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3 years ago

What is the value of the expression below when X = 6? 10x - 3

Mathematics

2 answers:

MArishka [77]3 years ago

4 0

Answer:

Step-by-step explanation:

10x-3

10(6)-3

10(6)=60

60-3=57

horrorfan [7]3 years ago

3 0

Answer:

Step-by-step explanation:

x = 6

10x - 3

10(6) - 3

60 - 3

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If sin Θ = 2 over 3 and tan Θ < 0 , what is the value of cos Θ?

Zielflug [23.3K]

$\sin \theta = \dfrac 2 3$

$\tan \theta < 0$

Positive sine, negative tangent, means we have a negative cosine. We're talking about the second quadrant.

$\cos^2 \theta + \sin ^2 \theta = 1$

$\cos^2 \theta = 1 - \sin ^2\theta$

$\cos \theta = \pm \sqrt{1 - \sin ^2\theta}$

We know it's negative,

$\cos \theta = - \sqrt{1 - (2/3)^2} =-\sqrt{5/9} = - \dfrac 1 3 \sqrt{5}$

Answer: -(1/3)√5

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3 years ago

Find the distance between these points.<br> C(0, 4), T(-6, -3)

beks73 [17]

Answer:

$distance=\sqrt{85} =9.22$

Step-by-step explanation:

We can use the general distance formula between any two points $(x_1,y_1)$ and $(x_2,y_2)$ on the plane given by:

$distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

We simply identify $(x_1,y_1)$ with (0, 4) and $(x_2,y_2)$ with (-6, -3) , thus obtaining:

$distance=\sqrt{(-6-0)^2+(-3-4)^2}\\distance=\sqrt{(-6)^2+(-7)^2} \\distance=\sqrt{36+49} \\distance=\sqrt{85} =9.22$

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4 years ago

In triangle abc, ac=12, the measure of angle a = 30\deg, and the measure of angle b = 45\deg. find the area of this triangle.

Anuta_ua [19.1K]

First we have to find the missing angle. And we know that sum of the measurement of angles of a triangle is 180.

So we will get

$C = 180-30-45 = 105 degree$

Now we use sine law, which is

$\frac{sin \ A}{BC} = \frac{sin \ B }{AC}$

Substituting the values, we will get

$\frac{sin 30}{BC} = \frac{sin 45}{12}$

$BC = \frac{12 sin 30}{sin 45} = 6 \sqrt2$

The formula of area of triangle, for the given triangle is

$Area= \frac{1}{2}AC*BC sinC$

$Area = \frac{1}{2}*12*6 \sqrt 2 sin(105)= 49.2 \ square \ units$

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3 years ago

Help plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I will mark brainliest for correct answer!!!!!!!!!!!

Basile [38]

Answer:

Each transversal crossing a line generates 2 pairs of vertical angles and for 3 transversal crossing the same line it will be 3 x2 = 6 pairs (or 12 angles)

Step-by-step explanation:

Each transversal crossing a line generates 2 pairs of vertical angles and for 3 transversal crossing the same line it will be 3 x2 = 6 pairs (or 12 angles)

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3 years ago

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