Answer:
1,474,951.
Step-by-step explanation:
Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

Therefore, the population of the city in 13 years time will be:

The population be at that time will be approximately 1,474,951.
First problem:
cos (theta)=1
Using the inverse cosine function, you get theta = 0.
Now we find tan 0 = 0
cot(theta) = 1/tan(theta) = 1/0
Division by zero is undefined, so the answer is d. undefined
Second problem:
cos (theta)=1
Use the inverse cosine function.
theta = 0°
Answer: c. 0°
The value 0.92 indicates the relative density of the ice.
Data;
- Density = 0.92g/ml
- Specific gravity = 0.92
<h3>Specific Gravity</h3>
Specific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.
mathematically;

The value 0.92 indicates the relative density of the ice.
Learn more on specific gravity here;
brainly.com/question/14932758
Answer:
2x +2x=90
ZRQ
Step-by-step explanation:
FOR THE FIRST ONE, SUM OF ANGLES IN A TRIANGLE IS 180 AND SINCE WE KNOW ONE ANGLE IS 90° THE REST WOULD ADD UPTO 90°
THE SECOND ONE, JUST FOLLOW THE SEQUENCE OF THE MARKED LINES
for XYZ they went from the unlabeled line to the double marked line to the single marked line. similarly go for ZRQ
Answer:
<u>135.94 feet</u>
Step-by-step explanation:
Split the problem into two parts :
- Distance between viewer and building
- Height of the top part of the building
<u>Distance between viewer and building</u>
- The lower part of the building is 40 feet, as it is mentioned the viewer is 40 feet above street level
- Let the distance be called 'd'
- Therefore, tan37° = 40/d
- tan37° = 3/4 = 0.75
- ⇒ 40/d = 0.75
- ⇒ d = 40/(3/4) = 40 x 4/3 = 160/3 = 53.3 feet
<u>Height of the top part of the building</u>
- Let the height of the top part be 'h'
- Therefore, tan61° = h/d = h/53.3
- tan61° = 1.8
- ⇒ h/53.3 = 1.8
- ⇒ h = 53.3 x 1.8 = 95.94 feet
<u>Total height of building</u>
- Lower part + Top part
- 40 + 95.94
- <u>135.94 feet</u>
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