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RSB [31]
3 years ago
7

Answer the question. Show work plz and thank you. Due today.

Mathematics
1 answer:
Artist 52 [7]3 years ago
5 0

(1)

The square root of 8 is somewhere between 2 and 3, because

2^2=48

So, \sqrt{8}-2 is between -1 and 0, whereas 5-\sqrt{8} is between 2 and 3.

So, we have

\sqrt{8}-2

(2)

The square root of 25 is 5, because 5^2=25

So, the left hand side is exactly

\sqrt{25}-2=5-2=3

You seem to have already computed the right hand side to be 2.30, so we have

\sqrt{25}-2>2.30

You might be interested in
Find the surface area of composite figure. use 3.14 for π. round to the nearest tenth
Andrews [41]

Answer:

  628.0 mm²

Step-by-step explanation:

The total surface area of the figure is the sum of the inside lateral area, the outside lateral area, and the area of the donut bases.

<h3>Lateral area</h3>

The lateral area of a cylinder is ...

  A = 2πrh

The total lateral area of the inside and outside cylinders is ...

  A = 2π(r1)h +2π(r2)h = 2π(r1 +r2)h

  A = 2(3.14)(3 mm +7 mm)(6 mm) = 376.8 mm²

<h3>Base area</h3>

The area of one donut base is the product of the centerline length and the width.

  A = πdw = (3.14)(7 mm +3 mm)(4 mm) = 125.6 mm²

<h3>Total area</h3>

The total surface area of the composite figure is the sum of its lateral area and the area of the two bases.

  surface area = 376.8 mm² +2×125.6 mm² = 628.0 mm²

__

<em>Additional comment</em>

The <em>radius</em> of the centerline of the base donut is the average of the inside and outside radii: half their sum. The <em>diameter</em> of the centerline circle is twice that average radius, so is equal to the sum of the inside and outside radii. This is the value we used above.

The width of the donut is the difference in the radii.

The product of the sum and difference is the same as the difference of the squares of the radii. That difference of squares would be what you have if you compute the overall area and subtract the inner area.

4 0
2 years ago
Tom has twice as many marbles as luke together they have 39 marbles how many marbles does luke have?
Nookie1986 [14]

Answer:

Luke has 13 marbles

Step-by-step explanation:

t = number of marbles Tom has

l = number of marbles Luke has

t = 2l

t+l = 39

Substitute t = 2l into the second equation

2l + l = 39

Combine like terms

3l = 39

Divide by 3

3l /3 = 39/3

l = 13

Luke has 13 marbles

Tom has 2 * 13 = 26 marbles

4 0
4 years ago
Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than $42 on ar
Lemur [1.5K]

Answer:

Step-by-step explanation:

Let x = the number of bottles of paint that Carmen can buy

Let y = the number of boxes of colored pencils that Carmen can buy

A bottle of paint costs $2

A box of colored pencils costs $3.50

She can spend no more than $42 on art supplies. This means

She can buy bottles of paint worth 2×x = $2x

She can buy boxes of colored pencils

worth 3.5 × y = $3.5y

Since the total amount she can spend cannot exceed $42, the equation becomes

2x + 3.5y lesser than or equal to 42

This is shown in the attached photo

b) three different solutions to the inequality would be three different possible values that x and y can take. These are

x = 7 while y = 8

x = 10 while y = 6

x = 14 and y = 4

3 0
4 years ago
During an experiment, 456g of carbon dioxide is produced. What is the mass of carbon dioxide in kg?
34kurt

Answer:

0.456

Step-by-step explanation:

divide the mass by 1000

6 0
3 years ago
An amusement park sells adult tickets and children’s tickets, with adults tickets costing $5 and children’s tickets costing $3.
olya-2409 [2.1K]

Answer:

9 children tickets

Check:

adult is 5$

child3$

6×5=30

9×3=27

30+27=57

Step by step in photo

3 0
3 years ago
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