Mathematics High School

5. Caroline and Grant are building sandcastles in
the annual Coney Island Sand Sculpting Contest
The diagram below represents their final products
a. Which sandcastle has the greatest volume?

5. Caroline And Grant Are Building Sandcastles Inthe Annual Coney Island Sand Sculpting ContestThe Diagram

Answers

Answer 1

Answer:

The sandcastle B has the greatest volume

Step-by-step explanation:

The volume of a pyramid is given by the following formula:

V = (1/3) * A * h

Where A is the base area and h is the height.

Now we can calculate the volume of both pyramids:

V1 = (1/3) * 30 * 6 = 60 in3

V2 = (1/3) * 24 * 8 = 64 in3

So the volume of the pyramid B is bigger than the volume of the pyramid A.

Related Questions

Faces A and C are squares.
A prism is made up of 4 rectangles and 2 squares.

What is the best name of the solid that can be formed by this net?
cube
cylinder
rectangular prism
square prism

Answers

Answer:

square prism

Step-by-step explanation:

it says Faces A and C are squares.

so...

The type of rectangular prism.

What is prism?

Prism is a three-dimensional solid object in which the two ends are identical.

As, the faces  B, C, D and E are in rectangle shape.

so, its side faces will be squared shape and remaining four faces will be rectangle shape.

Hence, the shape of solid is rectangular prism.

Learn more about prism here:

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What is the value of arc x if the
central angle is 140°?
140

Answers

Answer:

it'll just be 140º

Step-by-step explanation:

because the central angle and the arc value are both congruent

Kevin uses each of the digits 5, 7, 4 and 9, once and once only, to make
four-digit numbers.
c)
What is the largest number that he can make?
9754
What is the smallest even number that he can make?​

Answers

Answer: smallest 5794

Step-by-step explanation:

Answer:

5794

Step-by-step explanation:

5794 is the answer because...

Step one If we want to find the smallest even number we have to find out what the smallest number is first. So A trick I have learned is when you have the biggest number the smallest number is just the biggest number backwards. so if it was 9754 the smallest number is 4579.Step two since this is an odd number we have to make the last number of the smallest number even. To do so we have to take the smallest even number which is 4 and out it at the end. We also have to keep the number at it's smallest.Step 3 is to rewrite the Answer. Now we have four at the end our new number is 5794Hope this helped :)

i need help and i’m trying my best

Answers

Answer:

Minimum: 2

Quartile 1: 9

Quartile 2: 11

Quartile 3: 20

Maximum: 24

Step-by-step explanation:

(2,4,{9,10,11,14,20},23,24)

Answer:

Minimum: 2

Quartile 1: 9

Quartile 2: 11

Quartile 3: 20

Maximum: 24

Step-by-step explanation:

Stonks

Ariah has a hot air balloon. When full, the balloon is a sphere with a radius of 9 meters. She fills it with hot air whose density is 0.9 kilograms per cubic meter. Since this is less dense than the air in the atmosphere, the balloon is carried upwards.
How much air does Ariah need to fill the balloon?

Answers

2748.267 kilograms

Find the volume of the sphere which is 3053.63

Then multiply is by .9 to get that as the answer

Find all of the solutions for the following equation. 2 sin q + 3 = sin q + 2

Answers

Answer:

q = 270 degrees + 360n  where n is an integer

Step-by-step explanation:

2 sin q + 3 = sin q + 2

Subtract sin q from each side

2 sin q - sin q + 3 = sin q + 2

sin q + 3 = 2

Subtract 3 from each side

sin q +3-3 = 2-3

sin q = -1

Take the inverse sin of each side

sin ^-1 (sin q) = sin^-1 (-1)

q = 270 degrees + 360n  where n is an integer

It is 85 miles from central city to smithville and 125 miles from smithville to jonesburg. How many gallons of gas will it take to drive from central city to smithville to jonesburg in a car which gets 30 miles per gallon?

