Answer:
41.04 meters
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. The initial position is given by A. The tree is denoted as C and the fence post is denoted as B. Since the use of sine rule will complicate the question, it will be easier to solve this question using the cosine rule. Therefore, cosine rule will be used to calculate the length of BC. The cosine rule is:
BC^2 = AB^2 + AC^2 - 2*AB*AC*cos(BAC).
The question specifies that AC = 70 meters, BAC = 25°, and AB = 35 meters. Plugging in the values:
BC^2 = 35^2 + 70^2 - 2(35)(70)*cos(25°).
Simplifying gives:
BC^2 = 1684.091844.
Taking square root on the both sides gives BC = 41.04 meters (rounded to two decimal places).
Therefore, the distance between the point on the tree to the point on the fence post is 41.04 meters!!!
Answer:
a
b
c
Step-by-step explanation:
Generally the size of the sample sample space is mathematically represented as
Where N is the total number of objects available and r is the number of objects to be selected
So for a, where N = 19 and r = 8
For b Where N = 25 and r = 3
For c Where N = 23 and r = 2
Answer:
x=−5
Step-by-step explanation:
Steps:
Step 1 to 4 : Simplify
Steps 5: Calculating the Least Common Multiple
Steps 6: Calculating Multipliers
The correct answer for this question is x=−5
Answer: x=−5
<em><u>Hope this helps.</u></em>
Electron transfer theory describes the parameters which control the rate at which an electron is transferred from one atom or molecule to another.
<h3>
What was the basic principle of Marcus theory?</h3>
- In theoretical chemistry, Marcus theory is a theory originally developed by Rudolph A. Marcus, starting in 1956, to explain the rates of electron transfer reactions – the rate at which an electron can move or jump from one chemical species.
- Marcus' method (also referred to as Marcus's method and Method of Marcus) is a structural analysis method which was designed to design concrete slabs with rectangular, orthogonal shapes. It represents an adaptation of the strip method.
- Marcus Hush theory (M-H theory) was developed in 1956 by Rudolph A. Marcus which explains the fundamentals of the redox/ electron transfer reactions in terms of the rate of jumping/moving an electron from oxidant species (electron donor) to the reductant (electron acceptor).
- The "Marcus Inverted Region" (MIR) is that part of the function of rate constant versus free energy where a chemical reaction becomes slower as it becomes more exothermic.
We want to see how we can model the difference: -8 - 3 + 3
The correct option is D:
"add 3 positive counters and 3 negative counters"
We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.
Now, let's study the math of our expression.
-8 - 3 + 3
Remember that we can perform the operation in any order we want, so we can write this as:
-8 + (-3 + 3)
Notice that the thing inside the parentheses is equal to zero, so we have:
- 8 + (-3 + 3) = -8
So to not change the value, we add 3 and we subtract 3.
Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.
Then the correct option is D.
To learn more about Marcus refer to,
brainly.com/question/23140234
#SPJ1
Answer:
It is f(x) = -x^2 + 2x + 4.
Step-by-step explanation:
As it has a maximum the coefficents of x^2 will be negative.
f(x) = -x^2 + 2x + 4
The y-intercept occurs when x = 0 so
y-intercept = 0 + 0 + 4 = 4.
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