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yKpoI14uk [10]
3 years ago
8

Over the course of a year,a tractor-trailer commutes 160,000 miles across America.Assuming a trucker changes his tires every 40,

000 miles,and that he starts with a brand new set of tires,how many sets of tires will he use in a year?
Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
8 0

Answer:

He will use 4 sets of tires in a year.

Step-by-step explanation:

This question can be solved by a rule of three.

We have that:

Each set of tires lasts 40,000 miles. How many sets are going to be needed for 160,000 miles. So:

1 set - 40,000 miles

x sets - 160,000 miles

40000x = 160000

x = \frac{160000}{40000}

x = 4

He will use 4 sets of tires in a year.

Nikolay [14]3 years ago
3 0
160,000 - 40,000= 120,000/4 = 3 sets of new tires in the first year and 4 every consecutive year.
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On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negativ
oksian1 [2.3K]

The corresponding height of the triangle is 1.6 units

The formula for calculating the area of a triangle is expressed as:

A=\frac{1}{2} bh

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  • h is the height of the triangle

Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:

A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\

Substituting the coordinate points:

A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2

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Learn more on area of triangles here: brainly.com/question/17335144

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