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olga55 [171]
3 years ago
11

Mike is planning a vacation. He has narrowed down his choices to three types of vacations: coastal, rural, and urban. He uses th

e spinner shown above, which is evenly divided into 3 sections, to randomly decide which type of vacation to plan. If he spins the spinner 180 times, predict the number of times the spinner would land on the coastal section. The spinner would land on the coastal section roughly 60 times, but probably not exactly 60 times. The spinner would land on the coastal section roughly 24 times, but probably not exactly 24 times. The spinner would land on the coastal section roughly 30 times.
Mathematics
2 answers:
Lelu [443]3 years ago
8 0
If the spinner is divided into 3 equal parts, then it would land on the coastal section roughly 60 times, but not exactly 60 times , because 180/3 = 60
And there is a 33.3% chance Of it landing on coastal every third spin
saw5 [17]3 years ago
3 0
If the spinner is divided into 3 equal parts, then it would land on the coastal section roughly 60 times, but not exactly 60 times. 
Hope this helps.
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tankabanditka [31]

Answer:

x=3

Step-by-step explanation:

y= -2

4x-3y=18

4x-3(-2)=18

4x-(-6)=18

4x+6=18

4x+6-6=18-6

4x=12

\frac{4x}{4} =  \frac{12}{4}

x=3

If its helpful ❤❤❤

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6 0
3 years ago
3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie
allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x  = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 53^\circ=\frac{150-x}{h}

\displaystyle \tan 48^\circ=\frac{x}{h}

From the last equation:

x=h.\tan 48^\circ

Substituting into the first equation:

\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}

Operating on the right side:

\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ

Rearranging:

\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}

Solving for h:

\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0
3 years ago
What’s the answer for this?
Yuliya22 [10]

Answer:

1.98

Step-by-step explanation:

sin(26) = EF/4.5 -->

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1.98 = EF

5 0
3 years ago
How many numbers between <br>2<br> and <br>500<br> are divisible by <br>3<br>?​
beks73 [17]

Answer:

Your answer is 226 numbers.

6 0
3 years ago
Read 2 more answers
What is the value of x
Evgen [1.6K]

Answer:

12

Step-by-step explanation:

Given

with reference angle 45°

hypotenuse (h) = x

perpendicular (p) = 6√2

Now

with reference angle 45°

sin 45° = p / h

1 / √2 = 6√2 / x

Cross multiply ✖

6√2 * √2 = x

x = 6 * 2

x = 12

6 0
3 years ago
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