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Vesnalui [34]
3 years ago
7

Diego bought a school textbook that cost $56.18 This amount includes a tax of 6.60%. What was the cost of the book before the ta

x?​
Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer:

The answer is $59.89 after sales tax.

Step-by-step explanation:

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What is 1/8 divided by 3/4?​
nataly862011 [7]

Answer:

1 / 6 is the answer in fraction form and 0 . 16 as decimal form.

Step-by-step explanation:

1 / 8 ÷ 3 / 4

= 1 / 8 × 4 / 3

= 1 / 2 × 1 / 3

= 1 / 6

hope this answer will help you

6 0
3 years ago
Convert the polar coordinates (-3, -60°) to Cartesian coordinates.
notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

#Using the illustration above, we can express our polar coordinates as:

-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}

#Solve simultaneously to solve for x and y:

(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\  y \ in\  i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0
3 years ago
Circle P and circle Q are similar. What is the scale factor which converts P to Q?
andriy [413]

Answer: C

Step-by-step explanation:

To find the scale factor between circle P and circle Q, divide the diameter of circle Q by the diameter of circle P, 4.5 ft÷1.5 ft = 3. The scale factor between circle P and circle Q is 3.

3 0
3 years ago
Read 2 more answers
I need help on the second one
dlinn [17]
It would be reproduction
3 0
3 years ago
Which function has a vertex at the origin?<br> Help
kari74 [83]

Answer:

Option D

Step-by-step explanation:

  • y=-x²

This function has vertex at origin

Let's verify

Put (0,0)

  • 0=-(0)²
  • 0=-0
  • 0=0

Hence verified

5 0
2 years ago
Read 2 more answers
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