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2 years ago

Solve the following problems: Given: ∆AFD, m ∠F = 90° AD = 14, m ∠D = 30° Find: Area of ∆AFD

Mathematics

1 answer:

ch4aika [34]2 years ago

4 0

We have the triangle 30° - 60° - 90°.

The sides are in proportion: 2 : √3 : 1

(look at the picture).

$2a=14$ <em>divide both sides by 2</em>

$a=7$

$a\sqrt3=7\sqrt3$

The area of a trinagle AFD:

$A_{\Delta}=\dfrac{1}{2}(7)(7\sqrt3)=\boxed{\dfrac{49\sqrt3}{2}}$

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To test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and de

Gnom [1K]

Answer:

d). 14 and 240

Step-by-step explanation:

According to the Question,

Given that, The regression model involving 14 independent variables and 255 observations

We need to find out the numerator and denominator freedom degrees ,

k = 14 regression variable

= n - k - 1

= 255 - 14 - 1

= 240 residuals

df=14,240

Now The degree of freedom for F-critical is

F_{k,n-k-1}=F_{14,240}

So, The df of the numerator is 14 and df of the denominator is 240

7 0

2 years ago

The cost for Dana and Courtney's lunch is $24. If they want to leave a

sergij07 [2.7K]

<h3>Total cost of their lunch, including the tip is $ 27.6</h3>

<em><u>Solution:</u></em>

The cost for Dana and Courtney's lunch is $24

They want to leave a 15% tip

To find: total cost of their lunch, including the tip

<em><u>Find the tip amount</u></em>

Tip amount = 15 % of 24

$Tip\ amount = \frac{15}{100} \times 24\\\\Tip\ amount = 0.15 \times 24\\\\Tip\ amount = 3.6$

<em><u>what is the total cost of their lunch, including the tip?</u></em>

Total cost = cost of lunch + tip amount

Total cost = 24 + 3.6

Total cost = 27.6

Thus total cost of their lunch, including the tip is $ 27.6

7 0

3 years ago

Please help due tomorrow

icang [17]

Answer:

Here's What you do:

Draw a line that comes straight through the middle
It has to create 4 - 90° angles (use a protractor to measure)

There's a picture attached on how a perpendicular lines should look like.

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0

2 years ago

A local mattress manufacturer wants to know if its manufacturing process is in or out of control and has hired you, a statistics

balandron [24]

Answer:

a. 95.4

b. UCL = 96.07

LCL = 94.73

c. Process is in control

Step-by-step explanation:

a. The computation of estimate mean is shown below:-

$Estimate\ mean = \frac{\Sigma X}{N} \\\\ = \frac{1908.000}{20}$

= 95.4

b. The computation of Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process is shown below:-

$UCL = Mean + \frac{3\times \sigma }{\sqrt{Sample\ size} }$

$UCL = 95.4 + \frac{3\times (0.5)}{\sqrt{0.5} }$

= 95.4 + 0.67082

= 96.07

$UCL = Mean - \frac{3\times \sigma }{\sqrt{Sample\ size} }$

$UCL = 95.4 - \frac{3\times (0.5)}{\sqrt{0.5} }$

= 95.4 - 0.67082

= 94.73

c. The explanation is shown below:-

From the above calculation we can see that the sample lies between LCL AND UCL that is (94.73 ,96.07) ,

The Process is in control

7 0

2 years ago

Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a

lutik1710 [3]

The number of classes Anna can take so the total cost for the month will be the same is 5.

The monthly cost would be $37.50.

<h3>When would the total cost be the same?</h3>

When the monthly cost is equal, both equations would be equal: 7.5x = 5.5x + 10

In order to determine the value of x, take the following steps:

Combine similar terms: 7.5x - 5.5x = 10
Add similar terms: 2x = 10
Divide both sides by 2 : 10 /2 = 5

Monthly cost when the cost is the same: 7.5 x 5 = $37.50

To learn more about cost, please check: brainly.com/question/25711114

#SPJ1

7 0

1 year ago