The distance covered by the hiker if he traveled a horizontal distance of 120 ft at and angle of 6° will be given by:
cos θ=adjacent/hypotenuse
let the hypotenuse be h, adjacent =120 ft, θ=6°, thus plugging in the values we shall have:
cos 6=120/h
h=120/cos 6
h=120.661 ft
Answer: 120.661 ft
The scale that will produce the smallest drawing would be b) 1mm:50m.
First, I converted all the measurements to centimeters:
a) 1cm:500cm
b) 0.01cm:5000cm
c) 5cm:1000cm
d) 10cm:2500cm
Then, you divide the scales:
a) 0.002
b) 0.000002
c) 0.005
d) 0.004
B is the smallest number, meaning it will be the smallest scale.
Answer:
- 4(14.75)
- 4(8) + 4(4.50) + 4(2.25)
Step-by-step explanation:
<em>Note: there is no table so the answer will be based on assumption</em>
<u>Analyzing the answer options:</u>
<u>4(14.75)
</u>
- This may be correct as contains 4 as multiplier
<u>48.00) + 4.50 +2.25
</u>
- Incorrect as no multiplier of 4
<u>4(8) + 4(4.50) + 4(2.25)
</u>
- This may be correct as contains 4 as multiplier and the sum is same as the first option
<u>48.00 +4.50 +2.25)</u>
- Incorrect as no multiplier of 4
Answer:
3.045%.
Step-by-step explanation:
We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.
We will use effective interest formula to solve our given problem.
, where,
r = Effective interest rate,
e = Mathematical constant,
r = Interest rate in decimal form.
Let us convert given interest rate in decimal form.
Substitute values:
Convert into percentage:
Therefore, the corresponding interest rate would be 3.045%.
