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Makovka662 [10]

3 years ago

15

Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?

1 answer:

Yakvenalex [24]3 years ago

7 0

Answer:

2005400sblackwell

2005400sblackwell

03/27/2020

Mathematics

Middle School

Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?

Answer:

32%

Step-by-step explanation:

I don’t know. I’m on a test got the answer wrong and it showed me the right answer.

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A car travels 60 miles due north then makes a turn due west. It travels 72 miles west. How far is the car from its starting poin

Harlamova29_29 [7]

Answer:

93.7 miles

Step-by-step explanation:

This problem can be represented as a right angled triangle. The distance between the final point and the starting point is the hypotenuse.

We need to find the hypotenuse. We can use Pythagoras rule:

$hyp^2 = opp^2 + adj^2$

where opp = opposite side to the angle considered

adj = adjacent side to the angle considered

This implies that:

$x^2 = 60^2 + 72^2\\\\x^2 = 8784\\\\x = \sqrt{8784} \\\\x = 93.7 miles$

The car is 93.7 miles far from its starting point.

6 0

3 years ago

Use the given information to find the exact value of the trigonometric function

eimsori [14]

$\begin{gathered} \csc \theta=-\frac{6}{5} \\ \tan \theta>0 \\ \cos \frac{\theta}{2}=\text{?} \end{gathered}$

Half Angle Formula

$\cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}}$ $\tan \theta>0\text{ and csc}\theta\text{ is negative in the third quadrant}$ $\begin{gathered} \csc \theta=-\frac{6}{5}=\frac{r}{y} \\ x^2+y^2=r^2 \\ x=\pm\sqrt[\square]{r^2-y^2} \\ x=\pm\sqrt[\square]{6^2-(-5)^2} \\ x=\pm\sqrt[\square]{36-25} \\ x=\pm\sqrt[\square]{11} \\ \text{x is negative since the angle is on the 3rd quadrant} \end{gathered}$ $\begin{gathered} \cos \theta=\frac{x}{r}=\frac{-\sqrt[\square]{11}}{6} \\ \cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}} \\ \cos \frac{\theta}{2}is\text{ also negative in the 3rd quadrant} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{1+\frac{-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{\frac{6-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}} \\ \\ \end{gathered}$

Answer:

$\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}$

Checking:

$\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{ (3rd quadrant)} \end{gathered}$

Also,

$\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}$

The answer is none of the choices

7 0

1 year ago

How can I solve -4x+y=29

vlada-n [284]

Answer:

Step-by-step explanation:

What variable are you solving for?

-4x+y=29

y=29-(-4x)

y=29+4x

y=4x+29

----------------

-4x=29-y

-4x=-y+29

x=1/4y+29/-4

y=1/4y-29/4

7 0

3 years ago

Read 2 more answers

Drag each tile to the correct box. Not all tiles will be used.

Alina [70]

Answer:

3rd box, last box, 2nd box, 5th box in that order

Step-by-step explanation:

PEMDAS

7 0

3 years ago

Read 2 more answers

List all the factors of 45 from least to greatest. Enter your answer below using a comma to separate each number

Alik [6]

Answer:

So, the factors of 45 are 1, 3, 5, 9, 15, and 45.

Step-by-step explanation:

7 0

2 years ago