Answers

It will take 7 gallons of gas to drive from Central City to Smithville to Jonesburg in a car that gets 30 miles per gallon.

To calculate the total amount of gas needed to drive from Central City to Smithville to Jonesburg, we need to add up the distances for each leg of the trip and then divide by the car's mileage per gallon.

Central City to Smithville: 85 miles

Smithville to Jonesburg: 125 miles

Total distance: 85 + 125 = 210 miles

Given the car gets 30 miles per gallon, divide total distance by mileage per gallon:

Total gallons of gas needed = 210 miles ÷ 30 MPG = 7 gallons

Therefore, it will take 7 gallons of gas to drive from Central City to Smithville to Jonesburg in a car that gets 30 miles per gallon.

What is the measure of angle 3?

Answers

68 degrees the reasoning would be because of corresponding angles

I hope this helps!

(x - 5) + (x - 1)
Simplify

Answers

Answer: 2x-6

Step-by-step explanation: 1 Remove parentheses.

x-5+x-1x−5+x−1

2 Collect like terms.

(x+x)+(-5-1)(x+x)+(−5−1)

3 Simplify.

2x-62x−6

2x+6 because you cross multiply and add both x’s to make a 2. and two negatives make a positive and you add the 5 and the 1 to get 2x+6

Please help with this

Answers

Answer:

26 square feet (no floor)38 square feet (with floor)

Step-by-step explanation:

The triangular end of the tent has a base of 3 ft and a height of 2 ft. Its area can be found using the formula for the area of a triangle:

  A = (1/2)bh

  A = (1/2)(3 ft)(2 ft) = 3 ft^2

__

The rectangular side of the tent has a length of 4 ft and a width of 2.5 ft. Its area can be found using the formula for the area of a rectangle:

  A = lw

  A = (4 ft)(2.5 ft) = 10 ft^2

___

If we assume the tentmaker makes the two sides not shown exactly the same as these, then the total above-ground material will be ...

  2(3 ft^2 +10 ft^2) = 26 ft^2

If there is on-ground material (a floor), that rectangle adds (3 ft)(4 ft) = 12 ft^2 to the total.

The area of the tent above-ground is 26 square feet. With a floor, it is 38 square feet.

rewrite the following without an exponent 4^-2

Answers

Answer:

1/16

Step-by-step explanation:

so basically you would do the opposite of the negative so then it would be 4^2 and then that is 4*4 so then u are gonna do 1 over 4*4 which is 1/16

An expression is defined as a set of numbers, variables, and mathematical operations. The expression 4⁻² without an exponent is written as 1/16.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression without an exponent can be written as,

4⁻²

= 1/(4²)

= 1/16

Hence, The given expression without an exponent can be written as 16.

Learn more about Expression:

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To convert 6,986 g to kg, you move move the decimal point _____ places to the _____.

Answers

3 places to the left :)

Answer:

Step-by-step explanation:

I’m gay

What is the value of the expression -9(2.2)?

Answers

Answer:

-19.8

Step-by-step explanation:

I did -9×2.2 on my calculator

What’s the value of x?

Answers

Answer:

150 degrees

Step-by-step explanation:

Let's call the angle in the triangle next to the 78 A, the one next to the 132 B, and the one next to the x C. You know that the measure of angle A is 180-78=102 because they are linear pairs. Similarly, the measure of angle B is 180-132=48 degrees. Because all of the angles in a triangle must add up to 180 degrees, C must be 180-102-48=30 degrees. Finally, since x and C are linear pairs, x's angle measure must be 180-30=150 degrees. Hope this helps!

A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show

Answers

The cost of each ticket is $4.

How to find the price of each ticket?

Here we know that the family buys 6 tickets, and they also pay $3 for a parking fee.

The total amount that they spend is $27.

If we remove what the paid for the parking fee, we only will have the cost of the 6 tickets, then we have:

$27 - $3 = $24

Now, we divide this by the number of tickets bought:

$24/6 = $4

Each ticket costs $4.

