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jonny [76]
3 years ago
12

During an evening out, Dean paid a cab driver $20. He then spent $25 on dinner and half of his remaining money on a painting. He

bought an umbrella for $23.75 and had $42.15 left. How much money did Dean have at the beginning of the weekend?
Mathematics
1 answer:
rodikova [14]3 years ago
8 0
20+25 divided by 2 +23.75 - 42.15 = 4.100...
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Find the perimeter and volume of the shed.
Anni [7]

Answer:

Perimeter=48.497

Volume=997.661

Step-by-step explanation:

Perimeter:

2\sqrt{192} +2\sqrt{108} =48.497

Volume:

\sqrt{192}*\sqrt{108}  *\sqrt{48} =997.661

8 0
3 years ago
Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.
Sonja [21]
<h3>Answer:  Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\

Segment AB is exactly \sqrt{17} units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

-------------------------

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2)  = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\

Segment AB has a slope of 1/4.

Do the same for BC

B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2)  = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0
2 years ago
Read 2 more answers
Round 0.42 to the nearst tenth
Archy [21]
0.4 because if it’s five or more, add one more. If it’s four or less, let it rest.
4 0
3 years ago
What is the the y-intercept and x-intercept of the line.<br> 4x - 4y= 36
algol13

Answer:

x-intercept: (9,0)

y-intercept: (0,-9)  

Step-by-step explanation:

The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.

1) To find the x-intercept, substitute 0 for y. Then, isolate x.

4x-4(0)=36\\4x-0=36\\4x = 36\\x = 9

So, the x-intercept must be (9,0).

2) To find the y-intercept, substitute 0 for x. Then, isolate y.

4(0)-4y = 36\\0-4y = 36\\-4y = 36\\y = -9

So, the y-intercept must be (0,-9).

4 0
3 years ago
What is 129 multiply by 75
lianna [129]

Answer: 9675

Step-by-step explanation: u don’t want to know do u

4 0
3 years ago
Read 2 more answers
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