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Rudik [331]
3 years ago
14

-8+(-4)+(-2)+(-1)+(-1/2)+.... what is the sum of the first 7 terms of the geometric series

Mathematics
1 answer:
likoan [24]3 years ago
8 0
Your answer is 15.875

-8+(-4)+(-2)+(-1)+(-1/2)+(-1/4)+(-1/8)
you half the previous vaule to find the next value

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The first CORRECT answer gets Brainliest. The hints are 1. Use subtraction to find the lengths of the sides of the small rectang
Zielflug [23.3K]

Answer:

128 ft^2. <em>You are correct.</em>

Step-by-step explanation:

The shape of the family room is a smaller rectangle above a larger rectangle.

We need to find the lengths and widths of both rectangles.

The length of the larger rectangle is 12 ft.

The width of the larger rectangle is 9 ft. You can see the sides labeled 12 ft and 9 ft right on the figure.

To find the length and width of the smaller rectangle on the top left, you need to subtract.

The length is 12 ft - 7 ft = 5 ft

The width is 13 ft - 9 ft = 4 ft

Now we find the areas using the lengths and widths, and we add them.

Area of large rectangle = L * W = 12 ft * 9 ft = 108 ft^2

Area of small rectangle = L * W = 5 ft * 4 ft = 20 ft^2

Total area of room:

108 ft^2 + 20 ft^2 = 128 ft^2

Answer: 128 ft^2

7 0
3 years ago
A square wrestling mat has a perimeter of (12x-32) feet. Write an expression in simplest form that represents the side length (i
Gnom [1K]
The equation is 12x-32=p. p is the perimeter. You would have to work backward and add 32 to p, making the equation now 12x=p+32. Now you have to divide it by 12, so the final expression is x=p+32/12 ( x equals p plus 32 over 12)
8 0
4 years ago
HELP PLEASE!!!! A window is 4 feet wide and 8 feet tall. A rectangle is shown. The length of the rectangle is labeled 4 feet. Th
Bingel [31]
First, always draw. You learned to draw in kindergarben (Yes I spelled it like that on purpose LOL) for a reason.

1) Draw your rectangle on a piece of paper or paint. 
2) Scale factor each side to enlarge which means you're going to multiply. 
--- Note if it said 'to reduce' then you would divide.
3) Then find the area by multiplying the two given sides (12 x 6 = 72).
4) Don't forget your unit of measurement - 72ft²

So your answer is D.

3 0
3 years ago
Read 2 more answers
9/11 of a number is 36. What is the number?
MatroZZZ [7]

Answer:

44

Step-by-step explanation:

36/9 * 11 will get the answer

9/11 * x = 36

x = 44

(multiplied each side by 11/9 to cancel out fraction)

6 0
3 years ago
The figure is made up of hemisphere and a cylinder.
cluponka [151]

Answer:

Data: (Cylinder)

h (height) = 8 cm

r (radius) = 5 cm

Adopting:

V (volume) = ?

Solving:(Cylinder volume)

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 5 cm

Adopting:

If: We know that the volume of a sphere is , but we have a hemisphere, so the formula will be half the volume of the hemisphere

Formula: (Volume of the hemisphere)

Solving:

Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)

Volume of the figure = cylinder volume + hemisphere volume

Volume of the figure = 628 cm³ + 261.6 cm³

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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