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AlekseyPX
2 years ago
10

67 to the square root of 78

Mathematics
2 answers:
Leni [432]2 years ago
5 0
1.34 is your answer @Pineappleisboss

galben [10]2 years ago
5 0
67 \sqrt{78}  = 591.72797804397
 

Rounded to 590 
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PLZZZZZ NEED HELP!!!!!!
mylen [45]

Remember the rules of Sohcahtoa (Sine, cosine, tangent). For this problem we take the cosine of 38 because the labeled sides are the adjacent leg and the hypotenuse.

Cos(38)=79/x

Cosine of 38 is about 0.7880

0.7880=79/x

Next we multiply both sides by the denominator

(x) 0.7880=79 (x)

Then divide.

<u>0.7880x</u>= <u>79</u>

0.7880 0.7880

X=100.25

Hope this helped :)

5 0
2 years ago
-5/2 x (3x + 4) &lt; 6x - 3x<br> Please show work
Pie

Answer:

x >  -  \frac{20}{21}

Step-by-step explanation:

-5/2 × (3x + 4) < 6x - 3x

-15/2x - 10 < 3x

-15x - 20 < 6x

-15x - 6x < 20

-21x < 20

<u>x</u><u> </u><u>></u><u> </u><u>-</u><u>2</u><u>0</u><u>/</u><u>2</u><u>1</u>

8 0
2 years ago
Read 2 more answers
Celeste hiked 1.8 miles in 0.75 hours.What is her average rate of speed?​
Ilya [14]

Answer:

average speed of hiker is 2.4 mph

Step-by-step explanation:

here is the solution : -

=》

speed =  \frac{distance}{time}

=》

speed =  \frac{1.8}{0.75}

=》

speed = 2.4

average speed of hiker is 2.4 miles per hour

5 0
2 years ago
A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the rate of 2 millimeters per sec
hoa [83]

Answer:

V = πr²h

S=2πrh

h= 2/3 millimeters

new height= 8/3 millimeters

S= 8π  millimeters square

New surface area = 32π  millimeters square

Step-by-step explanation:

The volume of the cylinder is given by V = πr²h   where r is the radius and h is the height.

The surface area of the cylinder is given by  S= 2πrh + 2πr²

Where πr² gives the area of the base and 2πr² gives the area of the top and bottom surfaces. The surface area S of a cylinder, not including the top and bottom of the cylinder, is therefore S=2πrh.

V = πr²h

96π= π (6*6) (h+2)

96 = 36 (h+2)

96/36= h+2

h= 96/36-2

h= 96-72/36

h= 24/36

h= 4/6

h= 2/3 millimeters

New height

h + 2= 2/3 + 2

= 2+6/3= 8/3 millimeters

Now S =2πrh

S = 2π(6) (2/3)

S= 8π  millimeters square

New Surface area

S = 2π(6) (8/3)

S= 32π  millimeters square

6 0
2 years ago
A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is
Luba_88 [7]

Answer:

P(t) = 100e^{0.0251t}

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

P(t) = P(0)e^{kt}

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that P(0) = 100. So

P(t) = 100e^{kt}

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that P(60) = 450, and we use this to find k. So

450 = 100e^{60k}

e^{60k} = 4.5

\ln{e^{60k}} = \ln{4.5}

60k = \ln{4.5}

k = \frac{\ln{4.5}}{60}

k = 0.0251

So

P(t) = 100e^{0.0251t}

Doubling time:

This is t for which P(t) = 2P(0) = 200. So

200 = 100e^{0.0251t}

e^{0.0251t} = 2

\ln{e^{0.0251t}} = \ln{2}

0.0251t = \ln{2}

t = \frac{\ln{2}}{0.0251}

t = 27.65

The doubling time is of 27.65 minutes.

7 0
3 years ago
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