10. A square pyramid is shown. The height of the pyramid is 14 centimeters. The area of the base of the square pyramid, B, is 64 square centimeters. 8 64 cm Which measurement is closest to the volume of the pyramid in cubic centimeters? F 900 cm G 450 cm M 300 cm ) 150 cm

10. A Square Pyramid Is Shown. The Height Of The Pyramid Is 14 Centimeters. The Area Of The Base Of The

Answers

Answer 1

ANSWER

The closest measurement is 300cm³

EXPLANATION

The volume of a pyramid is:

[tex]V=\frac{1}{3}Bh[/tex]

where B is the ares of the base and h is the height.

In this problem, B = 64cm² and h = 14cm. The volume is:

[tex]V=\frac{1}{3}\cdot64\operatorname{cm}^2\cdot14\operatorname{cm}=298.\bar{6}cm^3[/tex]

The one that's closest is 300cm³


Related Questions

Mabel spends 4 hours to edit a 3-minute long video. She edits at a constant rate.
How long does Mabel spend to edit a 15 minute long video?

Answers

By the concept of unitary method, she will take 20 hours to complete a video as definition of unitary method says "The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value".

What is unitary method?

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. A single or distinct unit is referred to by the word unitary. Therefore, the goal of this method is to establish values in relation to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel. The unitary method refers to the process of determining the value of a single unit from the values of several other units and using that value to determine the value of the necessary number of units.

Here,

As she takes 4 hours to edit a 3 minute video,

by unitary method,

so she take 4/3 hour to edit a 1 minute video.

To edit a 15 minute video,

she will take 15*4/3 hours.

=20 hours

As stated in the definition of the unitary method, "the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value," it will take her 20 hours to complete a video using this method.

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What is the slope of the line that passes through the points (10, 6) and (6, 6)? Write
your answer in simplest form.

Answers

The slope of the line that passes through the points (10,6) and (6,6) is 0.

The Slope of a line can be described as a change in the y coordinate with respect to the x coordinate.

Formula to find the slope of the line that passes through the points [tex](x1,y1)[/tex] and [tex](x2,y2)[/tex] is

                             [tex]m= (y2-y1)/(x2-x1)[/tex]

                          where, m=slope

As per the given problem, let us consider

                                [tex](x1,y1)=(10,6)[/tex]

                                [tex](x2,y2)=(6,6)[/tex]

Substitute the given values such as [tex]x1=10,x2=6,y1=6,y2=6[/tex] in the formula,

                             [tex]m=(6-6)/(6-10)\\m=0/(-4)\\m=0[/tex]

Therefore, the slope of the line that passes through the points (10,6) and (6,6) is o.

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Estimate the cost of putting up a decorative border in your family room if your room is 28 feet long and 16 feet wide and the border costs $8.95 for a package containing 10 feet.The estimated cost is $___

Answers

The cost of putting a border around the family room is $ 89.5 .

Dimensions of the room = 28 feet by 16 feet

Now we have to find the perimeter of the room to calculate the length of the border.

The room is a rectangle.

The perimeter of a rectangle is exactly given by  

2 × (length + width)

perimeter = 2 × ( 28 + 16 ) feet

Perimeter = 88 feet

Cost of 10 feet = $ 8.95

Boxes needed = 88 / 10 = 8.8 boxes.

Now boxes cannot be taken as a fraction.

Therefore number of boxes required = 10

Cost of 10 boxes =$8.95 × 10 = $ 89.5

Therefore the cost of putting a border around the family room is $ 89.5 .

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i cant seem to be able to solve -6(8g+4)-5+6g

Answers

Answer: -42g-29

Step-by-step explanation:

-6(8g+4)    -5+6g

-48g-24 -5+6g

-48g+6g=-42g

-24-5=-29

I need help with this practice I’m having trouble solving itNeed some help step by step If you can. Use Desmos to graph this

Answers

Given the function:

[tex]y=-4\cos \mleft(\frac{2}{3}x+\frac{\pi}{3}\mright)-3[/tex]

The graph is attached below:

• The period of the function, T = π-(-2π)=3π.

