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Romashka-Z-Leto [24]
3 years ago
5

What is the value of x? A 160° 95" A. 359 B. 60° C. 155° D. 250

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
8 0

Answer:

A. 35

Step-by-step explanation:

180-95= 85

85+60=145

180-145=35

Svetradugi [14.3K]3 years ago
4 0

Answer:

The value of x is 25°.

Here is your solutions too.

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Lucy has to run two errands. She starts from home and travels 3 miles south to the post office. From the post office, she travel
Gwar [14]

Answer:

A. It is at the gas station

Step-by-step explanation:

3 0
3 years ago
A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots.
andriy [413]

Answer:

$ 1.96

Step-by-step explanation:

Number of spots with outcome of $1 = 9

Number of spots with outcome of $2 = 18

Number of spots with outcome of $10 = 1

Total number of spots = 28

Probability that ball will land on $1 = \frac{9}{28}

Probability that ball will land on $2 = \frac{18}{28}

Probability that ball will land on $10 = \frac{1}{28}

The amount that player should expect to win on average in equal to expected value of the game. Expected value is calculated as the summation of product of probabilities with their respective outcomes.

i.e. for this case:

Expected Value will be:

(1 \times \frac{9}{28})+(2 \times \frac{18}{28})+(10 \times \frac{1}{28})\\\\ =1.96

This means, on average the player should expect to win $ 1.96

7 0
3 years ago
The probability of an event happening is 5/9 what are the odds in favor of the event happening
rosijanka [135]

Answer:

5/9

Step-by-step explanation:

it's literally telling you the answer and asking you

If they want the odds in favor then it's the odds of the event happening

7 0
2 years ago
1/8 of a number is 10. What is the number?
OLEGan [10]
For this question you can say:
1/8x = 10 
so x is the answer and if u want to find the x you can multiply both sides of the equation by 8 so you will have:
x = 80 and that's the number 
if u want to find 1/7 of 21 you should just divide 21 by 7 so you will have 3 and for the last one is same also, so the answer is 5 :)))
i hope this is helpful
have a nice day 
6 0
3 years ago
An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance around the track is 400 meter
dybincka [34]

Answer:

width of rectangle = 2R = (200/π) = 400/π meters

length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters

Step-by-step explanation:

The distance around the track (400 m) has two parts:  one is the circumference of the circle and the other is twice the length of the rectangle.

Let L represent the length of the rectangle, and R the radius of one of the circular ends.  Then the length of the track (the distance around it) is:

Total = circumference of the circle + twice the length of the rectangle, or

         =                    2πR                    + 2L    = 400 (meters)  

This equation is a 'constraint.'  It simplifies to πR + L = 400.  This equation can be solved for R if we wish to find L first, or for L if we wish to find R first.  Solving for L, we get L = 400 - πR.

We wish to maximize the area of the rectangular region.  That area is represented by A = L·W, which is equivalent here to A = L·2R = 2RL.  We are to maximize this area by finding the correct R and L values.

We have already solved the constraint equation for L:  L = 400 - πR.  We can substitute this 400 - πR for L in

the area formula given above:    A = L·2R = 2RL = 2R)(400 - πR).  This product has the form of a quadratic:  A = 800R - 2πR².  Because the coefficient of R² is negative, the graph of this parabola opens down.  We need to find the vertex of this parabola to obtain the value of R that maximizes the area of the rectangle:        

                                                                   -b ± √(b² - 4ac)

Using the quadratic formula, we get R = ------------------------

                                                                            2a

                                                   -800 ± √(6400 - 4(0))           -1600

or, in this particular case, R = ------------------------------------- = ---------------

                                                        2(-2π)

            -800

or R = ----------- = 200/π

            -4π

and so L = 400 - πR (see work done above)

These are the dimensions that result in max area of the rectangle:

width of rectangle = 2R = (200/π) = 400/π meters

length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters

5 0
2 years ago
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