Consider the non-right triangle below.

Suppose that$m\mathrm{\angle}BCA={70}^{\circ}$ , and that $x=33cm$ and $y=47cm$ What is the degree measure of $\mathrm{\angle}ABC?$

Suppose that

meplasemamiuk
2021-11-22
Answered

Consider the non-right triangle below.

Suppose that$m\mathrm{\angle}BCA={70}^{\circ}$ , and that $x=33cm$ and $y=47cm$ What is the degree measure of $\mathrm{\angle}ABC?$

Suppose that

You can still ask an expert for help

Glenn Cooper

Answered 2021-11-23
Author has **12** answers

Step 1

Using the cosine law,

$AB=\sqrt{A{C}^{2}+B{C}^{2}-(2\cdot AC\cdot BC\mathrm{cos}\mathrm{\angle}BCA)}$

$AB=\sqrt{{47}^{2}+{33}^{2}-(2\cdot 47\cdot 33{\mathrm{cos}70}^{\circ})}$

$AB=\sqrt{2237.05}$

$AB=47.29$

Step 2

Using the cosine law,

$\mathrm{\angle}ABC={\mathrm{cos}}^{-1}\left(\frac{B{C}^{2}+A{B}^{2}-A{C}^{2}}{2\times BC\times AB}\right)$

$\mathrm{\angle}ABC={\mathrm{cos}}^{-1}\left(0.3576\right)$

$\mathrm{\angle}ABC={69.04}^{\circ}$

Using the cosine law,

Step 2

Using the cosine law,

asked 2020-11-26

Are triangles necessarily congruent, is:

1. Each side of one triangle is equal to one of the other triangles

1. Each side of one triangle is equal to one of the other triangles

asked 2022-02-04

Please give me a new answer and not a copied answer.

One of the largest issues in ancient mathematics was accuracy—nobody had calculators that went out ten decimal places, and accuracy generally got worse as the numbers got larger. The famous Eratosthenes experiment, that can be found at famousscientists,org/eratosthenes/, relied on the fact known to Thales and others that a beam of parallels cut by a transverse straight line determines an equal measure for the corresponding angles. Given two similar triangles, one with small measurements that can be accurately determined, and the other with large measurements, but at least one is known with accuracy, can the other two measurements be deduced? Explain and give an example.

The similarity of triangles gives rise to trigonometry.

How could we understand that the right triangles of trigonometry with a hypotenuse of measure 1 represent all possible right triangles? Ultimately, the similarity of triangles is the basis for proportions between sides of two triangles, and these proportions allow for the calculations of which we are speaking here. The similarity of triangles is the foundation of trigonometry.

One of the largest issues in ancient mathematics was accuracy—nobody had calculators that went out ten decimal places, and accuracy generally got worse as the numbers got larger. The famous Eratosthenes experiment, that can be found at famousscientists,org/eratosthenes/, relied on the fact known to Thales and others that a beam of parallels cut by a transverse straight line determines an equal measure for the corresponding angles. Given two similar triangles, one with small measurements that can be accurately determined, and the other with large measurements, but at least one is known with accuracy, can the other two measurements be deduced? Explain and give an example.

The similarity of triangles gives rise to trigonometry.

How could we understand that the right triangles of trigonometry with a hypotenuse of measure 1 represent all possible right triangles? Ultimately, the similarity of triangles is the basis for proportions between sides of two triangles, and these proportions allow for the calculations of which we are speaking here. The similarity of triangles is the foundation of trigonometry.

asked 2020-11-06

What does the combined length of any two sides of a triangle exceed?

asked 2021-11-22

Consider the non-right triangle below

Suppose that$m\mathrm{\angle}ACB={103}^{\circ}$ and $m\mathrm{\angle}BAC={44}^{\circ}$ , and that $y=50.5cm$ . What is the value of x?

Suppose that

asked 2021-11-25

Determine whether or not F is a conservative vector field. If it is, find a function f such that F=del f. F(x,y)=e^xsinyi+ e^xsinyj

asked 2021-08-14

In triangle DEF, side E is 4 cm long and side F is 7 cm long. If the angle between sides E and F is 50 degrees, how long is side D?

asked 2021-08-22

A classmate drew an acute triangle with sides 9 in. and 12 in. What is the greatest possible whole number that can be the length of the longest side of the triangle in inches? Provide evidence.