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mezya [45]
3 years ago
13

Need Help ASAP

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0
The sum of the interior angles of a triangle is 180 degrees

2x-9+3x+x+3=180
6x-6=180
6x=186
x=31

A=2(31)-9
A=62-9
A=53
You might be interested in
For what values of x∈[0,2π] does the graph of y=x+2cosx have a horizontal tangent?
Katen [24]

Answer: x = pi/6 and x = pi/3.

Step-by-step explanation:

We have the function:

y = x + 2*cos(x)

It will have a horizontal tangent at the point where it's derivate is equal to zero.

Then first let's differentiate y.

y' = dy/dx = 1 - 2*sin(x).

Then we must find the value of x between 0 and 2*pi (or 0° and 360°)

y'(x) = 1 - 2*sin(x) = 0.

Let's solve that:

2*sin(x) = 1

sin(x) = 1/2.

We know that:

sin(30°) = 1/2.

and

Sin(120°) = 1/2

Then let's convert 30° into radians.

We know that:

pi = 180°.

Then:

pi/180° = 1.

30° = 30°*(pi/180°) = (30°/180°)*pi = (3/18)*pi = pi/6

120° = (120°/180°)*pi = (12/18)*pi = (1/3)*pi = pi/3.

Then the two values of x are: pi/6 and pi/3.

3 0
2 years ago
Suppose you want to estimate the proportion of traditional college students on your campus who own their own car. From research
Lapatulllka [165]

Answer:

2,655 students

Step-by-step explanation:

The z-score for a 99% confidence interval is z = 2.576

The standard error for a proportion p is:

SE = z*\sqrt{\frac{p*(1-p)}{n} }

For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:

0.02 = 2.576*\sqrt{\frac{0.2*(1-0.2)}{n}}\\n=2,654.31

Rounding up to the next whole student, the sample size needed is 2,655 students.

5 0
2 years ago
How can you determine if two expressions are equivalent?
Vladimir [108]
Simplify them until they can be simplified no more, then compare both sides. 
7 0
3 years ago
The first three steps of completing the square to solve the quadratic equation x^2 +4x-6=0, are shown below
GarryVolchara [31]

Answer: x=sqrt10-2, x=-sqrt10-2

Step-by-step explanation: square root both sides of the equation.

x+2=sqrt10,-sqrt10

subtract 2 from both sides of the equation

x=sqrt10-2, -sqrt10-2

5 0
3 years ago
Two pounds of dried cranberries call $5.04 , 3 pounds of dried cranberries cost $7.56, and 7 pounds of dried cranberries cost $1
vivado [14]
The answer is B. Each lb of cranberries is 2.52
Hope this helps!
8 0
3 years ago
Read 2 more answers
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