20 Mathematically similar wooden blocks are made in a workshop.
There are small blocks and there are large blocks.
The volume of each small block is 300 cm
Given that
the surface area of each small block: the surface area of each large block - 25:36
DO NOT WRITE IN THIS AREA
work out the volume of each large block.

Answers

Answer 1

Answer: [tex]518.4\ cm^3[/tex]

Step-by-step explanation:

Given

The volume of the small block is [tex]300\ cm^3[/tex]

The ratio of the surface area of small to large block is [tex]25:36[/tex]

Suppose the length of the small and large box is a and b

[tex]\therefore \left(\dfrac{6a^2}{6b^2}\right)=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)^2=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)=\dfrac{5}{6}\\\\\therefore \text{Ratio of the volumes of two is }\\\\\Rightarrow \dfrac{a^3}{b^3}=\dfrac{5^3}{6^3}\\\\\Rightarrow \dfrac{V_s}{V_l}=\dfrac{125}{216}\\\\\Rightarrow V_l=300\times \dfrac{216}{125}\\\\\Rightarrow V_l=518.4\ cm^3[/tex]


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Answer:

Hi there user! I'll help you!

96 should be the correct answer!

Step-by-step explanation:

4 x 3 = 12

4 x 7 = 28

5 x 7 = 35

3 x 7 = 21

12 + 28 + 35 + 21 = 96

The carnival began at 12:37 pm and ended at 4:31. How long was the carnival

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Answer: 3 hours and 54 minutes

Step-by-step explanation:

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Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

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Answers

Answer:

5m a second

Step-by-step explanation:

Answer:

5 mps

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According to the graph, what is the value of the constant in the equation below?
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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Let e be the line through A (-4,5) and B (3. t) that is perpendicular to the line through
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Answers

Answer:

Step-by-step explanation:

product of slopes of perpendicular lines=-1

(t-5)/(3+4)×(2-3)/(-4-1)=-1

(t-5)/7×(-1/-5)=-1

(t-5)/35=-1

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t=-35+5

t=-30

2.

slopes of parallel lines are equal.

(-2+3)/(t-4)=(-1-4)/(4+2)

1/(t-4)=-5/6

t-4=-6/5

t=4-6/5=(20-6)/5=14/5

3.

x>0,y<0

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Matthew bought 45 oz of flour for his bakery. He used 18.3 oz to make a loaf of bread, and 0.83 oz for each muffin. How many muffins did Matthew make if he had 13.42 oz of flour left over?

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He made about 16 muffins

Please use system of linear equations by elimination OR substitution. I need the work as well please.

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1) P= 64 cm, width = x, length = 14 + x

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x = 9

AREA = 9 x (9+14)

Area = 9 x 23

Area = 207 cm

2) smaller no. = y, bigger no. = x

x - y = 3

2x+1/2y=36

Next, multiply 2 to first equation and find y:

2x-2y=6

5/2y=30

y = 12

Substitue y to x-y=3 to find x,

x = 15

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5x + 4y = $6.15

8x + 3y = 9.85$

8x + 7y = ?

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8x + 3y = 9.85$ multiply both sides by 4

-15x + 32x = (-3)*6.15 + 4*9.85

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8x = (8/7) x 19.87

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32y - 15y = 8x6.15 - 5*9.58

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y = 91/17) x 1.3

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I’ve got l = 12 and w = 8

5) answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° = \frac{ab}{bc}

but bc = 20 feet.

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⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

6) The answer is teh attachment !

7) 3x-x+2=4

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Answers

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer A

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Answers

Answer:

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Step-by-step explanation:

Given:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answers

Answer:

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x = 4

Step-by-step explanation:

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Answers

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Step-by-step explanation:

To be precise means for the measurement to be close to the exact value. To be accurate means to get the exact measurement.

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Answers

C is the correct answer

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g(x) = (2x)²

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

[tex]\text{D. }b^2-4ac>0[/tex]

Step-by-step explanation:

The equation [tex]b^2-4ac[/tex] represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.

For any quadratic:

If the discriminant is positive, or greater than 0, the quadratic has two solutionsIf the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).If the discriminant is negative, or less than 0, the quadratic has zero solutions

In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have [tex]b^2-4ac>0[/tex].

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