45.95+12.95+ 6.89= 65.79
I wouldn’t be too trusting of my answer though, haven’t done this math in a while
Answer:
The sum of the given series is 1023
Step-by-step explanation:
Geometric series states that a series in which a constant ratio is obtained by multiplying the previous term.
Sum of the geometric series is given by:
where a is the first term and n is the number of term.
Given the series: ![1+2+4+8+.................+a_{10}](https://tex.z-dn.net/?f=1%2B2%2B4%2B8%2B.................%2Ba_%7B10%7D)
This is a geometric series with common ratio(r) = 2
We have to find the sum of the series for 10th term.
⇒ n = 10 and a = 1
then;
![S_n = \frac{1(1-2^{10})}{1-2} =\frac{1-1024}{-1} =\frac{-1023}{-1}=1023](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7B1%281-2%5E%7B10%7D%29%7D%7B1-2%7D%20%3D%5Cfrac%7B1-1024%7D%7B-1%7D%20%3D%5Cfrac%7B-1023%7D%7B-1%7D%3D1023)
Therefore, the sum of the given series is 1023
Answer:
Do the blue block first then do the orange block then add them together.
Step-by-step explanation:
Answer:
The midpoint is (1,-13.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(7+-5) /2 = 2/2 =1
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(-12+-15) /2 = -27/2 =-13.5
The midpoint is (1,-13.5)
The dimensions of the bottom of the drawer are:
20 cm × 40 cm
So the area is : 800 cm² (rectangular shaped)
The area formula of a circle is:
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r²
The diameter of the plate is 20cm
so the radius is half the diameter which is 10cm
Apply the given to the formula:
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
(10)²
100
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
314.16 cm²
2 plates in the bottom drawer
Area of two plates:
2 × 314.16
628.32 cm²
Area of the non-covered space in the bottom drawer:
Area of drawer - area of two plates
800 - 628.32
171.68 cm²