Find the volume of a pyramid with a square base, where the perimeter of the base is 16.9\text{ cm}16.9 cm and the height of the pyramid is 19.6\text{ cm}19.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer:

482 km

63.94 degrees

Step-by-step explanation:

to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.

Cosine rule states that

C = [tex]\sqrt{A^{2} + B^{2} -2AB cos(c) }[/tex]

where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060

solving now, we have

C = [tex]\sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60) }[/tex]

C = [tex]\sqrt{250000 + 90000 - [215000 cos(60) }][/tex]

C = [tex]\sqrt{340000 - [215000 * 0.5 }][/tex]

C = [tex]\sqrt{340000 - [107500 }][/tex]

C =[tex]\sqrt{232500}[/tex]

C = 482 km

The bearing can be gotten by using the Sine Rule.

[tex]\frac{sina}{A}[/tex] = [tex]\frac{sinc}{C}[/tex]

sina/500 = sin60/482

482 sina = 500 sin60

sina = [tex]\frac{500 sin60}{482}[/tex]

sina = 0.8983

a = sin^-1(0.8983)

a = 63.94 degrees

Answer:

Median = 44

Step-by-step explanation:

Arrange the data in ascending order:

36, 37, 40, 43, 44, 49, 50 , 51, 56.

Choose the number in the middle.

Median = 44

Answer:

B.) x + (x + 16) = 90

2x+16=90

2x=90-16

x=74/2

x=37

Answer:

909 and 3267

Step-by-step explanation:

There are a total of 24 possible combinations using these 4 digits. This means that any one of these combinations subtracted from 4310 would be a possible solution. Therefore, we can create the following 2 combinations (below in bold) and subtract them from 4310 to get two possible solutions...

4310 - 3401 = 909

4310 - 1043 = 3267

Finally, we have two possible solutions which would be 909 and 3267

Answer:

Her monthly rate per month is $12

Step-by-step explanation:

On the 0 month is what she already had in her bank account.

Also the months are going by 2's so it's going by $24 dollars every 2 months, so 24 divided by 2 is 12.

Answer:

5

Step-by-step explanation:

We can solve by solving for x

2x-6 + 1 + x-4 = 18

3x-9=18

3x=27

x=9

Plug in 9 for x in Segment RS and you get (9) - 4 = 5

Hope this Helps!

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Answer:

The answer is "Option b"

Step-by-step explanation:

Please find the complete question in the attached file.

In 2006:

Top coats= 297

Parkas= 210

Jackets =213

Raincoats=137

Trench coats =103

Total: [tex]297+210+213+137+103=960[/tex]  

In 2007:

Top coats =223

Parkas = 210

Jackets= 285

Raincoats = 259,

Trench coats =127

Total: [tex]223+210+285+259+127=1,104[/tex]

Calculating the percentage of the increasing total sales:

[tex]\to \frac{1,104-960}{960}\times 100=15\%[/tex]

Calculating the percentage of the increasing sales of the trench coats:  [tex]\to \frac{127-103}{103}\times 100 \approx 23.3\%[/tex]

Because [tex]23.3\%- 15\%=8.3\%[/tex] sales of the Trench coats increase by 8.3% point is faster than the total coat sales.

Answer:

B

Step-by-step explanation:

Answer:

B and E

Step-by-step explanation:

3^-8/3^-4 = 1/81 or .01234567...

I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.

3^-12 = 1/531441 <- not the answer

3^-4 = 1/81 <- answer!

3^2 = 9

1/3^2 = 1/9

1/3^4 = 1/81

1/3^12 = 1/531441

its also good to remember

3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.

Hope this helps!

[tex]B. \: {3}^{ - 4} \:✅\\ \\ E. \: \: \frac{1}{ {3}^{4} }\:✅ [/tex]

Step-by-step explanation:

[tex] \frac{ {3}^{ - 8} }{ {3}^{ - 4} } \\ \\ we \: know \: that \: \: \: \frac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{m - n} \\ \\= {3}^{ - 8 - ( - 4)} \\ \\ = {3}^{ - 8 + 4} \: ( \: ∵\: - \times - = + ) \\ \\ = {3}^{ - 4} \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^{4} } \\ \\( \: ∵\: {a}^{ - m} = \frac{1}{ {a}^{m} } \: ) \\\: [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

0.8 is the probability that a single detection system will detect a missile attack.

Step-by-step explanation:

Answer: the 23rd term of the arithmetic sequence=91

Step-by-step explanation:

The nth term of an arithmetic sequence is given as

an=a+  (n-1) d

Given common difference , d=4 and

first term is a^1 = 3.

We have that

a₂₃=3+  (23-1) 4

a₂₃=3+  (22) 4

a₂₃=3+  88

a₂₃=91

the 23rd term of the arithmetic sequence=91

Answer:

the equation is 2(l+w) so we do 2(93+w)=344 getting the answer of 79

Step-by-step explanation:

i think im 100 percent correct i took the test on flvs if I'm wrong just let me know

[tex] \large{ \tt{❃ \: SOLUTION}} : [/tex]

[tex] \underline{ \large{\tt{❁ \: USING \: TWO - POINT \: FORM \: OF \: EQUATION \: OF \: LINE : }}}[/tex]

[tex] \boxed{ \large{ \tt{❈ \: y - y_{1} = \frac{y_{2} - y _{1}}{x_{2} - x_{1}} (x - x_{1})}}}[/tex]

[tex] \large{ \tt{↦y - ( - 1) = \frac{12 - ( - 1)}{ - 7 - ( - 7)} \{x - ( - 7) \}}} [/tex]

[tex] \large{ \tt{↦y + 1 = \frac{12 + 1}{ - 7 + 7}(x + 7)} }[/tex]

[tex] \large \tt \:↦ \: y + 1 = \frac{12}{0} (x + 7)[/tex]

[tex] \large{ \tt{↦ \: y + 1 = 12(x + 7)}}[/tex]

[tex] \large{ \tt{↦y + 1 = 12x + 96}}[/tex]

[tex] \large{ \tt{↦ \: 12x + 96 = y + 1}}[/tex]

[tex] \large{ \tt{↦ \: 12x - y + 96 - 1 = 0}}[/tex]

[tex] \large{ \boxed{ \tt↦12x - y + 95 = 0}}[/tex]

✺ STUDY HARD ! No matter if it seems impossible , no matter if it takes time , no matter if you have to wake up all night , Just remember that the feeling of success is the best thing in the entire world. ♪

۵Hope I helped ! ツ

☼Have a wonderful day / evening ! ☃

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Answer:

no lo entiendo lo que escribiste

Answer:

1.5(x+y)/z

2. 7(x+y)-5/3z

3.1/2(x+y)-5

4. 3x-4y/7z

Answer:

[tex] = \frac{ - 8 - 1 - 3}{3} \\ = \frac{ - 12}{3} \\ = - 4[/tex]

Answer:

No

Step-by-step explanation:

We can use the Pytaghorean theorem to verify it

4.4^2 + 5.5^2 = 6.6^2

19.36 + 30.25 = 43.56

49.61 = 43.56 (false)

Answer:

There are many answers

Step-by-step explanation:

393 + 1 = 394

392 + 2 = 394

391 + 3 = 394

And so forth...

Hope this helps :)

Answer:

See I don't know the Answer but I Need points to ask question so Sorry

Step-by-step explanation:

Answer:

(A). y = ( x - 3 ) ( x + 4 )

Step-by-step explanation:

Answer:

The first number between 100 & 300 divisible by 13 is 104

Step-by-step explanation:

Answer:

Total income= $100

Step-by-step explanation:

Giving the following information:

Hourly rate=$10

To calculate the total income, we need to use the following formula:

Total income= hourly income*number of hours

For example, for 10 hours shoveling in a week:

Total income= 10*10

Total income= $100

Answer:

(-2,13;-0,02)

and

(-9,87;-0,02)

Answer:

Part A: 1

Part B: -4

Step-by-step explanation:

In a coordinate [tex](x,y)[/tex], the x-coordinate represents the input of a function and the y-coordinate represents the output.

Part A:

We're looking for the point the line passes through with an x-coordinate (input) of -3. This point is (-3,1) and therefore the output is 1 when the input is -3.

Part B:

We're looking for the point the line passes through with a y-coordinate (output) of 2. This point is (-4,2) and therefore an input of -4 yields an output of 2.

Answer:

A) 1

B -4

well, need to write at least 20 characters... have a nice day :)

Answer:

26

Step-by-step explanation:

2(9)-(-3)+5

2(9)+3+5

18+8

26

Answer:

 26

Step-by-step explanation:

2x^2 -x+5

x=-3

2(-3)^2 -(-3)+5

2(9)-(-3)+5

18-(-3)+5

negative multiplied by negative is positive so you have

18+3+5= 26

Have a nice day :)

Answer:

Step-by-step explanation:

From the given question, the following statements and reasons can be matched;

          Statement                                                Reason

1. <1 and <2 are linear pair                               Given

2. <1 and <2 are supplementary                     Linear pair postulate

3. <1 ≅ <2                                                          

4. <1 ≈ <2                                                           Given

5. m<1 = m<2                                                     Substitution POE

6. m<1 + m<2 = [tex]180^{o}[/tex]                                          Def of supplementary angles

7. 2(m<1) = [tex]180^{o}[/tex]                                                  Simplify/ Combine like terms

8. m<1 = [tex]90^{o}[/tex]                                                        Definition of right angle

9. 2(m<2) = [tex]180^{o}[/tex]                                        

10. g ⊥ h                                                             Def of perpendicular lines

Answer:

-7

Step-by-step explanation:

Domain is simply another way of saying input values. Input values are literally just x values (Any place on the x bar. Range is the same but instead of x values it is for y values.

Answer:

yes , it is a right triangle.

Step-by-step explanation:

according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.

Here , 65 is largest side so it is hypotenuse and other two sides are the legs of the triangle.

pythagoras theorem:

a^2 + b^2 = c^2

16^2 + 63^2 = 65^2

256 + 3969 = 4225

4225 = 4225

since both sides are equal it can be concluded that the given side lengths d forms a right triangle.

Answer:

r=6.1cm

volume=1/3πr^2

=1/3×22/7×6.1^2

=818.62/21

=38.98cm^3