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Readme [11.4K]
3 years ago
9

From a balloon 915 feet high, the angle of depression to the ranger headquarters is 85°14'. How far is the headquarters from a p

oint on the ground directly below the balloon (to the nearest foot)?
Mathematics
1 answer:
zalisa [80]3 years ago
3 0
<span>tan(85°14') = 915/d 
hope this helps

</span>
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If -1 &lt; x &lt; 0 which of the following has the smallest value?
Katyanochek1 [597]

Answer: (B) x^3

Explanation:

If you compare the graphs of

  • y = x^2
  • y = x^3
  • y = x^4

all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1

Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.

Plugging x = -1 into x^3 leads to y = -1 as a result.

6 0
3 years ago
(-6+4)×-6 please can you help me​
8090 [49]

The answer is 12

You can use a calculator for these kind of equations

5 0
3 years ago
Read 2 more answers
Factor: 15x2+23x-14.
kolezko [41]

Answer:

15x-7

Step-by-step explanation:

15x {}^{2}  + 23x - 14

(15x - 7)(x + 2)

5 0
3 years ago
3k(x+2)+2 = 5x+8<br> How do I solve for k while keeping x smaller then 3?
Gre4nikov [31]

Answer:

k=(5x+6)/(3x+6) and k<3/5

Step-by-step explanation:

  • 3k(x+2)+2 = 5x+8
  • 3k(x+2)=5x+6
  • 3k=(5x+6)/(x+2)
  • k=(5x+6)/(3x+6)

it is solved for k

and considering the condition for x<3:

  • 3k(x+2)+2 = 5x+8
  • 3kx+6k=5x+6
  • (5-3k)x=6k-6
  • x= (6k-6)/(5-3k)
  • x<3 ⇒ (6k-6)/(5-3k)<3 ⇒  6k-6<15-9k ⇒ 15k<9 ⇒ k<9/15 ⇒ k<3/5

So,

k=(5x+6)/(3x+6) and k<3/5

7 0
3 years ago
Solve the System using elimination. <br><br> 5x-2y=15<br> 7x+7y=-28
steposvetlana [31]

Answer:

x=1 y=-5

Step-by-step explanation:

7(5x-2y=15) --->      35x-14y=105

2(7x+7y=-28) -->  + <u>14x+14y=-56</u>

                               49x=49  --->x=1

5(1)-2y=15 ---> 5-2y=15 ---> -2y=10 ---> y=-5

8 0
3 years ago
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