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pantera1 [17]
3 years ago
12

The area of a triangle is 3.6 cm2. If the triangle has a base of 6 cm, what is the height?

Mathematics
1 answer:
Allisa [31]3 years ago
7 0
The area of a triangle can be calculated using the following equation:

A = 1/2 (B x H)

Where B is the dimension of the base and H is the height of the triangle. 

Since the area is known and the dimension of the base is also known, substitute the values into the equation to find the height:

3.6 cm2 = 1/2 (6 cm) (H)

Solving yields an answer of 1.2 cm. Hence the height is 1.2 cm. 
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Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral t
solniwko [45]

Answer:

 (a) isosceles

 (b), (c) scalene

Step-by-step explanation:

The lengths of the sides can be found from the distance formula:

 d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.

We find triangle (a) has two sides the same length, so it is isosceles.

The other two triangles have three different side lengths, so they are scalene.

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<em>Additional comment</em>

It is impossible to specify an equilateral triangle using rational coordinates.

6 0
2 years ago
A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-st
densk [106]

Answer:

\[y < = 300\]

Step-by-step explanation:

Let x = number of out-of-state students at the college

Let y = number of in-state students at the college

As per the given problem, the constraints are as follows:

\[x < = 100\]    --------- (1)

\[y = 3 * x\]      --------- (2)

From the given equations (2), \[ x = y/3 \]

Substituting in (1):

\[y/3 < = 100\]

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7 0
3 years ago
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If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be? A. h(x) = 4(x + 9)2 – 17
ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

If you move down 1 unit, you simply subtract 9 units from the given equation.

g(x) = 4x^2 - 16 - 1

g(x) = 4x^2 - 17

Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.

The wrong way to do it is in answer A.

B is the correct answer

h(x) = 4(x - 9)^2 - 17

6 0
3 years ago
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