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erik [133]
2 years ago
7

anonymous 4 years ago The sides of a triangle measure 14.9 centimeters, 23.8 centimeters, and 36.9 centimeters. Find the measure

of the angle with the least measure.
Mathematics
1 answer:
Crank2 years ago
3 0
Using the Law of Cosines
cos (A) = b^2 + c^2 -a^2 / 2bc

cos (A) = (23.8*23.8 + 36.9*36.9 - 14.9*14.9) / (2*23.8*36.9)
cos (A) = <span> <span> <span> 0.9713055954 </span> </span> </span>
Angle = 13.759 Degrees

cos (A) = (36.9*36.9 + 14.9*14.9  -23.8*23.8 ) / (2*36.9*23.8)
cos (A) = <span> <span><span>0.9250286463 </span> </span> </span>
Angle = 22.327 Degrees

cos (A) = (14.9*14.9  + 23.8*23.8 -36.9*36.9) / (2*14.9*23.8)
cos (A) = <span> <span> <span> -0.808132649
Angle = 143.91 Degrees
</span> </span> </span>
So, the smallest angle is 13.759 Degrees


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To get the value of DK we use proportionality:
AK/EK=BK/KD
thus plugging the values we get:
14/17=7/KD
getting the reciprocal of getting both sides we have:

17/14=KD/7
thus
KD=17/14×7
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Please explain the how you got the answers thanks asap
stich3 [128]

Answer:

a) 90 stamps

b) 108 stamps

c) 333 stamps

Step-by-step explanation:

Whenever you have ratios, just treat them like you would a fraction! For example, a ratio of 1:2 can also look like 1/2!

In this context, you have a ratio of 1:1.5 that represents the ratio of Canadian stamps to stamps from the rest of the world. You can set up two fractions and set them equal to each other in order to solve for the unknown number of Canadian stamps. 1/1.5 is representative of Canada/rest of world. So is x/135, because you are solving for the actual number of Canadian stamps and you already know how many stamps you have from the rest of the world. Set 1/1.5 equal to x/135, and solve for x by cross multiplying. You'll end up with 90.

Solve using the same method for the US! This will look like 1.2/1.5 = x/135. Solve for x, and get 108!

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3 years ago
From a population of 200,000,000 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is
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Answer:

The standard error of the mean = 2

Step-by-step explanation:

Given that:

The standard deviation σ = 14

The sample size n = 49

The sample mean \overline x = 56

The formula for calculating the standard error can be expressed as:

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S.E = \dfrac{14}{\sqrt{49}}

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Therefore, the standard error of the mean = 2

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2 years ago
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