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ozzi
3 years ago
5

1. There are 4 quarts in 1 gallon. How many quarts are in 4 gallons?

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
6 0
1.)16
2.)14.5
3.)18,480
4.)3
5.)4
6.)3.75
Artist 52 [7]3 years ago
4 0
1. 16

2. 14.5

3. 18,480

4. 3

5. 4

6. 3.75
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For which values of x is the inequality 2(1 + x) > x + 8 true?
dlinn [17]

Answer:

the correct answer is D...

8 0
2 years ago
?Write the phrase as a rate in simplest form.<br> ?260 inches in 15 seconds<br><br> ?
melomori [17]

Answer: 52:3


Step-by-step explanation:

260 divided by 5 = 52

15 divided by 5 = 3

260:15 = 52:3


6 0
3 years ago
3. Show that a circle with equation (x−2)^2+(y+3)^2=160 has two tangent lines with equations
Pepsi [2]

Answer:

  see below

Step-by-step explanation:

A graphing calculator shows each of the lines intersect the circle in exactly one place, so is tangent.

__

Each of the given lines is written in point-slope form. Each has a slope of 1/3. We will call the point in its equation the "reference point" of each line. For the first line, it is (6, -15); for the second line it is (-2, 9).

The center of the circle is (2, -3), so the slope from the center to the reference point of each line is ...

  line 1: (-15 -(-3))/(6 -2) = -12/4 = -3

  line 2: (9 -(-3))/(-2-2) = 12/-4 = -3

These slopes are the negative reciprocal of the slope of each of the lines, so a segment from the circle center to the reference point of each line is perpendicular to the line.

__

The reference point of line 1 (6, -15) is on the circle:

  (6 -2)^2 +(-15 +3)^2 = 16 +144 = 160

The reference point of line 2 (-2, 9) is on the circle:

  (-2-2)^2 +(9 +3)^2 = 16 +144 = 160

So, the reference point of each line is on the circle and that point is the endpoint of a segment from the circle center that is perpendicular to the line. Hence each of the lines is a tangent at its reference point.

6 0
3 years ago
Alejandro is renting a car to visit his cousin for seven days. The rental car company charges him $199 for the week plus $0.32 p
Gekata [30.6K]

Answer:

(199+0.32)minus 350

Step-by-step explanation:

199 is the cost plus fee per mile 0.32 subtract 350 to see if he can afford it

5 0
3 years ago
In 1603, German astronomer Christoph Scheiner began to copy and scale diagrams using an instrument that came to be known as the
schepotkina [342]

It should be noted that a pantograph consists of four rods that are joined together in order to form a parallelogram with the joints varying in relation to the scale of reproduction.

<h3>Pantograph</h3>

In a pantograph, the mechanical assembly is based on the shape of a parallelogram.

It should be noted that the operation of a pantograph can be related to dilation as it has a fixed center and two points which are a drypoint that follows the contour of the original drawing, as well as a pen point that traces the reproduction in an enlarged or reduced form.

In order to enlarge a drawing, the index is positioned between the fixed center and the pen. Therefore, to reduce it, the pen is set between the fixed center and the index.

Lastly, to copy a drawing on the same scale, it can be deduced that the index and the pen are equidistant from the fixed center.

Learn more about mechanical assembly on:

brainly.com/question/258307

7 0
2 years ago
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