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Umnica [9.8K]
3 years ago
7

In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

and round your answers to the nearest tenth. ∠A = 82.2°,∠C = 62.8°, c = 17.1 ∠A = 82.2°, ∠C = 62.8°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 17.1
Mathematics
1 answer:
Alexxx [7]3 years ago
3 0

Answer:

(A)∠A = 82.2°,∠C = 62.8°, c = 17.1

Step-by-step explanation:

In Triangle ABC

∠B=35°

a=19

b=11

Using Law of SInes

\dfrac{a}{\sin A} =\dfrac{b}{\sin B} \\\dfrac{19}{\sin A} =\dfrac{11}{\sin 35^\circ} \\11*\sin A=19*\sin 35^\circ\\\sin A=(19*\sin 35^\circ) \div 11\\A= \arcsin [(19*\sin 35^\circ) \div 11]\\A=82.2^\circ

Now:

\angle A+\angle B+\angle C=180^\circ\\35^\circ+82.2^\circ+\angle C=180^\circ\\\angle C=180^\circ-[35^\circ+82.2^\circ]\\\angle C=62.8^\circ

Using Law of Sines

\dfrac{c}{\sin C} =\dfrac{a}{\sin A} \\\dfrac{c}{\sin 62.8^\circ} =\dfrac{19}{\sin 82.2^\circ}\\c=\dfrac{19}{\sin 82.2^\circ}*\sin 62.8^\circ\\\\c=17.1

Therefore:

∠A = 82.2°,∠C = 62.8°, c = 17.1

The correct option is A.

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Answer:

D) Agile methodology

Step-by-step explanation:

Agile methodology can be described as a technique employed to to manage a project by a team whereby the project is divided into several stages and thereby necessitate the need for a constant collaboration among the stakeholders as well as continuous improvement and iteration at each of the stages of the project.

The description of the nature of the utilization of the end product and the definition of problem to be solved by the clients indicates the commencement of the agile methodology. The aim is to ensure the expectations of the clients are made clear to the project team.

After the commencement of the work, an incremental development process of planning, executing, and evaluating is constantly repeated by the teams with little emphasis on team coding and more emphasis one limiting the scope of the project so that the final deliverable of the project is altered with the sole aim of meeting the requirements of the customer better.

Therefore, the correct option is D, that is the <u>agile methodology</u> is an incremental development process that has less emphasis on team coding and more emphasis on limiting a project's scope. ​

6 0
3 years ago
Find the distance between points J and Q.
GarryVolchara [31]

Answer:

The answer is 20

Step-by-step explanation:

From the graph it shows that J is located at point 15, and Q is located at point 35

If we move 20 units from point J to point Q, we land at point Q, making it the distance they are from one another.

8 0
3 years ago
Jeanine baker makes floral arrangements. She has 12 different cut flowers and plans to use 5 of them. How many different selecti
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Assuming that the order of selection is not important, this is a question of number of ways. In other words, the combination should be computed. That is,

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Therefore, there are 792 ways in which 5 flowers can be selected from the available 12 flowers.
4 0
3 years ago
A business rents bicycles and in-line skates. Bike rentals cost $25 a day and skates cost $20 a day. The business had 20 rentals
Lena [83]
25x+20y=455
x+y=20


20x+20y=400
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Solved it as well, sorry if I wasn't supposed to

6 0
3 years ago
The difference between 12 and ten times a number is -28
aev [14]

Answer:

<h2>4</h2>

Step-by-step explanation:

n-\text{the number}\\\\12-10n=-28\qquad|\text{subtract 12 from both sides}\\\\12-12-10n=-28-12\\\\-10n=-40\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-10n}{-10}=\dfrac{-40}{-10}\\\\\boxed{n=4}

8 0
2 years ago
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