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Crank
3 years ago
11

PLEASE ANSWER ITS DUE IN 10 MINUTE

Mathematics
1 answer:
Amanda [17]3 years ago
3 0

Answer:

The Sun warms our seas, stirs our atmosphere , generates our weather patterns, and gives energy to the growing green plants that provide the food and oxygen for life on Earth.

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Mr. Aydlett is on an island 2 miles offshore and wishes to reach a coastal village 6 miles down a straight shoreline from the po
eimsori [14]

Answer:t=2.11 hr

Step-by-step explanation:

Given

Aydlett is 2 miles offshore and village is 6 miles down a straight line from the Point on the shore nearest the island

Person can row boat at 2 mph in water and can walk 5 mph in land

Let us suppose Person land the boat at a x miles  from Point on the shore

thus time taken by him to reach

t_1=\frac{\sqrt{x^2+2^2}}{2}

Time taken person to reach village by land is

t_2=\frac{6-x}{5}

total time=\frac{\sqrt{x^2+2^2}}{2}+\frac{6-x}{5}

we need the time to be least so differentiate t w.r.t to x

\frac{\mathrm{d} t}{\mathrm{d} x}=\frac{2x}{2\cdot 2\cdot \sqrt{4+x^2}}-\frac{1}{5}

Equating Above term to zero to get minimum time

\frac{x}{2\sqrt{4+x^2}}=\frac{1}{5}

25x^2=16+4x^2

x=\frac{4}{\sqrt{21}}

Substituting x in time equation

t=\frac{\sqrt{4+0.761}}{2}+\frac{6-0.872}{5}

t=2.116 hr

5 0
3 years ago
The figure shown is made up of a cone and a cylinder. The height of the cone is 5 ft and its diameter is 12 ft. The height of th
elena-s [515]

The lateral area of a cone is 147ft².

The total surface area of the cylinder is 867ft².

The total surface area is 1014ft²

<h3>What is the lateral surface area of a cone?</h3>

The lateral area of a cone is defined as the area covered by the curved surface of the cone.

Lateral area of a cone = πr x √(r² + h²)

Where:

  • r = radius = 12/2 = 6ft
  • h = height = 5ft
  • π = 3.14

3.14 x 6 x √(36 + 25) = 147ft²

<h3>What is the total surface area of the figure ?</h3>

Total surface area of the cylinder : πr(r + 2h),

(3.14 x 6) x (6 + 40) = 867ft²

Total surface area = 867 + 147=  1014ft²

To learn more about lateral surface area, please check: brainly.com/question/27847638

#SPJ1

4 0
2 years ago
a triangle with vertices at a 20 -30 b 10 -15. and c 5 -20 has beem dilated with a center of dilation at the origin the image of
AlexFokin [52]

Answer:

  1/5

Step-by-step explanation:

When the dilation is centered at the origin, the dilation factor is applied to each pre-image coordinate to get the image coordinate.

  k(10, -15) = (2, -3)

  k = 2/10 = -3/-15 = 1/5

The scale factor of the dilation is 1/5.

8 0
3 years ago
#24 Help needed :P thanks
alukav5142 [94]
Have you got your answer yet?

7 0
3 years ago
Solve the following equation: <br> -sin^2x=2cosx-2
Sati [7]

\bf sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\\\\ -------------------------------\\\\\\-sin^2(x)=2cos(x)-2\implies -[1-cos^2(x)]=2cos(x)-2 \\\\\\ cos^2(x)-1=2cos(x)-2\implies \stackrel{ax^2+bx+c~form}{cos^2(x)-2cos(x)+1}=0 \\\\\\\ [cos(x)-1][cos(x)-1]=0\implies cos(x)=1\implies \measuredangle x= \begin{cases} 0\\ 2\pi  \end{cases}

4 0
4 years ago
Read 2 more answers
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