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3 years ago

Given sin θ = 7/25, find the value of a and b in the following statements.

Mathematics

2 answers:

N76 [4]3 years ago

8 0

Answer:

sin θ = 7/25 so θ =16.26

So tan θ = tan 16.26 = 7/24 = a/24 so a =7

sec θ = 1.17445580142 = 25/b so b = -21

Brainliest?

Sergeu [11.5K]3 years ago

3 0

Answer:

a = 7, b = 24 if quadrant 1

a = -7, b = -24 if quadrant 2

Step-by-step explanation:

Tan theta = sin(theta) × sec(theta)

a/24 = (7/25) × (25/b)

ab = 168

a = 168/b

1 + tan²(theta) = sec²(theta)

1 + a²/576 = 625/b²

1 + 168²/576b² = 625/b²

1 = 576/b²

b = 24 (+ or -)

a = 168/24 = 7 (+ or -)

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The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 30 , P = 1260 . Work o

Lapatulllka [165]

Answer:

875 Watts

Step-by-step explanation:

Given that :

P α s²

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When ; p = 1260 ; s = 30

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1260 = 900k

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k = 1.4

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6 0

3 years ago

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kifflom [539]

Answer:

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3 years ago

A dataset consists of the composition of 77 breakfast cereals. For each cereal, the number of calories/serving and the grams of

kirza4 [7]

Answer:

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Step-by-step explanation:

The equation of the line generated by the regression is

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3 years ago

X-5y=33<br> 5x-6y=70<br> solve the system by the addition method

BARSIC [14]

For this case we have the following system of equations:

$x-5y = 33\\5x-6y = 70$

We multiply the first equation by -5:

$-5x + 25y = -165$

Thus, we have the equivalent system:

$-5x + 25y = -165\\5x-6y = 70$

We add the equations:

$-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5$

We find the value of the variable "x":

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Thus, the solution of the system is:

$(x, y) :( 8, -5)$

Answer:

$(x, y) :( 8, -5)$

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3 years ago

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krok68 [10]

Answer:

=2.64

Step-by-step explanation:

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3 years ago