Thus, the function has been graphed to show at least one full period, the x and y-axes are also clearly labeled above.

4x 3y2 Evaluate the expression for x = 3 and y = 4.

Answers

[tex]-\frac{9}{4}[/tex]

Explanation

[tex]-\frac{4x^3}{3y^2}[/tex]

Step 1

to find the answer just replace the values for x and y

for x=3 and y =4

[tex]\begin{gathered} -\frac{4x^3}{3y^2} \\ -\frac{4(3)^3}{3(4)^2}=-\frac{4\cdot(3\cdot3\cdot3)}{3\cdot(4\cdot4)}=-\frac{4\cdot27}{3\cdot16}=-\frac{27}{12}=-\frac{9}{4} \end{gathered}[/tex]

I hope this helps you

for each of the 7 you have to determine whether its alternative exterior angles, same side interior angles, vertical angles, alternate interior angles, definition of a parallelogram, SAS, Or Given

Answers

Statement Reason

WXYZ is a parallelogram Given

WX || ZY and WZ || XY Definition of a parallelogram

∠ZYW ≅ ∠XWY Alternate interior angles

WX ≅ YZ Definition of a parallelogram

WY ≅ WY Reflexive property of congruence

ΔWXY ≅ ΔZYW SAS

∠X ≅ ∠Z CPCTC

tsThe table below represents the concessions sold at the last three basketball games. Thegames were held on different days and times.Friday nightSaturday morningTuesday nightTotalCandy1489478320Hot Dogs10227150279Nachos Total1084297247358163325846What is the approximately probability of a person buying a hot dog and going to a Tuesdaynight game?

Answers

Given:

The total = 846.

The number of hot dogs sold at Tuesday night = 150.

Required:

We need to find the approximate probability of a person buying a hot dog and going to a Tuesday night game.

Explanation:

The total possible outcomes = 846.

[tex]n(S)=846[/tex]

Let A be the given event.

The favourable outcomes = The number of hot dogs sold at Tuesday night = 150.

[tex]n(A)=150[/tex]

The approximate probability of a person buying a hot dog and going to a Tuesday night game.

[tex]P=\frac{n(A)}{n(S)}\times100[/tex][tex]P=\frac{150}{846}\times100[/tex][tex]P=17.7[/tex][tex]P=18\text{ \%}[/tex]

Final answer:

[tex]P=18\text{ \%}[/tex]

In a right triangle, the length of the hypotenuseis 14 cm and the length of one leg is 8 cm.What is the measure of the other leg?

Answers

Since it is a right triangle, we can use the Pythagorean Theorem. This one states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse. In algebraic notation:

[tex]\begin{gathered} a^2+b^2=c^2 \\ \text{ Where a and b are the legs and c is the hypotenuse of the right triangle.} \end{gathered}[/tex]

So, in this case, we have:

[tex]\begin{gathered} a=8\operatorname{cm} \\ b=? \\ c=14\operatorname{cm} \end{gathered}[/tex][tex]\begin{gathered} a^2+b^2=c^2 \\ (8cm)^2+b^2=(14cm)^2 \\ (8)^2cm^2+b^2=(14)^2cm^2 \\ 64cm^2+b^2=196cm^2 \\ \text{ Subtract }64cm^2\text{ from both sides of the equation} \\ 64cm^2+b^2-64cm^2=196cm^2-64cm^2 \\ b^2=132cm^2 \\ \text{ Apply square root to both sides of the equation} \\ \sqrt{b^2}=\sqrt{132cm^2} \\ \boldsymbol{b}\approx\boldsymbol{11.49\operatorname{cm}} \end{gathered}[/tex]

Therefore, the measure of the other leg rounded to the nearest hundredth is 11.49 centimeters.

