The mixed number 3 and one half is equivalent to a fraction with a denominator of 2

Which three angle measures can be used to make ABC?

solong [7]

Answer: B: 41, C: 68, D: 71.

Step-by-step explanation: A triangle's angles have to add up to 180 degrees for it to be considered a triangle. If you were to add up 71, 41, and 68, then it would equal 180 degrees. This means that out of all the other measurements, these are the three possible angle measures that can be used to make a triangle.

(I figured this out by taking 3 random sides from the list there and adding them up to see if they equal 180.)

4 0

3 years ago

Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The

guajiro [1.7K]

The given function is,

$y=-5\cos (\frac{\pi}{2}(x-3))+6$

The graph can be drawn as,

The period will be distance between two consequetive maximas,

$\text{Period}=1-(-3)=4$

Thus, period is correct.

The amplitude can be determined as,

$\begin{gathered} Amplitude=\frac{\max -\min }{2} \\ =\frac{11-1}{2} \\ =5 \end{gathered}$

Thus, amplitue is incorrect.

The range is,

$y\in\lbrack1,11\rbrack$

Thus, the range is correct.

The midline is,

$\begin{gathered} \text{midline}=\frac{\max +\min }{2} \\ =\frac{1+11}{2} \\ =6 \end{gathered}$

Thus, the midline is correct.

Thus, option (b) is the solution.

5 0

1 year ago

Austin is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance

ElenaW [278]

The question requires that we have to state the hypothesis:

null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.

<h3>A. How to state the hypothesis</h3>

H0: u1 < u2

H1: u1 > u2

The one tail test statistic is what is to be used here

<h3>B. standard error </h3>

$\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }$

= 1.49

The df = 17 + 15 - 2

= 30

test statistic = 18.9 - 17.4 / 1.49

= 1.007

We have the critical value on excel as T.INV(0.9,30)

= 1.310

E. At 0.1, we can conclude that t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.

Read more on statistics here brainly.com/question/7597734

#SPJ1

4 0

2 years ago

30 points math question HELP PLEASE! will give brainliest!

Zepler [3.9K]

Answer:

F'=12.1243557 N

Step-by-step explanation:

Let the horizontal component of force he is pulling with be F' Newtons and the force applied be F Newtons.

$\therefore \cos \theta = \frac{Horizontal \: Force}{Force \: applied}$