How can the areas of certain shapes be found? What are the meanings of surface area and volume and how can surface area and volume be found

x = total number of candies

[tex]\bf \stackrel{\textit{my brother}}{\cfrac{1}{5}x}+\stackrel{\textit{my friend}}{\cfrac{1}{4}x}+11~~=~~\stackrel{\textit{total}}{x} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{x}{5}+\cfrac{x}{4}+11 \right)=20(x)}\implies 4x+5x+220=20x\implies 9x+220=20x \\\\\\ 220=11x\implies \cfrac{220}{11}=x\implies 20=x~\hspace{10em}\stackrel{\textit{to my brother}}{\cfrac{20}{5}\implies 4}[/tex]

Answer:

14 in

Step-by-step explanation:

Does it want me to explain what the in.cm,mm,m are or what id it in its

The net of cube has 6 identical squares with side 14 units.

Net diagram is a 2-dimensional plane figure which can be folded to form a 3-dimensional figure. Or we can say net diagrams are the figures which obtained by unfolding some 3D figures.

Given that, the cube with edges 14 units.

A solid shape with six square faces is called a cube. Because every square face has the same side length, each face is the same size. A cube has 8 vertices and 12 edges. An intersection of three cube edges is referred to as a vertex.

The net of cube has 6 squares

Therefore, the net of cube has 6 identical squares with side 14 units.

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Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (8, 1) and (x₂, y₂ ) = (24, 9)

m = [tex]\frac{9-1}{24-8}[/tex] = [tex]\frac{8}{16}[/tex] = [tex]\frac{1}{2}[/tex]

The whole circle is 360 degrees. So cut the circle in half and BDC=180

To find the measure of arc BDC, use the triangulation measurements and the angular displacements ZBOC and ZDOC. Apply geometric principles and the law of sines, then relate the arc's angle to the circle's circumference to approximate the arc measure.

To find the measure of arc BDC, we must consider the geometrical properties of circles and triangles mentioned in the provided information. Since the arc length for a small part of the circle can be approximated as equal to the straight-line segment, we can use this approximation along with the given relationships to solve for the arc BDC measurement.

First, establish a second control point (B) in a triangulation network and measure the interior angles at points A, B, and C. The 'law of sines' can be used to determine lengths of the sides of the triangles formed. Once you have the lengths AC and BC, you can measure CD and BD to fix point D in a coordinate system.

This geometric consideration allows us to construct right triangles and use the Pythagorean theorem to find missing lengths. To calculate the measure of arc BDC, we can add the displacement angles (ZBOC and ZDOC) which can be found by using the angular displacement values between 2 and 2.5 seconds, and between 2.5 and 3 seconds. Using these angles and the lengths of segments BC, CD, and BD, we can apply the principle that in a circle, the ratio of the arc's length to the circumference is equal to the ratio of the angle to 360 degrees.

Answer:

[tex]\large\boxed{x>-25}[/tex]

Step-by-step explanation:

[tex]-\dfrac{3}{10}x-7<\dfrac{1}{2}\qquad\text{multiply both sides by 10}\\\\10\!\!\!\!\!\diagup^1\cdot\left(-\dfrac{3}{10\!\!\!\!\!\diagup_1}x\right)-(10)(7)<10\!\!\!\!\!\diagup^5\cdot\dfrac{1}{2\!\!\!\!\diagup_1}\\\\-3x-70<5\qquad\text{add 70 to both sides}\\\\-3x<75\qquad\text{change the signs}\\\\3x>-75\qquad\text{divide both sides by 3}\\\\x>-25[/tex]

C= equilateral triangle

To find this answer we need to know what a cube is. A cube is a prism whose sides all have the same length. It's something like the three dimensional version of a square. In the figure below, we have labeled each length of the cube as [tex]x[/tex]. Also, the vertex we taken is in blue color, so we need to find each side length of the triangle. Since the cross section passes through the midpoints of three edges that intersect at the same vertices of the cube, then:

[tex]L_{1}=\sqrt{(\frac{x}{2})^2+(\frac{x}{2})^2} \\ \\ L_{1}=\sqrt{\frac{x^2}{4}+\frac{x^2}{4}} \\ \\ L_{1}=\sqrt{\frac{2x^2}{4}} \\ \\ L_{1}=\sqrt{\frac{x^2}{2}} \\ \\ L_{1}=\frac{x}{\sqrt{2}} \\ \\ L_{1}=\frac{x}{\sqrt{2}}\frac{\sqrt{2}}{\sqrt{2}} \\ \\ L_{1}=\frac{\sqrt{2}x}{2}[/tex]

Since this is a cube, then it is true that:

[tex]L_{1}=L_{2}=L_{3}=\frac{\sqrt{2}x}{2}[/tex]

Since the side lengths have the same value, this is an equilateral triangle.

