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kow [346]
2 years ago
9

3) Consider a triangle with side lengths 5 and 13. What are the possibilities for the third side if the

Mathematics
2 answers:
mars1129 [50]2 years ago
7 0

Answer:

find the square of both numbers

13²=169

5²=25

minus the square

169-25 to get 144

find the square root of 144

✓144=12 the third side is 12

max2010maxim [7]2 years ago
7 0
I think you already got the answer so im just gonna do this for points
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[10 Points, Algebra 2-simplifying complex fractions]
IrinaK [193]
The restrictions are what the denominator can not be. The denominator cannot be zero. So if the denominator has x+1 in it. If you put -1 in place of x. You would get zero. -1 is a restriction
6 0
3 years ago
students were grouped into 4 classrooms with an average of 33.5 students per classroom. if the students were regrouped into 5 cl
erma4kov [3.2K]

Answer:

26.8

Step-by-step explanation:

Because 33.5 was the average of how many students were in a classroom (if there were 4 classrooms), then 33.5 is can somewhat be the average of how many students were in one classroom; 1/4 of the classrooms can hold an average of 33.5.

Total students that were divided into 4 classrooms :

33.5 × 4 = 134

So if there is 134 students that will be grouped into 5 different classrooms, divide 134 by 5 to find the average amount of students that will be grouped.

134 ÷ 5 = 26.8

So, the average amount of students that will be grouped if they were divided into 5 classrooms would be 26.8 .

Hope this helped !

4 0
2 years ago
Ms. Robinson gave her class 12 minutes to read. Carrie read 5 ½ pages in that time. At what rate, in pages per hour, did Carrie
9966 [12]

Answer:

27.5 pages read per hour

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The distribution of number of hours worked by volunteers last year at a large hospital is approximately normal with mean 80 and
wariber [46]

Answer:

E 0.923

Step-by-step explanation:

The Z score is a measurement used in statistics to determine the relationship between a value and a mean of a group of values measured as standard deviation from the mean. The z score (z) is given as:

z=\frac{x-\mu}{\sigma}, Where μ is the mean, σ is the standard deviation and x is the value.

Given that:

σ = 7, μ = 80 and x = 90  

z=\frac{x-\mu}{\sigma}=\frac{90-80}{7} =1.43

From the normal distribution table, P(X < 90) = P(z < 1.43) = 0.923

7 0
3 years ago
Elimination
SVETLANKA909090 [29]
2x -  4y + 1z = 11 ⇒ 2x - 4y + 1z = 11
1x + 2y + 3z = 9   ⇒ <u>1x + 2y + 3z = 9</u>
3x         + 5z = 12       1x - 2y - 2z = 2
                                                                     1x -  2y - 2z = 2
2x -  4y + 1z = 11                                        <u>-2x + 2y - 2z = -3</u>
1x + 2y + 3z = 9   ⇒ 1x + 2y + 3z = 9                    x - 4z = 1
3x         + 5z = 12 ⇒ <u>3x         + 5z = 12</u>          x - 4z + 4z = 1 + 4z
                                 -2x + 2y - 2z = -3                         x = 1 + 4z
                                                     <u />          1 + 4z - 2y - 2z = 2<u />
                                                               1 - 2y + 4z - 2z = 2
                                                                      1 - 2y + 2z = 2
                                                                    <u>- 1                 - 1</u>   
                                                                          -2y + 2z = 1
                                                                   -2y + 2z - 2z = 1 - 2z
                                                                                  <u>-2y</u> = <u>1 - 2z</u>
                                                                                   -2        -2
                                                                                     y = -0.5 + z
                                                         x + 2(-0.5 + z) - 2z = 2
                                                            x - 1 + z - 2z + 2 = 2
                                                                         x - 1 + z = 2
                                                                         <u>  + 1       + 1</u>
                                                                              x + z = 3
                                                                         x - x + z = 3 - x
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<u />
4 0
3 years ago
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