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wel
3 years ago
11

Geometry math question no Guessing and Please show work thank you

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

In a triangle ,

sum of two sides>third side

let us check for each option one by one

Option A:

{4,7,9}

4+7>9, 11>9 (true)

4+9>7, 13>7 (true)

9+7>4, 16>4 (true)

so it represents sides of triangle

Option B:

{9,10,11}

9+10>11, 19>11 (true)

10+11>9, 21>9 (true)

9+11 >10, 20>10 (true)

so it represents sides of triangle

Option C:

{4,8,12}

4+8>12, 12 >12 ( false)

so this does not represent sides of triangle

Answer is option C {4,8,12}

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In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

8 0
3 years ago
!Help !
svetoff [14.1K]

Answer:

50 minutes

Step-by-step explanation:

she spent 1 hr and 30 minutes on homework

she spends 2/3 of an hour on the phone = 40 minutes

1 hr 30 min + 40 minutes = 2 hrs and 10 min

so she had 50 minutes to kill before bedtime since she goes to sleep 3 hrs after dinner

2hr 10 min + 50 min = 3 hrs.

8 0
3 years ago
Solve the equation for me<br> 9y=8(y+11)
IrinaVladis [17]
To start, first distribute 8 to (y+11) which would look something like this:
9y=8y+88
Now, subtract 8y from both sides in order to solve for and isolate the y value. This would result in your answer, y=88.
7 0
3 years ago
Read 2 more answers
Find the tan A and sin B exactly.
Rudik [331]

Answer:

  • B - tan A = 4/3, sin B = 3/5

Step-by-step explanation:

<u>First, lets find the length of the third side</u>

  • b = √15² - 12² = √225 - 144 = √81 = 9

<u>Now, lets get Tan A and Sin B</u>

  • Tan A = 12/9 = 4/3
  • Sin B = 9/15= 3/5

Correct option is B

5 0
3 years ago
Warm-Up
Sveta_85 [38]

Answer:

Graph # 3

Step-by-step explanation:

-2x + 5y > 15               Let x  = 0  solve for y

 -2(0) + 5y = 15             change the > to an =

     5y = 15

      y =3     Point (0, 5) is on the graph

 Graph # 3 is correct because the y-intercept  is 5  

    x          y

    0          3                    -2(0) + 5y = 15;     5y = 15

    5          5                  -2(5) + 5y = 15;    -10 + 5y = 15;  5y = 25; y = 5

    10         7                   -2(10) + 5y = 15; -20 + 5y = 15; 5y = 35; y = 7

   The graph > the line is dotted and you will shade above the line

4 0
2 years ago
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