Compute 1240.64/6.4 round the answer appropriately thank you

The line with equation −a+3b=0 coincides with the terminal side of an angle θ in standard position and sinθ<0 .

Anna11 [10]

If $a$ is the variable of the horizontal axis, then you can solve for $b$ to get the equation of the line in slope-intercept form in the $a,b$ plane:

$-a+3b=0\implies b=\dfrac a3$

i.e. a line with slope $\dfrac13$ through the origin, which means it is contained in the first and third quadrants. Since the terminal side of $\theta$ has a negative sine, the angle must lie in the third quadrant.

Because the slope of the line is $\dfrac13$ , you can choose any length along the line to make up the hypotenuse of a right triangle with reference angle $\theta$ . Any such right triangle will have $\tan\theta=\dfrac13$ , regardless of whether the angle is the first or third quadrant. But since $\theta$ is known to lie in the third quadrant, and so $\sin\theta$ and $\cos\theta$ are both negative, you have

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}=\dfrac13\implies \dfrac{\sin\theta}{\cos\theta}=\dfrac{-1}{-3}\implies \cos\theta=-3$

6 0

3 years ago

Read 2 more answers

This year benny is 12 years old and his mom is 48 years old what percent of his mom age is benny

Drupady [299]

Answer:

Hello! Benny is 25%of his Moms age

Step-by-step explanation:

7 0

3 years ago

If m<mkl=83. m<jkl=127. and m<jkm=(9x-10). find the value of x

kirza4 [7]

MKL = 83, JKL = 127, JKM = 9x - 10 given

JKL + MKL = JKM angle addition postulate

127 + 83 = 9x - 10 substitution

210 = 9x - 10 simplify (add like terms)

220 = 9x addition property of equality

$\frac{220}{9}$ = x

3 0

3 years ago

In the diagram below, if < A = 97 °, < B = 46 °, < D = 97 ° and < F = 37 °, we can say that

sdas [7]

Answer:

(a) The two triangles are similar by AA

Step-by-step explanation:

Similar triangles have congruent corresponding angles and proportional corresponding side lengths.

<h3>Third angle</h3>

The third angle in triangle ABC is found using the fact that the sum of angles is 180°.

∠C = 180° -∠A -∠B

∠C = 180° -97° -46° = 37°

Two of the angles, A and C, match the measures of two of the angles in triangle DEF. The matches are ...

∠A = ∠D = 97°

∠C = ∠F = 37°

The two triangles are similar by AA.

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Additional comment

The similarity statement can be ΔABC ~ ΔDEF.

8 0

1 year ago

Tommy is purchasing items from an online store. The store charges $6 shipping and handling for each package. Write an expression

faust18 [17]

Answer:

The expression to represent the total shipping costs for x package is 6x.

Tommy will pay $ 12 in shipping and handling for 2 packages.

Step-by-step explanation:

Given that the shipping and handling charge for 1 package = $ 6

So, by using the elementary method, the shipping and handling charge for x package is $ 6x.

Hence, the required expression to represent the total shipping costs for x package is 6x.

For 2 package, x=2

So, the shipping and handling charge for 2 package

=6x2

=12.

So, Tommy will pay $ 12 in shipping and handling for 2 packages.

7 0

3 years ago