The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.
<h3>What is law of cosine?</h3>
Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.
Then we have
7² + c² – (2 · 7 · c) cos 105° = 10²
c² + 3.62c – 51 = 0
On solving, we have
c = 5.56
Then the angle C will be
10² + 7² – 2 · 7 · 10 · cos C = 5.56²
149 – 140 cos C = 30.91
cos C = 0.8435
C = 32.49°
We know that
∠A + ∠B + ∠C = 180°
105° + ∠B + 32.49° = 180°
∠B = 42.51°
Learn more about law of cosines here:
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If you interpret the question as is, the answer is in the thousands which is not listed. The last part of the question should read “the number of new cases doubled from those newly identified cases from the day prior.” It was poorly phrased lol
Day 1: 5
Day 2: 5+10
Day 3: 15+20
Day 4: 35+40
Day 5: 75+80
Day 6: 155+160
Which is 315 at the end of the 6th day
Answer:
The circumference of a circle with a latitude of 40 degrees is 251.33
Answer: 0.6521
Step-by-step explanation:
According to the Binomial distribution , the provability of getting x successes in n trials is given by :-
, where p=probability of getting success in each trial.
Let x denotes the number of defective products.
here , n=7 and p =0.14
Then, the probability that among 7 randomly selected products, at least one of them is defective= P(X ≥ 1) =1- P(X<1)
= 1- P(X=0)
![=1-(1(1)(0.86)^7\ \[\because ^nC_0=1]](https://tex.z-dn.net/?f=%3D1-%281%281%29%280.86%29%5E7%5C%20%5C%5B%5Cbecause%20%5EnC_0%3D1%5D)
Hence, the probability that among 7 randomly selected products, at least one of them is defective is 0.6521 .
Answer:
23,958 =
20,000
+ 3,000
+ 900
+ 50
+ 8
Step-by-step explanation:
