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dezoksy [38]
3 years ago
15

Stack of wood 4 feet wide 8 feet long and 4 feet high is equal to 1 quart of wood. How many quarts would a pie 4 feet wide and 1

6 feet long and 4 feet high contain
Mathematics
1 answer:
Semmy [17]3 years ago
6 0

Answer:

2 quarts

Step-by-step explanation:

Since a stack of  wood 4 feet wide 8 feet long and 4 feet high is equal to 1 quart of wood., then dimensionally, we write it as 4 × 8 × 4.

We then need to find the number of quarts in a pie of 4 feet wide and 16 feet long and 4 feet high. We write it dimensionally as 4 × 16 × 4.

Since 1 quart = 4 × 8 × 4, then the number of quarts in 4 × 16 × 4 is

4 × 16 × 4 × 1 quart/4 × 8 × 4 = 2 × 1 quart = 2 quarts

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The answer is b (x-1)^2
5 0
3 years ago
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If (x^2+1)/x = 7 find x^2+(1/x^2)
White raven [17]

Answer:

x²+(1/x²) = 47

Step-by-step explanation:

by identity : (a+b)² = a²+b²+2ab

(x+1/x)²= x²+(1/x)²+2(x)(1/x)

(x+1/x)²= x²+(1/x²)+2....(1)

since : (x²+1)/x = 7

(x²/x) +(1/x) = 7

x + (1/x )= 7

put the value for : x +(1/x) in (1) :

49 = x²+(1/x²)+2

x²+(1/x²) = 47

4 0
3 years ago
What are the properties used to solve 4(x+3)=20
ryzh [129]

Answer:

Multiproperty

Step-by-step explanation:

To solve this problem, we use different properties to arrive at our answer.

  Given expression;

               4(x + 3) = 20;

   First we use the distributive property to expand;

              4x + 12  = 20

       Now use subtraction property by adding (-12) to both sides;

              4x + 12 + (-12)  = 20 + (-12)

              4x  = 8

           you can now divide by 4,

                   x  = 2

4 0
3 years ago
Two figures are similar with a scale factor of 5/2.
aev [14]

Answer:

If we have two figures, F and F'

Such that if we start with F, and dilate it with a scale factor K, we get F'.

We will have:

All the measures of F', are K times the correspondent measures of F.

Then if F has  s₁, s₂, ..., sₙ sides, the sides of F' will be:

K*s₁, K*s₂, ..., K*sₙ

The ratio between correspondent sides will be equal to K

The ratio between perimeters will also be equal to K (because the perimeter is the sum of all the sides of each figure, so we can just take K as a common factor)

In the case of the area, because we usually multiply a measure by another, a factor K^2 will  appear, and the quotient between the areas is K^2

And finally, for the volumes, the ratio will be K^3

a) The ratio of corresponding lengths is K, in this case is 5/2

b) The ratio of the perimeters is K, in this case is 5/2

c) The ratio of the areas is K^2, in this case is (5/2)^2 = 25/4

d) The ratio of the areas is K^3, in this case is (5/2)^3 = 125/8

e) Two figures are similar if the figures have the same shape, then the corresponding angles are exactly the same, then the ratio of corresponding angle measures is 1.

6 0
3 years ago
What is -1/6 multiplied by 6
Tems11 [23]

Answer:

-1

Step-by-step explanation:

<u>Step 1:  Multiply </u>

-\frac{1}{6} * \frac{6}{1}

-\frac{1*6}{6*1}

-\frac{6}{6}

-1

Answer: The correct answer is -1

4 0
3 years ago
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