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agasfer [191]
2 years ago
12

Use a graphing calculator to solve the equation -3 cost= 1 in the interval from . Round to the nearest hundredth.

Mathematics
1 answer:
RSB [31]2 years ago
8 0
In place of t, or theta, I'm going to utilize x instead. So the equation is -3*cos(x) = 1. Get everything to one side and we have -3*cos(x)-1 = 0

Let f(x) = -3*cos(x)-1. The goal is to find the root of f(x) in the interval [0, 2pi]

I'm using the program GeoGebra to get the task done of finding the roots. In this case, there are 2 roots and they are marked by the points A and B in the attachment shown

A = (1.91, 0)
B = (4.37, 0)

So the two solutions for theta are
theta = 1.91 radians
theta = 4.37 radians

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Triangle Numbers are generated by creating trianglesof progressively larger size. Example include pinswhen bowling or balls when
iris [78.8K]

for the first term:

n= 1 there is 1 item

n=2 there are 2+1 = 3 items

n = 3 there are 3+2+1 = 3+2 = 6 items

n = 4 there are 4+3+2+1 = 4+6 = 10 items

We are adding the "n" term each time

n = 5 10+5 = 15

n= 6 15+6 = 21

n = 7 21+7 = 28

n = 8 28+8 = 36

There would be 36 items in the 8th step

4 0
1 year ago
Sum of all natural numbers from100to300 which are divisible by 4and 5 is​
My name is Ann [436]

If x is a number that is both divisible by 4 and 5, then

\begin{cases}x\equiv0\pmod4\\x\equiv0\pmod5\end{cases}

4 and 5 are coprime, so we can use the Chinese remainder theorem to solve this system and find that x=20n is a solution to the system, where n is any integer. Simply put, any multiple of 20 fits the bill.

Now, there are 11 numbers between 100 and 300 that are divisible by 20 (100, 120, 140, and so on). We have 20n=100 when n=5, so the sum we want to compute is

\displaystyle\sum_{n=5}^{15}20n=\boxed{2200}

4 0
3 years ago
Suppose 15% of $x$ equals 20% of $y$. What percentage of $x$ is $y$ ?
viktelen [127]

Answer:

Step-by-step explanation:

4 0
2 years ago
Explain when you should reverse the inequality symbol when solving an equality.
rosijanka [135]
You must “reverse” the inequality sign to make the statement true: When you multiply by a negative number, “reverse” the inequality sign. Whenever you multiply or divide both sides of an inequality by a negative number, the inequality sign must be reversed in order to keep a true statement.
3 0
3 years ago
In x^a=y, y^b=z, z^c=x, then prove that abc=1​
Marysya12 [62]

Step-by-step explanation:

Let, x^a =y......(1) and

y^b =z.....(2) and

z ^c =x......(3).

Now, using (1) in (2) we get,

x ^ab =z......(4).

Now, using (4) in (3) we get,

x ^abc =x

or, x ^abc =x ^1

or, abc=1.

Hope it will help :)

7 0
2 years ago
Read 2 more answers
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