, in this case are: 3cm, 4cm and 5cm
Make New length the subject
When
When
When
So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale
(d) See attachment for triangle
Answer:
Explanation:
The number of emails is multiplied by <em>4</em> every <em>9.1 weeks.</em>
Thus, since <em>Tobias initially sent the chain letter to 37 friends</em>, the number of letters will grow as per this geometric series:
Start: 37 letters
- In 9.1 weeks: 37 × 4
- In 2 × 9.1 weeks: 37 × (4)²
- In 3 × 9.1 weeks: 37 × (4)³
As you see, the exponent is the number of weeks divided by 9.1
Thus, if your variable is the number of weeks, t, then the exponent is t/9.1
And the exponential function, P(t) will be: