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VARVARA [1.3K]
3 years ago
11

Round to the nearest hundredth (Geometric Series problem)

Mathematics
1 answer:
WITCHER [35]3 years ago
4 0

Answer:

15.98

Step-by-step explanation:

∑₁¹⁰ 8(\frac{1}{4} )^{n-1}

=8[1+\frac{1}{4} +\frac{1}{16} + ........ +t_{10}]

We have to use the formula of sum of a G.P. series with common ratio r < 1.

If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by  

[a \times\frac{1-r^{n} }{1-r}]

= 8[1 \times \frac{1-\frac{1}{2^{10} } }{1-\frac{1}{2} } ]

= 15.98 (Answer)

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Find the value of y and<br> simplify completely.
Anna [14]

Answer:

y = 8

x = 8√5

z = 4√5

Step-by-step explanation:

Using the formula (which is a geometric mean):

a        y

---- = -----

x        a

Where a is the altitude (y), x is a projection (16), and y is the other projection (4):

y        4

---- = -----

16       y

Cross multiply:

y² = 16 (4)

y² = 64

√y² = √64

y = 8

To find x and z, use the Pythagorean Theorem:

16² + y² = x²

256 + 8² = x²

256 + 64 = x²

320 = x²

√320 = √x²

√64√5 = √x²

8√5 = x

x = 8√5

4² + y² = z²

16 + 64 = z²

80 = z²

√80 = √z²

√16√5 = √z²

4√5 = z

z = 4√5

5 0
3 years ago
Aniyah spent $36 on snacks for Super Bowl Sunday and had $12 left. What percent of her money did she spend?
IgorC [24]
First, figure out how much Aniyah started with.  Add.  Show your work.

Then, write out the fraction (amount spent) / (amount Aniyah began with).

Last, multiply your result by 100%, and then round off the resulting percentage to the nearest integer number.
4 0
3 years ago
4. Find the distance between a point (–3, 4) and a vertical line at x = 4.
zloy xaker [14]

Answer:

<h2>7</h2>

Step-by-step explanation:

Let the point A(a, b) and the line x = k. The distance between the point A and the line k is equal |k - a|.

We have A(-3, 4) and x = 4. Substitute:

d = |4 - (-3)| = |4 + 3| = |7| = 7

6 0
3 years ago
What is 25 percent of 225
enyata [817]
If you would like to know what is 25 percent of 225, you can calculate this using the following steps:

25 percent of 225 = 25% * 225 = 25/100 * 225 = 56.25

Result: 25 percent of 225 is 56.25.
7 0
3 years ago
Graph the equation on the coordinate plane.
CaHeK987 [17]
Mark brainliest please


Hope this helps you

6 0
3 years ago
Read 2 more answers
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