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N76 [4]
3 years ago
5

I dont know what a complementary angle is, can someone help me with this quistion please?

Mathematics
1 answer:
Allisa [31]3 years ago
8 0

Answer:

A, complementary angles sum up to 90°

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Two hikers, Charles and Maria, begin at the same location and travel in perpendicular directions. Charles travels due north at a
attashe74 [19]

Answer:

d(L)/dt   = 9,43 miles per hour

Step-by-step explanation:

As Charles and Maria travel in perpendicular directions, these directions could be considered as two legs ( x and y ) of a right triangle and distance (L)  between them as the hypotenuse, therefore, according to Pythagoras theorem

L²  = x² + y²

And as all ( L , x , and y ) are function of time, we apply differentiation in both sides of the equation to get

2* L d(L)/dt   =  2*x*d(x)/dt  + 2*y*d(y)/dt      (1)

In equation (1) we know:

d(x)/dt  =  8 miles/per hour     ( Maria )

d(y)/dt  =  5  miles /per hour   (Charles)

In 3 hours time   Maria has travel  3*8  = 24 miles

And  Charles   5*3  = 15 miles

Then at that time L is equal to

L  = √ 24² +  15²    ⇒  L  =  √ 576 + 225   ⇒ L = √801     ⇒ L =28,30 miles

Then plugging these values  in equation (1)

2* L d(L)/dt   =  2*x*d(x)/dt  + 2*y*d(y)/dt

2* 28.30 * d(L)/dt  = 2*24*8  + 2* 15*5

56.6 *d(L)/dt   =  384  +  150

d(L)/dt   = 534/56,6

d(L)/dt   = 9,43 miles per hour

4 0
3 years ago
An item sells for $40 . The sales tax on the item is 8%. What is the sales tax and total cost?
In-s [12.5K]

Answer:

The sales tax is $3.2 and the total cost is $43.2.

Step-by-step explanation:

Multiply 0.08 by $40 to find the sales tax  (8% is the same as 0.08)

Then add 3.2 (sales tax) to the regular price to find the total price.

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Group 1 A elements have similar properties because they
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D. Have the same number of valence electrons
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A contractor needs 54 square feet of brick to construct a rectangular walkway. The length of the walkway is 15 feet more than th
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54-14 it’s pretty easy
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What is 708569 to the nearest ten thousands
gregori [183]
70,000
The 0 means that it stays the same.
Hope it helps.
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