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3 years ago

Rectangle DEFG with vertices D(-4, 3), E(0, 2), F(-2, 6), and G(-6, -5): (x + 4, y + 1)

Mathematics

1 answer:

Maru [420]3 years ago

6 0

Answer:

D'(0,4)

E'(4,3)

F'(2,7)

G'(-2, -4)

Step-by-step explanation:

It's simple. Just add the x and y values by the rule.

For example, say I had (0,0) as a point.

To change it, It'd be simple!

(0+4,0+1) = (4,1)

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To rationalize the denominator 2 sqrt 10/ 3 sqrt 11 you should multiply the expression by which fraction

malfutka [58]

Answer:

Step-by-step explanation:

To rationalise the denominator.

Multiply the numerator/denominator by the radical on the denominator.

The radical on the denominator is $\sqrt{11}$ , thus

Multiply the fraction by

$\frac{\sqrt{11} }{\sqrt{11} }$ → B

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3 years ago

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On a trip, Alexander bought a ping-pong racket for $13. With the tax, he paid $14.04. What is the tax rate, in percent?

Fed [463]

Answer:

8% tax rate.

Step-by-step explanation:

$\frac{14.04}{13} =1.08$

The 8% (0.08) is the tax rate because the 100%, or 1.00, is the original price of the racket, which was $13.

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2 years ago

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The area of a rectangular field is 7050m^2. If the width of the field is 75m, what is its length?

sweet [91]

Answer:

Step-by-step explanation: Area =length × width

7050m^2 = X× 75m

7050 =75X

Divide both sides by 75

7050÷75 =75÷75

74m= X

3 0

2 years ago

The sales tax in your city is 8.8%, and an item costs $63.50. How much tax would you pay on that item?

Lilit [14]

Step-by-step explanation:

63.5*0.088 =5.588 tax for your answer

8 0

2 years ago

How would I go about solving this problem???

schepotkina [342]

So.. if you take a peek at the picture below

the trunk is really just a half-cylinder on top of a square, with a depth of 2 meters

what's the volume? well, easy enough, take the volume of the cylinder, then half it
take the volume of the rectangular prism, and then add them both

$\bf \textit{volume of a cylinder}\\\\

\begin{array}{llll}
C=\pi r^2 h\\\\
\textit{half that}\\\\
\cfrac{\pi r^2 h}{2}
\end{array}\qquad 
\begin{cases}
r=radius\\
h=height\\
-------\\
r=\frac{1}{2}\\
h=2
\end{cases}\implies \cfrac{C}{2}=\cfrac{\pi \left( \frac{1}{2}\right)^2 2}{2}\\\\
-----------------------------\\\\
\textit{volume of a square}\\\\
V=lwh\qquad 
\begin{cases}
l=length\\
w=width\\
h=height
----------\\
l=1\\
w=1\\
h=2
\end{cases}\implies V=2$

now.. for the surface area... $\bf \textit{surface area of a cylinder}\\\\
\begin{array}{llll}
S=2\pi r(h+r)\\\\
\textit{half that}\\\\
\cfrac{2\pi r(h+r)}{2}
\end{array}\begin{cases}
r=radius\\
h=height\\
-------\\
r=\frac{1}{2}\\
h=2
\end{cases}$

now.. for the surface area of the prism... well

is really just 6 rectangles stacked up to each other at the edges

so... get the area of the lateral rectangles, and the one at the bottom, skip the rectangle atop, because is the one overlapping the cylinder, and is not outside, and thus is not surface area then

for the lateral ones, you have a front of 1x1, a back of 1x1 and a left of 1x2 and a right of 1x2, and then the one at the bottom, which is a 1x2

then add both surface areas, and that's the surface area of the trunk

5 0

3 years ago