Answer:
1)b
2)d)80/360×36π≈25.12cm²
4)d)32.5
5)c)135°
6)d)4π/3
Step-by-step explanation:
1) because as we know
Circle equation
=(x-a)²+(y-b)²=r²
=(x-5)²+(y+1)²=36 (given)
=(x-(+5))²+(y-(-1))²=6²
So
C(5,-1)and r=6
2)as we know area of sector
=Theta/360×πr²
=80/360×6²π
80/360×36×3.14
80/10×3.14
=25.12
4)to figure out 4 we have to separate the shape into 2 parts
First semi-circul
Second rectangle
So the parameter of the shape
=Circumference of semi-circul + the parameter of the rectangle
=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)
=[15.7+26.8]-10
=32.5
5)3π/4
3×180/4
540/4
135
6)240°
240°×π/180°
4π/3
10x^6y^3 + 20x^3y^2 / 5x^3y =
5x^3y (2x^3y^2 + 4y) / 5x^3y=
<span>2x^3y^2 + 4y
</span>
First you find what the expressions 10x^6y^3 and 20x^3y^2 have in common, and that is 5x^3y, which is the same as the denominator, so you can easily divide them and get 1.
<span>Hope you understand!
</span>
The surface area of this hexagonal prism is approximately 313.2cm^2
Hope this helps
Answer:
5
Step-by-step explanation:
The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.
Answer: It would be cheaper to by the 120 ounce, instead of two 64 ounces.
Step-by-step explanation:
That’s because it would be $6.64, for two 64 ounces. $5.90 is cheaper than $6.64. Therefore it would be cheaper to get the 120 ounce.
