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balandron [24]
3 years ago
13

WILL MARK BRAINLIEST!!!!!!MUST BE CORRECT!

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
7 0
Hi there! The answer is 9 square units

To find the area of a triangle we use the following formula:
Area = 0.5 * base * height.

The base of this triangle:
AC = 6 

The height of this triangle:
BD = 3

Filling in this formula gives us: 
Area = 0.5 * 3 * 6 = 9

Therefore, the answer is 9 square units
Gala2k [10]3 years ago
5 0
D = √(x₂ - x₁)² +  (y₂ - y₁)²                Distance Formula 
d AD = √(2+2)² + (1-1)²
d AD = √4² + 0²
d AD = √16 + 0 
d AD = √16 
d AD = 4

Distance of segment AD: 4 


 d DC = √(4-2)² + (1-1)²
 d DC = √(2)² + (0)²
 d DC = √4 + 0
 d DC = 2 

Distance of segment DC: 2 

From this information, we can draw the conclusion that segment AC must equal 6 units using the segment addition postulate. 


Now, we need to find the height of the altitude. We don't even need to use the distance formula to figure out that the height is 3 units. I just wanted to incorporate algebra into my answer for fun! I love algebra.

From here, use the formula for the area of a triangle.

A = 1/2(b)(h)
A = 1/2(6)(3)
A = 9 units

The area of this triangle is 9 units. Hope this helps! :D



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Answer:

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Step-by-step explanation:

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Hope this helps!

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Intruduction to a scientific notation with negative exponenents.
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10 to the negative sixth equals 1/60, and then times 4 equals 4/60 or 1/15
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3 years ago
A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quar
kotykmax [81]

Answer:

a

The decision rule  is  

Reject the null hypothesis

  The conclusion is  

There is sufficient evidence to show that there is a difference between the performances of these two models

b

The  95% confidence interval is  0.224   <  \mu_1 - \mu_2  < 2.776

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  36

    The first sample mean is  \= x_1   =  11.4

    The first standard deviation is  s_1 =  2.5

    The second sample mean is   \= x_2 =  9.9

     The second standard deviation is  s_2 =  3.0

      The level of significance is  \alpha  =  0.05

The null hypothesis is  H_o  :  \mu_1 - \mu_2 = 0

The alternative hypothesis is H_a :  \mu_1 - \mu_2 \ne 0

Generally the test statistics is mathematically represented as

      z =  \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n}  } }

=>    z =  \frac{ ( 11.4  - 9.9) - 0  }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 }  } }

=>     z = 2.3

From the z table  the area under the normal curve to the left corresponding to  2.3 is  

       P( Z >  2.3 ) =  0.010724

Generally the p-value is mathematically represented as

      p-value =  2 * P( Z >  2.3 )

=>    p-value  =  2 * 0.010724

=>    p-value  =  0.02

From the value obtained we see that  p-value  <  \alpha hence  

The decision rule  is  

Reject the null hypothesis

  The conclusion is  

There is sufficient evidence to show that there is a difference between the performances of these two models

Considering question b

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}}

 => E = 1.96  *    \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}}

  => E = 1.276

Generally 95% confidence interval is mathematically represented as  

      ( \= x_1 - \= x_2) -E <  \mu_1 - \mu_2  < ( \= x_1 - \= x_2) + E

=>  ( 11.4 - 9.9 ) -1.276  <  \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276

=>  0.224   <  \mu_1 - \mu_2  < 2.776

4 0
3 years ago
Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = ___
tatiyna

Answer:

Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = 6

Step-by-step explanation:

Sorry but its very simple question you need to try to do it by yourself

3 0
3 years ago
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Fynjy0 [20]

Answer:

brainly.com/question/17766992

Step-by-step explanation:

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