The answer will be 36.9. Hope this helps
The measure of the third angle in the triangle is 104 degrees
<h3>How to determine the measure of the third angles?</h3>
Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
Read more about triangles at:
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Answer:
There will be a 100 branches on tree in approximately 12 years.
Step-by-step explanation:
Concluding part of the question
In how many years will the number of branches be 100?
Solution
N(t)=38 × (9/5) ^ t/7.3
N(t)=38 × (1.8) ^ t/7.3
a) N = 100, t = ?
100 = 38 × (1.8) ^ (t/7.3)
(100/38) = (1.8) ^ (t/7.3)
2.632 = (1.8) ^ (t/7.3)
Taking the natural logarithms of both sides,
In 2.632 = In [(1.8) ^ (t/7.3)]
0.9676 = (t/7.3) × In 1.8
0.9676 = (t/7.3) × 0.5878
t = (0.9676 × 7.3) ÷ 0.5878
t = 12.02 years = 12 years.
Hope this Helps!!!
This question is super simple when you sit down and think about what it's asking. What is the cost of the whole paving lot?
We know that the paving lot is 90 ft by 75 ft, we need to start by finding the area of the whole paving lot.
Area of a rectangle is Length multiplied by Width.
90 × 75 = 6,750
The area of the paving lot is 6,750 feet squared.
Now we need to find the cost of the paving lot, we know that one square yard costs $3.50 to pave.
We can solve this by first taking the step to finding how many yards are in the paving lot.
A yard is 3 feet so we'll divide the area of the paving lot by 3.
6,750 ÷ 3 = 2,250
With the paving lot having 2,250 square yards we can now multiply this by the $3.5 cost per square yard.
2,250 × 3.5 = 7,875
It should cost $7,875 dollars to pave the entire lot.