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Firdavs [7]
3 years ago
7

Oscar is making a play block for his baby sister by gluing fabric over the entire surface of a foam block. How much fabric will

Oscar need 2.3 in 2.3 in 6.1 in
Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

66.7 in³

Step-by-step explanation:

Find the surface area

A = 2.3×2.3×2 + 2.3×6.1×2 + 2.3×6.1×2

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1. Charlene wants to center a rectangular pool in her backyard so that the edges of the pool are an equal distance from the edge
Inga [223]

First, we have to calculate the length of the sides of the pool, we are told that the scale factor of the backyard to the pool size equals 1/2, then we can find the length of the sides of the pool by multiplying the lengths of the sides of the backyard by 1/2, like this:

length of the pool = length of the yard * 1/2

width of the pool = width of the yard * 1/2

By replacing the 60 m for the length of the yard and 50 m for the width, we get:

length of the pool = 60 * 1/2 = 30

width of the pool = 50 * 1/2 = 25

Let's call x1 to the distance from the base of the pool to the bottom side of the yard and x2 to the distance from the top side of the pool to the top side of the yard, then we can formulate the following equation:

width of the yard = width of the pool + x1 + x2

Since we want the edges to be at an equal distance, x1 and x2 are the same, then we can rewrite them as x:

width of the yard = width of the pool + x + x

width of the yard = width of the pool + 2x

Replacing the known values:

60 = 30 + 2x

From this equation, we can solve for x to get:

60 - 30 = 30 - 30 + 2x

30 = 2x

30/2 = 2x/2

15 = x

x = 15

Now, let's call y1 to the distance from the right side of the corresponding side of the yard and y2 to the distance from the left side of the pool to the left side of the yard, with this, we can formulate the following equation:

length of the yard = length of the pool + y1 + y2

Since we want the edges to be at an equal distance, y1 and y2 are the same, then we can rewrite them as y:

length of the yard = length of the pool + y + y

length of the yard = length of the pool + 2y

Replacing the known values:

50 = 25 + 2y

50 - 25 = 25 - 25 + 2y

25 = 2y

25/2 = 2y/2

12.5 = y

y = 12.5

Now, we know that the pool must be at a distance of 15 m from the horizontal sides of the pool to the horizontal sides of the yard and that it must be at a distance of 12.5 m from the vertical sides of the pool to the vertical sides of the yards.

Here is a figure that depicts the results:

5 0
1 year ago
john's dad gave him 8 3/4 pieces of wood. he used 4 2/3 pieces to make a bird house. his friend david then asked for 1 1/2 piece
Serjik [45]
Ok so this all about subtracting fractions this is what you want to do:

you can change 8 3/4 and 4 2/3 to have the same value and deominator
8 3/4 = 8 9/12(multiply both sides by 3)
4 2/3 = 4 8/12(multiply both sides by 4)
you do this because 12 is divisible by 3 and 4

then, subtract 4 8/12 from 8 9/12 because John is using some of the wood his dad gave him.
then subtract once again, taking 11/2 away from your difference.
again match the deominator of 11/2 to the deominator of your difference which should be 12. another divisible of 12 is 2 and 6.
11/2 = 66/12 = 5 6/12(multiply both the top and bottom by 6)
and start subtracting.

so John should have -1 5/12(?) wood left


3 0
3 years ago
Let f(x)=3x^2+2.
Leona [35]
You would multiply it by 4
4(3x^2 +2 )
12x^2 +8
6 0
3 years ago
Simplify by using order of operations: 4 + (9∙2) ÷ (4 - 1) - 4
Stella [2.4K]

Answer:

20

Step-by-step explanation:

Use <u>PEMDAS</u>

P = parenthesis

E = Exponents

M = Multiplication*

D = Division*

A = Addition**

S = Subtraction**

*either can come first, it just depends which comes first in the equation.

**either can come first, it just depends which comes first in the equation.

<em>Step 1 : Write equation</em>   4( 9 × 2 ) ÷ ( 4 -1 ) - 4

<em>Step 2: Solve in parenthesis   </em>4(18) ÷ (3) - 4

<em>Step 3: Solve multiplication   </em> 72 ÷ 3 - 4

<em>Step 4: Solve division               </em>24 - 4

<em>Step 5 : Solve subtraction</em>         20

3 0
3 years ago
Read 2 more answers
I will give brainly help.
Burka [1]

Answer:

Company G charges 5 more dollars per hour than Company H.

5 0
2 years ago
Read 2 more answers
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