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kvasek [131]
4 years ago
14

A ranger spots a forest fire while on a 60-meter observation tower. The angle of depression from the tower to the fire is 25°. T

o the nearest meter, how far is the fire from the base of the tower?
Mathematics
1 answer:
Vikentia [17]4 years ago
7 0

27.98ft

You can get this by using the tangent formula. The answer exactly expressed is 60tan25.
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Which is the slope of for (-5,9) and (-5,-5).
Drupady [299]

C) Undefined

formula: y-y/x-x

9--5= 9+5=14

-5--5= -5+5= 0

14/0

you can't divide by 0 so it's undefined

7 0
4 years ago
Read 2 more answers
Each week Jesalea earns $12 dollars doing yard work. She saves 40% the money she makes,
ratelena [41]

Answer:

28

Step-by-step explanation:

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the numbers.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the key words. These include add, subtract, remove, spend, earn, less, more, times, twice, half, etc.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Finally, convert everything into an equation.

42

=

2

⋅

blouse

−

14

Now, solve the equation.

56

=

2

⋅

b

l

o

u

s

e

b

l

o

u

s

e

=

28

7 0
3 years ago
Read 2 more answers
An horse gallops 200ft turns and trots 350ft turns again and travels 410ft
bija089 [108]

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

<h3>What is the Heron's formula?</h3>

The Heron's formula is given as;

√s(s-a)(s-b)(s-c)

where s is half the perimeter of the triangle

WE have been given that horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.

Perimeter of the triangle is given as = 200 + 350 + 410 = 960 ft

Semi perimeter =  960 ft/ 2 = 480 ft

Area =  √s(s-a)(s-b)(s-c)

Area =  √480 (480 -200)(480 -350)(480 -410)

Area =  √480 (280)(130)(70)

Area =  √480 (2548000)

Area = 34971.98

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

Learn more about the Heron's formula;

brainly.com/question/20934807

#SPJ1

The complete question is

A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from. What is the area of the triangle formed by his path? round to the nearest hundredth.

6 0
1 year ago
$10,000 for 5 years at 4% interest
inessss [21]

Simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

As given in the question,

Simple Interest:

The simple interest is an amount that is paid for loan or borrowed money over a certain period at a fixed percentage of borrowed money.

Principal amount:

Principal amount is the money that is taken as loan or borrowed.

Formula of Simple Interest:

Simple interest = Principal amount × Rate × Time

Since,

Principal amount = $10,000

Rate = 4% per year

Time = 5 years

Then,

Simple interest = 10,000 × 4 × 5

Simple interest = $ 12000

Total value after 5 years = $ 12000

Principal amount = $ 10000

Interest Earned = (Total value) - (Principal amount)

Interest Earned = $ 12000 - $ 10000

Interest Earned = $ 2000

Therefore, simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

The complete question is:

Fabian is taking out a loan in the amount of $10,000. His choices for the loan are a 5-year loan at 4% rate of interest .What is the amount of simple interest and interest earned Fabian would have to pay?

To know more about simple interest here

brainly.com/question/25845758

#SPJ1

3 0
1 year ago
ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!! Please do the 2 questions!
sergiy2304 [10]

Answer:

7. 80 miles

8. F

Step-by-step explanation:

7. Jorge leaves 2 hours early, and is going 20 miles per hour. So before Marcos starts going, Jorge has gone 40 miles (2*20). Then, 1 hour later, Jorge is at 60 miles and Marcos is at 40 (because he goes 40 miles per hour in his car). Another hour later, Jorge is at 80 (60+20) and Marcos is at 80 as well (40 + 40). They will both have gone 80 miles when Marcus catches up.

8. You want to get <em>a</em> isolated.

A = h/2(a + b)

First, multiply both sides of the equation by the reciprocal of h/2.

2A/h = a + b

Then, subtract b from both sides.

2A-b/h = a

7 0
3 years ago
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