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3 years ago

The vertices of a square are listed below.

2 answers:

8 0

The right answer for the question that is being asked and shown above is that: "a. reflection." After the square undergoes an isometric transformation, its new vertices are Q'(0,0), U'(4,0), A'(4,-4), and D'(0,-4). The option that best describes the type of transformation that maps QUAD onto Q'U'A'D' is that <span>a. reflection</span>

Ilia_Sergeevich [38]3 years ago

5 0

Answer:

Rotation

Step-by-step explanation:

I did odyssey and got it right.

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This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

4 years ago

What is 7 1/3 - 5 4/5?<br><br>*please show work!*

Maru [420]

Answer: 2 5/15 (mixed number) or 35/15 (improper fraction)

Step-by-step explanation:

For these problems, I like to make the mixed number an improper fraction, so 7 1/3 becomes 22/3 and 5 4/5 becomes 29/5. Now, because there denominators are not the same, we can find a LCM or least common multiple to make a common denominator. 15 is the least common denominator so we can turn 22/3 to 110/15 and 29/5 to 145/15. Now we can subtract the numerators. 145-110= 35. So 35/15. It is 2 5/15 as a mixed number. Hope this helps!

5 0

3 years ago

A set of pulleys is used to lift a piano with a mass of 102 kg. The piano is lifted 3 meters in 1 minutes. How much power is use

agasfer [191]

Answer:

50.031 watts

Step-by-step explanation:

Formula

Power = Force * distance / time

The units are critical

distance = meters

time = seconds

force = newtons = kg * m / s^2

Solution

F = m * a

a = 9.81

m = 102 kg

F = 102 * 9.81 = 1000.62 Newtons

T = minute = 60 sec/min * 1 min

T = 60 seconds

d = 3 meters

Power = 1000.62 * 3 / 60

Power = 50.031

3 0

3 years ago

The equation of line CD is Y=3X -3. Write an equation of a line perpendicular to line CD in slope intercept form that contains p

OLga [1]

(I'm learning this right now!)

y = 3x - 3
If a line is perpendicular to another line, they have negative reciprocal slopes.
So you would use the slope -1/3.

Use y - y₁ = m(x - x₁) to get an equation in slope intercept form.
Plug the numbers in.

y - 1 = -1/3(x - 3)
y - 1 = -1/3x + 1
y = -1/3x + 2

An equation of a line perpendicular to line CD is y = -1/3x + 2.

8 0

3 years ago

It took Lorinda 45 minutes to drive from her house to the airport. It took her 10 minutes to find a parking space and 25 minutes

stellarik [79]

Answer:

9:30am

Step-by-step explanation:

To find what time simply add all of the minutes together and subtract. All of the steps take 100 minutes to do. 11.10 am is 670 minutes. So 670 - 100 = 570 then divide by 60 to get the time ie 9:30 am

3 0

3 years ago