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mezya [45]
3 years ago
10

Please explain how to begin to solve this​

Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer:

6.00

Step-by-step explanation:

Use Pythagorean theorem:

c² = a² + b²

9.22² = a² + 7²

85.0 = a² + 49

a² = 36.0

a = 6.00

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An amusement park opens daily at 9:30 a.m. This morning the parking lot for the amusement park opened at 8:00 a.m. At 9:00 a.m.,
Eddi Din [679]

Answer:

An exponential function

Step-by-step explanation:

So let's suppose that at 9:00 am there were 132 cars. We'll call this P_0

P_{0}=132

On the next half an hour, let's say at 9:30, the number of cars trippled, this is:

P_{1}=132*3=396

the next half an hour, at 10:00 am, the number of cars trippled, this is:

P_{2}=132*3*3=1188

and finaly, at 10:30am, the number of cars trippled again, so:

P_{3}=132*3*3*3=3564

We can now see a pattern there which can be simplified as:

P(n)=P_{0}(3)^{n}

or

P(n)=132(3)^{n}

where:

P_{0}=initial number of cars

n=number of half hours after 9:00 a.m

P_{n}= number of cars after n number of half hours.

That function we found there is an exponential function, which represents an initial amount being multiplied by the same number several times.

4 0
2 years ago
Read 2 more answers
The diagram shows the sector of a circle with the centre O and radius 6cm.
cricket20 [7]

Answer:

Area of the shaded region = 1.92 cm²

Step-by-step explanation:

From the picture attached,

Area of the shaded region = Area of the sector OMN - Area of the triangle OMN

Area of sector OMN = \frac{\theta}{360}(\pi r^{2})

Here, θ = Central angle of the sector

r = radius of the sector

Area of sector OMN = \frac{50}{360}(\pi )(6)^2

                                  = 15.708 square cm

Area of ΔOMN = 2(ΔOPN)

Area of ΔOPN = \frac{1}{2}(OP)(PN)

Area of ΔOMN = OP × PN

In ΔOPN,

sin(25°) = \frac{PN}{ON}

PN = ONsin(25°)

     = 6sin(25°)

     = 2.536 cm²

cos(25°) = \frac{OP}{ON}

OP = ONcos(25°)

OP = 6cos(25°)

OP = 5.438 cm

Area of ΔOMN = 2.536 × 5.438

                         = 13.791 cm²

Area of the shaded region = 15.708 - 13.791 = 1.917 cm²

                                             ≈ 1.92 cm²

3 0
2 years ago
How do you find the area of this figure?
loris [4]

Answer:

seis CM para 10 yd por eso

8 0
2 years ago
What is the value of n - 7 when n = 14
Burka [1]

Answer: 7

Step-by-step explanation:

We substitute n for 14 to get the equation 14-7, which equals 7.

6 0
1 year ago
Mr. Vestas sells electricity from a wind turbine to his local utility. He receives 3¢ per kilowatt hour for the first 500 kilowa
Grace [21]

Answer:

<h2>  2.11¢</h2>

Step-by-step explanation:

We are expected to solve the weighted average price per kilowatt hour.

Step one:

The formula is  

W =∑wX/∑w

W=weighted average  

w=weights applied to x values

X=data values to be averaged

Step two:

given the total killowatt hour is 1800

the 1st = 500 at 3¢

2nd= 1000 at 2¢

3rd = (1800-1000+500) at 1¢ =(1800-1500) at 1¢ = (300) at 1¢

Step two:

Substituting into the expression we have

W =(500*3)+(1000*2)+(300*1)/500+1000+300

W=1500+2000+300/1800

W=3800/1800

W=2.11¢

The average price per kilowatt hour the utility paid to Mr. Vestas last month is 2.11¢

5 0
2 years ago
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