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3 years ago

How to tell if a triangle is acute or obtuse from side lengths?

1 answer:

4 0

Let the 3 sides be a,b and c. Take the longest side c:-

then for an acute triangle c^2 < a^2 + b^2

and for an obtuse triangle c^2 > a^2 + b^2

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A line segment is defined as a part of a straight line connecting two points called

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Answer: D

Step-by-step explanation:

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3 years ago

Find the lateral surface area of a

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Answer:

15.1 mm²

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

(where r is the radius and h is the height)

Given:

r = 1.2 mm
h = 2 mm

Substitute given values into the formula:

⇒ Lateral surface area = 2π(1.2)(2)

= 4.8π

= 15.1 mm² (nearest tenth)

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2 years ago

The vertex of this parabola is at (-2, -3). When the x-value is -1, the

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Answer:

-2

Step-by-step explanation:

Start with the vertex form of the equation of a parabola: y - k = a(x - h)^2

Here h = -2, k = -3, x = -1, y = -5. Find a:

-5 - [-3] = a(-1 - [-2])^2, or

-5 + 3 = a(1)^2, or

-2 = a

The unknown coefficient is -2.

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3 years ago

A frog is jumping onto a lily pad. Its height, h (in feet), is recorded at various seconds, t, in the

myrzilka [38]

Answer:

I don't know

Step-by-step explanation:

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3 years ago

The sum of three consecutive even numbers is 48. What is the smallest of these numbers?

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Answer: The numbers are 14, 16 and 18.

Step-by-step explanation: First thing to note is that consecutive even numbers have a difference of 2 units between every two terms. That is, if the first number is a, the next would be a + 2, and the next would be a + 4, and so on.

Therefore the three consecutive even numbers shall be a, a + 2, and a + 4.

Our equation now becomes;

a + a + 2 + a + 4 = 48

3a + 6 = 48

Subtract 6 from both sides of the equation

3a = 42

Divide both sides of the equation by 3

a = 14

Therefore, the numbers are 14, 16 and 18.

4 0

3 years ago

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