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wlad13 [49]
2 years ago
9

What is the area of the acute triangle given below?

Mathematics
1 answer:
vova2212 [387]2 years ago
7 0
The answer should be B. 36 sq units hoped this helps :)
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The monthly sales (in thousands of units) of a seasonal product are approximated by
Elodia [21]
 <span>Don't forget S is measured in thousands of units so you are solving for : 

100 < 74.5 + 43.75Sin(πt/6) 
25.5 < 43.75Sin(πt/6) 
Sin(πt/6) >25.5/43.75 = 0.582857 
ASrcSin(πt/6) > 0.62224 radians 
πt/6 > 0.62224 
t > 6 x 0.62224/π = 1.1884 (4dp) 

This initial value occurs when the sine value is increasing and it will reach its maximum value of 1 when Sin(πt/6) = Sinπ/2, that is when t = 3. 
Consequently, monthly sales exceed 100,000 during the period between t = 1.1884 and 4.8116 
[3 - 1.1884 = 1.8116 so the other extreme occurs at 3 + 1.8116] 

Note : on the basis of these calculations, January is 0 ≤ t < 1 : February is 1 ≤ t < 2 :....May is 4 ≤ t < 5 
So the period when sales exceed 100,000 occurs between Feb 6 and May 25 and annually thereafter.</span>
3 0
3 years ago
What is the sum of 10/12and 11/12? Make sure to show all work to receive full credit!
sergiy2304 [10]

Answer:

1\frac{3}{4}

Step-by-step explanation:

\frac{10}{12} +\frac{11}{12} \\\\\frac{21}{12} \\\\1\frac{9}{12} \\\\1\frac{3}{4}

7 0
3 years ago
The daily profit P ​(in thousands of​ dollars) from the sale of televisions is a function of the number x of televisions sold ​(
scZoUnD [109]

Answer:

The break-even sales amounts​ is 36 or 224.

Step-by-step explanation:

Consider the provided function.

P= -5x^2 + 13x - 4

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts​.

the​ break-even sales amounts​ is the sales amounts that result in no profit or​ loss.

That means substitute P=0 and solve for x.

-5x^2 + 13x - 4=0

5x^2-13x+4=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=4, b=-13 and c=4 in above formula.

x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}

x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}

x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}

x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357

Therefore, the break-even sales amounts​ is 36 or 224.

7 0
3 years ago
A restaurant customer left ​$1.30 as a tip. The tax was 7% and the tip was 10​% of the after tax cost. Which information is not
ziro4ka [17]

Answer:

Step-by-step explanation:

Given that:

Tip left = $1.30

Tax = 7%

Tip = 10% of after tax cost

The tax percentage is not needed in calculating the bill after tax and tip

Hence,

Let after tax cost = x

10% of x = 1.30

0.1x = 1.30

x = $13

After tax cost = $13

Hence, the Total bill after tax = $13

3 0
3 years ago
A box of chocolates contains, on average, 12 pieces of chocolate. If the number of chocolates in each box never varies from the
marta [7]
The answer would be C. 36 
3 0
3 years ago
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