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Naddik [55]
3 years ago
12

Suppose a triangle has two sides of length 3 and 4 and that the angle between these two sides is 60 degrees . What is the length

of the third side of the triangle
Mathematics
1 answer:
Darya [45]3 years ago
5 0

Answer:

  √13 ≈ 3.6056

Step-by-step explanation:

The Law of Cosines can be used to figure this. If the third side is "c", then it tells you ...

  c² = a² + b² - 2ab·cos(C)

  c² = 3² + 4² -2(3)(4)(cos(60°)) = 9 + 16 - 24(1/2) = 13

  c = √13 ≈ 3.6056

The length of the third side is √13, about 3.6056.

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Leni [432]

Answer:

8.5 units

Step-by-step explanation:

(-1, 1) squared + (7,4) squared = formula

Distance 8.5 is rounded to the nearest 10

7 0
3 years ago
The bases of a trapezoid lie on the lines y=2X +7 and y= 2X -5. Write the equation that contains the midsegment of the trapezoid
ryzh [129]

Given:

The bases of a trapezoid lie on the lines

y=2x+7

y=2x-5

To find:

The equation that contains the midsegment of the trapezoid.

Solution:

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

On comparing y=2x+7 with slope intercept form, we get

m_1=2,b_1=7

On comparing y=2x-5 with slope intercept form, we get

m_2=2,b_2=-5

The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.

m=m_1=m_2=2

The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.

b=\dfrac{b_1+b_2}{2}

b=\dfrac{7-5}{2}

b=\dfrac{2}{2}

b=1

So, the y-intercept of the required line is 1.

Putting m=2 and b=1 in slope intercept form, we get

y=2x+1

Therefore, the equation of line that contains the midsegment of the trapezoid is y=2x+1.

7 0
3 years ago
Solve for d <br><br> -6 - d = 6 - 4d
snow_tiger [21]

Answer:

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Step-by-step explanation:

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- 6 + 3d = 6 ( add 6 to both sides )

3d = 12 ( divide both sides by 3 )

d = 4

7 0
3 years ago
What is the solution for the equation (x-5)^2+3(x-5)+9=0 Use u substitution and the quadratic formula to solve?
Mariulka [41]

Answer:

Here is the answer.

x= 1/2(7+3i√3) and 1/2(7-3i√3)

4 0
4 years ago
Last tuesday a doughnuts store sold 20 bavarian cream, 60 glazed, 15 chocolate
Murljashka [212]

Answer:

Step-by-step explanation:

b:g:c:r = 20:60:15:25 = 4:12:3:5

b:c = 4:3

7 0
3 years ago
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