At a New Car Dealership, a particular model comes in 3 different trim levels (CX, DX,

Mathematics

2 answers:

xxMikexx [17]2 years ago

7 0

Answer:

B. 48

Step-by-step explanation:

Multiply all the numbers of choices together.

trim levels: 3

colors: 4

interior: 4

number of combinations = 3 * 4 * 4 = 48

Natasha_Volkova [10]2 years ago

6 0

Answer: B. 48

Step-by-step explanation:

Given: The number of trim levels of a particular model of car (CX, DX, and EX) : 3

The number of different colors (Night Black, Pearl White, Sandy Red, and Forest Green):

The number of interior options (Grey Cloth, Tan Cloth, Black Leather, Tan Leather) : 4

Then , the number of different versions of this model can be created from these options will be :-

$3\times4\times4=48$

Hence , 48 different versions of this model can be created from these options.

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The area of the following equilateral triangle is 62.4 square feet that is he height

Vikentia [17]

The height of this triangle would be 10.4

In order to find this, you first must find the length of the sides. Using a manipulated formula for area of an equilateral triangle, we can determine the lengths of the side. Below if the formula.

S = $\frac{2}{3}3^{\frac{3}{4}} \sqrt{A}$

In this, S is the length of the side and A is the area. So we plug in and get:

S = $\frac{2}{3}3^{\frac{3}{4}} \sqrt{62.4}$

S = $\frac{2}{3}3^{\frac{3}{4}} 7.89$

S = 12

Now that we have the side as 12, we can use the Pythagorean Theorem to find the height. If you split a equilateral triangle down the middle, you are left with two right triangles. Using this right triangle, the hypotenuse would be 12, the first leg would be 6 (half of the base) and the height would be the other leg. So we plug in and solve.

$a^{2} + b^{2} = c^{2}$