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On solving the provided question, we can say that So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2

A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.

(Lateral surface area of cube = 4edge2

lateral surface area of cuboid =2h (l + b)

[tex]2 x 8(12.5+ 10)\\= 16 x 22.5\\= 360\\[/tex]

lateral surface area of the cube is larger by (400

- 360

= 40)cm2

Total surface area of cube = 6edge2

= 600

lateral surface area of cuboid

[tex]=2 (lb + bh + hl)\\2(12.5 x 10+ x 8+8 x 12.5)\\= 2 (125 + 80 + 100)\\= 610[/tex]

So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2

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Answer:

a

Step-by-step explanation:

The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

given

area of equilateral triangle = [tex]9\sqrt{3}cm^{2}[/tex]

formula of area of equilateral triangle = [tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex]

a = side of triangle

[tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex]  =  [tex]9\sqrt{3}cm^{2}[/tex]

[tex]a^{2} = \frac{4* 9\sqrt{3} }{\sqrt{3} }[/tex]

[tex]a^{2} = 36\\ a = 6 cm[/tex]

since equilateral triangle all sides are equal

perimeter of triangle = 6 + 6 + 6

= 18cm

the semi perimeter of the triangle = 18 /2 = 9 cm

The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.

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Answer:

look at the picture I sent

By the concept of the proportional method we determine that the height of the tower would be 48 feet.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

The model given can be interpreted by the concept of proportional method

a : b : : c : d.

Therefore,

5 : 6 : : 40 : x.

5/6 = 40/x.

5x = 240.

x = 240/5.

x = 48 feet.

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Answer:

45$

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

$1,200 x 0.03% = $36 yearly

$36/12 = $3 per month

$3 x 15 months = $45

Answer:

28.1 7/8

29.3

30.18/8=9/4=2 1/4

Step-by-step explanation:

Answer:

28. 1 [tex]\frac{7}{8}[/tex]

29. 3

30. 2[tex]\frac{2}{8}[/tex]

0.167 or 0.17 rounded to the nearest hundredth.

How do you round off decimal to the nearest hundredth?

When rounding to the nearest hundredth, you want to look at the third decimal place, the one to the right of the hundredth place. If the value in the third decimal place is less than 5, you truncate everything to the right of the hundredth place, leaving the number unchanged.

If the value in the third decimal place is greater than or equal to 5, you add one to the number in the hundredth place.

The total area of the rectangle is 15*5 = 75 square feet.

The area of the triangle inside the rectangle is (1/2)25 = 12.5 square feet.

The shaded region is the area of the triangle, so the probability that a randomly chosen point lies inside the shaded region is

12.5/75 = 0.167 or 0.17 rounded to the nearest hundredth.

Hence, 0.167 or 0.17 is rounded to the nearest hundredth.

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Answer:

I think it B.

Step-by-step explanation:

The circle equations for circles with diameters of 12 units that lie on the y-axis are:

We want to find the equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis, now, remember that the general equation for a circle of radius R and a center (a, b) is:

(x - a)^2 + (y - b)^2 = R^2

If we want a circle that lies on the y-axis, then a = 0, and if the diameter is 12 units, then the radius is R = 6 units.

Then the equation is something like:

x^2 + (y - b)^2 = 6^2 = 36

The two circle equations with this form are:

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Answer:

Rolling a die.

Step-by-step explanation:

A die has 6 sides for every answer and the only choice regarding the number 6 and you can roll (questions) times.

Answer:

C

Step-by-step explanation:

I did this question today, pls lmk if u get it right

Answer:

[tex]-----------[/tex]

hope it helps...

have a great day

Answer:

Number of people wearing a red t-shirt= 14,500

Step-by-step explanation:

Giving the following information:

Number of people= 50,000

Percentage of people using red t-shirt= 29%

To calculate the number of people wearing a red t-shirt, we need to use the following formula:

Number of people wearing a red t-shirt= number of people*percentage of people wearing a red t-shirt

Number of people wearing a red t-shirt= 50,000*0.29

Number of people wearing a red t-shirt= 14,500

Answer: 7

Step-by-step explanation:

