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Nataliya [291]
3 years ago
15

Law of cosines: a2 = b2 + c2 – 2bccos(A) Find the measure of Q, the smallest angle in a triangle whose sides have lengths 4, 5,

and 6. Round the measure to the nearest whole degree.
Mathematics
2 answers:
Ierofanga [76]3 years ago
4 0
We are tasked to solve for the smallest angle using the law of cosines given that the three sides of the triangle are 4,5 and 6.
a=4 , b=5, c=6
Angle 1:
cosA = 5² + 6² - 4² / 2*5*6
A=41.41°

Angle 2:
cos B = 4²+6² -5² /2*4*6
B= 55.77°

Angle C:
C = 180° - 41.41° - 55.77°
C = 82.82°

The smallest angle is A which is equal to 41.41°.
Nataly_w [17]3 years ago
3 0

Answer:

41

Step-by-step explanation:

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Answer:

The Length of third side is 52 units.

Step-by-step explanation:

Given:

Length of First side = 48

Length of second side = 20

Also given the angle between them is 90°.

Hence we can say figure shown is a right angled triangle.

For finding the third side we can use Pythagoras theorem which states that;

"If a triangle is right angled then, the Square of the hypotenuse is equal to sum of the square of the other two sides."

Third \ side ^2=First \ side^2+Second \ side^2

Hence substituting the values we get;

Third\ side^2= 48^2+20^2 = 2304+400 =2704

Now taking Square root on both side we get;

\sqrt{Third \ side^2} = \sqrt{2704}\\ Third \ side = 52 \ units

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3 0
3 years ago
Find the equation of the line with a slope of 3/4 and passes through (4-2)
Ira Lisetskai [31]

Answer:

y = 3/4x - 5

Step-by-step explanation:

An equation of a line can be written in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Let's plug in what we know.

The slope is 3/4.

y = 3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 3/4(4) + b

To find b, multiply the slope and the input of x(4)

-2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-5 = b

Plug this into your standard equation.

y = 3/4x - 5

This is your equation. It has a slope of 3/4, and passes through (4, -2)

Hope this helps!

5 0
2 years ago
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