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alexandr402 [8]
3 years ago
7

1. HEIGHT Eduardo is 6 feet tall and casts

Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0

Answer:

5.5

Step-by-step explanation:

6 feet =12

6 feet = 6x2

11 feet shadow 11/2

answer=5.5

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30%of 68 = 30/100*68= 3*68/10=204/10=20.4
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Find the area of each figure. round to the nearest tenth if necessary.
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Answer:

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Step-by-step explanation:

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3 years ago
The nth term of a sequence is 3n²-1
Anarel [89]

Answer: The number is 26.

Step-by-step explanation:

We know that:

The nth term of a sequence is 3n²-1

The nth term of a different sequence is 30–n²

We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.

we get:

3n²- 1 =  30–m²

Notice that as n increases, the terms of the first sequence also increase.

And as n increases, the terms of the second sequence decrease.

One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.

if m = 1, then:

3n²- 1 =  30–1²

3n²- 1 = 29

3n² = 30

n² = 30/3 = 10

n² = 10

There is no integer n such that n² = 10

now let's try with m = 2, then:

3n²- 1 =  30–2² = 30 - 4

3n²- 1 = 26

3n² = 26 + 1 = 27

n² = 27/3 = 9

n² = 9

n = √9 = 3

So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.

the number is:

3*(3)² - 1 = 26

30 - 2² = 26

The number that belongs to both sequences is 26.

6 0
3 years ago
Please answer this https://brainly.com/question/24071218
Dennis_Churaev [7]

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its not question. You can ask questions from your book not your brain....

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Number 11 please , someone? Thank you .
KIM [24]
In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.

Also, in a triangle, the sum of the measures of the interior angles is 180.

We can now calculate the measures of the three angles by writing and solving an equation.

m<A + m<B + m<C = 180

9x - 7 + 7x - 9 + 28 - 2x = 180

Collect like terms on the left side.

9x + 7x - 2x - 7 - 9 + 28 = 180

14x + 12 = 180

Subtract 12 from both sides.

14x = 168

x = 12

Now that we know x, we can find the measure of each angle.

m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
m<B = 7x - 9 = 7(12) - 9 = 84 - 9 = 75
m<C = 28 - 2x = 28 - 2(12) = 28 - 24 = 4

(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)

Now that we know the angle measures, the opposite sides are in the same order of size.

AB < AC < BC

The sides are, in increasing order of length:

AB, AC, BC
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