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1 year ago

A right triangle has one angle that measures 6 degrees. What is the measure of the other acute angle?

Mathematics

1 answer:

mylen [45]1 year ago

3 0

Step-by-step explanation:

All three angles add up to 180 degrees.

Since it is a right triangle, there is a 90 degrees angle. And we know another angle is 6 degree. So we use the formula: 180 - (known angle + known angle) = unknown angle

Plugging in the information we get: 180 - (90 + 6) = x

180 - 96 = 84

So x = 84

We can check our work by adding all known angles to see if it is equal to 180 using the formula known angle + known angle + known angle = 180 degrees

Plugging in the information we get: 90 + 6 + 84 = 180

96 + 84 = 180

180 = 180

So the answer 84 is correct

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You have $20 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=20$ represents this situation, where x is tubes of

Nikolay [14]

Answer:

Step-by-step explanation:

20÷1.5 since there is not X

5 0

3 years ago

Emily waited in line for the StarCraft video game for 3 hours. If the line was only moving 2 1⁄4 feet per hour, how far did Emil

BabaBlast [244]

Answer:

6 3/4 feet

Step-by-step explanation:

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2 years ago

Read 2 more answers

Represent the geometric series using the explicit formula.

Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

$Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2$

General formula for geometric sequence is:

$a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio$

Putting the values of a1 and r

$a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}$

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

7 0

3 years ago

Round 76070.7376413 to 2 decimal places

lakkis [162]

<h3>Answer:</h3><h2>76,070.74</h2><h3>Step-by-step explanation:</h3>

When you round decimals, your looking at the place value, then your looking at the place value next to it.

<u>If you see a number that is 0 - 4 behind the place value your rounding to, you do nothing to the place value.</u>

<u>If you see a number that is 5 - 9 behind the place value your rounding to, you add one to the place value.</u>

<h3><u>Example 1:</u></h3>

Round the Number 71.25 to the <u>Tenths place.</u>

<u>When we go to the place value, Tenths, we go behind the Tenths place value:</u>

71.<em>2</em><u>5</u>

<u>2 is the Tenths place value, 5 is the place value behind the Tenths place value.</u>

<u>Since 5 is able to be rounded up, you add one to the tenths place.</u>

<u>It should be rounded to 71.3. There cannot be numbers where you've rounded, just zeroes.</u>

<h3><u>Example 2:</u></h3>

Round the Number <u>3,345.8493</u> to the <u>Thousands place.</u>

3 is the Thousands place, 3 is the place value behind the Thousands place value.

3 is not in between 5 - 9. So, the rounded answer is 3,000.

When numbers behind the Place Value cannot round the Thousands place value, it turns into zeroes too.

Answer:

Round 76070.7376413 to the Hundredths place value.

The 3 is the Hundredths place value, the 7 is the place value behind the Hundredths place value.

7 qualifies for the numbers 5 - 9.

Therefore, you add 1 to the hundredths place value.

Your final answer is (76,070.74)

Best of Luck to you.

If you have any questions, feel free to comment below.

Merry Christmas!

8 0

3 years ago

Help!<br> Algebraic Relationship <br> y= x/4-1

loris [4]

32, 7

0, - 1

20, 4

You just plug in the numbers and solve

3 0

2 years ago