Answer:

For the graph, 111 is the: y-intercept

In the situation, it represents the hiker's: starting distance

11 is the: slope

It represents the hiker's: speed

Hope this helped C:

The question pertains to the physics of a hiker ascending and descending a mountain, considering potential energy changes and work done by the hiker. The scenario's analysis includes calculations of potential energy at various altitudes relative to sea level, given the hiker's mass.

The scenario involves a hiker ascending and descending a mountain, which can be analyzed from a physics perspective, particularly focusing on potential energy, work, and energy conservation. The hiker's journey begins at 200 m above sea level, progresses to an overnight hut at 800 m, descends to another hut at 500 m, and finally returns to the starting point. The mass of the hiker is given as 70 kg.

When the hiker ascends to a height of 800 m, she gains potential energy, which can be calculated using the formula Potential Energy (PE) = mass (m) × gravity (g) × height (h). Therefore, the increase in potential energy when reaching the first hut is:

PE = 70 kg × 9.8 m/s2 × (800 m - 200 m)

Similarly, when descending to the second hut, the hiker loses some potential energy. Finally, upon returning to the starting point, the hiker's potential energy returns to its initial value, assuming the starting point is the reference level of potential energy.

The exercise involved in hiking up and down the mountain also involves work done against the force of gravity and could be discussed in terms of energy expended by the hiker.

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Answer: Last Option

[tex]x=2,\ y=-5[/tex]

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

[tex]x =\frac{Det(A_X)}{Det(A)}[/tex]

[tex]y =\frac{Det(A_Y)}{Det(A)}[/tex]

For this problem we know that:

[tex]Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|[/tex]

Solving we have:

[tex]|A|= 4*(-2) -(-6)*8\\\\|A|=40[/tex]

[tex]Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|[/tex]

Solving we have:

[tex]|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80[/tex]

[tex]Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|[/tex]

Solving we have:

[tex]|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200[/tex]

Finally

[tex]x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2[/tex]

[tex]y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5[/tex]

Answer:

(n+4)(n+5)

Step-by-step explanation:

Answer:

(n + 4)(n + 5)

Step-by-step explanation:

to factor n² + 9n + 20, we need to find 2 numbers that when multiplied together equal 20 and when added together equal 9

these two numbers are 4 and 5 so the factorization looks like this:

(n + 4)(n + 5) < you can FOIL this out to check if the solution is correct, and you would get: n² + 9n + 20

Answer:

(4, 7)

Step-by-step explanation:

The midpoint formula is (((x1 + x2)/2), ((y1+y2)/2)))

x1 +x2 = 1 +7 = 8

8/2 = 4

y1 + y2 = 10 + 4 = 14

14/2 = 7

(4, 7) is the midpoint

Answer:

M = (4, 7)

Step-by-step explanation:

Using the midpoint formula

M = [[tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

with (x₁, y₁ ) = P(1, 10) and (x₂, y₂ ) = Q(7, 4)

M = [ [tex]\frac{1}{2}[/tex](1 + 7), [tex]\frac{1}{2}[/tex](10 + 4) ] = (4, 7)

Answer:

Inequality: 50-1.99x=30

She has 10 days.

Step-by-step explanation:

So, she starts off with with $50. From there, she is buying songs that are $1.99 (everyday). You could do this multiple ways:

Guess and Check, or use Algebra.

But for Algebra:

If we graph this out, the y intercept would be (0, 50), because she is starting out with $50. From there, she is spending 1.99 each day, so the slope would be 1.99/1. So basically, we would write this as 50-1.99x (that is the expression).

