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Reil [10]
3 years ago
13

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

if β < α. sin( x 2 + 2x) = cos(2x + 3x 2 )
A) 15°
B) 37.5°
C) 52.5°
D) 75°
Mathematics
2 answers:
kifflom [539]3 years ago
7 0

Answer:

B) 37.5

Step-by-step explanation:

Sine and cosine of complementary angles. therefore

(x/2 + 2x)+(2x+ 3x/2) = 90 which means x=15 then 15/2 + 2x = 37.5

2(15) + 3(15)/2 which means x=52.5 therefore B=37.5

Lana71 [14]3 years ago
5 0

The answer is c hope this helps god bless and have a nice day sirr

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Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 eac
Vikki [24]

Answer:

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

20x+50y\leq 400

Larry must purchase at least nine items.

x+y\geq 9

Check both inequalities of all given ordered pairs.

For (5,6),

20(5)+50(6)\leq 400\Rightarrow 400\leq 400

5+6\geq 9\Rightarrow 16\geq 9

Point (5,6) satisfy both inequalities.

For (10,4),

20(10)+50(4)\leq 400\Rightarrow 400\leq 400

10+4\geq 9\Rightarrow 14\geq 9

Point (10,4) satisfy both inequalities.

For (20,0),

20(20)+50(0)\leq 400\Rightarrow 400\leq 400

20+0\geq 9\Rightarrow 20\geq 9

Point (20,0) satisfy both inequalities.

For (15,2),

20(15)+50(2)\leq 400\Rightarrow 400\leq 400

15+2\geq 9\Rightarrow 17\geq 9

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

4 0
3 years ago
Y is inversely proportional to the cube of x. Work out the value of x when y = 64. please help :)
sp2606 [1]

Answer:

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Step-by-step explanation:

7 0
2 years ago
Jasper owns a small retail store as a sole proprietor. the business records show that the cost of the stores inventory items has
LiRa [457]

Answer:

c. jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory

Step-by-step explanation:

First In First Out  FIFO is a type of inventory system in accounting, it literally implies that  the oldest purchase goes out first when you made a sale. The oldest purchase are charged based on cost of good sold. If price are rising, :

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From the information given:

the business records show that the cost of the stores inventory items has been steadily increasing. the cost of the end of the year inventory is 200,000 and the cost of the beginning of the year inventory was 250,000.

What the statement implies is that:

jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory

3 0
3 years ago
Convert 2100 seconds to weeks
Sonja [21]

It will be 3 weeks because if you divide 7/2,100 it will become to be 3weeks

6 0
2 years ago
Read 2 more answers
Calculate the total<br><br> 8/10+82/100
swat32

Answer:

81/50

Step-by-step explanation:

=8/10+82/100

=8/10+41/50

=40+41/50

=81/50

3 0
3 years ago
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