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riadik2000 [5.3K]
3 years ago
7

Applying the Laws of Sines and Cosines

Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0
Essentially, you would take the formula for the laws of sines and cosines: a^2=b^2+c^2-2bc(Cos(theta)). a is the unknown side you are solving for and theta is the opposite angle to a. Since the angle opposite to R is supplementary to the 50 degree angle, 180-50=130. b could be assigned to either of the given sides; the same goes for c (e.g. b=40 and c=38). Thus, the question should be straightforward in plugging in quantities and solving for the resultant force. 
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Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ​(mu​, ​p, sigma​) for the i
ValentinkaMS [17]

Answer:

H_o:\mu = 48\\H_a:\mu\neq48

Step-by-step explanation:

Given : . The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean​ temperature, 48°​F, ideal for a certain type of German pilsner.

To Find :  The owner of the brewery does not agree with the refrigerator​ manufacturer, and claims he can prove that the true mean temperature is incorrect.

Solution:

We are given that refrigerators that are supposed to maintain a true mean​ temperature, 48°​F.

Claim : The true mean temperature is incorrect.

So, null hypothesis and alternate hypothesis will be :

H_o:\mu = 48\\H_a:\mu\neq48

So, Option D is true .

3 0
4 years ago
Is 6 pints equal to less than or more than 60 fluid ounces
Vinil7 [7]
The answer is 6 pints equal to more than 60 fluid ounces

1 pint = 16 ounces.
6 pints = x

Use the proportion:
1 pint : 16 ounces = 6 pints : x
x = 16 ounces * 6 pints : 1 pint
x = 96 ounces

6 pints = 96 ounces > 60 ounces
Therefore, 6<span> pints equal to more than 60 fluid ounces</span>
7 0
4 years ago
Javier has a model of a cone with a radius of 3 inches and a height of 10 inches. Javier increased his model’s volume by doublin
statuscvo [17]

Answer:

240 \pi\ in^{3}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z------> the scale factor

x-----> the volume of the larger cone

y-----> the volume of the original cone

z^{3}=\frac{x}{y}

In this problem we have

z=2 -----> scale factor

substitute

2^{3}=\frac{x}{y}

8=\frac{x}{y}

x=8y

That means-----> The volume of the larger cone is  8 times the volume of the original cone

Find the volume of the original cone

V=\frac{1}{3}\pi r^{2} h

we have

r=3\ in

h=10\ in

substitute

V=\frac{1}{3}\pi (3^{2})(10)=30 \pi\ in^{3}

therefore

The volume of the larger cone is equal to

8*30 \pi\ in^{3}=240 \pi\ in^{3}

3 0
3 years ago
Read 2 more answers
An eagle can fly at a speed of 50 mph and a starling can fly at 78 mph. How far will the starling fly in the time it takes the e
Rashid [163]
The starling would fly 195 miles

1.
50*x=125
x=2.5

2. 
2.5 * 78 = 195 miles
6 0
3 years ago
Read 2 more answers
Helps pls I will give the branliest
zhuklara [117]

Answer:

$0.45

Step-by-step explanation:

1 pint = 2 cups

so 2 pints = 4 cups, $1.80

so 1 cup is 1.80/4 = $0.45

3 0
3 years ago
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