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3 years ago

Teresa went out to lunch with her sister. The bill was $32.20. She had a

Mathematics

2 answers:

9966 [12]3 years ago

8 0

Answer:

$31.01

Step-by-step explanation:

32.20 x .10=3.22 coupon

32.20-3.22=28.98 discounted bill

28.98 x.07= 2.03 tax and add that together

$31.01 total bill

Norma-Jean [14]3 years ago

5 0

Answer:

$31

Step-by-step explanation:

First, to find how much the total was after we coupon we have to multiply 32.20 by 0.10. when we do that we get 3.22. Since the coupon was a discount we subtract 3.22 from 32.20 to get 28.98. We then multiply 28.98 by 0,07 to find out how much the 7% tax is. When you do that you get 2.0286. Add that to 28.98 since the tax add to the price. When you do that your answer round up to $31.

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A cylinder is placed within a cube. The diameter of the cylinder is equal to the length of each side of the cube. What is the vo

pochemuha

The volume of a shape is the amount of space in it.

The volume outside the cylinder, but inside the cube is 214.6 cubic inches

The given parameter is:

$l = 10$ ---- length of the cube

So, the volume of the cube is:

$V_1 = l^3$

$V_1 = 10^3$

$V_1 = 1000$

The volume of the cylinder is:

$V_2 = \pi r^2h$

The diameter (d) of the cylinder equals the length of the cube.

This means that:

$d = l$

$d = 10$

Divide by 2 to calculate the radius of the cylinder

$r = \frac{10}{2}$

$r = 5$

Also, the height of the cube is::

$h =l$

$h =10$

So, we have:

$V_2 = \pi r^2h$

$V_2 = \pi \times 5^2 \times 10$

$V_2 = \pi \times 25 \times 10$

$V_2 = \pi \times 250$

$V_2 = 785.4$

So, the volume (V) outside the cylinder is:

$V = V_1 - V_2$

$V = 1000 - 785.4$

$V = 214.6$

Hence, the volume outside the cylinder is 214.6 cubic inches

Read more about volumes at:

brainly.com/question/15861918

5 0

2 years ago

The length of a rectangle is 4 m less than the diagonal and the width is 5 m less than the diagonal. If the area is 82 m^2, how

nikklg [1K]

I hate rounding.

Let's call the diagonal x. It's the hypotenuse of the right triangle whose legs are the rectangle sides.

According to the problem we have a length x-4 and a width x-5 and an area

82 = (x-4)(x-5)

82 = x^2 - 9x + 20

0 = x^2 - 9x - 62

That one doesn't seem to factor so we go to the quadratic formula

$x = \frac 1 2(9 \pm \sqrt{9^2-4(62)}) = \frac 1 2(9 \pm \sqrt{329})$

Only the positive value makes any sense for this problem, so we conclude

$x = \frac 1 2(9 \pm \sqrt{329})$

That's the exact answer. Did I mention I hate rounding? That's about

x = 13.6 meters

Answer: 13.6

----------

It's not clear to me this problem is consistent. By the Pythagorean Theorem the diagonal satisfies

$x^2 = (x-4)^2 + (x-5)^2$

which works out to

$x=9 \pm 2\sqrt{10}$

That's not consistent with the first answer; this problem really has no solution. Tell your teacher to get better material.

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3 years ago

Plug in the point to determine if it is on the circle (x – 3)² + y2 = 4 (5,0)

Butoxors [25]

Answer:

yes

Step-by-step explanation:

(5_3)^2+2(0)=4

substitute with the 5 to x and 0 to y

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The answer is discrete.

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