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irinina [24]
3 years ago
15

in the town zoo 3/28 of the animals are birds . of the birds, 4/15 are birds of prey . what fraction of.the animal at zoo are bi

rds of prey
Mathematics
1 answer:
salantis [7]3 years ago
3 0
The Free Application for Federal Student Aid (FAFSA) is a form that can be prepared annually by current and prospective college students (undergraduate and graduate) in the United States to determine their eligibility for student financial aid.
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Can someone help me with this? sin150° =
marusya05 [52]

Answer:

sin(150°) = 1/2

Step-by-step explanation:

* Lets study how we can solve this problem

- At first the measure of the angle is 150°

- Ask your self in which quadrant can you find this measure

* To know the answer lets revise the four quadrants

# First quadrant the measure of all angles is between 0° and 90°

  the measure of any angle is α

∴ All the angles are acute

∴ All the trigonometry functions of α are positive

# Second quadrant the measure of all angles is between 90° and 180°

  the measure of any angle is 180° - α

∴ All the angles are obtuse

∴ The value of sin(180° - α) only is positive ⇒ sin(180° - α) = sinα

# Third quadrant the measure of all angles is between 180° and 270°

  the measure of any angle is 180° + α

∴ All the angles are reflex

∴ The value of tan(180° + α) only is positive ⇒ tan(180° + α) = tanα

# Fourth quadrant the measure of all angles is between 270° and 360°

  the measure of any angle is 360° - α

∴ All the angles are reflex

∴ The value of cos(360° - α) only is positive ⇒ cos(360° - α) = cosα

* Now lets check the angle of measure 150

- It is an obtuse angle

∴ It is in the second quadrant

∴ the value of sin(150) is positive

∴ sin(150°) = sinα

∵ 180 - α = 150 ⇒ isolate α

∵ α = 180° - 150° = 30°

∴ sin(150°) = sin(30°)

∵ sin(30°) = 1/2

∴ sin(150°) = 1/2

6 0
3 years ago
Read 2 more answers
State if the function is a growth or decay and the factor <br><br> y=2x
Jet001 [13]

Answer:

the function shows growth of a factor of 2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The volume of a sphere is found using the formula V= 4/3 3.14r^3. If the radius of a sphere is 3/4 feet, what is the volume of t
Rufina [12.5K]
The volume of the sphere is expressed in the formula V= 4/3 3.14r^3 and we are given the radius of the sphere. to find the volume, we can directly substitute r as the unit of the volume to be determined is consistent with the given. Hence, via subsitution, the answer is 1.7671 cubic feet 
6 0
3 years ago
The measure of the​ angle's supplement is 40​° more than three times that of its complement. find the measure of the angle descr
Lemur [1.5K]
Angle is x. sup - adds up to 180. comp adds up to 90

180-x = 3(90-x)+40
180-x = 270-3x+40
180-x = 310-3x
180+2x = 310
2x = 130
x=65
8 0
3 years ago
Find the circumference and area of the circle having a given diameter of d = 13 cm
expeople1 [14]
Circumference of circle = pi*diameter = 13pi cm

Area is pi*d^2/4 = pi*13^2/4 = 42.25pi cm^2.
5 0
3 years ago
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