Pyramid A has a volume of 60 mm3 and Pyramid B has a volume of 937.5 mm3. What is the ratio of their heights?

Answers

Answer 1

A pyramid is a polyhedron built by connecting a polygonal base and a point known as the top. The ratio of the height of pyramid A to pyramid B is 0.064.

What is a pyramid?

A pyramid is a polyhedron built by connecting a polygonal base and a point known as the top. A lateral face is formed by the base edge and top of each triangle.

The volume of a pyramid is given by the formula,

Volume of the pyramid = (Length×Width×Height)/3

                                       = (Area of base ×Height)/3

If the area of the base of the two pyramids is the same, then the ratio of the volume of the two pyramids will be,

[tex]\dfrac{\text{Volume of Pyramid A}}{\text{Volume of Pyramid B}} = \dfrac{60\rm\ mm^3}{937.5\rm\ mm^3}\\\\\\\dfrac{3 \times \text{(Area of base})_a \times h_a}{3 \times \text{(Area of base})_b \times h_b}= \dfrac{60}{937.5}\\\\\\\dfrac{h_a}{h_b} = 0.064[/tex]

Hence, the ratio of the height of pyramid A to pyramid B is 0.064.

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Related Questions

Fake records usually have fewer first digits 1, 2, and 3. What is the approximate probability, if Benford's law holds, that among 1500 randomly chosen invoices there are 843 or fewer amounts with first digit 1, 2, or 3

Answers

The probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

How to determine the probability?

The given parameters are:

Fewer digits = 843

Total = 1500

The probability is then calculated as:

P = 843/1500

Evaluate the quotient

P = 0.562

Hence, the probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

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sharmar spent at least 30 minutes playing his guitar on saturday he spent 10 minutes longer playing his guitar on saturday than on friday. how many minutes could shamar have played his guitar on friday F?

Answers

20 minutes
Because-


If he did ten more minutes then friday just do 30 - 10 whih 20 mins

find the area of this triangle. round to the nearest tenth. 17 m, 15 m, and 35 degrees

Answers

area of triangle

= 1/2 b*h

=1/2 17*15

=8.5*15

=127.5m²

If:
JT = 22x +9,
CJ = 62 +4, and
CT = 37,
Find JT.

Answers

jt- 22x+9..

It clearly says JT=22X+9

try 22+9..?

How would I make a dot plot with these requirements?:
1. It has at least 10 values.
2. It has at least 3 values that are different.
3. It has a mean and median of 12.

Answers

Answer:

2

Step-by-step explanation:

If the volume of sphere is 4574.9 cubic inches is the radius?

Answers

Answer:

10.3

Step-by-step explanation:

Volume of a sphere

 V = 4/3 pi r^3

4574.9  = 4/3 (3.14) r^3

r= 10.3 in

Select the correct answer from the drop-down menu. an automobile manufacturer wants to find out what types of product-related problems its customers are experiencing. the best method to gather the data is .

Answers

The correct answer from the drop-down menu is a survey, this is because the type of data you are interested in is more subjective and open-ended.

What is the survey method?

To find out what types of product-related problems its customers are experiencing we need to investigate about the problems faced by customers by means of collecting data from a sample of population.

In this case, we have that a survey is a data collection of questions used to gather information about population.

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Writing fractions with a common denominator to add or subtract

Answers

Answer:

5/6-1/9=45/54-6/54=39/54.

Step-by-step explanation:

hey!

To make fractions have a common denominator, multiply both the numerator and denominator by the same number. For example, 5/6=45/54 because I multiplied 5 and 6 both by 9, and 1/9= 6/54 because I multiplied 1 and 9 by 6. This is the same for all fractions.

