Answer:
75.44 Square Inches
Step-by-step explanation:
The diagram of the problem is produced and attached.
To determine the area of the cleaned sector:
Let the radius of the larger sector be R
Let the radius of the smaller sector be r
Area of the larger sector
Area of the smaller sector
Area of shaded part =Area of the larger sector-Area of the smaller sector
From the diagram, R=10 Inch, r=10-7=3 Inch,
Therefore, Area of the sector cleaned
1st let's calculate the decreasing rate & let V₁ be the initial value & V₂ the final's
we know that V₂=V₁.e^(r,t) where r=rate & t-time (& e=2.718)
After t= 2 years we can write the following formula
2350,000=240,000.e^(2r)==> 235,000/240000 = e^(2r) =>47/48=e^(2r)
ln(47/48)=2rlne==> ln(47/48)=2rlne=2r (since lne =1)
r= ln(47/48)/2==>r=-0.0210534/2 =-0.01052 ==> (r=-0.01052)
1) Determine when the value of the home will be 90% of its original value.
90% of 240000 =216,000
Now let's apply the formula
216,000=240,000,e^(-0.01052t), the unknown is t. Solving it by logarithm it will give t=10 years
1.a) Would the equation be set up like so: V=240e^.09t? NON, in any case if you solve it will find t=1 year
2)Determine the rate at which the value of the home is decreasing one year after : Already calculated above :(r=-0.01052)
3)The relative rate of change : it's r = -0.01052
Answer:
1231 ft
Step-by-step explanation:
Draw a right triangle. Label the height of the triangle. as 800 since the height of the triangle represents the height of the helicopter above the coast of the island. Label the base length of the triangle as d to represent the distance between the coast of the island and the coast of the mainland, P. The angle of depression from the helicopter to point P is 33° so draw a horizontal dotted line at the location of the helicopter and label the angle made by the horizontal line and the hypotenuse of the right triangle as 33°. The angle of elevation from P to the helicopter and the angle of depression from the helicopter to point P are congruent alternate interior angles so label the angle at P as 33°.
The side labeled 800 is opposite of P and the side labeled d is adjacent to P so you can use tangent to write an equation. Solve this equation for d and round to the nearest whole number.
The best answer from the choices provide is x = -1 or x = -1
Step-by-step explanation:
Given the expression
Factorizing the given expression
Factor out the common variable from both brackets
Hence the best option is x = -1 or x = -1
The word problem can be:
"the temperature at the evening was -4°F, and some hours after the temperature dropped (here comes the difference/subtraction) another 10°F. What is the final temperature?"
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Which word problem can be modeled by that difference?</h3>
Here we have the difference:
-4 - 10
So, we start at the value -4, and then we subtract 10 units to that.
An example of a word problem that can be modeled by that difference can be something like:
"the temperature at the evening was -4°F, and some hours after the temperature dropped (here comes the difference/subtraction) another 10°F. What is the final temperature?"
To get the final temperature we need to solve:
-4°F - 10°F = -14°F
Which is the final answer.
If you want to learn more about subtractions:
brainly.com/question/25421984
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