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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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alina1380 [7]

Answer:

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4 years ago
A triangle has sides xcm, (x + 4) cm and 11cm, where x is a whole number of cm. if the perimeter of the triangle is less than 32
NARA [144]

9514 1404 393

Answer:

  {4, 5, 6, 7, 8}

Step-by-step explanation:

The inequality related to the perimeter is ...

  x +(x +4) +11 < 32

  2x < 17 . . . . . . . . . . . . subtract 15

  x < 8.5

The inequality related to the triangle inequality is ...

  (x) +(x +4) > 11

  2x > 7

  x > 3.5

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6 0
3 years ago
Read 2 more answers
Which promble can be solved using the equation shown
Damm [24]

Answer:what equation?

Step-by-step explanation:

4 0
4 years ago
Can someone please explain how to do this.
lutik1710 [3]
Set the to equal:

x^2 - 4x+4 = 2x-4
 solve for X

subtract 2x from each side:
x^2 -6x + 4 = -4

subtract 4 from each side:

x^2 -6x = -8

add 8 to both sides:

x^2 -6x +8 = 0

factor the polynomial:

x = 4 and x = 2

using the line equation replace x with 2 and 4 and solve for y

y = 2(2) - 4 = 0
y = 2(4)-4 = 4

so the 2 points the line  crosses the curve is (2,0) and (4,4)

using those 2 points you can calculate the length:
 distance = sqrt((x2-x1)^2 +(y2-y1)^2

distance = sqrt( (4-2)^2 + (4-0)^2)

distance = sqrt (2^2 + 4^2)
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4 0
3 years ago
Commission for every car he sells. The equation below gives Curtis' annual salary, S, in dollars after selling cars, C. Based on
pogonyaev

Answer:

$60,000

Step-by-step explanation:

Hi, to answer this question we have to analyze the function given:

S = 60,000 + 300C

Since 60,000 is a constant, it is Curtis’s base salary.

If doesn’t sell any car, he will only earn the amount of his base salary.

Mathematically speaking:

For C =0

S = 60,000 + 300(0)

S= 60,000

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
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