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Marina86 [1]
3 years ago
9

Find the value of x, given cos 0 = 0.4 PLEASE HELP!!!!!! And explain if possible

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

x=30

Step-by-step explanation:

For each right-angled triangle:

\cos\theta=\frac{cathetus \ adjacent \ \theta}{hypotenuse}

Because \cos \theta=0.4, \ \ cathetus\ adjacent \ \theta \ = \ 12, \ \ \ hypotenuse=x

we have an equation

0.4=\frac{12}x

multiplying both sides by x, we get 0.4x=12

dividing both sides by 0.4 and x=\frac{12}{0.4}

using calculator, we divide 12 by 0.4

and finally x=30


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Illusion [34]

for 6

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3 years ago
What is the area of a triangle with vertices (3,0) (9,0) (7,6)
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Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (3,0) (9,0) (7,6). So

A = \pm 0.5 \left|\begin{array}{ccc}3&0&1\\9&0&1\\7&7&1\end{array}\right|

A = \pm 0.5(3*0*1+0*1*7+1*9*7-0*7*1-0*9*1-3*1*7)

A = \pm 0.5*(63-21)

A = \pm 0.5*42 = 21

The area of the triangle is of 21 units of area.

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Step-by-step explanation:

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luda_lava [24]

Answer:

y = (1/3)x + 7

Step-by-step explanation:

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y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.

The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.

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