Answer:
The tree is 16.25 m tall.
Step-by-step explanation:
Attached is a diagram that better explains the problem.
From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.
To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.
Using SOHCAHTOA trigonometric function:
tan(20) = x/39.2
=> x = 39.2 * tan(20)
x = 39.2 * 0.364
x = 14.27m
Hence, the height of the tree is:
(14.27 + 1.98)m
16.25m
The tree is 16.25 m tall.
The final population of the flies is equal to the growth rate minus the number of flies consumed by the spiders. That is,
final population = 6(3^x) - (4x + 1)
Substituting 2 to the x of the equation above,
final population = 6(3²) - (4(2) + 1) = 45
Thus, the final population of the flies would be 45.
Answer:
<h2><u><em>
C. 10 weeks</em></u></h2>
Step-by-step explanation:
Joshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?
A. 8
B. 9
C. 10
D. 11
cost of television divided by weekly savings = number of weeks
625 : 62.50 = 10 weeks
Answer:
The time required is 15.97 second.
Step-by-step explanation:
Consider the provided information.
A skywalk is 90 feet beyond the canyon's edge and is 4080 ft above the canyon floor.
First find the distance between skywalk and canyon floor by using Pythagorean theorem.
Distance between skywalk and canyon's edge = 
Distance between skywalk and canyon's edge = 
Substitute h = 4080.99 in the provided formula.
Hence, the time required is 15.97 second.
For this case we have the following system of equations:
We can Rewrite the system of equations of the form:
Where,
A: coefficient matrix
x: incognita vector
b: vector solution
We have then:
![A=\left[\begin{array}{ccc}5&3\\-8&-3\end{array}\right]](https://tex.z-dn.net/?f=%20A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%263%5C%5C-8%26-3%5Cend%7Barray%7D%5Cright%5D%20%20)
![x=\left[\begin{array}{ccc}x\\y\end{array}\right]](https://tex.z-dn.net/?f=%20x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20)
![b=\left[\begin{array}{ccc}17\\9\end{array}\right]](https://tex.z-dn.net/?f=%20b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D17%5C%5C9%5Cend%7Barray%7D%5Cright%5D%20%20)
Then, the determinant of matrix A is given by:
Answer:
The determinants for solving this linear system are:
