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Shtirlitz [24]
2 years ago
7

9. Using a twenty sided number cube, what is the probability that you will roll an even number or

Mathematics
1 answer:
IceJOKER [234]2 years ago
3 0

Answer:

0.85

Step-by-step explanation:

total samples cases = 20

chances that are even or odd prime are 17 chances

2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20

probability = 17/20

= 0.85

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What is the point-slope equation of a line if the slope is 3 and it passes through the point (-9, 2
Art [367]

Answer:

The point-slope equation of the line is y - 2 = 3(x + 9)

Step-by-step explanation:

The form of the point-slope equation is y - y1 = m(x - x1), where

  • m is the slope of the line
  • (x1, y1) is a point on the line

∵ The slope of a line is 3

∴ m = 3

∵ The line passes through point (-9, 2)

∵ x1 = -9

∴ y1 = 2

→ Substitute the values of m, x1, and y1 in the point-slope form

∵ y - y1 = m(x - x1)

∴ y - 2 = 3(x - (-9))

→ Remember (-)(-) = (+)

∴ y - 2 = 3(x + 9)

∴ The point-slope equation of the line is y - 2 = 3(x + 9)

6 0
3 years ago
Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from
Lapatulllka [165]
<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units</h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and      y_3=8

The area of a triangle is= \frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]

=|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|

=|-54| = 54 square units

The length of AC = \sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}

                          = \sqrt{(2-12)^{2} +(1-8)^2}

                         =\sqrt{149} units

Let the perpendicular distance from B to AC be = x

According To Problem

\frac{1}{2} \times  x \times \sqrt{149} = 54

⇔x =\frac{108}{\sqrt{149} } units

Therefore the perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units

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2 years ago
Explain why all linear angle pairs must be supplementary, but all supplementary angles do not have to be linear pairs?
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Two angles are supplementary if their measures sum 180°.

Linear angle pairs are adjacent angles (they are together) and they form a straight angle, which is 180°. Therefore, they are supplementary.

But two angles may be separated and yet add 180°, then they are supplementary but are not linear angle pairs.
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Say the distance traveled is 7.2 meters and the time it took to get there was .28 seconds. To find the average speed, you would
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