I need an answer for this:
stirring a hot cup of tea causes a metal spoon to get warm which statement best explains why the spoon gets warm?

Considering the surface area of a cube, and that the figure has two cubes, the total surface area is of 1470 m².

The surface area of a cube of edge length a is given by:

S(a) = 6a².

In this problem, we have two cubes, one with a = 14 m and the other with a = 7 m. Hence, the total surface area, in m², is given by:

S(a) = 6 x 14² + 6 x 7² = 1470.

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Answer:

∠J = 31.06°

Step-by-step explanation:

Taking the inverse sin function :

Answer:

12.9 cm

Explanation:

Volume of rectangular box = Length × Width × Height

Given following:

Solve for volume:

26.4

Answer:

S8nce N is inthe center NL is one half of KM

Answer:

$30

Step-by-step explanation:

since 7 = 28

and 1 = 4

divide 1 in half to find the half hour amount

1/2 hr = 2

28 + 2 = 30

your answer is $30

hope this helps:)

Answer:

3x(5-7)°+1(5x-7)°

3x×5-3x×7+1×5x-1×7

15x-21x+5x-7

15x+5x-21x-7

20x-14

Answer:

C. 82.43

Step-by-step explanation:

acb's angle is 315 degrees because

360 - 45 = 315

arc length is in radians

arc length is radius times (angle times (pi÷180))

arc length is 15 times (315 times (pi÷180))

arc length is 82.43

cuemathcomgeometry

Answer:

Step-by-step explanation:

it might be like this but im not sure

Step-by-step explanation:

Here is the solution hope it helps:)

The choice that could represent the surface area of a pyramid is  75.6 feet squared

The surface area of an object is the total sum of the area of its net. The surface area of any object is expressed in square units.

For instance, a pyramid with 4 triangles and a base area with al the units in feet can be expressed as:

TSA = area of 4 triangles + area of the base

Hence the choice that could represent the surface area of a pyramid is  75.6 feet squared

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Answer:

C/3

Step-by-step explanation:

Answer:

LCM of 8, 9, and 12 is 72.

Step-by-step explanation:

The LCM of three non-zero integers, a(8), b(9), and c(12), is the smallest positive integer m(72) that is divisible by a(8), b(9), and c(12) without any remainder.

appreciate it if someone will follow me.

Answer:

72

Step-by-step explanation:

To find the Lowest Common Multiple (LCM), prime factorize the included terms, and multiply the factors of each number of the highest power together.

Prime factorizing

LCM (8, 12, 9)

= 2³ x 3²

= 8 x 9

= 72

The total number of workers that earn $75 per day is 48

The average salary is calculated based on reported salaries of respondents. The average salary definition is to add the salaries in the sample together, then divide by the number of respondents.

Given that:

In a group of 60 workers, the average salary is $80 a day per worker.

If some of the workers earn $75 a day and all the rest earn $100 a day.

Let 'x' be the total number of workers that earn $75 per day.

So, the total number of workers that earn $100 per day is (60 - x).

As the average salary of 60 workers is $80.

Then,

[tex]\frac{75x + 100(60-x)}{60} =80[/tex]

or, 75 x + 6000- 100x = 80*68

or, -25x= -1200

       x= 48

So, the total number of workers earn $75 per day is 48.

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An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.

Dimensions of the bottom of the box: L x W

Height of the box:

SOLUTION

Diagram

Cardboard with x2 area cutouts...

··················14 - 2x

···x··¦¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¦···x··

¦——¦·······························¦——¦

¦·············································¦

¦·············································¦ 6 - 2x

¦·············································¦

¦——¦·······························¦——¦

···x··¦___________________¦··x···

Volume = l·w·h

After cutouts:

l = 14 - 2x

w = 6 - 2x

h = x

V = (14 - 2x)(6 - 2x)(x) in3

V = 4x3 - 40x2 + 84x in3

To maximize the volume, take the derivative of V with respect to x, set it equal to zero, and solve for x:

dV/dx = 0 = 12x2 - 80x + 24

x2 - (20/3)x + 7 = 0

x = (10 ± √37)/3 in

Since (6 - 2x) yields a negative number for x = (10 + √37)/3 we use only x = (10 - √37)/3

Thus, the dimensions are:

l = 14 - 2x = 11.39 in

w = 6 - 2x = 3.39 in

h = x = 1.31 in

Base = l·w = 38.59 in2

Volume = 50.39 in3

Answer:

[tex](2,2)~ \text{and}~ (-2,-2)[/tex]

Step by step explanation:

[tex]x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\[/tex]

[tex]\text{Hence,}~ (x,y) = (\pm2, \pm 2)[/tex]

The equation that can be determined by the coordinates for point B will be 25 = (x - 6)² + (y - 5)².

The study of geometry using points in space is known as coordinate geometry. This may be used to discover the length between the endpoints, the dividing line's m:n ratio, the line's mid-point, and so on.

