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Paul [167]
4 years ago
6

An airplane pilot sights a life raft at a 26° angle of depression. The airplane's altitude

Mathematics
1 answer:
Mamont248 [21]4 years ago
7 0

Answer:

Choice B.  6 km.

Step-by-step explanation:

We see this is a right triangle.

The height of this right triangle is 3 km and the angle adjacent to the height leg of the triangle is  (90 - 26 ) degrees = 64 degrees.

We want the distance d which is the leg opposite  64 degrees.

tan 64 = d / 3 km  ;

d = 3 * tan 64 =  3 * 2.0503038  km  = 6.1509 km

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Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
Tresset [83]
The answer is 90 units hope this helps
7 0
3 years ago
How do I do this? Please explain in detail.
umka2103 [35]
22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4
8 0
3 years ago
Read 2 more answers
IN (3)
svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) y  =2x +5

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) =  (2,9)

(x_1,y_1) =  (10,25)

So, we have:

m = \frac{25 - 9}{10 - 2}

m = \frac{16}{8}

m=2

The equation is calculated using:

y - y_1 =m(x - x_1)

Using:

(x_1,y_1) = (6,17)

We have:

y - 17 =2(x - 6)

y - 17 =2x - 12

Make y the subject

y  =2x - 12+17

y  =2x +5

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

y  =2x +5

8 0
3 years ago
richard spends 30% of his monthly budget on rent. His total monthly is 3,000. How much does Ricard spend on rent
Alexeev081 [22]
He spends 900 on rent
6 0
3 years ago
Read 2 more answers
A manufacturer of bottled tea runs a promotion, where consumers can win a free bottle of tea if the cap of the bottle says "Winn
I am Lyosha [343]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
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