We would also set this equal to 30, because we are trying to see how many days it would take to still keep her balance above $30, but make it as close to 30 as possible. (x represents the # of days.

So the inequality would be 50-1.99x=30

And, when we isolate the variable and solve, we would see that she can buy a total of 10 songs over 10 days. (So basically, she has 10 days to stay over $30).

Sarah can use her $50 gift card to download a $1.99 song for 10 full days before her balance falls below $30. This is found by solving the inequality 50 - 1.99d > 30, which indicates the maximum days she can download with the card's balance staying above the threshold.

Sarah's problem can be represented by an inequality that describes the number of $1.99 song downloads she can make before her $50 music gift card drops below $30. To find out how many days she can continue to download a song without going below a $30 balance, we'll represent the number of days as d, and the cost per day as $1.99.

The inequality will be: 50 - 1.99d > 30.

Step 1: Subtract 50 from both sides to isolate the term with d.

-1.99d > -20

Step 2: Since we're dealing with a negative coefficient for d, divide both sides by -1.99, and flip the inequality sign (a rule when dividing by a negative).

d < 20/1.99

d < 10.05

Since Sarah can't download a fraction of a song, she can download a song for full days without the balance going below $30 for 10 days.

Therefore, Sarah can download a song for 10 full days with the balance of her gift card staying above $30. After that, her balance would drop below $30 if she continues.

Answer:

76 mL

Step-by-step explanation:

40*19/10

40*19= 760 / 10 = 76mL

the correct answer is A. 316.7 mL.

The question involves calculating the fluid volume that a 19 kg dog would receive if fluids were administered at a rate of 40 mL/kg/day. Here is the step-by-step calculation:

Therefore, the correct answer is A. 316.7 mL.

Answer:

$4.60

Step-by-step explanation:

To find the amount of tax, multiply the number of gallons by the tax per gallon.

20*.23 = $4.60

Notice that 242 = 4*60.5. This means after 242 minutes, the sample decays to [tex]\dfrac1{2^4}=\dfrac1{16}[/tex] of its original amount. So you end up with

[tex]\dfrac{100\,\mathrm g}{16}=\boxed{6.25\,\mathrm g}[/tex]

After 242 minutes, 6.25 grams of Bismuth-212 remain from an original 100-gram sample, calculated based on its half-life of 60.5 minutes through the concept of radioactive decay.

The question involves calculating the amount of Bismuth-212 left from a 100-gram sample after 242 minutes, given its half-life of 60.5 minutes. To find the amount of Bismuth-212 remaining, we use the formula for radioactive decay which involves dividing the total time by the half-life to determine the number of half-lives that have passed.

First, calculate the number of half-lives passed:
Number of half-lives = Total time / Half-life = 242 minutes / 60.5 minutes = 4

Next, calculate the remaining amount after each half-life. After 1 half-life, 50 grams remain; after 2 half-lives, 25 grams; after 3 half-lives, 12.5 grams; and after 4 half-lives, 6.25 grams remain.

Therefore, 6.25 grams of Bismuth-212 remains after 242 minutes.

Answer:

option A

The base is e^-1

Step-by-step explanation:

Given in the question a function, f(x) = (1/e)[tex]^{x}[/tex]

This function can also be write as.

f(x) =[tex](e^{-1})^{x}[/tex]

by using Negative Exponent Rule

[tex]x^{-n}=\frac{1}{x^{n}}[/tex]

This says that negative exponents in the numerator get moved to the denominator and become positive exponents.

Answer:

Step-by-step explanation:

This is a course specific question. What I think is a postulate may not be listed in your lesson. A postulate is a statement that is assumed to be true. There has not been an exception found in over 2000 years. A postulate does not require proof: its truth is accepted.

Example: Two points on the same plane have exactly 1 line that can go through them.

Theorem: using the postulates to begin with, a theorem is a statement that can (and should) be proved.

Example: Two lines that are on the same plane, if they intersect at all, intersect only once.

a^2 + b^2 = c^2

This well known theorem can be proved well over 100 ways.

In geometry, a postulate is an accepted statement without proof that serves as a fundamental assumption, while a theorem is a proven statement based on previously established postulates, theorems, and definitions.

An example of a postulate is the "Parallel Postulate," and an example of a theorem is the "Pythagorean Theorem."

