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3 years ago

What is the sum of the first five terms of a geometric series with a1 = 10 and r = 1/5?

Mathematics

1 answer:

Goshia [24]3 years ago

4 0

The formula to use is:
$S_{n} =\frac{a(1-r^{n})}{1-r}$
$S_{5} =\frac{10(1-0.2^{5})}{1-0.2}=12.496$
The answer is 12.496

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In triangle VWX, side VW and side XV are congruent and the measure of X is 19 degrees. What is the measure of angle V?

Alchen [17]

Answer:

80.5°

Step-by-step explanation:

Every triangle is measured to be 180°. Subtract X which is 19 from 180

180-19=161

Because V and W are congruent, they are the same length. So you divide 161 by w to get 80.5

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3 years ago

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Andreas93 [3]

Answer:

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Step-by-step explanation:

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4 years ago

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Priya drew a circle whose area is 25 cm. Dan drew a circle whose diameter is 4 times the radius of Priya's circle. How many time

Vitek1552 [10]

Answer:

400

Step-by-step explanation:

first work out the radius of priya's circle with the equation a = $\pi r^{2}$

$25 = \pi r^{2}$

$\frac{25}{\pi } = r^{2}$

$r = \sqrt{\frac{25}{\pi } }$

we know the diameter of a circle is 2 times the radius so the diameter of priya's circle is 2x $\sqrt{\frac{25}{\pi } }$

this means that if the diameter of dan's circle is 4 times bigger it must be

8x $\sqrt{\frac{25}{\pi } }$

to find the radius of dan's circle we divide the diameter by to 2 to give

4x $\sqrt{\frac{25}{\pi } }$

then use the a= $\pi r^{2}$ equation again

$a= (4 \sqrt{\frac{25}{\pi } })^{2} \pi$

which equals 400

hope that helped

6 0

3 years ago

Zara translates figure p to make figure q. If she translates figure q 4 units to right to make figure r where will figure r be l

Morgarella [4.7K]

Using translation concepts, considering the vertices (x,y) of figure p, the following rule is applied to find the vertices of figure r.

(x,y) -> (x + 4, y).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

When a figure is shifted 4 units to the right, <u>4 is added to the x-coordinate</u>, hence, considering the vertices (x,y) of figure p, the following rule is applied to find the vertices of figure r.

(x,y) -> (x + 4, y).

More can be learned about translation concepts at brainly.com/question/28416763

#SPJ1

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2 years ago