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alex41 [277]
3 years ago
12

Plz I'm sooooo confuzzled: If you reflect any shape across the x-axis and then across the y-axis, do you get the same result tha

t you would if you rotated it 180° about the origin? What does that mean?
Mathematics
2 answers:
Nostrana [21]3 years ago
5 0

Answer:

the answer is true

Step-by-step explanation:

If the shape is in the upper left quadrant then you reflect it across the x-axis it would be in the lower left quadrant, next you reflect across the y-axis it would be in the lower right quadrant, finally, if you rotate it 180 degrees it would be where it started.

SSSSS [86.1K]3 years ago
3 0

Answer:

it's correct because even though rotating 90° is not the same as reflecting about the y-axis, when you reflect again about the x-axis, it becomes the same as reflecting an additional 90°.

so reflecting about y and then about x is the same as rotating 180°.

Step-by-step explanation:

if you reflect (x, y) in 180° it becomes (-x,-y)

when you reflect about the y-axis, (x,y) becomes (-x,y).

when you reflect again about the x-axis, (-x,y) becomes (-x,-y) which is the same as the 180°

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What is the volume of A right prism w/ a triangular base w/ sides of 3,4 and 5 w/ a height of 10?
azamat

Check the picture below.

\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=&area~of\\ &its~base\\ h=&height\\ \cline{1-2} B=&\frac{1}{2}(3)(4)\\ h=&10 \end{cases}\implies V=\cfrac{1}{3}\cdot \cfrac{1}{2}(3)(4)(10)\implies V=20

3 0
3 years ago
Ft
Fofino [41]

Answer:

. We assume, that the number 260 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 260 is 100%, so we can write it down as 260=100%.

4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.

5. Now we have two simple equations:

1) 260=100%

2) x=6.75%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

260/x=100%/6.75%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6.75% of 260

260/x=100/6.75

(260/x)*x=(100/6.75)*x       - we multiply both sides of the equation by x

260=14.814814814815*x       - we divide both sides of the equation by (14.814814814815) to get x

260/14.814814814815=x

17.55=x

x=17.55

now we have:

6.75% of 260=17.55

Step-by-step explanation:

5 0
3 years ago
I need help with these 2 questions!! please 20 points!!!
bezimeni [28]

9514 1404 393

Answer:

  1. 45 cm²
  2. 38 cm²

Step-by-step explanation:

The conventional way to work these problems is to make use of the formulas for areas of a triangle, rectangle, and semicircle. If you've used these formulas for a while, you recognize that they give you certain relationships that may make these problems easy to do mentally.

__

1. The area of a triangle is half the product of height and width, so is equivalent to the area of a rectangle either half as high, or half as wide. We note that the width of the sail is 5 cm, so half that is 2.5 cm--exactly the same as the height of the boat's hull. That means we can add the height of the sail to the length of the boat, and the total area can be considered to be the same as that of a rectangle that is

  2.5 cm high × (12 cm + 6 cm) long = (2.5)(18) cm² = 45 cm²

__

2. The usual formula for the area of a circle is ...

  A = πr²

When expressed in terms of diameter, this becomes ...

  A = π(d/2)² = (π/4)d²

Then the area of a semicircle is half that, or (π/8)d². This is equivalent to the area of a rectangle that is "d" wide and "π/8·d" high. That is, the approximate area of the semicircle is that of a rectangle 4 cm high by (π/8·4 cm) = π/2 cm wide. In other words, the semicircle effectively adds π/2 cm to the left end of the 6 cm central rectangle of the figure.

As discussed above, the area of a triangle is equivalent to the area of a rectangle half as high. In this figure, the triangle is 10-6 = 4 cm wide, so can be considered to contribute 4/2 = 2 cm to the right end of the 6 cm central rectangle.

If we consider π ≈ 3, then the approximate area of the figure is ...

  (4 cm)(3/2 cm + 6 cm + 2 cm) = (4)(9.5) cm² = 38 cm²

__

The exact value is 4(8+π/2) = 32+2π ≈ 38.283 cm².

7 0
2 years ago
State the value of the discriminant for <br><br>y = <img src="https://tex.z-dn.net/?f=5x%5E2%2B9x-3" id="TexFormula1" title="5x^
Nostrana [21]

Answer:

141, meaning that there will be two real solutions

Step-by-step explanation:

The discriminant of a quadratic is b^2-4ac, which in this case is:

9^2-4(5)(-3)=81+60=141

Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.

Hope this helps!

3 0
3 years ago
Which pair of angles in the figure creates a straight angle
mestny [16]

im assuming i just pick two angles cause i cant see the options? two 90 degree angles.

and my name is teagan too :D

5 0
3 years ago
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