Hope this helped :)

Answer:

13/18

Reasoning:

First. We have to find the GCD

Second. Multiply both fractions with the number that creates the GCD

5/6 x 3/3 - 1/9 x 2/2 = 15/18 - 2/18

Third. Subtract 15/18 - 2/18 = 13/18

( Would appreciate if you marked me brainliest )

SOMEONE HELP ME PLS I NEED HELP

Answers

Answer:

[tex]m\angle{W} = {75{^\circ}}[/tex]

[tex]m\angle{Y} = {15{^\circ}}[/tex]

[tex]m\angle{Z} = {90{^\circ}}[/tex]

Step-by-step explanation:

All angles in a triangle must add up to [tex]180{^\circ}[/tex]

First we can use an equation to find [tex]x[/tex]

[tex](x - 15) + (2x - 165) + 90 = 180[/tex]

[tex]3x - 180 = 90[/tex]

[tex]3x = 270[/tex]

[tex]x = 90[/tex]

Now we can solve for [tex]\angle W[/tex]and [tex]\angle Y[/tex] through substitution

[tex]\angle{W} = 90 - 15 \rightarrow \boxed{75{^\circ}}[/tex]

[tex]\angle{Y} = 2x - 165 \rightarrow 2(90) - 165 \rightarrow 180 - 165 \rightarrow \boxed{15{^\circ}}[/tex]

Now we can classify the triangle

It is right because it has a [tex]90{^\circ}[/tex] angle

These are the answers

- Kan Academy Advanced

Find the solution of the square root of the quantity of x plus 2 plus 4 equals 6, and determine if it is an extraneous solution. x = 2; extraneous x = 2; not extraneous x = 30; extraneous x = 30; not extraneous

Answers

The solution of the equation √x+2 + 4 = 6 is x = 2 and it is not an extraneous solution

How to find the solution of an equation?

The solution of the equation can be found as follows;

√x+2 + 4 = 6

subtract 4 from both sides

√x+2 + 4 - 4 = 6 - 4

√x+2  = 2

square both sides

(√x+2)² = 2²

x + 2 = 4

x= 4 - 2

x = 2

Therefore the solution is x = 2 and it is not a extraneous solution.

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The volume of this rectangular prism is 122,264 cubic millimeters. What is the value of z? (will mark brainliest)

Answers

Answer:

z = 58 mm

Step-by-step explanation:

Volume of the rectangular prism :

Volume = length x breadth x height

Solving :

122,264 = 62  x z x 34122,264 = 2,108 x zz = 122,264/2,108z = 58 mm

Answer:

z = 58 mm

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

v = 122,264 mm³l = 62 mmw = z mmh = 34 mm

Substitute the values above and solve for z:

122,264 = 62 × z × 34

122,264 = 2108z

122,264/2108 = 2108z/2108

58 = z

Final answer: 58 mm

Hope this helps!

1 A jewelry salesperson eams 55% commission on all sales. Today he sold $7,770 in jewelry. What is his total commission earned? The total commission the salesperson earned is $ (Round to the nearest cent as needed.)​

Answers

Answer:

$4,273.50

Step-by-step explanation:

Multiplying the total sale amount by 55% commission :

7,770 x 55%7,770 x 0.557,770 x 11/20388.50 x 11$4,273.50

If it takes 15 minutes to dry your hair with a 1.200 kW hair drier, how much energy is used in drying your hair?

Answers

The quantity of energy moved or transformed per unit of time is referred to as power. The amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

What is power?

The quantity of energy moved or transformed per unit of time is referred to as power.

Formula: Power = Energy / Time

Units: kW = kWh / hour

The power of electric equipment is given by the formula,

P = E/t

where E is the energy consumed in kWh and t is the time in hours.

Given the power of the hairdryer is 1.200 kW while the time for which it is kept on is 15 minutes, therefore, 0.25 hours. Now, the energy consumed by the dryer in 15 minutes will be,

1.200 kW = E / 0.25

0.3 kWh = E

Hence, the amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

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two squares have a total area of 208cm square and sum of their perimeter is80cm what are the length of sides of square

Answers

The length of the sides of the square are 8 centimetres and 12 centimetres respectively

How to finds area of a square?

area = l²

where

l = side length

Therefore,

x² + y² = 208

How to finds perimeter of a square?

perimeter = 4l

4x + 4y = 80 cm

x + y = 20

x = 20 - y

(20 - y)² + y² = 208

y² - 40y + 400 + y² = 208

2y² - 40y + 192

y² - 20y + 96

(y - 12)(y - 8)

Therefore, y  = 12 and y = 8

when y = 8

x + 8 = 20

x = 12

when y = 12

x + 12 = 20

x = 8

Therefore, the length of the sides of the square are 12 cm and 8 cm.

