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Blababa [14]
2 years ago
12

What is the lateral area of this regular octagonal pyramid? 84.9 cm² 120 cm² 169.7 cm² 207.8 cm²

Mathematics
2 answers:
ahrayia [7]2 years ago
3 0
Like jdoe0001 answered with 8[1/2(5)(68[ \frac{1}{2} (5)(6 \sqrt{2} )] if you solve the equation he/she gave you then you get 167.70562748. so your answer will be 167.7 cm^2
Lesechka [4]2 years ago
3 0
Check the picture below.

the lateral area, namely the area of the sides, in this case will be the area of all the triangular faces of the OCTAgonal pyramid, OCTA=8, so there are 8 of them.

now, each triangular face, has a base of 5 and a height of 6√2, so we simply get the area of each triangle and sum them up,

\bf \stackrel{\textit{area of the 8 triangles}}{8\left[ \cfrac{1}{2}(5)(6\sqrt{2}) \right]}


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The population of Rock Springs is growing at a constant rate. The expression represents the increase in population in x years.
irakobra [83]

The function is given by

y=45,200 + 1,900x

and is of the form y = mx+b , where m is the rate of change and b is the fixed value ( or we can say initial value)

Now when we compare we get m = 1,900 for our problem .

So the population increases every year by 1,900.

3 0
2 years ago
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Mary bought a paid of jeans and a sweater.The pair of jeans costs $30 and the sweater costs $35 .If sales tax is 6% ,how much di
ella [17]

$30 + $35 = $65

Assuming tax is on whole sale not each item:
$65 * 0.06 (6%) = $3.90 (6% of $65)

$65 + $3.90 = $68.90 ($65 + 6%)

OR

You could combine both of these steps and just use this working:
$65 * 1.06 (106%) = $68.90 (106% of $65)


4 0
2 years ago
At a high school, students can choose between three art electives, four history electives, and five computer electives. Each stu
dangina [55]
If one is to choose among given choices and the order is not important, we use the concept of combination. First, we calculate for the sample space or number available since there is a total number of 12 electives and a student may choose 2 out of them.                           
S = 12C2
That is "the sample space is equal to combination of 12 taken 2". The answer to this is equal to 66. 

Next, we determine the number of outcomes. The equation will be,
                        O = (5C1) x (3C1) 
That is "outcome is equal to combination of 5 taken 1 times combination of 3 taken 1". This is equal to 15. The probability is equal to,
                        P = O/S

Substituting,
                        P = (15/66) = 0.227270
The answer to this item is the third choice. 
6 0
2 years ago
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What is the value of 3 in 8,531,980,112.45
Neko [114]

Answer:

30,000,000

Step-by-step explanation:

You are given the number 8,531,980,112.45.

Look at attached place value chart.

If we go to the left from decimal point, then we have

  • ones;
  • tens;
  • hundreds;
  • thousands;
  • ten thousands;
  • hundred thousands;
  • millions;
  • ten millions;
  • and so on.

Digit 3 in the number  8,5 <u>3</u> 1,980,112.45 is on ten millions position, so the value of this digit is 30,000,000

6 0
2 years ago
Find the magnitude of wx for w(-3 5 4) and x(9 5 3)
Hatshy [7]

Answer:  Magnitude of wx is \sqrt{145}

Step-by-step explanation:

Since we have given that

w(-3,5,4)=-3\hat{i}+5\hat{j}+4\hat{k}\\\\x(9,5,3)=9\hat{i}+5\hat{j}+3\hat{k}

Now, first we will find 'wx':

wx=Initial-Final\\\\wx=(9+3)\hat{i}+(5-5)\hat{j}+(3-4)\hat{k}\\\\wx=12\hat{i}-1\hat{k}

We need to find the "magnitude":

\mid wx\mid=\sqrt{12^2+1^2}=\sqrt{144+1}=\sqrt{145}

Hence, Magnitude of wx is \sqrt{145}

3 0
2 years ago
Read 2 more answers
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