Segment AB has point A located at (6, 5). If the distance from A to B is 5 units.

Then the equation that can be determined by the coordinates for point B will be

[tex]\rm 5 = \sqrt{(x-6)^2 +(y-5)^2}[/tex]

This can be written as

25 = (x - 6)² + (y - 5)²

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Answer: x= [tex]\frac{85}{27}[/tex]=x

Step-by-step explanation:

1. Add 44 to both sides.
81+4=27x

2. Simplify  81+4 to 85.

85=27x

3. Divide both sides by 27.

[tex]\frac{85}{27}[/tex]=x

4. Switch sides.
X= [tex]\frac{85}{27}[/tex]

Decimal form: 3.148148

Answer:

3(4x+6)=24

Step-by-step explanation:

The distribute property is when you distribute the what is inside of the parentheses.

Answer:

an example would be -5(x+9)=-5

now distribute -5 to x and -5 to9

= -5x-45= -5

See attached for a sketch of some of the cross sections.

Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).

If the thickness of each cross section is ∆x, then the volume of each cross section is

∆V = (√(x + 1))² ∆x = (x + 1) ∆x

As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,

[tex]\displaystyle \int_{-1}^1 (x+1) \, dx = \left(\frac{x^2}2 + x\right) \bigg|_{-1}^1 = \boxed{2} ~~~~ (B)[/tex]

Answer:

9

Step-by-step explanation:

Option 1: use the applet to construct circles for problems 1 & 2 or 3 & 4.

take a screenshot and insert them into your student companion.

1. circle a, with a diameter of

6 cm.

2. circle c, with a radius that is

equal to circle a's diameter.

3. circle b, with a radius of 5

cm.

4. circle d, with a diameter

that is equal to circle b's

radius.

Answer:

B

Step-by-step explanation:

let me know if you need an explanation, I'll add one :D

Answer:

76°

Step-by-step explanation:

Taking the cosine ratio of the angle of depression :

A simple random sample from an infinite population is a sample selected such that each element is selected independently and from the same population.

Simple random sampling is known to be a  types of sampling where there are no laws, rules etc., on how to select the samples.

Note that it is seen easiest way of sampling and as such, A simple random sample from an infinite population is a sample selected such that each element is selected independently and from the same population.

See full question below

A simple random sample from an infinite population is a sample selected such that:

a. each element is selected independently and from the same population

b. each element has a 0.5 probability of being selected

c. each element has a probability of at least 0.5 of being selected

d. the probability of being selected changes

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The perimeter of the triangle ΔWXY is P = 14.50 cm

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔXYZ

Now , the measure of sides of the inscribed triangle ΔQRS is

QR = 2.93 cm

RS = 2.04 cm

QS = 2.28 cm

where the points Q , R and S are the midpoints of the sides of the triangle ΔXYZ

So , the measure of sides of the triangle are twice the lengths of the sides of triangle ΔQRS

And , the perimeter P = 2 ( 2.93 + 2.04 + 2.28 )

On simplifying , we get

P = 2 ( 7.25 )

P = 14.50 cm

Hence , the perimeter is P = 14.50 cm

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The complete question is attached below :

What is the perimeter of ΔWXY?

a) 11.57 cm

b) 12.22 cm

c) 12.46 cm

d) 14.50 cm

A free market is one where voluntary exchange and the laws of supply and demand provide the sole basis for the economic system, without government intervention. A key feature of free markets is the absence of coerced (forced) transactions or conditions on transactions.

There are about 3.5 * 10¹⁶  human hair follicles.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

given, If there are about 5 × 10^6 hair follicles on the human body and about 7 × 10^9 people on the plane.

=35×10⁹⁺⁶

=35x10¹⁵

=3.5×10¹⁶

So the answer is "There are about 3.5 x 10¹⁶ human hair follicles"

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Answer:

Reflection across the x axis

Step-by-step explanation:

When the triangle reflects across the x axis it will directly map over the other triangle and will appear to be congruent

Answer:

A reflection over the x - axis.

Step-by-step explanation:

The new position of a point, a line, a line segment, or a figure after a transformation is called its image. line y=x. A reflection is a type of transformation known as a flip. The figure will not change size or shape. Mathematical reflections are shown using lines or figures on a coordinate plane. The reason these two triangles are congruent is they reflect each other meaning that they are complete opposites reflecting. When mapped, they are completely reflecting.

Answer:

Pi is normally 3.14 but in this case it is 15.7

Step-by-step explanation:

78.5 divided by 5 = 15.7

5 x 3.14 = 15.7

Answer:

148cm^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).

we just plug in the values.

2(6 x 5) + 2(6 x 4) + 2(4 x 5)

= 2(30) + 2(24) + 2(20) then simplify

= 60 + 48 + 40

= 148

Answer:

The time spent by a physician with a patient

Step-by-step explanation:

Option C is the answer