If you want to learn more about quotients, you can read:

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x squared plus 8 squared equals 9
What is X?

Answers

Answer:

x = [tex]i\sqrt{55} , -i\sqrt{55}[/tex]

Step-by-step explanation:

x^2 + 8^2 = 9

Simplify the 8^2

x^2 + 64 = 9

Subtract 64 from both sides

x^2 = -55

Take the square root from both sides

x = +/- [tex]\sqrt{-55}[/tex]

Simplify

x = [tex]i\sqrt{55} , -i\sqrt{55}[/tex]

Hope this helps!

Is v=5 a solution of the equation 4 + v=1

Answers

Answer:

No it isnt a solution

Step-by-step explanation: 4+5 doesnt =1 therefore it doesnt work

Answer:

no

Step-by-step explanation:

4+v = 1

Substitute the value in and see if the equation is true

4+5 = 1

9 =1

This is not true so 5 is not a solution

The following table represents a sample of sale prices, in thousands of dollars, and number of
new homes available at that price in 2017
160/180 | 200 | 220 | 240 | 26 |
280
Sale Price, p
(in thousands of dollars)
Number of New Homes Available
fip)
126
103
82
751
40
20

Answers

Correct question

Sale Price :160 | 180 | 200 | 220 | 240 | 260 | 280

New home     : 126 | 103 | 82 | 75 | 82 | 40 | 20

A.) state the linear regression function that estimates the number of new homes available at a specific price.

B.) state the correlation Coefficient of the data, and explain what it means in the context of the problem

Answer:

Y = -0.79X + 249.86

R = -0.9543

Step-by-step explanation:

Sale Price :160 | 180 | 200 | 220 | 240 | 260 | 280

New home     : 126 | 103 | 82 | 75 | 82 | 40 | 20

Calculate the Linear regression equation :

Using the linear regression calculator :

The linear regression equation is :

Y = -0.79X + 249.86

The correlation Coefficient 'R' measures the strength of statistical relationship between the relative movement of two variables. The The value of R is -0.9543 in the question above.

This is a strong negative correlation, which means that high sales price of homes scores correlates with low number of new homes  scores (and vice versa). Homes with high sales price have fewer number of new homes.

The correct answer to the given table based on the linear regression is:

Y = -0.79X + 249.86R = -0.9543

What is Correlation Coefficient?

This refers to the number between -1 and +1 where the interdependence of two variables are shown.

Hence, based on the given table:

Sale Price :160 | 180 | 200 | 220 | 240 | 260 | 280

New home    : 126 | 103 | 82 | 75 | 82 | 40 | 20

To find the Linear regression equation :

Y = -0.79X + 249.86

R= -0.9543

Hence, we can see that the correlation coefficient "R" is used to show the statistical relationship between the two variables.

As a result of the strong negative correlation, then there would be higher prices for homes and lower number of new homes.

Read more about correlation coefficient here:

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F(x)
Can someone explain how to do F(x) problems​

Answers

Answer:

X | F(x)

-4 | -3

-2 | -1

0 | 1

2 | 3

4 | 5

Step-by-step explanation:

F(x) problems or function problems are input/output questions. You put the X value in for X in F(x) to get an output. In this question a graph is used. In this case the question gives a table, so you can simply find the inputs and outputs based on a pattern.

In the X-values or the input values: -4, -2, 0

You can keep going by two: 2, 4

In the F(x) values or output values: 1, 3, 5

You can't count backwards by two to get: -1, -3

help pleaseeee i don’t know

Answers

Answer:

C, at least that's what I think.

what is anouther way to write this number? 300 + 70 + 5/10 + 8/100.

Answers

Answer:

Yes, 370.58

Step-by-step explanation:

5/10= .5 and 8/100 = .08. Put all of them together and you have your answer. I hope this helps.

Answer:

370.58

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]=[tex]\frac{1}{2}[/tex]=0.5

[tex]\frac{8}{100}[/tex]=0.08

300+70+0.5+0.08=370.58

Compare the surface area of the composite figure to the surface area to the combined surface areas of the figures if they were separated. The composite surface area would be the surface area of the rectangular prism plus the surface area of the square pyramid considered separately. You should not count the pyramid’s as part of the composite figure’s surface area.

