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3 years ago

OMG OKAY SORRY BUT AGAIN WILL DO ABSOLUTELY ANYTHING FOR THIS ONE

Mathematics

1 answer:

Illusion [34]3 years ago

8 0

Answer:

Step-by-step explanation:

sinx = opposite/hypotenuse = 9/11

x = arcsin(9/11) = 54.9031987, which is about 55, degrees

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What is the sum of an infinite geometric series if the first term is 156 and the common ratio is 2⁄3?

Zanzabum

Answer:

Step-by-step explanation:

We have

$a_1=156,\ r=\dfrac{2}{3}$

If |r| < 1, then the formula of a sum of an infinite geometric sequence is:

$S=\dfrac{a_1}{1-r}$

Substitute:

$S=\dfrac{156}{1-\frac{2}{3}}=\dfrac{156}{\frac{1}{3}}=156\cdot\dfrac{3}{1}=468$

4 0

3 years ago

On a map of South Asia, Nepal looks approximately like a rectangle

Hoochie [10]

Answer:

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3 years ago

find the number of terms in an AP given that its first and last terms are 13 and - 23 respectively and that its common differenc

Leokris [45]

Answer:

<u>There are 17 terms in the sequence</u>

Step-by-step explanation:

<u>Arithmetic Sequence </u>

An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:

$a_n=a_1+(n-1)r$

Where an is the nth term, a1 is the first term, and r is the common difference.

In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

$\displaystyle n=1+\frac{a_n-a_1}{r}$

We need to express r as an improper or proper fraction:

$\displaystyle r=-2\frac{1}{4}=-2-\frac{1}{4}=-\frac{9}{4}$

Substituting:

$\displaystyle n=1+\frac{-23-13}{-\frac{9}{4}}$

$\displaystyle n=1+\frac{-36}{-\frac{9}{4}}$

$\displaystyle n=1+36*\frac{4}{9}=17$

n=17

There are 17 terms in the sequence

5 0

3 years ago

How do I solve this problem

zysi [14]

You need to simplify it
lets start with your orgininal equation here:
-5+3x=10
Now lets try and get "x" alone. we will do this by adding 5 to both sides.
-5+3x=10
+5 +5
3x=15
Now we have 3 times "x" equals 15
The next step would be to divide both sides by 3 in order to get "x" alone.
3x=15
x=15/3
x=5

4 0

3 years ago

Read 2 more answers

Jeff has $25. He spent $10.81, including tax, to buy a new DVD. He needs to set aside $19 to pay for his lunch next week. If pea

kykrilka [37]

Answer:

Step-by-step explanation:25-10.81=14.19

he doesn't have enough to set aside for his lunch.

How can he buy any peanuts? he is broke

7 0

3 years ago