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Zielflug [23.3K]
3 years ago
12

4. Evaluate the geometric series given a1 = 4, r = -2 and n = 12

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

we know that

a1=7

r=2

n=14

then

Sn=a1*[(r^n)-1]/(r-1)-------------->S14= 7*[(2^14)-1]/(2-1)=114681

the answer is 114681

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A rectangle with sides 3 cm and 5 cm was enlarged in the ratio 1:3. Chapter Reference a How did the perimeter of the rectangle c
lakkis [162]

Answer:

It is three times as large

Step-by-step explanation:

If a ration is also a fraction, and your wording is correct than an enlargement of 1:3 where 1 is the original shape would suggest that the 3 would be that same original shape, be enlarged in terms of 3 compares to 1 so a 300% enlargement.

if the original rectangle has a 16 cm perimeter, than the new rectangle has a 48 cm perimeter.

3 0
3 years ago
Help please quick
jolli1 [7]

Answer:

33

Step-by-step explanation:

Since 31 + 32 + 33 + 34 = 130 and they are consecutive.

6 0
4 years ago
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A swimming pool had 2.5 million liters of water in it. Some water evaporated, and then the pool only had 2 million liters of wat
shepuryov [24]
Original volume = 2.5 million liters.
After evaporation, the remaining volume is 2 million liters, therefore
Evaporated volume = 2.5 - 2 = 0.5 million liters.

Percent of water evaporated = 100*(0.5/2.5) = 20%

Answer: 20%
6 0
4 years ago
Can you help me with this one
nataly862011 [7]
Isolate the variable by subtracting the 10 from Both sides...

You are then left with
2x=10

Then divide both sides by 2 (to isolate the variable)

Therefore

X=5
4 0
3 years ago
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Coordinates A (1, 2), B (3, 2) and C (3, 5) are connected to form ΔABC. If ΔDFE is similar to ΔABC, what are the coordinates of
vesna_86 [32]

Answer:

Possible coordinate of F are (10,5) and (6,11)

Step-by-step explanation:

Coordinates A (1, 2), B (3, 2) and C (3, 5) are connected to form ΔABC

First we plot the points on coordinate plane and then draw triangle ABC. Please see the attachment for figure.

If ΔDFE is similar to ΔABC then their corresponding sides are in proportional.

\therefore \frac{AB}{DF}=\frac{AC}{DE}=\frac{BC}{FE}

Using distance formula, d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(3-1)^2+(2-2)^2}=\sqrt{4+0}=2

AC=\sqrt{(3-1)^2+(5-2)^2}=\sqrt{4+9}=\sqrt{13}

BC=\sqrt{(3-3)^2+(5-2)^2}=\sqrt{0+9}=3

DE=\sqrt{(10-6)^2+(11-5)^2}=\sqrt{16+36}=2\sqrt{13}

\frac{AC}{DE}=\frac{1}{2}

We can see  ABC is right angle triangle. So, DEF must be right angle triangle because ΔDFE ~ ΔABC

\frac{BC}{FE}=\frac{1}{2}=\frac{3}{6}

\therefore FE=6

\frac{AB}{DF}=\frac{1}{2}=\frac{2}{4}

\therefore DF=4

Thus, Possible coordinate of F are (10,5) and (6,11)

6 0
3 years ago
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