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Sedaia [141]
3 years ago
12

A printer measuring 25" x

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0
Let the uniform space wall, surrounding the printer be x", then since the printer is to be centered on a rectangular table, the space at each side of the table is x".

Thus, the dimensions of the table is given by 25" + 2x" by 75 + 2x"

Given that the perimeter of the table is 264, recal that the perimeter of a triangle is 2(length + width), thus
2(25 + 2x + 75 + 2x) = 264
2(100 + 4x) = 264
200 + 8x = 264
8x = 264 - 200 = 64
x = 64/8 = 8

Therefore, the uniform space that will surrond the printer is 8".
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Answer:

A: 1,590.00

Step-by-step explanation:

We can use the simple interest rate equation for this problem: p(1 + r)^t

Step 1: Replace the variables with the amounts given

10000(1 + 0.03)^5

Step 2: Solve/Plug in calc

You will get 1590.00

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Х = 3y — 1<br> 3х – бу = 12
Georgia [21]
Answer: x=14 and y=5

Work:
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What are the factors of -9 that have a sum of 0
Bas_tet [7]

Answer:

3 and -3

Step-by-step explanation:

+3 -3 =0

sum mean adding

7 0
3 years ago
The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m
Keith_Richards [23]

Answer:

a) \left(x,y\right)=\left(4.95,-4.95\right)

b) r\angle\theta = 7\angle0.5236\,\text{radians}

Step-by-step explanation:

Polar coordinates are represented as: r\angle\theta, where 'r' is the length (or magnitude) of the line, and '\theta' is the angle measured from the positive x-axis.

in our case:

7\angle\dfrac{3\pi}{4}

to covert the polar to cartesian:

x = r\cos{\theta}

y = r\sin{\theta}

we can plug in our values:

x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}

y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}

the Cartesian coordinates are:

\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)

\left(x,y\right)=\left(4.95,-4.95\right)

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

r^2 = x^2+y^2

r^2 = (6.06)^2+(-3.5)^2

r = \sqrt{48.97} \approx 7

the angle can be found by:

\tan{\theta} = \dfrac{y}{x}

\tan{\theta} = \dfrac{3.5}{6.06}

\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}

\theta = 0.5236 \text{radians}

to convert radians to degrees:

\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ

writing in polar coordinates:

r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}

5 0
3 years ago
A man standing on a lighthouse at a height of 124 feet sights two boats directly in front of him. One is at an angle of depressi
Ksivusya [100]

Answer:

125\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ABC find the length side BC

we know that

tan(62\°)=\frac{124}{BC}

BC=\frac{124}{tan(62\°)}

step 2

In the right triangle ABD find the length side BD

we know that

tan(33\°)=\frac{124}{BD}

BD=\frac{124}{tan(33\°)}

step 3

we know that

The distance between the two boats is the length side CD

CD=BD-BC

substitute the values  

CD=\frac{124}{tan(33\°)}-\frac{124}{tan(62\°)}=125\ ft

5 0
3 years ago
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