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zalisa [80]
3 years ago
5

Help!

Mathematics
2 answers:
aalyn [17]3 years ago
6 0
A.  The angle formed with the ground would be calculated using sin x = 20/24.
sin^-1(20/24) = 56 degrees.
b.  The angle formed with the house would be calculated using cos y = 20/24.
cos^-1 (20/24) = 34 degrees.
c. The distance the ladder was placed from the house can be calculated using Pythagorean Theorem or Cos 56 = b/24.
24cos56 = b.  b = 13
vichka [17]3 years ago
5 0

Answer:

A. 56.40°

B. 33.59°

C. 13.25 feet

Step-by-step explanation:

In the given triangle ABC, AB is the height of window at second floor,

AC is ladder and BC is the ground.

A. In this part we have to measure angle C.

Since Sin c = \frac{AB}{AC}

         Sin c = \frac{20}{24} = \frac{5}{6} = (0.833)

          c =  (56.40)°

B. In this part of the question we have to find angle A.

Since Cos A = \frac{20}{24}=\frac{5}{6} = (0.833)

             A = 33.59°

C. In this part we have to find distance BC.

Since  Tan c = \frac{AB}{BC}

          Tan (56.40) = \frac{20}{BC}

           BC = \frac{20}{(1.51)}= 13.25 feet.

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b - 1.94 hours

Step-by-step explanation:

Given,

a) A(t) = 10 (0.7)^t

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We would have,

A(t) = 2, therefore

2 = 10(0.7)^t

0.7^t =2÷10

0.7^t = 0.2

Take the log of both sides,

Log (0.7)^t = log 0.2

t log 0.7 = log 0.2

t = log 0.2/ 0.7

t = 4.512 hours

Thus it will take 4.512 hours for 2mg to be left in the body.

b) Half life

Let A(t) = 1/2 A(0)

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