By using the general formula for a reflection across the x-axis, we will see that the new coordinates of the center are (-3, -4)
<h3>
Where will be the center of the new circle?</h3>
For any point (x, y), if we perform a reflection across the x-axis, the only thing we are doing is changing the sign of the y-component.
So the reflection is:
(x, y) → (x, -y)
In this case, we are reflection a circle whose center is (-3, 4), so the new coordinates of the center of the circle are:
(-3, 4) → (-3, -4)
The center of the reflected circle is at (-3, -4)
Laern more about reflections:
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Answer:
Owen can type 536 2/3 per minute
Step-by-step explanation:
let me know if this is wrong
I'm guessing the diagram shows a ladder leaning against a wall, making a right angle triangle with respect to the ground and the wall.
So, the wall's height is going to be the 'h', which will also be the 'opposite side' from the angle <span>ϴ which is made from the ladder and the ground.
</span>The ladder's length (18 foot) is going to be the 'hypotenuse' side and the other remaining side will be the 'adjacent'.
Now, once you've sorted out which side is which, we have to find the h (opp), and according to SOH CAH TOA, we will choose Sin<span>ϴ = opp/hyp.
</span>so Sinϴ = h/18....now we gotta find h, so 'cross multiply' the equation to get h = 18 x sin<span>ϴ.
</span>
To find angle ϴ, simply take the inverse of Sinϴ= h/18... and you'll get ϴ = sin-1 (sin inverse) h/18
Hope this helps
9514 1404 393
Answer:
487.2 in²
Step-by-step explanation:
The area of the semicircle is ...
A = (1/2)πr² . . . . . where r is half the diameter
A = (1/2)π(9 in)² = 40.5π in² ≈ 127.2 in²
The area of the rectangle is ...
A = bh
A = (18 in)(20 in) = 360 in²
Then the total area is ...
total area = semicircle area + rectangle area
= 127.2 in² +360 in² = 487.2 in² . . . . . area of the wood base