What should Equation B be multiplied by in order to eliminate the y variable in the system?

a triangle has sides 8cm and 5cm and an angle of 90 degree between them.calculate the smallest angle of the triangle

kakasveta [241]

Answer:

The smallest angle is 32 degrees

Step-by-step explanation:

The given parameters show that the triangle is a right angled triangle;

Let the two other angles be represented by x and y;

Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;

Scenario 1 (Calculating x)

Let opposite = 5 cm

Let adjacent = 8 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

$Tan\ x = \frac{Opposite}{Adjacent}$

$Tan\ x = \frac{5}{8}$

$Tan\ x = 0.625$

Take arctan of both sides

$x = tan^{-1}0.625$

$x = 32.0053832081$

$x = 32$ (Approximated)

Scenario 2 (Calculating y)

Let opposite = 8 cm

Let adjacent = 5 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

$Tan\ y = \frac{Opposite}{Adjacent}$

$Tan\ y = \frac{8}{5}$

$Tan\ y = 1.6$

Take arctan of both sides

$y = tan^{-1}1.6$

$y = 57.9946167919$

$y = 58$ (Approximated)

<em>By comparing the angles, the smallest angle is 32 degrees</em>

6 0

3 years ago

ℜ 0, 180 is the same rotation as _____.

tatiyna

Answer:

the answer is 0,-180

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

If a sprinkler waters 1 over 8 of a lawn in 1 over 4 hour, how much time will it take to water the entire lawn? (1 point)

gayaneshka [121]

It would take 2 hours. To complete the whole lawn you would need:
$\frac{8}{8}$
To make a whole, so to get that we multiply:
$8 \times \frac{1}{8} = \frac{8}{8}$
So we use the same number required for the whole lawn, and multiply it times the hours
$\frac{1}{4} \times 8 = 2$

7 0

4 years ago

Read 2 more answers

The Martinez family ate at a restaurant. The cost of the meal was $34.50. The sales tax was 6% of the cost of the meal. They lef

White raven [17]

1. observe problem

The Full price is:

The Subtotal + the Subtotal*tax

so,

34.50+34.50*0.06=

36.57

The Full price plus tip is

Full price + Full price * tip percentage

so,

36.57+36.57*0.15

Which is

$42.0555

Rounded to is

$42.06

5 0

2 years ago

What is the following numbers and what is the patterns and explain how you got the answer6,500,000 65,000 6.5?

LuckyWell [14K]

The numbers have been divided by 1,000 all the time.

You can find the answer simply by analyzing and testing, and finding similarities and relationships between numbers.

Hope it helped,

BioTeacher101

7 0

3 years ago