Answers

Answer:

Less then

Square base

Step-by-step explanation:

Did it on edu.

Answer:

the first one is less than and the second one is square bass

Step-by-step explanation:

PUPUL 2
What is 1,630 divided by 44 as a decimal?
37.045
37.045
37.045
37.0454
Submit

Answers

Answer:

37.045

Step-by-step explanation:

Answer:37.045

Step-by-step explanation:

there is a little line over 45

mr.brown wants to withdraw 1,000 from his bank in ten dollar bills. how many ten dollar bills should he receive​

Answers

Answer:

100 ten dollar bills

Step-by-step explanation:

1000 / 10 = 100

If LM bisects Angle JLK find LJ

Answers

Answer:

14 units

Step-by-step explanation:

Given: LM bisects [tex]\angle JLK[/tex]

To find: LJ

Solution:

According to angle bisector theorem,

an angle bisector of a triangle divides the interior angle's opposite side into two segments that are proportional to the other two sides of the triangle.

In [tex]\Delta JKL[/tex], LM bisects [tex]\angle JLK[/tex]

Using angle bisector theorem,

[tex]\frac{LK}{LJ}=\frac{KM}{JM}\\\frac{LK}{LJ}=\frac{KM}{JK-MK}\\\frac{8}{x+3}=\frac{4}{x-4}\\8(x-4)=4(x+3)\\8x-32=4x+12\\8x-4x=12+32\\4x=44\\x=\frac{44}{4}=11[/tex]

So,

[tex]LJ=x+3=11+3=14\,\,units[/tex]

Answer:

14 units

Step-by-step explanation:

Write the coordinates of one point that lies in the
second quadrant of the coordinate plane?

Answers

(3,5) is a point that lies in the second quadrant, along with any two positive points

Answer:

Any coordinates with a negative value for x and positive one for y will fit this description. For example, (-1, 1).

Step-by-step explanation:

Which triangle is a translation of triangle X?

On a coordinate plane, triangle X is shifted 3 units down and 4 units to the left to form triangle B.
triangle A
triangle B
triangle C
triangle D

Answers

Final answer:

Triangle B is the translation of triangle X as it is moved 3 units down and 4 units to the left.

Explanation:

The question involves finding a triangle that is a translation of another triangle on a coordinate plane. A translation in geometric terms means moving a shape in the plane without rotating or resizing it.

According to the given information, triangle X is translated 3 units down and 4 units to the left to form triangle B.

Based on this information, triangle B is the translated figure of triangle X, and thus it is the correct answer.

please help! very confused

Answers

Answer:

180°

Step-by-step explanation:

Straight line so has 180° angle.

Answer:  180 degrees

A straight line is what Euclid called two right angles.  That's 180 degrees.  Think of it as just a bit more than 179 degrees.

which is greater 2/3 5/10 7/8 or 1/2 ?

Answers

2/3 is equal to 0.66667
5/10 is equal to .5
7/8 is equal to .875
1/2 is equal to .5

So the answer would be 7/8 is greater

Answer:

Step-by-step explanation:

hello  :

2/3 =(2×8)/(3 ×8) = 16/24

5/10 = 1/2= (1×12)/(2 ×12)=12/24

7/8= (7×3)/(8 ×3)= 21/24

the greater is : 7/8

I NEED HELP NOW!!!! Please this is Due!!
Mr. Odtuhan is saving coins to purchase a basketball for the St. Elizabeth Panthers team.
He has 220 coins in dimes and quarters. The total value of the coins is $34.75. How many of
each coin does he have?

Answers

Answer:

85 quarters and 135 dimes

Step-by-step explanation:

its basically a guess and check

formula - 0.25q + 0.10d = $34.75

0.25 x 85 + 0.10 x 135 = 34.75

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