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Dimas [21]
3 years ago
7

Quadrilateral WXYZ is dilated by a scale factor of į to form quadrilateral W'X'Y'Z'. What is the measure of side ZW? Z 28 Y" 42

42 W 28​
Mathematics
1 answer:
Brrunno [24]3 years ago
6 0

Answer:

See Explanation

Step-by-step explanation:

Given

<em>The given side lengths are not clear enough:</em>

<em>So, I will give a general explanation.</em>

<em />

From the question, we understand WXYZ is dilated to produce W'X'Y'Z

This implies that the sides of WYZY is multiplied by the scale factor (k) to give W'X'Y'Z'

i.e.

ZW *k =Z'W'

Divide both sides by k to get side length ZW

ZW = \frac{Z'W'}{k}

Assume that:

k = 4 and

Z'W' = 28

ZW = \frac{Z'W'}{k}

ZW = \frac{28}{4}

ZW = 7

<em>Apply these steps and you will get your answer</em>

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The volume of water and a rectangle swimming pool can be modeled by the function v(x)=x^3+13x-210. If the depth of the pool is g
S_A_V [24]

Answer:

Required,

L=\frac{3+\sqrt{37}}{2}-\frac{144}{x-3}

W=\frac{3-\sqrt{37}}{2}-\frac{144}{x-3}

Step-by-step explanation:

Given volume and depth respectively,

V(x)=x^3+13x-210 and x-3

To find length and width of the rectanglular swiming pool we know,

Volume=length\timesheight\timesdepth.

Let depth=D=x-3, length=L, width=W, then

V=DLW

x^3+13x-210= LW(x-3)

LW=\frac{x^3+13x-210}{x-3}

After divide we will get x^2-3x-22 with remainder -144.

Thus,

x^3+13x-210=(x^2-3x-22)(x-3)-144=(x-3)LW

Now to find root of,

x^2-3x-144=\frac{3\pm\sqrt{9+88}}{2}=\frac{3\pm \sqrt{37}}{2}

Thus,

L=\frac{3+\sqrt{37}}{2}-\frac{144}{x-3}

W=\frac{3-\sqrt{37}}{2}-\frac{144}{x-3}

5 0
3 years ago
There are 140 legs on a planet zids have 5 legs and zods have 7 legs h=how many soulutions are there
abruzzese [7]
Number of zids=x
number of zods=y
number of zid legs=5x
number of zod legs=7y

so
5x+7y=140
try to get it into slope intercept from so you can graph is (y=mx+b)
5x+7y=140
subtract 5x from both sides
7y=140-5x
divide both sides by 7
y=20-5/7x
y=-5/7x+20

plug in numbers for x and get numbers for y (you can only plug in multiples of 7 for x so that there are a whole number of zids and since you are counting, x and y must never be negative)

lets try 0 for x

y=-5/7(0)+20
y=20
 so x=0 and y=20 is an answer (if you can have only one of that species)


lets try 7 for x
y=-5/7(7)+20
y=-5+20
y=15

so x=7 and y=15 is an answer


lets try 14 for x

y=-5/7(14)+20
y=-10+20
y=10

so x=14 and y=10 is another answer


lets try 21 for x
y=-5/7(21)+20
y=-15+20
y=5

so x=21 and y=5 is another answer


lets try 28 for x
y=-5/7(28)-20
y=-20+20
y=0

so x=28 and y=0 is an answer (if there can be only one of a species)


if we go further, then y will be negative so the answers are

(x,y)
(0,20)
(7,15)
(14,10)
(21,5)
(28,0)

if it is allowed that only one species exists then there are 5 possible answers
if both must exist simultaneously, then there are only 3 answers
<span />
8 0
4 years ago
A news report says that 28% of high school students pack their lunch.
nata0808 [166]

Answer:

423

     

     

Step-by-step explanation:

4 0
3 years ago
Find the area of the shaded figure below
yawa3891 [41]

Answer: the answer is A

Step-by-step explanation:

7 0
3 years ago
Solve the equation 14 + 14p = 21 for p. A. 1/2 B. 1/3 C. 1/6 D. 1/8
hram777 [196]
It’s 1/2 or A because
5 0
3 years ago
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