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3 years ago

The ratio of the lengths of 3 squares of different sizes is 2:4:7. If the length of the biggest

Mathematics

1 answer:

Slav-nsk [51]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

The largest square is 7-2 = 5 ratio units larger than the smaller square. Hence, each ratio unit stands for (10 cm)/5 = 2 cm. The side length of the smaller square is 2(2 cm) = 4 cm. The perimeter is 4 times that: 16 cm.

The perimeter of the smallest square is 16 cm.

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If f(x) = 3x - 1 and g(x) = x + 2 , find (f - g)(x)

ivolga24 [154]

Answer:

Answer D is the correct answer 4x+1

3 0

4 years ago

The mean speed of vehicles along a stretch of highway is 56 mph with a standard deviation of 4 mph. You

Elenna [48]

The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.

<h3>Z score</h3>

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

$z=\frac{x-\mu}{\sigma }$

Where x is raw score, μ is mean, σ is standard deviation

Given that:

σ = 4, μ = 56, hence

for x = 62:

$z=\frac{62-56}{4 } =1.5$

for x = 47:

$z=\frac{47-56}{4 } =-2.25$

for x = 56:

$z=\frac{56-56}{4 } =0$

The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.

Find out more on Z score at: brainly.com/question/25638875

4 0

2 years ago

The product of two mixed numbers x and y is 10. If x= _ 2/3 and y=_ 3/4 ,<br> find x and y?

Akimi4 [234]

Answer:

x = 2 2/3
y = 3 3/4

Step-by-step explanation:

There may be other ways to do this. Here's the approach I took. Let the integer part of x be represented by "a", and the integer part of y be represented by "b". Now, we have ...

(a +2/3)(b +3/4) = 10

Multiplying by 12, this becomes ...

(3a +2)(4b +3) = 120

There are only 16 divisors of 120, so they can be easily enough checked one at a time.

120 = 1·120 = 2·60 = 3·40 = 4·30 = 5·24 = 6·20 = 8·15 = 10·12

Of these divisors, the ones that are of the form 3a+2 are ...

2, 5, 8, 20 . . . . a=0, 1, 2, 6

The ones that are of the form 4b+3 are ...

3, 15 . . . . b = 0, 3

The factor pair that consists of a number on the first list and a number on the second list is ...

120 = 8·15

corresponding to a=2 and b=3. So, the mixed numbers you want are ...

x = 2 2/3

y = 3 3/4

_____

<em>Check</em>

(2 2/3)·(3 3/4) =2·3 +2·3/4 +2/3·3 +2/3·3/4 = 6 +6/4 +2 +2/4 = 8+8/4 = 10

6 0

3 years ago

Describe each Locus

eduard

Explanation:

1. The set of points 5 cm from the nearest point on a circle of radius 2 cm will be a circle with a radius 5 cm larger: a circle with a radius of 7 cm.

2. The set of points 6 in from the nearest point on a line will be a cylindrical shell 12 inches in diameter centered on the line.

If AB is a line segment, then the shell will have hollow hemispherical ends of radius 6 inches about the end points.

6 0

3 years ago

David was thinking of a number. David doubles it and adds 2.9 to get an answer of 13.2. Form an equation with

Ivenika [448]

Answer:

x2+2.9=13.2

Step-by-step explanation:

4 0

3 years ago