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2 years ago

9

Diego wanted to find the 7% sales tax on purchases that total $15.99. On his calculator the display showed $1.1193 as the tax. H

ow much sales tax will Diego pay?

1 answer:

cricket20 [7]2 years ago

6 0

If I understand this question correctly, Diego will pay $1.12 because the 9 rounds the 1 up to a 2.

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Two interior angles of a triangle each measure 34 what is the measure of the third interior angel?

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2 years ago

Identify the domain of the following rational expression:

Zinaida [17]

The domain for the rational expression as given in the task content is; All real numbers except -5.

<h3>Domain of Rational functions</h3>

The domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.

On this note, the expression is undefined when, 3x + 15 = 0.

Hence, the domain is All real numbers except -5.

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2 years ago

Shown below is a blueprint for a rectangular kennel at a pet hotel.

yulyashka [42]

Answer:

The total length of fencing needed to enclose the kennel 74 feet.

Step-by-step explanation:

Given:

The blueprint of the rectangular kennel shows one side is 23 feet and another side is 14 feet.

As it is a rectangular shape, let the two sides be the length and the breadth of the rectangular kennel. i.e

$length = L = 23\ feet\\breadth = B = 14\ feet\\$

To find:

Total length of fencing needed is to enclose the kennel. i.e

Perimeter of a rectangular kennel = ?

Solution:

we have the formula for perimeter of a rectangle as giving below.

$\textrm{perimeter of rectangle} = 2(length + breadth) \\\textrm{total length of fencing} = 2( L+B)\\ \textrm{substituting the values of length and breadth we get}\\ \textrm{total length of fencing} = 2(23+14)\\=2\times37\\= 74\ feet$

Therefore,the total length of fencing needed to enclose the kennel 74 feet.

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3 years ago

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2 years ago

Read 2 more answers

Find the major axis for the ellipse <br> x² + 16y2-96y + 128 = 0

Softa [21]

The major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

To answer the question, we need to write it in the standard form of the equation of an ellipse

<h3>Equation of an ellipse</h3>

The equation of an ellipse centered at (h,k) is

(x - h)²/a² + (y - k)²/b² (1) where a > b and the major axis is parallel to the x axis

Given x² + 16y² - 96y + 128 = 0, we convert it into the standard equation of an ellipse.

So, x² + 16y² - 96y + 128 = 0

Dividing through by 16, we have

x²/16 + 16y²/16 - 96y/16 + 128/16 = 0/16

x²/16 + y² - 6y + 8 = 0

Completing the square in y by adding and subtracting (-6/2)² = (-3)²

x²/16 + y² - 6y + (-3)² - (-3)² + 8 = 0

x²/16 + (y - 3)² - 9 + 8 = 0

x²/16 + (y - 3)² - 1 = 0

x²/16 + (y - 3)² = 1

x²/4² + (y - 3)²/1² = 1 (2)

Comparing equations (1) and (2), we have that a = 4 and b = 1.

Since a = 4 > b = 1, the major axis for the ellipse is the x-axis

So, the major axis for the ellipse, x² + 16y² - 96y + 128 = 0 is the x-axis

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