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Lapatulllka [165]
3 years ago
6

Can someone help me solve this?​

Mathematics
1 answer:
lord [1]3 years ago
6 0

Step-by-step explanation:

sin \: 60 \degree =  \frac{27}{k}  \\  \\  \therefore \:  \frac{ \sqrt{3} }{2}  =  \frac{27}{k}  \\  \\  \therefore \: k =  \frac{2 }{\sqrt{3} } \times 27 \\  \\ \therefore \: k =  \frac{2  \times  \sqrt{3} }{\sqrt{3} \times  \sqrt{3}  } \times 27 \\  \\ \therefore \: k =  \frac{2   \sqrt{3} }{3  } \times 27 \\  \\ \therefore \: k = 2   \sqrt{3} \times 9 \\  \\ \therefore \: k = 18   \sqrt{3} \\  \\ \therefore \: k = 18    \times 1.732 \\  \\ \therefore \: k = 31.176 \\  \huge \red{ \boxed{ \therefore \: k \approx \: 31.18 }}\\  \\ tan \: 60 \degree =  \frac{27}{j}  \\  \\  \therefore \:  \sqrt{3} =  \frac{27}{j}  \\  \\ \therefore \: j =  \frac{27}{ \sqrt{3} }  = \frac{27 \sqrt{3} }{3}  = 9 \sqrt{3}  \\ \therefore \: j =9 \times 1.732 \\ \therefore \: j =15.588 \\ \huge \orange{ \boxed{ \therefore \: j \approx 15.59}}

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On Decemeber 18th, there is a 75% chance that Santa will come to the mall that day and a 55% chance that your best friend will b
goblinko [34]

Answer:

<u>The probability that Santa will come to the mall OR your best friend will be there is 47.4%</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability that Santa will come to the mall on December 18th = 75%

Probability that your best friend will be at the mall on December 18th = 55%

Probability that Santa will come to the mall on December 18th AND your best friend will be there = 75% * 55% = 41.3% not just 40%

2.  What is the probability that Santa will come to the mall OR your best friend will be there?

For answering this question, we should calculate first the probability that Santa will not come to the mall on December 18th AND your best friend will not be there, this way:

Probability that Santa will not come to the mall on December 18th AND your best friend will not be there = 25% * 45% = 11.3%

Now, we know that the probability that Santa will come to the mall on December 18th AND your best friend will be there is 41.3% and the probability that Santa will not come to the mall on December 18th AND your best friend will not be there is 11.3%.

Therefore,  the probability that Santa will come to the mall OR your best friend will be there is:

100% - 41.3% - 11.3% = 100% - 52.6% = 47.4%

<u>The probability that Santa will come to the mall OR your best friend will be there is 47.4%</u>

5 0
3 years ago
5 less than 3 times a number is 7. Write an equation.
FrozenT [24]
3n-5=7


The three times a number goes first because there is the “less than” phrase.
3 0
3 years ago
1. Ms. Procter was running at a speed of 9 minutes per mile. How long would it take her to
nikklg [1K]

Answer:

144

Step-by-step explanation:

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3 years ago
Ask Your Teacher The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials t
SCORPION-xisa [38]

Answer:  

a)  28,662 cm²  max error

    0,0111     relative error

b) 102,692 cm³  max error

   0,004     relative error

   

Step-by-step explanation:

Length of cicumference is: 90 cm

L = 2*π*r

Applying differentiation on both sides f the equation

dL  =  2*π* dr    ⇒  dr = 0,5 / 2*π

dr =  1/4π

The equation for the volume of the sphere is  

V(s) =  4/3*π*r³     and for the surface area is

S(s) = 4*π*r²

Differentiating

a) dS(s)  =  4*2*π*r* dr    ⇒  where  2*π*r = L = 90

Then    

dS(s)  =  4*90 (1/4*π)

dS(s) = 28.662 cm²   ( Maximum error since dr = (1/4π) is maximum error

For relative error

DS´(s)  =  (90/π) / 4*π*r²

DS´(s)  = 90 / 4*π*(L/2*π)²      ⇒   DS(s)  = 2 /180

DS´(s) = 0,0111 cm²

b) V(s) = 4/3*π*r³

Differentiating we get:

DV(s) =  4*π*r² dr

Maximum error

DV(s) =  4*π*r² ( 1/  4*π*)   ⇒  DV(s) = (90)² / 8*π²

DV(s)  =  102,692 cm³   max error

Relative error

DV´(v) =  (90)² / 8*π²/ 4/3*π*r³

DV´(v) = 1/240

DV´(v) =  0,004

3 0
3 years ago
Read 2 more answers
The volume of a cylinder is 400x cm. The radius of the base of the cylinder is 4 cm. What is the height of the cylinder
irina1246 [14]

Answer: 8cm

Step-by-step explanation:

V=\pi r^2h

Solve for h;

h=\frac{V}{\pi r^2}

h=\frac{400cm^3}{(3.14)(4cm)^2}

h=7.96\\h=8

3 0
3 years ago
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