If the sales tax in your city is 4.7%, and an item costs

Mathematics

1 answer:

just olya [345]2 years ago

7 0

164*.047 is 7.708 rounded to the nearest cent its $7.71

You might be interested in

Graph the line given by 2x+y=1 and the circle given by x²+y²=10.Find all solutions to the system of equations. Verify your resul

Aleksandr-060686 [28]

Answer:

(1.8, -2.6) and (-1, 3)

Step-by-step explanation:

$2x+y=1$

$x^2+y^2=10$

From the first equation

$y=1-2x$

Applying to the second equation

$x^2+(1-2x)^2=10\\\Rightarrow x^2+1+4x^2-4x=10\\\Rightarrow 5x^2-4x-8=0$

Solving the equation we get

$x=\frac{-\left(-4\right)+\sqrt{\left(-4\right)^2-4\cdot \:5\left(-9\right)}}{2\cdot \:5}, \frac{-\left(-4\right)-\sqrt{\left(-4\right)^2-4\cdot \:5\left(-9\right)}}{2\cdot \:5}\\\Rightarrow x=1.8, -1$

At x = 1.8

Applying in first equation

$2\times 1.8+y=1\\\Rightarrow y=1-3.6\\\Rightarrow y=-2.6$

At x = -1

Applying in first equation

$2\times -1+y=1\\\Rightarrow y=1+2\\\Rightarrow y=3$

∴ The circle and line intersect at points (1.8, -2.6) and (-1, 3)

3 0

2 years ago

Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

Talja [164]

9514 1404 393

Answer:

The triangle is not acute because 2² + 4² < 5²

Step-by-step explanation:

The square of the hypotenuse of a right triangle with the given short sides would be 2² +4² = 20. So, that hypotenuse would be √20, about 4.47. The long side of this triangle is longer than that, so the angle opposite is larger than 90°. The triangle with sides 2, 4, 5 is an obtuse triangle.

The triangle is not acute because 2² + 4² < 5²