To find the difference between a postulate and a theorem

Now,

A postulate is a statement that is accepted without proof and serves as a fundamental assumption. It provides the basis for building geometric reasoning.

An example of a postulate is the "Parallel Postulate," which states that if a line intersects two other lines forming congruent alternate interior angles, then the two lines are parallel.

On the other hand, a theorem is a statement that has been proven based on previously established postulates, theorems, and definitions.

An example of a theorem is the "Pythagorean Theorem," which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

So, while postulates are accepted as true without proof, theorems are derived from logical deductions and require proof.

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Answer:

 11 13/15

Step-by-step explanation:

-3 2/3+b = 8 1/5

Add 3 2/3 to each side

-3 2/3 + 3 2/3+b = 8 1/5+ 3 2/3

b = 8 1/5 + 3 2/3

We need to get a common denominator of 15

8 1/5 = 8 3/15

3 2/3 = 3 10/15

           ----------------

             11 13/15

Answer:

-5 and 2

Step-by-step explanation:

Apexvs

Answer:

-5 and 2

Step-by-step explanation:

Apex

Answer:

focus point of  satellite is (-125,-3)

Step-by-step explanation:

The question is on finding the focus point of a parabola

Given y²+6y-3x+3=0

Rewrite the equation

y²+6y=3x-3

Complete square on both sides

y²+6y+9=3x-3+9

Factorize

(y+3)²= 3x+6---------------------------------------(a)

(y+3)²= 3(x+2)

Compare  equation (a) to standard equations for parabola

(y+3)²= 3(x+2)

(y-b) ²= 2p(x-a),,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,(b)

2p=3------------divide both sides by 2

p=3/2

Vertex (a,b)=( -2,-3)........from equation (b)

Focus point is given by  (a+p/2 , b)...........................(c)

Substitute values in equation c above;

(-2+3/4 , -3) = (-5/4 ,-3) =(-1.25, -3)

              The value is:

                      -4

We are asked to find the value of the ceiling function: [tex]\left \lceil -4.6 \right \rceil[/tex]

As we know that the ceiling function always occupy the higher value in integers.

i.e. the ceiling function act as follows:

it takes value 0 when   -1< x≤0

                       1 when  0 < x ≤ 1

                       2 when  1 < x ≤2

and so on.

As we know that:

            -4.6 lie between -5 and -4.

            Hence, we have:

            [tex]\left \lceil -4.6 \right \rceil=-4[/tex]

Answer:  -4

Step-by-step explanation:

The ceiling function (also known as the least integer function) is written as

[tex]f(x) = [x][/tex]

It gives the smallest integer greater than or equal to x .

For example : [5.6]=6

or [-1.9]= -1   [∵- 1 > -1.9 ]

To find : The value of [-4.6]

Clearly ,  [-4.6] is written in ceiling function notation.

Then,  [-4.6]  = smallest integer greater than or equal to -4.6

= -4              [∵ -4>-4.6]

Hence, the value of [-4.6] = -4

Answer:

Slope = 1/5

Step-by-step explanation:

passing through points A(5,4) and B(0,3)

Slope = (4 - 3)/(5 - 0) = 1/5

Answer:

y = - 4x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 4, thus

y = - 4x + c ← is the partial equation of the line

To find c substitute (- 2, - 5) into the partial equation

- 5 = 8 + c ⇒ c = - 5 - 8 = - 13

y = - 4x - 13 ← equation of line

The equation of the line with slope -4 passing through the point (-2, -5) is y = -4x - 13.

To find the equation of a line with a given slope that passes through a specific point, you can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through. In this case, the slope is -4 and the line passes through the point (-2, -5). Plugging these values into the point-slope form, the equation becomes y - (-5) = -4(x - (-2)), which simplifies to y + 5 = -4(x + 2). Expanding the right side gives y + 5 = -4x - 8. To solve for y, subtract 5 from both sides to get y = -4x - 13.

The shape of the resulting two-dimensional cross section is a . A right rectangular pyramid.

The trapezoid is a quadrilateral with one pair of opposite sides that are parallel. These are sometimes classified as having at most one pair of opposite sides parallel, and sometimes as containing one pair of different sides parallel.