Jack earns $5250 per month. Jill earns $1143.50 a week. Who earns more per year, and by how much?

Answers

Jack make more money he makes 676$ more

The question is in the link pls help me, fast.

Answers

Answer:

The answer is B.

Step-by-step explanation:

The circle is filled in so we know the answer cannot be A. All the numbers after 4 are greater than or equal to 4. The arrowing is pointing toward the numbers after 4.

Margaret''s parents gave her $40 to spend on video games. Used games are $8 and new games are $14.

Answers

Answer:

so? what is your question here?

Step-by-step explanation:

The sum of two numbers is 130 and their difference is 34. Let x be the first number and y be the second number. Set up a system of equations and use the elimination method to find the numbers

Answers

The numbers are 82 and 48

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Let x represent the first number and y represent the second number.

Equation 1, sum of the numbers:

x + y = 130

Equation 2, difference of the numbers:

x - y = 34

Using the elimination method system of equations to solve:

 x  +  y  =  130

 x  -   y  =  34

-------------------

Add the two equations to eliminate the y term leaving:

2x = 164

Divide both sides by 2:

x = 82

Find y from first equation: x  +  y  =  130

substituting 82 for x in the equation

82 + y = 130

Subtract 82 from both sides:

y = 48

The two numbers in the system of equation are 82 and 48.

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(ii) The lowest common multiple (LCM) of x and 60 is 240.
Find the smallest possible value of x.

(Please help + will mark as a brainliest!!)

Answers

The smallest value of x is 2 for which these three numbers 2, 60, and 240 have an LCM of 240.

What is LCM?

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, Are three numbers x, 60, and 240 of which x is unknown.

The lowest common multiple of these three numbers will be when x is the smallest.

Let x be 2 therefore the numbers are now, 2, 60, and 240.

And LCM of 2, 60, and 240 is 240 as it is the smallest number that is divisible by all these three numbers.

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Q.22 5.3 Write a system of linear equations that has the ordered pair of (-2,8) as it's solution.

Answers

A system of linear equations that has the ordered pair of (-2,8) as it's solution is Oy - 2x = 12 and x - 2y.

calculation:-

x = -2

for 2y - 4x = 24 plug in x = -2

2y + 8 = 24

Subtract 8 from both sides

2y + 8 - 8 = 24 - 8

2y = 16

divide both sides by 2

2y/2 = 16/2

y = 8

Therefore, the solution to the system of linear equations is:

(x, y) = (-2, 8).

A non-linear equation is such that it does not form a straight line. It looks like a curve in a graph and has a variable slope value. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. The graph of a linear equation always forms a straight line. The definition of a linear equation is an algebraic equation in which each term has an exponent of 1.

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At midnight, the temperature was -8'F. At noon, the temperature was 23'F. Which expression represents the increase in temperature?

Answers

[tex]-8+x=23\text{ Expression}[/tex]

increase= 31° F

Explanation

Step 1

Graph

let x represent the increase in temperature,then

[tex]-8+x=23\text{ Expression}[/tex]

now, to find the increase, solve for x

[tex]\begin{gathered} -8+x=23\text{ Expression} \\ \text{add 8 in both sides} \\ -8+x+8=23+8 \\ x=31 \end{gathered}[/tex]

so the increase is 31° F.

I hope this helps you


Graph the polygon with the given vertices and its image after a reflection in the given line.
J(-3, 1), K(0, 3), L(4, -1), M(1, -3); y = -2

Answers

A polygon is a plane figure characterized by a finite number of straight-line segments joined to form a closed polygonal chain in geometry.

What is a polygon?

A polygon is a plane figure characterized by a finite number of straight-line segments joined to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both. A polygonal circuit's segments are known as its edges or sides.

Given coordinates are,

J(-3, 1), K(0, 3), L(4, -1), M(1, -3); y = -2

Plot all the points on a coordinate geometry in a sequence we will get the polygon of four sides.

