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nika2105 [10]
3 years ago
10

What is the area of the shaded region

Mathematics
1 answer:
pentagon [3]3 years ago
8 0

is there supposed to be a picture? if so it isn’t there
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nataly862011 [7]
1415.61 IS HER TOTAL BILL BEFORE SHIPPING. 1415.61X .15=212.34 

1415.61 REPAIR
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4 years ago
Read 2 more answers
A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,
guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation A=45e^{-0.05t}.

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate A=15 and solve for t as:

15=45e^{-0.05t}

\frac{15}{45}=\frac{45e^{-0.05t}}{45}

\frac{1}{3}=e^{-0.05t}

Now we will switch sides:

e^{-0.05t}=\frac{1}{3}

Let us take natural log on both sides of equation.

\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})

Using natural log property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})

-0.05t\cdot (1)=\text{ln}(\frac{1}{3})

-0.05t=\text{ln}(\frac{1}{3})

t=\frac{\text{ln}(\frac{1}{3})}{-0.05}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}

t=-\text{ln}(\frac{1}{3})\cdot 20

t=-(\text{ln}(1)-\text{ln}(3))\cdot 20

t=-(0-\text{ln}(3))\cdot 20

t=20\text{ln}(3)

Therefore, it will take 20\text{ln}(3) years for area of the glacier to decrease to 15 square kilo-meters.

6 0
3 years ago
Charles needs construction paper to finish a project. To wrap the box he knows he needs a lot of construction paper. The box is
san4es73 [151]

Answer:

304

Step-by-step explanation:

3 0
3 years ago
What is the value of x in this figure?
slega [8]
Check the picture below.

\bf 10\cdot \stackrel{cos(30^o)}{\cfrac{\sqrt{3}}{2}}=x\implies 5\sqrt{3}=x

5 0
3 years ago
14 - (9t - 2) < -t + 30
Helen [10]

Answer:

t>−74

Step-by-step explanation:

I hope this help helps

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3 years ago
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