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3 years ago

Given the side lengths below, determine which triangle is not possible.

Mathematics

1 answer:

Eva8 [605]3 years ago

4 0

Answer:

(D) 3, 3, 6

Step-by-step explanation:

The triangle inequality says the sum of the shortest two legs must be longer than the longest. In the case of {3, 3, 6}, the sum is exactly equal to the longest, so the "triangle" will look like a line segment and have zero height and zero area,

Some authors describing the triangle inequality find that to be an acceptable condition. Apparently the author of this question does not.

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Solve for x <br> Need help asap

vlabodo [156]

Answer:

$x=55$

Step-by-step explanation:

Corresponding angles of two parallel lines are always equal. The angle on "top" of $2x+6$ corresponds with the angle marked as $x+9$ . Therefore, its measure must also be $x+9$ .

Since these two angles form one side of a line which has 180 degrees, we have the following equation:

$2x+6+x+9=180$

Combine like terms:

$3x+15=180$

Subtract 15 from both sides:

$3x=165$

Divide both sides by 3:

$x=\frac{165}{3}=\boxed{55}$

3 0

3 years ago

Nth Term help please

liberstina [14]

$\bf \begin{array}{|ll|ll} \cline{1-2} term&value\\ \cline{1-2} a_1&3\\[0.8em] a_2&\stackrel{3\cdot 2}{6}\\[0.8em] a_3&\stackrel{6\cdot 2}{12}\\[0.8em] a_4&\stackrel{12\cdot 2}{24}\\[0.8em] a_5&\stackrel{24\cdot 2}{48}\\[0.8em] a_6&\stackrel{48\cdot 2}{96} \\ \cline{1-2} \end{array}$

8 0

4 years ago

How do you solve the equation 2cos^2 - cosx = 0 for all solutions?

exis [7]

Answer:

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

P(2P-1) = 0

P = 0 and 2P-1 = 0

P= 0 and P = 1/2

Since P = cosx

cosx = 0 and cos(x) = 1/2

If cos(x) = 0

x = cos⁻¹0

x = 90⁰

x = π/2

If cos(x) = 1/2

x = cos⁻¹1/2

x = 60⁰

x = π/3

<em>Hence the solutions to the equation are π/2 and π/3.</em>

7 0

3 years ago

Paul owes Paula 35 cents and has a pocket full of 5-cent coins, 10-cent coins, and 25-cent coins that he can use to pay her. Wha

kykrilka [37]

So, what is the case in which he uses the least coins? can he use 1 coin? no, there isn't a 35 cent coin. can he use 2 coins? yes! he can use 25+10 cent coins!

now, the largest number of coins means the coins of the smallest value: so using only 5 cent coins. How many would this be?

we have to divide:

35/5=7

so we would use 7 coins.

And the difference is 5: 7-2 is 5.

6 0

3 years ago

If f(3) = 3^x and g(x) = 7^x then the graph of g(x) will be — the graph of f(x) when x<0.

Allushta [10]

Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.

<h3>What are the exponential functions?</h3>

The given exponential functions, f(x) and g(x), are respectively given by:

$f(x) = 3^x$

$g(x) = 7^x$

When x < 0, one possible value is x = -1, hence evaluating the functions at these values:

$f(-1) = 3^{-1} = \frac{1}{3}$

$g(-1) = 7^{-1} = \frac{1}{7}$

$\frac{1}{3} > \frac{1}{7}$ , hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.

More can be learned about exponential functions at brainly.com/question/25537936

3 0

2 years ago