To cover the width we need 12÷¾=12×4/3=16 tiles.
To cover the length we need 15×4/3=20 tiles, so to cover the floor area we need 16×20=320 tiles.
This photo is the explanation
Okay, so you know that the perimeter of the pen is 28 feet. Now we need the separate side lengths.
P = 28 ft.
Length = x
Width = (1/2)x + 2
So now we can plug in the little equations of length and width into a perimeter formula:
2(x) + 2((1/2)x + 2) = 28
Distribute the 2's and solve as needed.
2x + x + 4 = 28
3x + 4 = 28
3x = 24
x = 8
To find the width, just plug in 8 for x in our little equation:
(1/2)(8) + 2
= 6
So, the length is 8 feet and the width is 6 feet.
Answer:
Step-by-step explanation:
The equation for a circle is , where is the vertex of the circle and is the radius. Immediately, since the center of the circle is given, we know what and are. is 230 and is 220.
The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that , where is the change in the x-coordinates of the two points and is the change in the y-coordinates of the two points. Plug-in for 60 and for 50 to get . Solve for , arriving at . Therefore, the radius of the circle is .
Finally, we have all of the components to create the equation of the circle. Plug-in 230 for , 220 for , and for .
The equation of the circle will be .
Hope this helps :)
Hey there :)
- tan²x + sec²x = 1 or 1 + tan²x = sec²x
sin²x + cos²x = 1
Divide the whole by cos²x
so
and
so
Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}
1 = - tan²x = sec²x or sec²x - tanx = 1