Distance (d) = √(4 - -3)2 + (5 - 5)2

= √(7)2 + (0)2

= √49

= 7

ΔX = 4 – -3 = 7

ΔY = 5 – 5 = 0

y = 0x + 5

When x=0, y = 5

Answer:

Step-by-step explanation:

D = SQRT(x 2 - x 1) 2 + (y 2 - y 1) 2

X2 Y2

(-3,5)

X1 Y1

(4,5)

D= SQRT (-3-4)^2 + (5-5)^2

D= SQRT 49

D=7

Answer:

(1/27) in^3

Step-by-step explanation:

"sides" is inappropriate here.  You meant "a cube with three edges each 1/3 inch long."

V of cube:  V = s^3, where s:  side length

Here, V = (1/3 in)^3 = (1/27) in^3

Note:  all cubes have 6 (six) sides, including this one with 6  1/3 in sides.

Answer:

364 mm2.

Step-by-step explanation:

Answer:

14 cm

Step-by-step explanation:

Answer: 1.

Step-by-step explanation:

[tex]\displaystyle\\sin^2x(cot^2x+1)=\\\\sin^2x(\frac{cos^2x}{sin^2x}+1)=\\\\\frac{sin^2xcos^2x}{sin^2x}+sin^2x=\\\\cos^2x+sin^2x=\\\\1.[/tex]

Answer:

D

Step-by-step explanation:

Answer:

5,006.04

Step-by-step explanation:

Hope it Helps!

:)

A function is generally indicated by f.

A mathematical expression that indicates a relationship between an independent variable and a dependent variable.

In other word, a function shows a relation between a set of input values to a set of output values in where each input value is connected to only a particular output value.

A function is generally, expressed by letters such as f, g and h and so on.

It is said that f(x) is a function of x or g(x) and h(x) are a function of x when functions are denoted by g or h.

For an input value of an independent variable x, the output value is denoted by f(x) that is equal to a dependent variable such as y. We can write, y = f(x)

The set of x value are the domain of function, and the set of f(x) value are the ranges of a function.

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Complete question is: What is the value of f in a function?

Answer:

4

Step-by-step explanation:

Just count the units across, how to get from 2 to -2 which is just simply four units back.

Step-by-step explanation:

x+10=116

x=116-110

=106

x=106

Answer:

[tex] \frac{1}{7}[/tex]

Answer:

1/7

Step-by-step explanation:

there is seen prizes and he pulls seven times so the odds would be 1/7

The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required to be determined is; 25.

It is evident from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.

On this note, since the quotient which is to be maximised is hypothetically; x / y;

Therefore, in a bid to maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.

On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;

10 / (2 / 5)

= ( 10 × 5 ) / 2

= 25.

Ultimately, it can be inferred that the greatest possible quotient as required is; 25.

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Answer:

[tex] \sf \: \frac{14}{3} [/tex]

Step-by-step explanation:

Given problem,

[tex] \sf \rightarrow \: \frac{7}{9} \times 6[/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: \frac{7}{9} \times 6[/tex]

[tex] \sf \rightarrow \: \frac{(7 \times 6)}{9} [/tex]

[tex] \sf \rightarrow \: \frac{42}{9} [/tex]

[tex] \sf \rightarrow \: \frac{14}{3} [/tex]

Hence, the product is 14/3.

Based on the information provided, the best description of the relationship between the variables in the scatterplot is: option D, "Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate."

The scatterplot shows a positive relationship between the two variables, as indicated by the points being grouped loosely together in a line with a positive slope.

This means that as the 200-meter dash time increases, the javelin throw distance also tends to increase. The coefficient of correlation, r, also supports this relationship, as a value of 0.369 indicates a moderate positive correlation between the two variables. Though the correlation is moderate, it's important to note that this does not imply causality.

Therefore, note that, based on the description in the question, the relationship is moderate, not strong. The statement is accurate only when the correlation coefficient is between 0.3-0.7 which is considered as moderate correlation.

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Answer:

d

Step-by-step explanation: