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AURORKA [14]
3 years ago
7

*trigonometry and area.*

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0

Answer:

<u>The correct answer is that the area of the regular octagon is 309 cm²</u>

Step-by-step explanation:

There are several formulas for calculating the area of a regular octagon. We will use this one for solving this question because it does not require additional information .

Area = (2 * s²)/tan 22,5°

s = 8 cm

Replacing with the real values, we have:

Area = (2 * 8²)/tan 22,5°

Area = 2 * 64/0.4142

Area = 128/0.4142

<u>Area = 309 cm² (Rounding to the nearest tenth)</u>

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Mrs. Blanda's truck holds 19.7 gallons of gas. She used 4 full tanks fo gas last month and paid $3 for each gallon. How much did
Yakvenalex [24]

Answer:

$236.40

Step-by-step explanation:

Mrs. Blanda's truck holds 19.7 gallons of gas. She used 4 full tanks of gas last month.

1 full tank  holds 19.7 gallons of gas

4 full tank hold 4*19.7 gallons of gas

4 full tank = 78.8 gallons of gas used last month

She paid $3 for each gallon

We need to find the amount she paid for 78.8 gallons

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Mrs. Blanda spend on gas last month = $236.40

8 0
3 years ago
Name of the period that has the digit 913
enyata [817]
It would be 9.13 since u would have to make it a decimal
6 0
3 years ago
Which place is the better but
lawyer [7]

Answer:

Stop and Save

Step-by-step explanation:

Find the cost of one apple in each place.

<u>Quick Market</u>:

Divide the total cost with the amount of apples:

1.08/3 = 0.36

The cost for one apple in <em>quick market </em>is $0.36

<u>Stop and Save</u>:

Divide the total cost with the amount of apples:

1.10/5 = 0.22

The cost for one apple in <em>Stop and Save</em> is $0.22

-----------------------------------------------------------------------------------------

$0.22 < $0.36 ∴ <em>Stop and Save</em><em> </em>is cheaper than Quickmarket by $0.14, making Stop and Save your answer.

~

3 0
3 years ago
Read 2 more answers
Sum to n terms the series 7 +77 +777​
julia-pushkina [17]

Answer:

Step-by-step explanation:

=7 (1+11+111+1111......n)

=7/9 (9+99+999+9999....n)

=7/9 ((10-1)+(10^2-1)+(10^3-1)+....n)

=7/9 ((10+10^2+10^3...n)-(1+1+1+1.....n))

=7/9 ((10 (10^n-1)/(10-1))-n)

4 0
3 years ago
Recall that m(t) = (1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500g sample of phosphorus-32 decays
katrin2010 [14]

The question is incomplete, here is the complete question:

Recall that m(t) = m.(1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500 g sample of phosphorus-32 decays to 356 g over 7 days. Calculate the half life of the sample.

<u>Answer:</u> The half life of the sample of phosphorus-32 is 14.28days^{-1}

<u>Step-by-step explanation:</u>

The equation used to calculate the half life of the sample is given as:

m(t)=m_o(1/2)^{t/h}

where,

m(t) =  amount of sample after time 't' = 356 g

m_o = initial amount of the sample = 500 g

t = time period = 7 days

h = half life of the sample = ?

Putting values in above equation, we get:

356=500\times (\frac{1}{2})^{7/h}\\\\h=14.28days^{-1}

Hence, the half life of the sample of phosphorus-32 is 14.28days^{-1}

7 0
3 years ago
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