A long distance telephone company advertised the rates of 5 minutes for 85¢ and 10 minutes for $1.10.Use a linear equation to find the cost of a 25 minute phone call.

Answers

Answer 1

Answer: Let x represent the number of minutes and y the cost. Then
y - 0.85 = (1.10 - 0.85)/(10 - 5) (x - 5)
y - 0.85 = 0.25/5 (x - 5) = 1/20 (x - 5) = 1/20 x - 1/4
y = 0.05x - 0.25 + 0.85 = 0.05x + 0.6
y = 0.05x + 0.6

The cost of 25 minutes = 0.05(25) + 0.6 = 1.25 + 0.6 = $1.85

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Which of the following is always true?1. All trapezoids are similar.
II. All parallelograms are similar.
III. All kites are similar.
IV. All regular quadrilaterals are similar.
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I and III only
O II and IV only
Please help quick

Answers

Answer:

Step-by-step explanation:

A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid. A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required. In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.

A parallelogram has adjacent sides with the lengths of and . Find a pair of possible adjacent side lengths for a similar parallelogram. Explanation: Since the two parallelogram are similar, each of the corresponding sides must have the same ratio.

Not only are the corresponding angles the same size in similar polygons, but also the sides are proportional.

29 + _ = 1000

vabbshs jsjsjsjs

Answers

Answer:

dont get it

Step-by-step explanation:

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The formula for the height of a ball as a function of time is given by the equation h = -16t^2 + vt + h, where h is the height of a ball in feet, v is the initial velocity of the ball in feet per second, h is the initial height of the ball in feet, and t is the time in seconds after the ball was thrown.If a ball is thrown from an initial height of 5 feet at an initial velocity of 20 feet per second, what is its height after 1 second?

Answers

It's really poor form to use 'h' to mean two different things in two different
places in the same formula. Fortunately, we know what you mean.

H = h + vt - 16t²

You have said that ...
initial height = 5 feet
initial velocity = 20 feet per second, no direction given
time = 1 second

Since you gave us the magnitude of the initial velocity but not its direction,
there are a huge number of possibilities. I'll focus only on two of them:
20 feet per second straight down, and 20 feet per second straight up.

Initial velocity is downward:
H = (5) + (-20) (1) - 16 (1)²
H = 5 - 20 - 16 = 5 - 36 = 31 feet underground after 1 second

Initial velocity is upward:
H = (5) + (20) (1) - 16 (1)²
H = 5 + 20 - 16 = 25 - 16 = 9 feet above ground after 1 second

Complementary, supplementary, adjacent, and vertical angles(Best answer with explanation gets brainliest)

Answers

Answer:

The information you provided appears to be a list of angles along with terms related to angles.

1. 29°: This is the measure of an angle. It represents an angle that is less than 90° and is called an acute angle.

2. J7: It is not clear what "J7" represents in this context. If you could provide more information or clarify its meaning, I would be happy to help.

3. 61°: This is another measure of an angle. It represents an angle that is less than 90° and is also called an acute angle.

4. یاب: "یاب" is a Persian word meaning "find" or "solve." In the context of angles, it is not clear what it refers to. If you have a specific question or problem related to angles, please provide more details so I can assist you further.

5. 45°: This is the measure of an angle. It represents an angle that is exactly half of a right angle and is called a right angle.

6. 2: It is not clear what "2" represents in this context. If you could provide more information or clarify its meaning, I would be happy to help.

7. 135⁰: This is another measure of an angle. It represents an angle that is greater than 90° but less than 180°. It is called an obtuse angle.

The terms mentioned in the list, such as "Complementary Angles," "Adjacent Angles," "Vertical Angles," and "Supplementary Angles," are concepts related to angles:

- Complementary Angles: Two angles are considered complementary if the sum of their measures is equal to 90°. For example, if one angle measures 30°, the other angle that makes it complementary would measure 60°.

- Adjacent Angles: Two angles are considered adjacent if they have a common vertex and a common side between them. In other words, they share a ray. For example, if you have a straight line and divide it into two angles at a point, those angles would be adjacent.

- Vertical Angles: Vertical angles are formed by two intersecting lines. They are opposite each other and have equal measures. For example, if two lines intersect and form four angles, the angles that are opposite to each other (across the intersection) are vertical angles.

- Supplementary Angles: Two angles are considered supplementary if the sum of their measures is equal to 180°. For example, if one angle measures 120°, the other angle that makes it supplementary would measure 60°.

If you have any specific questions about these concepts or would like further clarification, please let me know!

Answer:

1. Complementary.

2. Adjacent.

3. Vertical.

4. Supplementary.

Step-by-step explanation:

The options we have are complementary, supplementary, adjacent, and vertical angles. So we should probably start by explaining briefly what each of these are.

Complementary angles are angles that when added together, equal 90°.

Supplementary angles are angles that when added together, equal 180°.

Adjacent angles are angles with a common side and a common vertex (they share a side and start from the same point).

Vertical angles are pairs of opposite angles made by two intersecting lines.

1. Let's look at the first option. We see two angles marked, 61° and 29°. Note that 61 and 29 add to 90. That means these angles must be complementary.

2. Let's look at the second option. We see two angles marked, 1 and 2. Note that the share a side (the line/arrow between them) and a vertex (they start from the same point. That means these angles must be adjacent.

3. Let's look at the third option. We see two angles marked, 1 and 2. Note that they are made by two intersecting lines and are located opposite each other. That means these angles must be vertical.

4. Finally, let's look at the second option. We see two angles marked, 45° and 135°. Note that 45 and 135 add to 180. That means these angles must be supplementary.

The area of a rectangular wall of a barn is 55 square feet. It's length is 6 feet longer than the width. Find the length and width of the wall of the barn.

Answers

x - width
x+6 - length

$x(x+6)=55\n x^2+6x-55=0\n x^2+11x-5x-55=0\n x(x+11)-5(x+11)=0\n (x-5)(x+11)=0\n x=5 \vee x=-11$

x=5 feet
x+6=11 feet

Final answer:

The dimensions of the barn wall are found by setting up and solving a quadratic equation involving its area and the relationship between its length and width. Discarding the nonsensical negative solution, we find that the width of the wall is 5 feet and the length is 11 feet.

Explanation:

Given that the area of the rectangular wall is 55 sq. ft. and the length is 6 ft. longer than the width, we can assign the width as x and the length as x + 6. Therefore, length multiplies width equals to the area of the rectangle, we then have the equation: x * (x + 6) = 55.

After rearranging the equation, we obtain: x² + 6x - 55 = 0. This is a quadratic equation that we can solve using the quadratic formula or by factoring if possible. Factoring results in (x - 5)(x + 11) = 0. Setting each factor equal to zero gives the possible solutions x = 5 and x = -11.

However, since the dimensions of a physical object (in this case, width of the barn wall) cannot be negative, we discard x = -11. Therefore, the barn wall has a width of 5 feet and a length of 5 + 6 = 11 feet.