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g100num [7]
2 years ago
6

An airplane is flying at an altitude of 6000 m over the ocean directly towards a coastline. At A certain time the angle of depre

ssion to the coast line from the airplane is 14°. How much farther (to the nearest meter) does the airplane have to fly before it is directly above the coastline?

Mathematics
1 answer:
Fantom [35]2 years ago
7 0
Check the picture below.

make sure your calculator is in Degree mode.

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ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies ΔEFG?
MariettaO [177]

Answer:

ΔEFG is an isosceles triangle.

Step-by-step explanation:

Given:

E (0, 0),

F (−7, 4),

G (0, 8)

ΔEFG

Solution:

Distance formula

Distance d = \sqrt{(x_2-x_1)^2 +( y_2-y_1)^2

Step 1: Finding the length of  EF

By using distance formula,

EF = \sqrt{(-7 - 0)^2 + (4-0)^2}

EF = \sqrt{(49) + (16)}

EF = \sqrt{(49) + (16)}\\EF = \sqrt{65}\\

Step 2: Finding the length of  FG

By using distance formula,

FG = \sqrt{(0-(-7))^2+(8-4)^2}\\FG = \sqrt{(7)^2 +(4)^2}\\FG = \sqrt{49 +16}\\FG = \sqrt{65}

Step 2: Finding the length of  GE

GE= \sqrt{(0-0)^2 + (0-8)^2}\\\\GE =\sqrt{(-8)^2}\\GE = \sqrt{64}\\GE = 8

Thus we could see that the sides EF = FG

So it is  a isosceles triangle.

6 0
2 years ago
4294 divided by 68
Nataly_w [17]

Answer:

1. 63.1. 2.22.5 3. 74.3 4. 56.1

8 0
2 years ago
Please help me I have a test tomorrow
yarga [219]

#5 is very nicely and correctly done.

#7 says: "No matter what X may be, this function of it is always 9 more than 1/2 of X .".

That's a very powerful statement. Now you know that if X is ever 2, the function will be 1/2(2)+9 which is 10.

If X is ever zero, the function will be 1/2(0)+9 which is 9. If X is ever a cow, the function will be 1/2 of a cow, plus the number 9. Which makes no sense, but that's what the function says.

So, when X is -8, the function is 1/2 of -8, plus 9. Which is 5 ... the 'f' of -8.

Whatever X happens to be at the moment, just write that number in place of X in the function, and it'll show you the function of what X is.

f(a bazillion) = 1/2(a bazillion) + 9 .

f(a-28) = 1/2(a-28) + 9 (but simplify it)

7 0
3 years ago
Dylan invested $93,000 in an account paying an interest rate of 3% compounded quarterly. Assuming no deposits or withdrawals are
Andreas93 [3]

The final balance is $154,577.63 or

The total compound interest is $61,577.63

Step-by-step explanation:

6 0
3 years ago
Given the equation 5x + 23 = − 2x − 12, which order of operations completely solves for x? (1 point)
Brrunno [24]
5x+23+-2x-12
7x+23=-12
7x=-35
x=5
5 0
3 years ago
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