Answer:
Diameter of the smaller coin = 2.46 cm
Step-by-step explanation:
Circumference of a coin = 2πr
Circumference of coin A = 8.03 cm
Circumference of coin B = 8.03 cm - 0.33 cm
A.) what is the first step to find the diameter of the smaller coin?
Find the circumference of coin B
Circumference of coin B = 8.03 cm - 0.33 cm
= 7.7 cm
B.) Find the diameter of the smaller coin.
Circumference of a coin = 2πr
7.7 = 2 × 3.14 * r
7.7 = 6.28r
r = 7.7 / 6.28
r = 1.23 cm
Diameter = 2r
= 2 * 1.23 cm
= 2.46 cm
Diameter of the smaller coin = 2.46 cm
Answer:
x = 4
8(4) - 2 = 30
15(4) = 60
All triangles equal 180 degrees and there is already a right angle. 60 plus 0 is 90, and 90 plus 90 (or 90 times 2) is 180
60 + 30 = 90
90 + 90 = 180
Step-by-step explanation:
9514 1404 393
Answer:
107°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
X = 180° -Q
X = 180° -73° = 107°
Answer:
![(-7,4]\text{ or }\{x|-7](https://tex.z-dn.net/?f=%28-7%2C4%5D%5Ctext%7B%20or%20%7D%5C%7Bx%7C-7%3Cx%5Cleq%204%5C%7D)
Step-by-step explanation:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
![(-7,4]](https://tex.z-dn.net/?f=%28-7%2C4%5D)
We use parentheses on the left because we do not include -7. And we use brackets on the right because we <em>do </em>include the 4.
And in set notation, this is:
Given that the roots of the equation x^2-6x+c=0 are 3+8i and 3-8i, the value of c can be obtained as follows;
taking x=3+8i and substituting it in our equation we get:
(3+8i)^2-6(3+8i)+c=0
-55+48i-18-48i+c=0
collecting the like terms we get:
-55-18+48i-48i+c=0
-73+c=0
c=73
the answer is c=73
