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Dmitrij [34]
3 years ago
15

A rectangular block of ice measures 42 cm × 25 cm × 18 cm. Calculate its total

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0

Answer: T.S.A = 4512cm^2

volume = 18900cm^3

weight = 17.01 kg

Step-by-step explanation:

T.S.A of cuboid = 2(lb+bh+lh)

= 2(42x25 + 25x18 + 42x18)

=2(1050 + 450 + 756)

=2 x 2256

= 4512cm^2

to find weight, we've to find the volume of the ice cube

therefore, volume of a cuboid = lbh

=42 x 25 x 28

=18900cm^3

weight of 1cm^3 of ice = 0.9grams

therefore weight of 18900cm^3 of ice = 18900 x 0.9

= 17010 grams = 17.01kg

Hope it helped u,

pls mark as the  brainliest        - Ayaan707 for help :) -

^_^

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Answer:

See the attached image for the answers and the working out.

Step-by-step explanation:

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4 years ago
. The perimeter of a square is 8y – 12. The area of the square is 100 square units. What is the value of y?
evablogger [386]

Answer:

y = 6.5 units

Step-by-step explanation:

Let L be the length of sides of the square.

Given the following data;

Perimeter of square = 8y - 12

Area of square = 100 square units

To find the value of y;

Area of a square = L²

Substituting into the formula, we have;

100 = L²

L = √100

L = 10 units

Mathematically, the perimeter of a square is given by the formula;

Perimeter of a square = 4L

Substituting into the formula, we have;

8y - 12 = 4*10

8y - 12 = 40

8y = 40 + 12

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y = 52/8

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6 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLY PLEASE HELP!!!!!!!
marta [7]

Answer:

r² = 0.5652  < 0.7 therefore, the correlation between the variables does not imply causation

Step-by-step explanation:

The data points are;

X,          Y

0.7,       1.11

21.9,     3.69

18,         4

16.7,      3.21

18,         3.7

13.8,      1.42

18,          4

13.8,      1.42

15.5,      3.92

16.7,       3.21

The correlation between the values is given by the relation

Y =   b·X + a

b = \dfrac{N\sum XY - \left (\sum X  \right )\left (\sum Y  \right )}{N\sum X^{2} - \left (\sum X  \right )^{2}}

a = \dfrac{\sum Y - b\sum X}{N}

Where;

N = 10

∑XY = 499.354

∑X = 153.1

∑Y = 29.68

∑Y² = 100.546

∑X² = 2631.01

(∑ X)² = 23439.6

(∑ Y)² = 880.902

From which we have;

b = \dfrac{10 \times 499.354 -153.1 \times 29.68}{10 \times 2631.01 - 23439.6} = 0.1566

a = \dfrac{29.68 - 0.1566 \times 153.1}{10} = 0.5704

r = \dfrac{N\sum XY - \left (\sum X  \right )\left (\sum Y  \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X  \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y  \right )^{2} \right ]}}

r = \dfrac{10 \times 499.354 -153.1 \times 29.68}{\sqrt{\left (10 \times 2631.01 - 23439.6  \right )\times \left (10 \times 100.546- 880.902\right )}  } = 0.7518

r² = 0.5652  which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.

7 0
3 years ago
The square prism has a base length of 2 ft. Which describes the cross section of the prism that iS perpendicular to the
Anon25 [30]

Answer:

A-a rectangle with two 12-ft sides and two 2-ft sides

Step-by-step explanation:

Got it right on edge

7 0
3 years ago
The cube root of r varies inversely with the square of s. Which two equations model this relationship?
77julia77 [94]

Answer:

The following two equations model this relationship.

  • \:\sqrt[3]{r}=\:\frac{k}{s^2}
  • \:\:s^2\:r^{\frac{1}{3}}=\:\frac{k}{s^2}  

Step-by-step explanation:

We know that when 'y' varies inversely with 'x', we get the equation

y ∝ 1/x

y = k / x

k = yx

where 'k' is called the 'constant of proportionality'.

In our case, it is given that the cube root of 'r' varies inversely with the square of 's', then

\sqrt[3]{r} ∝ \frac{1}{s^2}

\:\sqrt[3]{r}=\:\frac{k}{s^2}

or

\:\:s^2\:r^{\frac{1}{3}}=\:\frac{k}{s^2}          ∵ \sqrt[3]{r}=r^{\frac{1}{3}}

Therefore, the following two equations model this relationship.

  • \:\sqrt[3]{r}=\:\frac{k}{s^2}
  • \:\:s^2\:r^{\frac{1}{3}}=\:\frac{k}{s^2}  
3 0
3 years ago
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