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expeople1 [14]
3 years ago
6

72 is what percent of 160?

Mathematics
2 answers:
Alchen [17]3 years ago
5 0

72/160=?

Divide 72 by 160 to find the percent.

72/160=0.45

72 is 45% of 160.

I hope this helps :)

dem82 [27]3 years ago
4 0
72 is 45% of 160. I'm 100% positive about it
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On a certain standardized test used for college entrance purposes, the mean score was 21 and the standard deviation was 5. The d
Fiesta28 [93]

Answer:

A

Step-by-step explanation:

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Read 2 more answers
Determine whether the pair of lines is parallel, perpendicular, or neither. Y=-6/5x+2 Y=6/5x+2
max2010maxim [7]

k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1\\\\k\ ||\ l\iff m_1=m_2

k:y=-\dfrac{6}{5}x+2\to m_1=-\dfrac{6}{5}\\\\l:y=\dfrac{6}{5}x+2\to m_2=\dfrac{6}{5}\\\\m_1\neq m_2\to\text{no parallel}\\\\m_1\cdot m_2=-\dfrac{6}{5}\cdot\dfrac{6}{5}\neq-1\to\text{ no perpendicular}

Answer: NEITHER

4 0
3 years ago
The line on the graph passes through to points A (1, 3) B (7, 1)
Flura [38]

Answer:

a. Gradient of line AB is -\frac{1}{3}

b. The gradient of a line perpendicular to line AB is 3

c. The equation of a line passing through point (4,2) and perpendicular to AB is y = 3x - 10

Step-by-step explanation:

a.

Given

Point A (1, 3) B (7, 1)

Required

Gradient of AB

Gradient of a line is represented by m

m is calculated using the following formula

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}}

Where the general representation of the coordinates are A(x_1,y_1) and B(x_2,y_2)

<em>From the given data, we have that</em>

A(x_1,y_1) = A(1,3)

B(x_2,y_2) = A(7,1)

<em>So, from there we know that</em>

x_1 = 1;y_1 =3; x_2 = 7;y_2 =1

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}} becomes

m = \frac{1 - 3}{7 - 1}

m = \frac{-2}{6}

m = -\frac{1}{3}

b.

Required

Find the gradient of a line perpendicular to AB

<em>Recall that gradient of a line is represented by m</em>

The condition for perpendicularity is that m_1.m_2 = -1

In (a) above, we solved the gradient of line AB to be -\frac{1}{3}

Let m_1 represent gradient of line AB

Hence, m_1 = -\frac{1}{3}

Substitute -\frac{1}{3} for m_1 in  m_1.m_2 = -1

<em>This will give</em>

\frac{-1}{3} * m_2 = -1

Multiply both sides by -3

-3 * \frac{-1}{3} * m_2 = -1 * -3

m_2 = -1 * -3

m_2 = 3

Hence, the gradient of a line perpendicular to line AB is 3

c.

Required

Find the equation of a line passing through point (4,2) and perpendicular to AB

Equation is calculated using the gradient formula

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}}

Since only one point is known, the formula is represented as follows

m = \frac{y - y_{1} }{x - x_{1}}

Where x_1 = 4; y_1 = 2

Since, the line is perpendicular to line AB, then its gradient m is equal to 3 (as calculated in b above)

So, we have x_1 = 4; y_1 = 2; m = 3

By substitution

m = \frac{y - y_{1} }{x - x_{1}} becomes

3 = \frac{y - 2}{x - 4}

Multiply both sides by x - 4

3 * (x - 4) = \frac{y - 2}{x - 4} * (x - 4)

3(x - 4) = {y - 2}

Open brackets

3x - 12 = y - 2

Make y the subject of formula

3x - 12 + 2= y

3x - 10 = y

Reorder

y = 3x - 10

Hence, the equation of a line passing through point (4,2) and perpendicular to AB is y = 3x - 10

3 0
3 years ago
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