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3 years ago

Lines that are perpendicular have slopes that are

Mathematics

2 answers:

Rus_ich [418]3 years ago

6 0

Answer:

negative reciprocals of each other

Pachacha [2.7K]3 years ago

5 0

Answer:

Negative reciprocals of each other

Step-by-step explanation:

Multiplying slopes of perpendicular lines give -1.

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SOMEONE PLEASE HELP!

prisoha [69]

Answer:

$XY=16.2$

Step-by-step explanation:

It is given that the two figures are similar. This means that the ratio between the corresponding sides is equal. In essence, a side in the larger figure over its corresponding side in the smaller figure is equal to another side in the larger figure over its corresponding side in the smaller figure. Therefore, one can set up a proportion and solve to find the unknown side.

$\frac{WX}{ST}=\frac{XY}{TU}$

Substitute,

$\frac{18}{3}=\frac{XY}{2.7}$

Simplify,

$6=\frac{XY}{2.7}$

Inverse operations,

$6=\frac{XY}{2.7}$

$6(2.7)=XY\\\\16.2=XY$

8 0

2 years ago

Due in 10 min help! <br> Find t.

lys-0071 [83]

Given:

A right angle triangle with angles 45, 45, 90 degrees.

Hypotenuse of the triangle = $7\sqrt{2}$ mm

Base of the triangle = t

To find:

The value of t.

Solution:

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

Using this trigonometric ratio in the given triangle, we get

$\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}$

$\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}$

$\dfrac{7\sqrt{2}}{\sqrt{2}}=t$

$7=t$

Therefore, the value of t is 7 millimetres.

8 0

2 years ago

nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40

ziro4ka [17]

Answer:

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Step-by-step explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels ( $V_{net}$ ), measured in cubic milimeters, is the product of the number of elements ( $n$ ), no unit, and the volume of each element ( $V$ ), measured in cubic milimeters. That is:

$V_{net} = n\cdot V$ (1)

By volume equation of right cylinder, we have the following formula:

$V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h$ (2)

Where:

$n$ - Amount of nickels, no unit.

$D$ - Diameter of nickel, measured in milimeters.

$h$ - Thickness of nickel, measured in milimeters.

If we know that $n = 40$ , $D = 20\,mm$ and $h = 2\,mm$ , then the net volume of the stack of nickels is:

$V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)$

$V_{net} \approx 25132.741\,mm^{3}$

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

8 0

2 years ago

An investment of P=1237.50 is compounded annually with a 6.75% APR . Find the value of the investment after 5 and a half years.

Ber [7]

Answer:

Under compound interest, not only does the principal generate interest, so does the previous accumulated interest. The future value F of P dollars compounded annually for t years with an annual percentage rate (APR) r expressed as a decimal is .

5 0

2 years ago

Read 2 more answers

How do i do slope-intercepts

timama [110]

Answer:

To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Step-by-step explanation:

3 0

2 years ago