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Help pls
In the figure below, the areas of rectangles A, B, and C are 11, 33, and 75,
respectively. Find the area of rectangle D.

Answers

If the areas of rectangles A, B, and C are 11, 33, and 75, respectively. Then the area of the rectangle D will be 25 square units.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

In the figure below, the areas of rectangles A, B, and C are 11, 33, and 75, respectively.

Then the area of the rectangle D will be

Let a be the length and b be the width of the rectangle D. Then we have

The ratio of the area of the rectangles will be

[tex]\rm \dfrac{A_A}{A_B} = \dfrac{A_D}{A_C}\\\\\\A_D = \dfrac{A_A \times A_C}{A_B}\\\\\\A_D = \dfrac{11 \times 75}{33}\\\\\\A_D = 25[/tex]

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what's the answer to 4x-6=3x

Answers

4x - 6 = 3x

4x - 6 - 3x = 0

x - 6 = 0

x = 6
X=6…………………..
Hope this help

2. In circle 0, points A and B lie on the circle such that OA = 2x + 9 and OB = 27 – x. Which of the following
represents the length of the radius of circle O?
(1) 6
(3) 21
(2) 18
(4) 42

Answers

6 because you set them equal and solve

Write and simplify an expression that represents the sum of the perimeters of the square and the triangle.



A square with side length 6x. A triangle with side lengths 3x, 3x, and x - 2.

Answers

Answer:

To solve this question, you simply apply algebraic formulas to geometric relationships.

The perimeter is simply the sum of the lengths of the sides of a shape. However, in this case, there is an "x" involved, so you must add algebraically.

Simply add the length of the sides up.

[3x] + [6x-2] + [x+3] + [4x+1] + [5x-2] = Perimeter

Now, simplify. Since adding is commutative, you can simply put all the variables first and constants next, no matter where they come from within the expression.

3x + 6x + x + 4x + 5x + -2 + 3 + 1 + -2

19x + 0 (-2-2 + 3+1 cancel out)

The perimeter of this pentagon is 19x.

Step-by-step explanation:

The blue dot is at what value on the number line?

Answers

Answer:

I believe it would be -20 because the number line values skip by 2 or 3 each skip.

Suppose that in a random sample of 240 smartphone users, 160 used an iPhone. Conduct a hypothesis test at significance level 0.02 to test the claim that more than 58% of smartphone users use an iPhone.
State the null hypothesis, the alternative hypothesis, the test statistic, the (P-value or traditional method), and formulate your conclusion.
Null hypothesis: ____________________
Alternative hypothesis: __________________
Test Statistic:
p-value value: ________
Conclusion: __________________________________

Answers

Answer:

you will get the correct answer

Step-by-step explanation:

I need points ASAP!!

what is 0.000285 expressed in scientific notation

Answers

Answer: the answer is 2.85 x 10^-4

Step-by-step explanation:

or u can just look up  Mathway and that will give you the answer and a much quicker way too https

Point A is located at (1, 5), and point M is located at (−1, 6). If point M is the midpoint of segment AB, find the location of point B.

Question 6 options:

(−3, 7)


(0, 5.5)


(3, 4)


(0, 5)

Answers

The location of point B is (0,5.5).

What is section formula?

The section formula tells us the coordinates of the point which divides a given line segment into two parts such that their lengths are in the ratio m : n.

Given: A(1,5), M(-1,6)

If M is the mid point of line AB, then

let the coordinates of B(a,b),

Using section formula,

a= 1*1+1*(-1)/(1+1)

a= 0/2

a=0

b= 1*6+1*5/2

b=11/2

b=5.5

Hence, the coordinated of B(0,5.5).

