Answer:
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Step-by-step explanation:
The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.
Depression triangle
The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,
using tangential ratio
tan 35° = opposite/adjacent
tan 35° = a/8
cross multiply
a = 8 tan 35°
a = 8 × 0.70020753821
a = 5.60166030568
a = 5.602 ft
Elevation triangle
The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.
tan 20° = opposite/adjacent
tan 20° = b/8
cross multiply
b = 8 tan 20°
b = 8 × 0.36397023426
b = 2.91176187413
b = 2.912 ft
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Given that Allison’s dog is 6 pounds more than 5 times the weight of Gail’s dog, it is important to know the following:
1. The word "more" indicates an Addition.
2. The word "times" indicates Multiplication.
Knowing this, you can write the following expression to represent "5 times the weight of Gail’s dog", where "g" is the weight of Gail’s dog:
Therefore, you can determine that the weight of Allison's dog (in pounds) is the sum of 6 pounds and 5 times the weight of Gail's dog (in pounds). Then, you can represent this with this algebraic expression:
Hence, the answer is:
16 is 10 +6, and 34 is 30+4
10*30=300
10*4=40
6*30=180
4*6=24
add them up: 300+40+180+24=544
Using an array to break
<span>https://www.lake.k12.fl.us/cms/lib05/FL01000799/Centricity/Domain/7908/Topic%204%20Centers%204th%20g...</span>
Answer:
Step-by-step explanation:
Angle GPE is an inscribed angle. It intercepts arc GFE. The rule for inscribed angles and the arcs they intercept is that the angle is half the measure of the arc it intercepts. Angle P is 96, so that means that arc GFE is twice that. 2(96) = 192. We have arc FG as 92, so that means that arc FE is 192 - 92 which is 100 degrees. The third choice down.
Answer:
180
Step-by-step explanation: my assumption is that u r asking what 3% is. If u r then the answer above is correct bc 60 = 1% so multiply 60 by 3
If this is not what u r looking for please rephrase ur question
