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Stells [14]
3 years ago
8

from a balloon 1191 feet high, the angle of depression to the ranger headquarters is 72°54'. how far is the headquarters from a

point on the ground directly below the balloon (to the nearest foot)
Mathematics
1 answer:
lara [203]3 years ago
6 0
Since angle of depression = 72°54 minutes.

60 minutes = 1°

54 minutes = 54/60 = 0.9°

Therefore  72°54 minutes =  72° + 0.9° = 72.9°

Since angle of depression =  72.9°,   the reverse angle of elevation =  72.9°

(Picture representation of this using right angled triangle is needed)

tan  72.9° =   Opposite height / Horizontal distance

tan 72.9° = 1191 / x

x = 1191 / tan 72.9               Use a calculator.

x ≈1191 / 3.2506

x ≈ 366.39

Horizontal distance ≈ 366.39 feet.

Hope this helped.
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3. Galshore of Maloat is making a journey from the island of Gont to Oranea. The distance from the two lands is 965 miles. Galsh
USPshnik [31]

Answer:

  3.  about 7.48 hours

  4.  about 1.8892 hours

Step-by-step explanation:

Both of these questions make use of the relation ...

  time = distance / speed

3. time = (965 mi)/(129 mi/h) ≈ 7.48062 h ≈ 7.48 h

__

4. time = (612.1 mi)/(324 mi/h) ≈ 1.889198 h ≈ 1.8892 h

(We have rounded the time to sufficient precision so that the distance at the given speed rounds to the number given.)

3 0
3 years ago
What is f(5) if f(1)=3.5 and f(x+1)=5\2 f(x)
katen-ka-za [31]

Answer:

f(5) = 136.71875‬

Step-by-step explanation:

f(5) if f(1)=3.5 and f(x+1)=5\2 f(x)

f(2) = (5/2)* f(1) = (5/2)* 3.5  = 8.75

f(3) = (5/3)*f(2) =(5/2) * 8.75

f(4) = (5/3)*f(3) =(5/2)*(5/2) * 8.75

f(5) = (5/3)*f(4) = (5/3)*(5/2)*(5/2) * 8.75

f(5) = (5/2)^4  * 3.5 = (625/16) * 3.5 = 136.71875‬

f(5) = 136.71875‬

4 0
3 years ago
HELP ASAP Calculate the residuals for your scatterplot in step 2d.
postnew [5]

The residuals of the linear regression equation are -1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18 and -0.7

<h3>How to determine the residuals?</h3>

The regression equation is given as:

y = 0.141x + 0.842

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.141 * 13.8 + 0.842 = 2.78

y = 0.141 * 18 + 0.842 = 3.38

y = 0.141 * 16.7 + 0.842 = 3.20

y = 0.141 * 18 + 0.842 = 3.38

y = 0.141 * 0.7 + 0.842 = 0.94

y = 0.141 * 21.9 + 0.842 = 3.93

y = 0.141 * 15.5 + 0.842 = 3.03

y = 0.141 * 9.2 + 0.842 = 2.14

y = 0.141 * 19.5 + 0.842 = 3.59

y = 0.141 * 16.7 + 0.842 = 3.20

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

Residual = 1.42 - 2.78 = -1.36

Residual = 3.7 - 3.38 = 0.32

Residual = 3.21 - 3.20 = 0.01

Residual = 4 - 3.38 = 0.62

Residual = 1.11 - 0.94 = 0.17

Residual = 3.69 - 3.93 = -0.24

Residual = 3.92 - 3.03 = 0.89

Residual = 2.23 - 2.14 = 0.09

Residual = 3.77 - 3.59 = 0.18

Residual = 2.5 - 3.20 = -0.7

Hence, the residuals of the linear regression equation are -1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18 and -0.7

Read more about residuals at:

brainly.com/question/16180255

#SPJ1

6 0
1 year ago
$819.73 insurance as a percentage of $1192.64
nordsb [41]
$819.73/$1192.64 × 100% ≈ 68.73%
6 0
3 years ago
Jeff has $6000 in a savings account, has $15000 in investments, he owned a guitar worth $1000, he has $17000 left to pay on his
Law Incorporation [45]

Answer:

$200

Step-by-step explanation:

To find Jeff's net worth, we will deduct all his debts (liabilities) from his assets (his properties).

ASSETS

Savings Account - $6000

Investments - $15000

Guitar - $1000

TOTAL - $22000

LIABILITIES

Student loans - $17000

Credit Card Debt - $1200

Outstanding car payment - $3600

TOTAL - $21800

NET WORTH = Assets - Liabilities

NW = $22000 - $21800

NW = $200

His net worth is $200.

4 0
3 years ago
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