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slega [8]
3 years ago
15

Suppose a triangle has two sides of length 2 and 3 and that angle between these two sides is 60 degrees. What is the length of t

he third side
Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer:

Apply cosine rule:

c²=b²+a²-2ba cosC

C= pi/3 = 180/3 = 60 degrees

cosine 60 deg = 0.5

c²=2²+3²-[2×2×3×0.5]

c²=7

c=√7

c=2.645 ;length of third side of angle

Step-by-step explanation:

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Ivenika [448]

Answer:

  6 bags

Step-by-step explanation:

The greatest common factor of 6·5 = 30 and 6·9 = 54 is 6. Judith can make 6 bags of trail mix, each with 5 Tbsp of raisins and 9 Tbsp of peanuts.

7 0
4 years ago
R is the midpoint of AM. If RA = x2 - 16x and MR = 80, find x.
sergij07 [2.7K]

Answer:

x = - 4 or x = 20

Step-by-step explanation:

Given R is the midpoint of AM, then

RA = MR , substitute values

x² - 16x = 80 ( subtract 80 from both sides )

x² - 16x - 80 = 0 ← in standard form

(x - 20)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 20 = 0 ⇒ x = 20

x + 4 = 0 ⇒ x = - 4

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4 years ago
Help me and hurry please
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7 0
3 years ago
How many have sprinkles?
solmaris [256]

Answer:

20

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Step-by-step explanation:

7 0
3 years ago
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The equation of the line A is 3x+2y=10.line B is parallel to line A and passes through the points (4,6).find the equation of the
IRINA_888 [86]

Answer: y=-\frac{3}{2}x+12

Step-by-step explanation:

To find the equation of line B, we need to find the slope first, then the y-intercept. We first want to convert line A into slope-intercept form, so we can find the slope.

3x+2y=10            [subtract both sides by 3x]

2y=10-3x            [divide both sides by 2]

y=5-\frac{3}{2}x

With the slope-intercept form of line A, we can see that the slope is -\frac{3}{2}. We take the slope and the given point (4,6) to find the y-intercept of line B.

y=-\frac{3}{2}x+b            [plug in (4,6)]

6=-\frac{3}{2}(4)+b         [multiply]

6=-6+b              [add both sides by 6]

b=12

With the y-intercept, we know the equation for line B is y=-\frac{3}{2}x+12.

4 0
3 years ago
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