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Gemiola [76]
3 years ago
12

19. the first side of a triangle measures 4in less than the second side, the third side is 3 in more than the first side, and th

e perimeter is 15 in. how long is the third side
please help it’s late and i already started the test and my head hurts

Mathematics
1 answer:
Harman [31]3 years ago
5 0

Answer:

the third side is 5 2/3 in.

s - 1

Step-by-step explanation:

a = side 1

b = side 2

c = side 3

a + b + c = 15

a = b - 4 => b = a + 4

c = a + 3

a + a + 4 + a + 3 = 15

3a + 7 = 15

3a = 8

a = 8/3 = 2 2/3 in

b = a + 4 = 6 2/3 in

c = a + 3 = 5 2/3 in

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Answer:

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Step-by-step explanation:

The formula used to calculate lateral surface area of right circular cone is: s=\pi r\sqrt{r^2+h^2}

where r is radius and h is height.

We are given:

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Putting values in the formula and finding height:

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Unit 3 Mid - Assessment
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3 years ago
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Marrrta [24]

Answer:

y=-\dfrac{1}{3}x-1

Step-by-step explanation:

<u>Given: </u>

line y=3x-1

point (-3,0)

<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)

<u>Solution:</u>

The slope of the given line is m=3

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m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}

So, the equation of the needed line is y=-\dfrac{1}{3}x+b.

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1

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