Which of the following sets of numbers could NOT represent the three sides of a triangle?

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 2 and flipping heads? *

leonid [27]

Answer:

1/12

Step-by-step explanation:

First, you should already be able to understand that the only number less than 2 on this cube is 1. So, you can understand that there is a 1/6 chance because there is a total of 6 numbers, and out of those, only 1 of those are your answer.

Then, you will note that a coin only has 2 sides, so there is a 50/50 chance of getting heads, or 50%. Now, you will turn that into a fraction, which is 1/2.

Next, you will multiply to make the denominators the same. And what you do to the denominator must happen to the numerator. (1/6 * 2--> 1/12 and 1/2 * 6 = 1/12)

Hope this helps! :)

7 0

3 years ago

Read 2 more answers

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

6 0

3 years ago

HELP PLZ!!!! WILL MAKE BRAINLIEST

nadya68 [22]

Answer:

0.05 decimal

1/20 fraction

Step-by-step explanation:

-1/2x-3=-9-1/5x

Add 1/2 to -1/5 and add 9 to -3

6=3/10

Put 3/10 to decimal

.3

6=0.3

.3/6

0.05

6 0

3 years ago

(08.04 MC)

skelet666 [1.2K]

Answer:

292,968

Step-by-step explanation:

As we know,

Sum of a geometric sequence (S) = $\frac{a(1-r^{n}) }{(1-r)}$

where,

a = first term of sequence,

r = the constant ratio,

n = number of terms in sequence.

So, according to the question,

a = 3,

r = 5,

n = 8.

by substituting the values in the above formula, we get;

⇒ $S=\frac{3(1-5^{8}) }{(1-5)}$

⇒ $292,968$

7 0

3 years ago

I need help asap plz

Lostsunrise [7]

Answer:

A

Step-by-step explanation:

The constant of proportionality is the ratio between the two proportional variables in a directly proportional relationship. In this case, the variables are $x$ and $y$ .

To find the constant of proportionality, all we have to do is divide any value of $y$ by its corresponding value of $x$ . Let's take the values in the first row of the table. We know that $x=2$ and $y=12$ , so the constant of proportionality is $\frac{y}{x}=\frac{12}{2} =6$ . Hope this helps!

7 0

3 years ago