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Alik [6]
3 years ago
13

Help!! include working out please :)

Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0
If the perimeter of a circle is d*pi, then you would do ((30*3.14)-(20*3.14))/2 to find the perimeter. 30*3.14=94.2 20*3.14=62.8 94.2-62.8=31.4 31.4/2=15.7 cm
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1. A circle with center (-5, 2) is tangent to the y-axis. What is the radius of the circle? What is the equation of the circle?
Bess [88]

Answer:

Step-by-step explanation:

1)  The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis.  Thus, the radius is 5.

2)  Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given

                     (x - 4)^2 + (y + 3)^2 = 6^2

we see that h = 4, k = -3 and r = 6.  The center is at (4, -3) and the radius is 6.

3)  Notice that A and B have the same x-coordinate, x = 15.  The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction.   Arbitrarily choose A(15, 4) as one point on the circle.  Then the equation of this circle is

(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).

4 0
2 years ago
caleb and emily are standing 100 yards from each other. caleb looks up at a 45 degree angle to see a hot air balloon. Emily look
Sunny_sXe [5.5K]
Check the picture below.

thus then

\bf \begin{cases}
y=100-a\\
y=a\sqrt{3}
\end{cases}\implies 100-a=a\sqrt{3}\implies 100=a+a\sqrt{3}
\\\\\\
100=a(1+\sqrt{3})\implies \boxed{\cfrac{100}{1+\sqrt{3}}=a}
\\\\\\
\textit{what is the altitude \underline{y} then?}\qquad y=100-a
\\\\\\
y=100-\cfrac{100}{1+\sqrt{3}}\implies y\approx 63.39745962156~yards

8 0
3 years ago
Read 2 more answers
Katie bought 3 pounds of peaches for $5.70 last week. This week, they are $1.88 per pound. Is this week’s rate proportional to l
netineya [11]

Answer:

1.9

Step-by-step explanation:

Step by step answer

5 0
3 years ago
Read 2 more answers
Worth 12 points and please actually help me
Alekssandra [29.7K]

Answer:

(-3,0)

Step-by-step explanation:

Step 1 identify coordinates of A

The coordinate of A is (-6 , 2)

Step 2 apply translation by adding 3 to the x value and subtracting 2 from the y value

(-6 + 3 , 2 - 2)

Simplify

(-3 , 0)

6 0
2 years ago
What is 7(x + 6) solve it
Elis [28]

Answer:

49

Step-by-step explanation:

First you must do x times 6, x is really just 1. After you do that, you times it by 7.

8 0
3 years ago
Read 2 more answers
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