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Schach [20]
3 years ago
15

Side V W is parallel to Side Y Z in the map below. Triangle V X W. Side V W is 4 miles and side V X is 3 miles. Triangle X Z Y.

Side X Z is 9 miles and side Y Z is x miles. Which proportion solves for the distance between Y and Z? StartFraction 3 Over 9 EndFraction = StartFraction 4 Over x EndFraction Three-fourths = StartFraction x Over 9 EndFraction Four-thirds = StartFraction 9 Over x EndFraction StartFraction 3 Over x EndFraction = StartFraction 4 Over 9 EndFraction
Mathematics
2 answers:
Marrrta [24]3 years ago
4 0

Answer:

3/9=4/x

Step-by-step explanation:

I just took the test and got it right

Tju [1.3M]3 years ago
3 0

Answer:

A)    StartFraction 3 Over 9 EndFraction = StartFraction 4 Over x EndFraction

Step-by-step explanation:

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Nu is designing a rectangular sandbox.The bottomm is 16 square feet.Which dimensions require the least amount of materail for th
zzz [600]

Given Information:  

Area of rectangle = 16 square feet

Required Information:  

Least amount of material = ?

Answer:

x = 4 ft and y = 4 ft

Step-by-step explanation:

We know that a rectangle has area = xy and perimeter = 2x + 2y

We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.

So we have

xy = 16  

y = 16/x

p = 2x + 2y

put the value of y into the equation of perimeter

p = 2x + 2(16/x)

p = 2x + 32/x

Take derivative with respect to x

d/dt (2x + 32/x)

2 - 32/x²

set the derivative equal to zero to minimize the perimeter

2 - 32/x² = 0

32/x² = 2

x² = 32/2

x² = 16

x = \sqrt{16} = 4 ft

put the value of x into equation xy = 16

(4)y = 16

y = 16/4

y = 4 ft

So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.

Verification:

xy = 16

4*4 = 16

16 = 16 (satisfied)

7 0
3 years ago
A triangle has two sides that measure 4.56 cm and 8.65 cm. Which could be the measure of the third side?
sertanlavr [38]
To test for a triangle, the two smallest sides added together have to be greater than the third side.

3.95 + 4.56 > 8.65
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this is false

4.56 + 8.65 > 10.31
13.21 > 10.31
could be it

4.56 + 8.65 > 13.21
13.21 > 13.21
no, this would mean they're equal

4.56 + 8.65 > 20.25
13.21 > 20.25
this is also false

<span>B. 10.31 cm
</span>
6 0
3 years ago
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podryga [215]

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3 years ago
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bekas [8.4K]
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Step-by-step explanation:

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