The image of the constructed polygon with all its coordinates is attached with the answer below.

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how much must be deposited at the beginning of every six months in an account that pays 6% compounded semi-annually so that the account will contain 35,000 at the end of five years the semi-annual payments are___?round to 2 decimal places

Answers

In order to determine the initial investment, use the following formula for the composed interest:

[tex]I=P(1+\frac{r}{n})^{nt}[/tex]

where:

P: initial investment = ?

r: interest rate = 6% = 0.06

n: number of times per time period = 6

t: time period = 5 x 2 = 10

I: final account = 35,000

replace the previous values of the parameters and solve for P, as follow:

[tex]\begin{gathered} 35000=P(1+0.06/6)^{6\cdot10}=P\cdot1.816 \\ P=35000/1.816 \\ P=19273.13 \end{gathered}[/tex]

Hence, the initial investment was 19,273.13

Harris painted 3 times as many pictures as painted. painted 11 pictures. Select the equation that represents this situation. 3 x h = 11 0 ÷ h = 11 h = 11 x 3 h ÷ 11 = 30 its due by today

Answers

Answer:

h=11x3

Step-by-step explanation:

just answered it for someone else 30 minutes ago

a naturalist relocated 12 wild bears in 6 months. the naturalist relocated the same number of wilde bears each month how many wild bears did the naturalist relocate per month HELP SUPER URGENT

Answers

The number of wild bears the naturalist can relocate per month is 2 wild bears.

Number of wild bears relocated by the naturalist = 12 wild bears

Time taken by the naturalist to relocate these wild bears = 6 months

Thus the number of bears the naturalist can relocate in 1 month can be found out by using unitary method

This implies that the number of bears relocated by the naturalist in 1 month or per month = 12 / 6 = 2 wild bears

Thus the number of wild bears the naturalist can relocate per month is 2 wild bears .

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Find the Area of the figure below, composed of a rectangle with two semicircles
removed. Round to the nearest tenths place.
16
D). (
Submit Answer
6
attempt 1 out of 2

PLEASE HELP 20 POINTS!!!!!!!

Answers

well, we know it's a rectangle with two removed semicircle's, hmmm hold on!! two semicircles make together a whole circle, well, let's remake that circle and put it inside the rectangle, then, let's subtract that area from that of the rectangle's, Check the picture below.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{rectangle}{(16)(4)}~~ - ~~\stackrel{circle}{\pi (2)^2} }\implies 64~~ - ~~4\pi ~~ \approx ~~ \text{\LARGE 51.4}[/tex]

An ostrich farmer wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. there are 540 feet of fencing available to complete the job. what is the largest possible total area of the four pens?

Answers

Answer:

135 feet

Step-by-step explanation:

you divide 540÷4 to get the answer

The population of a small city in 2010 was 36,000. In 2015, the population was 43,800. If the population growth is exponential and growth occurs at the same rate, what will be the population be in 2020? round your answer to the nearest whole number.

Answers

The population of the small city in the year 2020 using the given growth rate is; 51600 people

How to solve exponential growth rates?

We are given that;

Population of the small city in the year 2010 = 36000

Population in the year 2015 = 43800

Now, we are told that the growth rate occurs at the same rate per year. Thus;

Population change from 2010 to 2015 = 43800 - 36000 = 7800

Thus, the population increases by 7800/5 = 1560 people each year.

General form of exponential function is; y = bˣ

where b is rate of growth while x is number of years

But here we will use sequence to get;

y(10) = 1560 * 10 = 15600

Thus;

Population in 2020 = 36000 + 15600 = 51600 people

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Help! graph the systems of equations. {2x+y=8 −x+2y=6

Answers

A system of equations is simply a collection of equations that can be dependent, independent, consistent, or inconsistent.

