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3 years ago

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A cedar board is 2 inches long and 8 feet long. You will need to cut down the length of the board into 1 1/3 inches long. How ma

ny pieces can u cut from an 8 inch long board

1 answer:

My name is Ann [436]3 years ago

4 0

Answer:

You will be able to cut at least 6 pieces

Step-by-step explanation:

You might be interested in

Find an expression which represents the difference when (6x-3y) is subtracted from (9x+2y) in simplest terms.

Alex73 [517]

Answer:

$3x+5y$

Step-by-step explanation:

Subtract (6x-3y) from (9x+2y):

$(9x+2y)-(6x-3y)$

This can also be seen as:

$(9x+2y)-1(6x-3y)$

Distribute the -1 to (6x-3y):

$(9x+2y)-1(6x)-1(-3y)\\\\(9x+2y)-6x+3y$

Simplify the parentheses:

$9x+2y-6x+3y$

Group like terms:

$(9x-6x)+(2y+3y)$

Combine:

$3x+5y$

This expression can't be further simplified. Therefore, 3x+5y is the answer.

:Done

6 0

2 years ago

Assume that the terminal side of thetaθ passes through the point (negative 12 comma 5 )(−12,5) and find the values of trigonomet

zmey [24]

Answer:

$\sin \theta = \dfrac{5}{13}$ and $\sec \theta = -\dfrac{13}{12}$

Step-by-step explanation:

Assume that the terminal side of thetaθ passes through the point (−12,5).

In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.

Using Pythagoras theorem:

$hypotenuse^2=perpendicular^2+base^2$

$hypotenuse^2=(5)^2+(12)^2$

$hypotenuse^2=25+144$

$hypotenuse^2=169$

Taking square root on both sides.

$hypotenuse=13$

In a right angled triangle

$\sin \theta = \dfrac{opposite}{hypotenuse}$

$\sin \theta = \dfrac{5}{13}$

$\sec \theta = \dfrac{hypotenuse}{adjacent}$

$\sec \theta = \dfrac{13}{12}$

In second quadrant only sine and cosecant are positive.

$\sin \theta = \dfrac{5}{13}$ and $\sec \theta = -\dfrac{13}{12}$

6 0

3 years ago

Please answer this thanks

-BARSIC- [3]

Answer:

ED = 32.5

BE = 14.4

Step-by-step explanation:

Ab = 20

AC = AB + 5 = 20 + 5 = 25

AC / AB = 1.25

AB * 1.25 = AC

This means that:

AE * 1.25 = ED

CD / 1.25 = BE

AE * 1.25 = ED

26 * 1.25 = 32.5

CD / 1.25 = BE

18 / 1.25 = 14.4

4 0

2 years ago

Read 2 more answers

Which, if any, of A. (4, π/6), B. (−4, 7π/6), C. (4, 13π/6), are polar coordinates for the point given in Cartesian coordinates

alisha [4.7K]

Answer:

The polar coordinates of $}\left(2,\:2\sqrt{3}\right)$ are $\left(4,\:\frac{\pi }{3}\right)$ .

Step-by-step explanation:

To convert Cartesian coordinates $\:\left(x,\:y\right)$ to Polar coordinates $\:\left(r,\:\theta \right)$ apply:

$r=\sqrt{x^2+y^2}\quad \theta =\arctan \left(\frac{y}{x}\right)$

$x=2\\\\y=2\sqrt{3}$

$r=\sqrt{x^2+y^2}\\r=\sqrt{2^2+\left(2\sqrt{3}\right)^2}\\r=4$

$\theta =\arctan \left(\frac{y}{x}\right)\\\theta=\arctan \left(\frac{2\sqrt{3}}{2}\right)\\\theta=\frac{\pi }{3}$

The polar coordinates of $}\left(2,\:2\sqrt{3}\right)$ are $\left(4,\:\frac{\pi }{3}\right)$ .

7 0

2 years ago

What is the pattern of 1/16, 1/8, 3/16, 1/4, write the next three fractions?

hammer [34]

First we will find the difference between the first two fractions
1/8-1/16=
here the common dinominator is 16 so we will get the following out of the subtraction
1/8-1/16=1/16
D=1/16
to get the next three, we will just add the difference to the previous fraction to get the next fraction.
so our pattern will be 1/16, 1/8, 3/16, 1/4, 5/16, 3/8, 7/16

6 0

3 years ago