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]


Related Questions

48% as its simplest fraction

Answers

Answer:

12/25

Step-by-step explanation:

Percent means out of 100

48% means 48/100

Divide top and bottom by 4

12/25

It would be 12/25.
48/4=12 and 100/4=25, so 12/25.

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

Answers

Answer: 3 hours and 54 minutes

Step-by-step explanation:

Mrs. Jackson has only $127.50 to spend at a clothing store. He
wants to buy a shirt that costs $87, including tax, and some
bracelets that cost $4.50 each, including tax.
Write an equation to determine, x, the amount of bracelets Mrs.
Jackson could buy.
Equation: ________________________________________________
Solve the equation to determine the number of bracelets Mrs.
Jackson could buy.

Answers

Answer:

$4.50x = $127.50 - $87

x = $40.50 / $4.50

x = 9

Step-by-step explanation:

The amount she can spend on bracelets is the total amount she wants to spend less the cost of the shirt

$4.50x = $127.50 - $87

4.50x = 40.50

divide bot side by 4.5

x = 9

Can someone help me on this.

Answers

Answer:

The answer would be d

Step-by-step explanation:

Answer:

Step-by-step explanation:

3^(-5) is equivalent to:

    1

----------

 3^5

select the equivalent expression PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

A    4^15 * 5^10

Step-by-step explanation:

When moving to the other side of a fration the exponent changes sign

4^3 / 5^-2 = 4^3 * 5^2

When taking an exponent to anexponet, multiply the exponents

(4^3 * 5^2)^5 = 4^15 * 5^10

Answer A

How can you boost your mental and emotional health at school A. Do not bother taking notes in class. B. Develop good note-taking and study habits. C. Avoid making new friends. D. Focus on extracurricular activities and clubs rather than class.

Answers

Answer B: Develop good note-taking and study habits.

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

Answers

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

64 = x + x + 14 + x + 14 + x

64 = 4x + 28

4x = 64 - 28

4x = 36

x = 36/ 4

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

3) x = pencil, y = pen

5x + 4y = $6.15

8x + 3y = 9.85$

8x + 7y = ?

5x + 4y = 6.15$ multiply both sides by -3

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

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

7x = 19.87 multiply both sides by 8/7

8x = (8/7) x 19.87

Add both equations:

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

17y = 1.3

y = 91/17) x 1.3

7y = (7/17)x 1.3

8x + 7y = (8/7) x 19.87 + (7/17) x 1.3

8x + 7y = $23.244

4) 2l + 2w = 0

2 x 2l + 2 x 1/2w = 40 + 16

l+w = 20

4l+w = 56

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.

⇒ tan 55 ° =   \frac{ab}{20}

⇒ 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

HOPE THE ANSWERS HELP!! PL MARK ME BRAINLIEST!

ANSWER ASAP!!!!!!!!!

Answers

C. both axis’ are growing at the same rate with the same amount.

A carpenter bought a piece of wood that was 6.85 meters long. Then she sawed 0.57 meters off the end. How long is the piece of wood now? meters. help plz​

Answers

Answer:

6.28meters

it is the aswer if wrong please tell me

Work out the size of angle ACB

Answers

Step-by-step explanation:

AOB=2ACB

ACB=112/2=56

the picture frame shown are both squares the area of a larger frame is four times the area of the smaller frame find the side length of the larger frame. a=64 in sq​

Answers

Answer:

The side length of the larger square is 32

Step-by-step explanation:

Its 32 because the side lengths for the small square are 8 because  8 by 8 is 64. Multiply 8 by 4 which is 32.

Answer:

The side length of the larger frame is 128 inches.

Step-by-step explanation:

64 × 4 = 256

256 ÷ 2 = 128

Trying to find the surface area and can not get the answer.

