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Ganezh [65]
2 years ago
7

Write and graph exponential decay function

Mathematics
1 answer:
Anna71 [15]2 years ago
6 0
P
pp is an exponential function with an initial value of
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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0
3 years ago
PLEASEEEEEEEEEEEE HELPPPPP BRAINLIEST
jenyasd209 [6]

Answer:

A≈527.79

Step-by-step explanation:

A=2πrh+2πr2

Brainly plss

6 0
3 years ago
Read 2 more answers
The formula Y=X⁴-4X³+3X² is growing?
miskamm [114]

Answer:

The best way to know weather the formula y=x⁴-4x³+3x² is growing or not, is by graphing it.

As you can see in the attached picture:

  • For -inf<x< 0 the graph decreases.
  • For 0<x<0.634 the graph is growing
  • For 0,634<x<2.366 the graph decreases
  • For 2.366<x<+inf the graph is growing.

Therefore, the polynomial grows in the intervals stated before.

6 0
3 years ago
In what ways does algebra act as a tool to improve communication? How does algebra affect how people can learn from each other?
Andreyy89

Answer: Algebra acts as a tool to improve communication because much like learning a new language, you have to take baby steps before you can fully get it. This can improve communication because you're learning something new with the help of others.

4 0
2 years ago
Melissa cut 2 and 1/4 feet of tape. How much is this in inches?
taurus [48]
1 ft = 12 inches

so 2 ft = (2 * 12) = 24 inches
and 1/4 ft = 1/4 * 12 = 12/4 = 3 inches

for a total of 27 inches
5 0
3 years ago
Read 2 more answers
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