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2 years ago

Determine value of a

Mathematics

1 answer:

S_A_V [24]2 years ago

6 0

For this case we have that by definition of trigonometric relations that the sine of an angle is equal to the opposite leg to the angle on the hypotenuse. That is to say:

$Sin (43) = \frac {a} {26}$

Clearing the value of "a":

$a = 26 * sin (43)\\a = 26 * 0.68199836\\a = 17.73195736$

Rounding off we have:

17.7

Answer:

Option B

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If f(x)=-4x-5 and g(x)= 3-x, what is g(-4) +f(1)? A.-10 B.7 C.-9 D.-2

Kisachek [45]

Answer:

-2

Step-by-step explanation:

sustitue -4 into x for 3-x which would equal 7 because a negative times a negative equals positive. Then substitue 1 in for x in -4x-5 which would get you -9

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3 years ago

4 tomatoes and 8 avocados cost $10. Six tomatoes and 14 avocados cost $17. How much does a single avocado and a single tomato co

Nataly_w [17]

Answer:

One avocado costs $1 and one tomato costs $0.50

Step-by-step explanation:

Set up a system of equations where t is the number of tomatoes and a is the number of avocados:

4t + 8a = 10

6t + 14a = 17

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:

12t + 24a = 30

-12t - 28a = -34

Add them together and solve for a:

-4a = -4

a = 1

Plug in 1 as a into one of the equations and solve for t:

4t + 8a = 10

4t + 8(1) = 10

4t + 8 = 10

4t = 2

t = 0.5

So, one avocado costs $1 and one tomato costs $0.50

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3 years ago

Factoring polynomials -12n2-11n=-15

bagirrra123 [75]

Answer:

n=3/4,-5/3

Step-by-step explanation:

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2 years ago

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The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of

mixer [17]

Notice the picture below

x = 1 and y = -1

now... recall your SOH CAH TOA $\bf sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}$

now.. what's the value for "r" or the radius? well, using the pythagorean theorem $\bf c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad 
\begin{cases}
a=x\\
b=y\\
c=r
\end{cases}$

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3 years ago

codys bikes rents bikes for $18 plus $5 per hour. mofor paid $48 to rent a bike. For how many hours did he rent the bike?

DerKrebs [107]

First of all, to find out the amount paid for hours in total,
$48-$18=$30
to find how many hours,
$30÷$5=6hrs

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3 years ago

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