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Sunny_sXe [5.5K]
3 years ago
11

Graph and find the area of the figure with the vertices (-3, 0), (1,4), (2, 0)​

Mathematics
1 answer:
ser-zykov [4K]3 years ago
3 0

Answer:

10

Step-by-step explanation:

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A ship leaves port at 1 pm traveling north at the speed of 30 miles/hour .at 3 pm the ship adjusts its course20° eastward. Sketc
Tatiana [17]

The ship is 88.8 miles far from the port at 4 pm.

Given,

The displacement from 1 to 3 in the afternoon.

D1 = 30 miles/hr × 2 hr

     = 60 miles to the north

The displacement from 3 till 4 in the afternoon.The ship changes its course 20 degrees eastward at 3 o'clock.

Therefore, D2 = 30 miles/hr × 1 hr

                       = 30 miles to the 20° north eastward

By combining two vectors, the resulting displacement:

D = √((D1 ₊ D2 × cos(20°))² ₊ (D2 × sin(20°))²

D = √((60 ₊ 30 × cos (20°))² ₊ (30 × sin(20°))²

D = 88.8 miles

Hence the ship is 88.8 miles far away from the port at 4 pm.

Learn more about "Law of sines and cosines" here-

brainly.com/question/13098194

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6 0
1 year ago
Write one way you can read the time. Like 3:55
Ratling [72]

first is 3:56

And is three fivety six

7 0
2 years ago
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A certain triangle has two 45 degree angles. what type of triangle is it?
babymother [125]

Answer:

The answer is B. Acute isosceles

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3 years ago
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Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sampl
kompoz [17]

Complete Question

Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sample of 15 students, the professors find the mean number of headaches is 19 and the standard deviation is 1.7. Assume the population distribution of number of headaches is normal.the correct conclusion at \alpha =0.001 is?

Answer:

There is no sufficient evidence to support the professor believe

Step-by-step explanation:

From the question we are told that

     The population mean is  \mu =  18

     The sample size is  n  =  15

      The sample mean is  \=  x  =  19

      The standard deviation is  \sigma =  1.7

      The level of significance is  \alpha  =  0.001

The null hypothesis is  H_o:  \mu = 18

The  alternative hypothesis is  H_a :  \mu > 18

 The critical value of the level of significance from the normal distribution table is    

         Z_{\alpha } =  3.290527

The test hypothesis is mathematically represented as

           t =  \frac{\= x  -  \mu }{ \frac{\sigma}{ \sqrt{n} } }

substituting values  

         t =  \frac{ 19  - 18}{ \frac{1.7}{ \sqrt{15} } }

         t =  2.28

Looking at the value of  t and  Z_{\alpha } we can see that t <  Z_{\alpha } so we fail to reject the null hypothesis.

This mean that there is no sufficient evidence to support the professor believe

     

       

3 0
3 years ago
What are the properties to the following
masya89 [10]

Answer:

1. Associative Property of Multiplication

2. Multiplicative Identity Property

3. Multiplicative Inverse Property

4.Additive Identity Property

5. Associative Property of Addition

6. Additive Inverse Property

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3 years ago
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