Answer:
<u>169 sq. cm.</u>
Step-by-step explanation:
<u>Surface Area</u>
- SA (base) + SA (2 sides) + SA (2 faces)
- 9 × 5 + 2 × 7 × 5 + 1/2 × 2 × 6 × 9
- 45 + 70 + 54
- <u>169 sq. cm.</u>
Sample space is the set of possible outcomes of an experiment.
1. <span>Tossing a coin three times
There are possible outcomes.
Tossing the coin for the first time it can be a haid (H) or a tail (T). So, we can have this outcomes:
HHH
HHT
HTH
THH
TTH
THT
TTT
total: 6 outcomes
2. </span><span>The order that the top 5 students will receive their diplomas.
Here we need to find the number of permutations: 5!=5*4*3*2*1=120
3. </span><span>Tossing a pair of dice
The possible outcomes are the following: (a,b), where a is the first dice and b is the second dice
</span>(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)(6,1)(6,2)(6,3)(6,4)(6,5)(6,6) , total 36 possible outcomes.
Jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:

Step-by-step explanation:
step 1
Plot the vertices of the polygon to better understand the problem
we have

using a graphing tool
The polygon is a pentagon (the number of sides is 5)
see the attached figure
The perimeter is equal to

the formula to calculate the distance between two points is equal to

step 2
<em>Find the distance AB</em>

substitute in the formula



step 3
<em>Find the distance BC</em>

substitute in the formula



step 4
<em>Find the distance CD</em>

substitute in the formula



step 5
<em>Find the distance DE</em>

substitute in the formula




step 6
<em>Find the distance AE</em>

substitute in the formula




step 7
Find the perimeter

substitute the values

Round to the nearest tenth of a unit

Answer:
The first one: the error was that the 3 shouldn’t have been moved but the 5 should have. The correct answer is k=-8
The second one: the error was that they added the 6 and 4, you would only get -10 if the 4 was - the correct answer is -2
You can check your answer by plugging in your answer to the variable and making sure both side equal each other
Step-by-step explanation:
The first one: the 5 should be - from both side so you get k=-8
The second one: the 4 should be + to both sides. And the -6 and +4 should be added together to get n=-2
Remember you always want to get the variables by themselves.
Sorry that was a lot. Hope it helps!