PLEASE HELPP MEEEEE

1 answer:

6 0

The smallest region that can be photographed is
5*7 = 35 square km
so we want to know how long it takes to zoom out to an area of
35 * 5 = 175 square km.

Notice that the length and width increase at the same rate, 2 km/sec, and they start out with a difference of two, so when the width has increased from 5 to x, the length will have increased from 7 to x+2. At the desired coverage area, then,
x(x+2) = 175
x^2 + 2x = 175
x^2 + 2x + 1 = 176 [completing the square]
(x+1)^2 = 176
x+1 = ±4√11
x = -1 ±4√11

Since a negative value for x is meaningless here, x must be
-1 + 4√11 = about 12.27 km
and the time it took to increast to that value was
(12.27 - 5) km / (2 km/sec) = about 3.63 seconds

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Answers and Step-by-step explanations:

9-18.

a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.

Then, we can just solve for x by subtracting 30 and 115 from both sides:

x = 180 - 115 - 30 = 35 degrees

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9-19.

a) These angles add up to 180:

2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50

2x = 50 * 2 = 100

The missing angles are 100 degrees and 50 degrees.

b) Again, these add up to 180:

x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40

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The missing angles are 50 degrees and 40 degrees.

Hope this helps!

7 0

4 years ago

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tatuchka [14]

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Step-by-step explanation: I used the calculator

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3 years ago

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alexandr1967 [171]

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Answer:

9n^4

Step-by-step explanation:

The divisor and quotient can be interchanged to find the divisor:

$\dfrac{18n^6+27n^5-36n^4}{2n^2+3n-4}=\boxed{\text{Blank 1}}$

Such division is carried out by first finding the quotient of the highest-degree terms:

$\dfrac{18n^6}{2n^2}=\dfrac{18}{2}n^{6-2}=9n^4$

This value is used to multiply the denominator and subtract that product from the numerator to find the new numerator. The new numerator is zero, so the value that goes in Blank 1 is ...

9n^4

_____

The attachment shows the long division.