2x + y = 8x - 2y = -6 is x,y = 2,4

How are equations graphed?To graph the equation, choose three x values and list them in a table. (Hint: choose values that are easy to calculate, such as 1, 0 and 1). Simplify the equation by substituting each value to find the associated y-coordinate. Draw a line between each point on a graph with the sorted pairings.A system of equations is simply a collection of equations that can be dependent, independent, consistent, or inconsistent.

Given equation,

2x + y = 8x - 2y = -6

x,y = 2,4

[1]    2x + y = 8

[2]    x - 2y = -6

Solve [2] for the variable  x

[2]    x = 2y - 6

Plug this in for variable  x  in [1]

[1]    2•(2y-6) + y = 8

[1]    5y = 20

Solve [1] for the variable  y

[1]    5y = 20

[1]    y = 4

By now we know this much

x = 2y-6

y = 4

Use the  y  value to solve for  x

x = 2(4) -6 = 2

Hence, {x,y} = {2,4}

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Help with number two please highlight the answer in bold

Answers

ANSWER

Options: II and IV

EXPLANATION

Mean: Is the sum of data values divided by the total number of data values

Deviation: Is the difference between an individual data item and the set's mean.

Absolute value: Is the distance (a positive quantity) between any two points on a number line.

Variability: This relates to how dispersed (or clustered) the values in a data set are. High variability indicates that the data is dispersed. Low variability indicates that the data is grouped together (close together).

MAD: Is the average distance between each data value and the mean is the Mean Absolute Deviation (MAD) of a set of data. The higher the MAD, the more data variability there is (the data is more spread out).

Hence, II and IV are most likely to have the greatest number of values in common because they both have higher MAD (8) meaning that they have more data variability (their data is more spread out) compared to I and III which have MADs equal 4 and 2 respectively.

English 6: what is characteristics?

Answers

Characteristics: special quality or trait that distinguish a person, thing, or group from others.

first test(x)=86,82,47,69,73,47,63,50,59,77,88,87second test (y)=81,71,51,75,69,44,48,48,58,68,83,77find a equation of the least squares regression line. Round the answer to three decimal places, if necessary.

Answers

To find the equation of the line, we will use the formula:

y=mx + b

The formula for calculating the slope is given as :

[tex]m=\frac{N\text{ }\Sigma(xy)-\Sigma x\Sigma y}{N\text{ }\Sigma(x^2)-(\Sigma x)^2}[/tex]

Which of the following statements is true about the congruent triangles below?

Answers

Answer:

[tex]\angle A \cong \angle D[/tex]

Step-by-step explanation:

Let's check each statement:

1) [tex]\angle A \cong \angle D[/tex]

This is true, as both angle A and angle D are marked with double angle measure marks, signifying congruence.

2) [tex]\overline{AC} \cong \overline{EF}[/tex]

This is false, as [tex]\overline{AC}[/tex] is marked with two tick marks, while [tex]\overline{EF}[/tex] is marked with three tick marks.

3) [tex]\overline{BC} \cong \overline{ED}[/tex]

This is false, as [tex]\overline{BC}[/tex] is marked with two tick marks, while [tex]\overline{ED}[/tex] is marked with only one tick mark.

4) [tex]\angle C \cong \angle E[/tex]

This is false, as angle C is marked with three angle measure marks, while angle E is marked with only one mark.

Solve x and express answers in simplist radical forM. 2x^2+3x-=9x+2

Answers

Hello

To solve this question, i will use quadratic formula; however, there are other methods we can use to solve this question.

