Answer:
Step-by-step explanation:
We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:
Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:
5^2 = 3^2 + x^2
x = 4
The radius is 4 + 1 cm = 5 cm
So the area of the circle is A = pi*r^2
A = 3.14 * (5)^2
A = 25pi cm^2
To solve for the area of the shaded region:
Ashaded = Acircle - Atriangles
we need to solve for the area of the triangles:
A = 1/2 *b*h
A = 1/2 *6 * 5
A = 15 cm^2
Atriangles = 2 * 15
Atriangles = 30 cm^2
Ashaded = 25pi - 30
It is an isosceles triangle.
Answer:
Option B.
Step-by-step explanation:
Let as consider the given equation:
It can be written as
![[\because \ln e^a=a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ea%3Da%5D)
![[\because \ln a^b=b\ln a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20a%5Eb%3Db%5Cln%20a%5D)
![[\because \ln \dfrac{a}{b}=\ln a-\ln b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%5Cdfrac%7Ba%7D%7Bb%7D%3D%5Cln%20a-%5Cln%20b%5D)
On comparing both sides, we get
Multiply both sides by 5.
Divide both sides by 2.
Therefore, the correct option is B.
Let x=the amount of roses that Brad buys. (x+3)=the number of daisies that Brad buys.
x+(x+3)=33
Simplify this problem to find the amount of roses:
2x+3=33
2x=30
x=15
So, Brad buys 15 roses and 18 daisies.
Since roses cost $3, 15*3=45.
The roses cost $45.
Hope this helps! :)
