The length of the rope, h is the hypotenus. From the data Given, we cannot obtain how far wthe bird will need to fly directly, we use Pythagoras rule to calculate the hypotenus of the triangle :

Hypotenus, h = sqrt(opposite² + adjacent²)

h = sqrt(7² + 5²)

h = sqrt(49 + 25)

h = sqrt(74)

h = 8.6 feet

3 0

3 years ago

Find the sale price of the item. Round to two decimal places if necessary.

lina2011 [118]

The sale price would be $69.91 I think

5 0

3 years ago

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At 106°F, a certain insect chirps at a rate of 67 times per minute, and at 108°F, they chirp 83 times per minute. Write an equat

Step2247 [10]

Answer:

$y=8x-781$

Here, $x$ represents temperature and $y$ denotes rate of chirping per minute.

Step-by-step explanation:

Let $x$ represents temperature and $y$ denotes rate of chirping per minute.

At $106$ °F, a certain insect chirps at a rate of $67$ times per minute.

Take $(x_1,y_1)=(106,67)$

At $108$ °F, they chirp $83$ times per minute.

Take $(x_2,y_2)=(108,83)$

Slope intercept form:

$y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

$y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781$

3 0

3 years ago

How to factorize 5x^2-20y^2

Lilit [14]

Answer:

Step-by-step explanation:

$5x^2-20y^2\\=5(x^{2} -4y^2)\\=5[x^{2} -(2y)^2]\\=5(x+2y)(x-2y)$

7 0

2 years ago

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