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Answer:

B. (0,5.5)

B's location is (0,5.5)

can i have help with this please if you do it you're a lifesaver

Answers

Answer:

1, 2, 5, and 10

Step-by-step explanation:

Factors of 30 :

1, 2, 3, 5, 6, 10, 15, 30

Factors of 20 :

1, 2, 4, 5, 10, 20

what is a venn diagram?a venn diagram is an illustration that uses circles to show the relationship between things or group of things. Circles that overlap share the same traits (in this case numbers) and those that do not overlap dont share the same traits.

What numbers go in the shaded overlap?

1, 2, 5, and 10

How many solutions does this equation have?

–9d + 4 = –4 − 10d

Answers

Answer:

One Solution

Explanation:

–9d + 4 = –4 − 10d

change sides

–9d + 10d = -4 - 4

one solution ↓

d = -8

Answer:

One solution

Step-by-step explanation:

When solving for d, you get d = - 8

Please help me I will give brainliest I need help

Which data set is represented by the modified box plot?

Box and whisker plot on a number line from 90 to 160 in increments of 5. The whisker ranges from 114 to 152. The box ranges from 120 to 139 with the vertical bar inside the box at 128. One dot mark above ninety-one.





134, 142, 136, 128, 126, 152, 91, 114, 120, 139, 128

134, 142, 136, 128, 126, 168, 91, 114, 120, 139, 128

134, 142, 136, 120, 120, 152, 91, 114, 120, 139, 134

134, 142, 136, 128, 126, 152, 102, 114, 120, 139, 128

Answers

Answer:

I think it's B

Step-by-step explanation:

:)

I need help please I have a picture of the problem down below.

Answers

Answer:

Step 1: Create a net for the triangular prism by "cutting" two edges of the triangular faces and unfolding.

Step 2: Find the area of each triangle. Find the area of the rectangle.

Step 3: Add all areas from step 2 together. This is the surface area.

Step-by-step explanation:

help meeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

*These Should be the correct answers*

1.C

2.D

Step-by-step explanation:

Can someone PLEASE help with these 10th grade geometry angle problems? I have no idea how to solve these and I'm desperate. My teacher won't get back to me and I really need this done. will reward brainly and 5 stars + thanks. You don't have to answer both if you don't want to. either would help tremendously.

Answers

Question 1

Given

m∠MPN = 35°mLP = 130°

To find

The value of mMN

We can see MN is intercepted by the angle MPN.

Inscribed angle is half the measure of intercepted arc

m∠MPN = 1/2mMN ⇒

mMN = 2 × m∠MPN = 2 × 35° = 70°

The answer is mMN = 70°

Question 2

Given

m∠AOB = 40°mED = 60°

To find

m∠COD

See the solution with reasons for each line

m∠COD = m∠EOB             ⇔ vertical angles are congruent

mBD = 180°                         ⇔ BD is diameter and cuts the circle in   half

m∠EOB = mBD - mED        ⇔ Angle addition

m∠EOB = 180° - 60° = 120° ⇔ Substitution

So the answer is m∠COD = 120°

Use the inverse matrix to solve this system of equations:

Answers

An inverse matrix is drawn from the concept of reciprocity in which the product of a number and its reciprocal will sum up to one (1). Note that an identity matrix is equal to the product of a square matrix and its inverse.

What other kinds of matrixes are there?

In mathematics you have the following types of matrices:

Column matrixNull MatrixSquare MatrixRow MatrixLower Triangular Matrix etc.

It is to be noted that the information required to solve the equation is incomplete hence the general answer.

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1 AB is tangent to circle O at B. The diagram is not drawn to scale. If AB=12 nd AO=15, what is the length of the radius (r)

Answers

Answer:

r = 9 units

Step-by-step explanation:

since AB is a tangent to the circle at B , then ∠ ABO = 90°

so Δ ABO is a right triangle

using Pythagoras' identity in the right triangle

OB² + AB² = AO² , that is

r² + 12² = 15²

r² + 144 = 225 ( subtract 144 from both sides )

r² = 81 ( take square root of both sides )

r = [tex]\sqrt{81}[/tex] = 9

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