This trapezoid limits the goaltender's ability to play the puck by giving them a small amount of space behind the goal line.

It was trapezoidal when we slice the pyramid, we obtain two shapes: a triangle and a trapezoid.

Trapezoidal is the appropriate two-dimensional shape.

a triangle

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The resulting two-dimensional cross section of a right rectangular pyramid sliced through its vertex and perpendicular to its base is a triangle.

The shape of the resulting two-dimensional cross section is a triangle.

When a right rectangular pyramid is sliced through its vertex and perpendicular to its base, the resulting cross section will be a triangle. This is because the cut passes through the top vertex of the pyramid and intersects all the edges of the base, forming a triangle shape.

For example, if the base of the pyramid is a rectangle, the resulting cross section will be an isosceles triangle with its top vertex at the center of the rectangle's longer side.

Divide the number of wooden cabinets by the number of days.

24 / 8 = 3

Carlos installed an average of 3 cabinets each day.

To find the average number of cabinets installed each day, we divide the total number of cabinets installed by the number of days. In this case, Carlos installed 24 cabinets in 8 days, so we divide 24 by 8 to get an average of 3 cabinets installed each day.

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Answer:

A

Step-by-step explanation:

That the answer Plss follow me thanks

The equivalent expressions for the perimeter of a square whose side length is represented by the expression n -1.5 are A and F, specifically: n + n + n + n - 1.5 - 1.5 - 1.5 - 1.5 and 4(n - 1.5)

The length of a side of a square is given by the expression n - 1.5. The perimeter of a square is calculated by adding up all its four sides. Hence, in this case, the perimeter would be (n - 1.5) + (n - 1.5) + (n - 1.5) + (n - 1.5). Perform the addition to get 4n - 6, simplifying to 4(n - 1.5). From the provided options, the equivalent expressions for the perimeter of the square are A and F, that is, n + n + n + n - 1.5 - 1.5 - 1.5 - 1.5 and 4(n - 1.5).

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The equation that can be used to solve for b is Tan (30)= 5/b.

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The equations that can be solved for 'b' are 'Tan (30)= 5/b' and 'Tan (30) = 10/b', resulting in solutions 'b = 5/Tan(30)' and 'b = 10/Tan(30)' respectively.

The equations that can be used to solve for 'b' are Tan (30)= 5/b and Tan (30)=10/b. To solve for 'b' in these scenarios, you would rearrange the equations to isolate 'b'. For example, in the first equation, multiplying both sides by 'b' and then dividing by Tan(30) would give you 'b = 5/Tan(30)'. In the second scenario, 'b = 10/Tan(30)'. These are the solutions for 'b' and indicate the values 'b' would need to be for the equations to hold true.

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Answer:

Step-by-step explanation:

We have four congruent triangles with base b = 16cm and height h = 12cm.

The formula of an area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A=\dfrac{(16)(12)}{2}=(8)(12)=96\ cm^2[/tex]

The latearal area:

[tex]L.A.=4A\to L.A.=4(96)=384\ cm^2[/tex]

For the surface area we need the area of a base.

The base is a square with side a = 16cm.

The area of the base:

[tex]B=16^2=256\ cm^2[/tex]

The surface area:

[tex]S.A.=L.A.+B\to S.A.=384+256=640\ cm^2[/tex]

I believe it would be C

Answer:

C. measurement of one angle and length of one side.

Step-by-step explanation:

A rhombus is a parallelogram with four sides of equal length and two different pairs of angles. Hence, the measurement of one angle and length of one side is need to construct a rhombus. The right answer is C.

125x=10y.

That is my best shot, I'm sorry lol.

Answer:

8 cm

Step-by-step explanation:

The circumference (C) of a circle is

C = π d  ← d is the diameter

Here C = 8π, hence

πd = 8π ( divide both sides by π )

d = [tex]\frac{8\pi }{\pi }[/tex] = 8 cm

A circle is a curve sketched out by a point moving in a plane. The diameter of the circle whose circumference is 8π cm is 8cm.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The circumference of a circle is given by πD, where D is the diameter. Now, the circumference can be written as,

Circumference of the circle = πD

8π cm = πD cm

D = 8 cm

Hence, the diameter of the circle whose circumference is 8π cm is 8cm.

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