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3 years ago

Two sides of a triangle have lengths 6 and 18. Which expression describes the length of the third side?

Mathematics

1 answer:

eimsori [14]3 years ago

3 0

I believe you have to multiply 6 by 8 which gives you the answer of 48.

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Help! Fast! Don't want to fail Please!

Marta_Voda [28]

1. 45
2. idk
3. See attached
4. 190

6 0

3 years ago

Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)

lisov135 [29]

Answer:

(a) The system of the equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ has no solution.

(b) The system of the equations $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ has many solutions $y=\frac{2x}{3}-\frac{5}{3}$

Step-by-step explanation:

(a) To find the solutions of the following system of equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ you must:

Multiply $2x-3y=3$ by 2:

$\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}$

Subtract the equations

$4x-6y=3\\-\\4x-6y=6\\------\\0=-3$

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ you must:

Isolate x for $4x-6y=10$

$x=\frac{5+3y}{2}$

Substitute $x=\frac{5+3y}{2}$ into the second equation

$16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40$

The system has many solutions.

Isolate y for $4x-6y=10$

$y=\frac{2x}{3}-\frac{5}{3}$

3 0

3 years ago

Find the scale factor of the similar polygons. Simplify your answer. (Hint: New/Old)

Alenkasestr [34]

1.5 :) :) :) :) :) :)

7 0

3 years ago

The weather forecast for the weekend is a 34% chance of rain for Saturday and a 32% chance of rain for Sunday. If we assume that

kaheart [24]

Answer:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

Step-by-step explanation:

We can define the following notaton for the events:

A = It rains over the Saturday

B = It rains over the Sunday

We have the probabilities for these two events given:

$P(A) = 0.34 , P(B) = 0.32$

And we are interested on the probability that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:

$P(A \cup B)$

And for this case we can use the total probability rule given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

And since we are assuming the events independent we can find the probability of intersection like this:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

6 0

3 years ago

Find the solution to the equation z – 7 = 8.

Bas_tet [7]

Z - 7 = 8

subtract 7 from both sides

z = 15

hope this helped!

7 0

2 years ago

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