Answers

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

(3 - 8a)(-1)
please help asap

Answers

Answer:

-3 + 8a

Step-by-step explanation:

multiply 3 by -1 as well as -8a by -1 and you'll get -3 + 8a

please provide a answer

Answers

Answer:

uhh, look it up

Step-by-step explanation:

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Answers

Answer:

it's the fourth one

Step-by-step explanation:

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Calcule a área da região sombreada da figura abaixo.
120°
4 cm
B

Answers

Answer:

Area of segment = 9.8 cm² (Approx.)

Step-by-step explanation:

Given:

Angle θ = 120°

Radius of circle = 4 cm

Find:

Area of segment

Computation:

Area of segment = [θ/360][π][r]² - [1/2][r²][sinθ]

Area of segment = [120/360][3.14][4]² - [1/2][4²][sin120]

Area of segment = [0.333][3.14][16] - [0.5][16][0.866]

Area of segment = 16.7299 - 6.28

Area of segment = 9.8019

Area of segment = 9.8 cm² (Approx.)

According to the graph, what is the value of the constant in the equation below?
(0.5, 1) (2,4) (3,6) (5, 10)
A. 1
B. 2
C. 0.5
D. 5

Answers

Answer:

B.

Step-by-step explanation:

y = mx + b

y = 2x

You have a group of 5 students who all measure the length of a salamander that is 17 cm long. The measurements are: 16.1 cm, 16. 2 cm, 16.1 cm, 16.2 cm, and 16.2 cm. These measurements are ______.

Answers

Answer: precise but not accurate

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.

In this case, since the students got values that are close to 17cm, it means that they are precise but they are not accurate since they didn't get the exact measurement which is 17cm.

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?

Answers

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which of the following polynomials is in standard form? (PICTURE)

Answers

Answer:

D) exponents are in decreasing order

Step-by-step explanation:

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Answers

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:

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point (17,18) is located in quadrant​

Answers

Answer:

25

Step-by-step explanation:

add 7+ to the quadrant to 18+

Answer:

Step-by-step explanation:

x and y both positive.

so it lies in first quadrant.

Write the equation of the line in fully simplified slope-intercept form.

Answers

y=-5x+6
...................

Find the side length x

Answers

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

7^2+24^x^2

49+576=x^2

625=x^2

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Let e be the line through A (-4,5) and B (3. t) that is perpendicular to the line through
P (1, 3) and Q(-4, 2). Find the value of t.



Let l be the line through A (4, -3) and B (t, -2) that is parallel to the line through
P(-2, 4) and Q (4, -1). Find the value of t.



Determine the signs of sino coso and tane if O is an angle in standard position and
P (2,-5) is a point on its terminal side.​

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

t-5=-1×35=-35

t=-35+5

t=-30

2.

slopes of parallel lines are equal.

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

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t-4=-6/5

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3.

x>0,y<0

so P lies in4th quadrant.

except cos and sec all are negative.

so only cos and sec are positive.

A football feild is about 100 m long if it takes a person 20 seconds to run its length how fast (what speed) were they running???? Please help

Answers

Answer:

5m a second

Step-by-step explanation:

Answer:

5 mps

its simple, all you have to do is times 5 meters by 20 seconds and you get 100 meters. so its 5 mps. (sorry i explained it kinda weird)

f(x)=x². What is g(x)?
A. g(x) = 2x²
B. g(x) = (½x)²
C. g(x) = (4x)²
D. g(x) = (2x)²

Answers

C is the correct answer

Answer:

g(x) = (2x)²

Step-by-step explanation:

Birthstones of students in your class
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Answers

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Answers

Answer: 70ft

Step-by-step explanation:

ht= (-3)^2 + 15(3) + 16

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ht= 70

70 ft. Hope it helps!

Need help with this question!!

Answers

x^2 = 2 × ( 2 + 4 )

x^2 = 2 × 6

x^2 = 12

x = √12

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Answer:

x = 4

Step-by-step explanation:

Assume the dimension 4 is a diameter, and x is a tangent to the circle.

Use the tangent/secant formula to find

x*x = 2*(2+4)

x^2 = 16

x = 4

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