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3 years ago

6

An equilateral triangle has an apothem of 5cm. Find the perimeter of the triangle to the nearest centimeter

1 answer:

Sloan [31]3 years ago

5 0

The apothem is the distance from which the altitudes of the triangle to one of its sides. It can be calculated through the equation below,
tan 30° = apothem / 0.5(length of side)
Substituting the known values,
tan 30° = 5 / 0.5x
The value of x from the equation above is 17.32. Multiplying this value by 3 (because a triangle has 3 sides), we get an answer of 51.96 cm or approximately equal to 52. Thus, the answer is letter B.

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3 years ago

Complete the equation so that it has solutions of –5 and 7. x2 x = 0

Pavlova-9 [17]

The equation it has solutions of –5 and 7 is x^2-2x-37=0

We have equation

solutions of equation are –5 and 7.

We have to find complete the equation.

We have given that solutions of the equation are -5, 7.

The standard form of a quadratic equation.

<h3>What is the factor of the quadratic equation?</h3>

$(x -\alpha) (x- \beta)$

Where we have

$p = -(\alpha+\beta) and q = (\alpha\times \beta)$

So, roots are

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On substituting p and q in equation

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brainly.com/question/472337

4 0

2 years ago

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thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.

Lena [83]

Step-by-step explanation:

Use the method of TOA CAH SOH.

$tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3)$

$cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) }$

Perimeter of triangle = Sum of all sides =

$u \: + \: v + 4$

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4 years ago

Use the elimination method to solve the system of equations.

Alborosie

<span> 5x + 2y = 7
+
−5x + 4y = 5
____________

6y = 12
y = 12/6
y = 2

</span>5x + 2y = 7
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<span>A. ( 3/5, 2) </span>

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4 years ago

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