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Neko [114]
3 years ago
7

Determine if a triangle can be formed with the given lengths. If it can, classify it as acute,

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0

Answer:

steps below

Step-by-step explanation:

1. It can be formed a triangle: sum of any two sides is greater than the 3rd side

2. It can't be an obtuse triangle: 5² + 7² = 74 < 10²

   the triangle is an obtuse-angled triangle if  the square of the longest side (c²) is greater than the sum of the square of other two sides (c²>a²+b²)

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Given the recursive formula find the first 4 terms for each. (not multiple choice) (MAFS.912.F-BF.1.3) A. An=an-1 3 when a1=5 B.
Neko [114]

Answer:

<h3>See explanations below</h3>

Step-by-step explanation:

1) Given the recursive function An=an-1 + 3 when a1 = 5, we are  to find the first four terms;

First term a1 = 5

a2 = a1 +3

a2 = 5 + 3

a2 = 8

a3 = a2 + 3

a3 = 8+3

a3 = 11

a4 = a3 + 3

a4 = 11 + 3

a4 = 14

<em>The first four terms are 5, 8, 11 and 14</em>

<em></em>

<em>2) </em>For the recursive function  An=an-1 + 2/3 when a1 = 1

a2 = a1 + 2/3

a2 = 1 + 2/3

a2 = 5/3

a3 = a2 + 2/3

a3 = 5/3 + 2/3

a3 = 7/3

a4 = a3 + 2/3

a4 = 7/3 + 2/3

a4 = 9/3

a4 = 3

<em>Hence the first four terms of the sequence are 2/3, 5/3, 7/3, 3</em>

<em></em>

3) For the recursive function An=an-1 + 12 when a1=30

a2 = a1 + 12

a2 = 30 + 12

a2 = 42

a3 = a2 +12

a3 = 42 + 12

a3 = 54

a4 = a3 + 12

a4 = 54+12

a4 = 66

<em>Hence the first four terms of the sequence are 30, 42, 54, 66</em>

3 0
3 years ago
(3 pts)If 1 of the subjects is randomly selected, find the probability of selecting someone who was sentenced to prison or enter
saw5 [17]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

The missing data and a solution file is define in attached file please find it.

In point A:

Formula for sentenced to prison:

=\frac{\text{total of sentenced to prison}}{ \text{guilty}}

= \frac{880}{1324} \\\\= 0.66

In point B:

Formula for both prison:   Sentenced to Prison/Guilty

=\frac{\text{Sentenced to Prison}}{ \text{guilty}}

=\frac{370}{1185}\\\\=0.31

In point C:

Formula for: Sentenced to Prison and not Guilty

= \frac{\text{Sentenced to Prison and not Guilty}}{ \text{not guilty}} \\\\=\frac{74}{139}\\\\= 0.53

4 0
3 years ago
Find the distance between A(–3, 5) and B(4, 2), to the nearest hundredth.
sergij07 [2.7K]

Answer:

d=7.62

Step-by-step explanation:

Start with the distance formula:

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

Identify your values.

x_1=-3\\x_2=4\\y_1=5\\y_2=2

Substitute.

d=\sqrt{(4-(-3)^2+(2-5)^2}

The -3 becomes positive as it's being multiplied by a negative.

d=\sqrt{(4+3)^2+(2-5)^2}

Solve what is in parentheses.

d=\sqrt{(7)^2+(-3)^2}

Square what is in parentheses.

d=\sqrt{49+9}

Add.

d=\sqrt{58}

Find the square root (I usually do four digits after the decimal).

d=7.6157

Round to the nearest hundredth.

d=7.62

8 0
3 years ago
Can somebody do this <br><br> 6x²-x-2=0
dlinn [17]

Answer:

X= 1 + 7/12

x = 1 - 7/12

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
III.Write in detail
solong [7]

Answer:26 years old

Step-by-step explanation:

age of Athiyan = p years old

age of mugilan = p+6 years Algeraic statement

if p=20 then Mugilan age = 20+6

algebraic expression = P+6

4 0
3 years ago
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