Step 1

Collect like terms

[tex]\begin{gathered} 2x^2+3x=9x+2 \\ 2x^2+3x-9x-2=0 \\ 2x^2-6x-2=0 \end{gathered}[/tex]

A standard quadratic equation can be represented as

[tex]\begin{gathered} ax^2+bx+c=0 \\ a=2,b=-6,c=-2 \end{gathered}[/tex]

The quadratic equation is given as

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

Therefore,

[tex]\begin{gathered} x=\frac{-(-6)\pm\sqrt[]{(-6)^2-4(2)(-2)}}{2\times2} \\ x=\frac{6\pm\sqrt[]{36+16}}{4} \\ x=\frac{6\pm\sqrt[]{52}}{4} \\ x=\frac{6\pm7.2}{4} \\ x=\frac{6+7.2}{4}=3.3 \\ or \\ x=\frac{6-7.2}{4}=-0.3 \end{gathered}[/tex]

From the calculations above, the value of x is either 3.3 or -0.3

It’s either 33.3 or 0.3

Classify each figure as a line, ray, or line segment. Then, show how to write it. (a) (b) (c) Figure L K H G M Type O line O ray Oline segment O line O ray Oline segment O line Oray Oline segment How to write it 0 X Ś ?

Answers

SOLUTION

The image below shows the answer:

For a: The line in written as:

[tex]\overleftrightarrow{KJ}[/tex]

For b: The ray is written as:

[tex]\overleftarrow{HG}[/tex]

For c: The segment is:

[tex]\overline{LM}[/tex]

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Can someone please help me write 1 or 2 (doesn't matter) paragraphs about the "Triangle Shirtwaist Factory Fire (March 25, 1911) ? .. i do not know how to get the stuff it is asking me for 6. Chester paid a $30 membership fee to a toddler gym and $8 for each of 6 tumblingclasses for his son. The expression 30 + 8 x 6 can be used to evaluate the total costof the program. Is the cost $228 or $78? Explain. 7. ________ diversity is the variety of genes or inheritable characteristics that arepresent in a population.A. SpeciesB. GeneticC. Ecosystem Can I get help on 22. I dont understand what I did wrong Allison spent $7.80 on lunch. That represents 6% of her daily net income. What is Allison's daily net income? Round your answer to the nearest penny if needed. I need help with my math x is inversely proportional to y, and x = 18 when y = 4. a. Write an equation relating x and y b. Find x when y = 30 Consider a satellite in a circular geostationary orbit about the Earth, meaning it orbits above a fixed point on the Earth's equator. You may use the following values in your calculations:- Mass of the Earth, M is 6.0x1024kg;- Gravitational constant G, is 6.67 x 10-11 N m2 kg-2- Radius of the Earth, r is 6400 km or 6.4 x 106 m. At what distance from the centre of the Earth does the satellite orbit? AREA AND VOLUMEInvestigating the effects on the area for non-proportiona Which of the following equation has one solution?Responses4x + 2x = 6x - 4 3 (2x + 4) = 2 (2x - 4)5(x - 3) = 5x - 32x = 2x + 4 Annie's mother asked Annie to go buy oranges, dog food, and bug spray. Each square's side length is 1 block. How many blocks will Annie have to walk in all if she visits the fruit stand, the pet store, and the supermarket, in that order, before returning home? Which number is divisible by both 2, 5, and 10?1. 9002. 8023. 9624. 745 Which of the following is the following measure of angle BOC $57Mr. Harris attaches a full tank of propane to his grill. Then he turns on the grill and cooks food for a barbecue.Which graph shows the relationship between the amount of propane in the tank and time?OAOB.tTime (min.)PropanePropane unlike commodity money, paper currency has no or very little intrinsic value. therefore, paper currency is a commodity money. fiat money. barter money. bond. 5. The picture below showsthe number of pages in 3textbooks.424 pages 290 pages286 pagesMarc has 10 days to finish allthree before exams. He plansto read an equal amounteach day. How many pagesshould he read the first day? Consider the data regarding car costs. The mean is $22,000 and the standard deviation is $2,000.a) Not everyone pays the same price for the same model of car. Use the 68-95-99.7% Rule to find what percentage ofbuyers paid between $18,000 and $26,000.b) The middle 99.7% of car costs are between what values?c) What is the probability a car will cost less than $24,000?d) What is the probability a car will cost more than $26,000? Hi Ive been struggling with these two problems for sometime now