Mathematics Middle School

The base of the pyramid below is a square that has an area of 64 square inches.

Suppose that the pyramid is sliced so that the cross-section is a square with an area of 49 square inches.

How can you slice the pyramid to get that square?

The Base Of The Pyramid Below Is A Square That Has An Area Of 64 Square Inches.Suppose That The Pyramid

Answers

Answer 1

The height of the pyramid must be sliced by a factor of 7/8

How to slice the pyramid to get the square?

From the question, we have the following parameters that can be used in our computation:

Area of base of the pyramid = 64 square inches.Area of cross-section of the pyramid = 49 square inches.

The base length of the pyramid is

L^2 = 64

L = 8

For the cross-section, we have

l^2 = 49

l = 7

Using the similar shapes, we have the height h to be

(L - l)/h = l/L

So, we have

(8 - 7)/h = 8/7

This gives

1/h = 8/7

Evaluate

h = 7/8

This means that the height of the pyramid must be sliced by a factor of 7/8

Read more about scale factor at

https://brainly.com/question/29229124

#SPJ1

Related Questions

Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?

A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft

Answers

Answer:

D

Step-by-step explanation:

just multiply the three over four inches with seven and a half to get the accurate measurements

the answer to this is D

ANSWER THIS QUESTION WILL GIVE AROUND 15 POINTS AND BRAINLIESTT

Answers

Answer:

it's just 25or26 minutes

Step-by-step explanation:

75+75=140

60*60=3600

140/3600

25.7=26

please help me i need it.

Answers

Answer:

answer is 3/5

Step-by-step explanation:

The to your question is 3/5

Help please. I need 5 percent in khan

Answers

Answer: 1


Identify the point on the axis where x = -9, and find the correlating portion of the function above or below that axis. In this case, the function is equal to 1 when x is equal to -9.

Answer:

y= 1

Step-by-step explanation:

You simply need to look at the graph. When we look at the x-axis and look at -9, the line graphed (y-axis) is at 1.  So point (-9,1) shows us our answer!

Look at my image below for more help!

Hope it helps!

helpme with this plsss

Answers

Answer:

7x + 96 = 180

Step-by-step explanation:

We are given that the right side of the equation should be 180 because that is equal to the sum of the triangle's interior angle measures.

We can solve for the left side by adding the triangle's interior angle measures.

(2x + 1) + (5x + 5) + 90

Remember that a right angle is 90°.

All we need to do from here is combine like terms:

= (2x + 5x) + (1 + 5 + 90)

= 7x + 96

So, the equation that represents the model is:

7x + 96 = 180

Answer:

C) 7x + 96° = 180

Step-by-step explanation:

their is one right angle and 2 equations. The sum of the interior angle is 180

90° + 2x + 1 + 5x + 5 = 180

Combine like terms

90 + 1 + 5 = 96

2x + 5x = 7x

7x + 96° = 180

(7th)Math question someone pls explain how to answer it I am stuck pt.9

Answers

Answer: The probability of not choosing a black shirt is 8/10 or 80%.

Step-by-step explanation: You add up the number of total shirts and then subtract the number of black shirts.

Answer:

20% probability of not choosing the black shirt

Step-by-step explanation:

There are 10 shirts on the shelves. Each has a 10% chance of not being chosen. There are 2 black shirts which have 10% chance each of not being chosen. if you sum it up ( 10% ×2) you will get a 20% probability of the black not being chosen.

Therefore there is a 20% probability of not choosing the black shirt

Hi, This is Part B to the previos question i was offering 50 points for, Im now offering 30 points for this question. I need an answer and explanation please.

Answers

Part A ending answer: 3 cups.

1/4 of a gallon=4 cups

If I understand this correctly, there was a total of 7 cups before it was poured, adding the original answer to this one.

7 cups would equal .43 gallons, a bit less than half a gallon. If that's so, then .43 would equal 43 percent, and 43% of 128 fluid ounces would be 55.04 fluid ounces. Now the further solution, with more numbers past the decimal, it would be equal to approximately 56.

Therefore, my answer, if I understood correctly, would be 56.

Hi could someone please help me

Answers

Answer: y = -1/4x - 6

Step-by-step explanation: the slope is -1/4 because slope = rise/run, the rise is 1, and the run is 4 and the slope is negative. the y intercept is -6 because it passes through -6 at the y axis.

Answer:

-1/4x + -6

Step-by-step explanation:

The slope is -1/4 because slope = [tex]\frac{rise}{run}[/tex],

So:

-[tex]\frac{1}{4}[/tex] is the slope, also is negative.

The y intercept is -6 because it passes through -6 at the y axis.

( I also checked it on khan Academy and it was correct)

Hope this helps :)

Pls brainliest...

simplify

10m + – 8 + 9m + – 10m

Answers

Answer:

9m-8

Step-by-step explanation:

you need to group like terms and solve

Answer:

9m - 8

Step-by-step explanation:

We know that,

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( + )

( - ) × ( + ) = ( - )

Accordingly, let us solve it now.

10m + ( – 8 ) + 9m +  ( – 10m )

Solve the brackets.

10m - 8 + 9m - 10m

Combine like terms.

9m - 8

what is the approximate radius of a sphere with a volume of 113cm cubed
a 2cm
b 4cm
c 5cm
d 3cm

Answers

I looked up the answer and I got d 3cm

Answer:

D- 3cm

Step-by-step explanation:

I looked it up

Triangle JKL was dilated with the origin as the center of dilation to create triangle J'K'L'. The triangle was dilated using a scale factor of 1/2. The coordinates of the vertices of triangle JKL are given. You can use the scale factor to find the coordinates of the dilated image. Enter the coordinates of the vertices of triangle J'K'L' below.
(Decimal values may be used.)

Answers

Answer:

J' (-2, 2.5), K' (1, 2.5) L' (1, -2.75)

Step-by-step explanation:

With a scale factor of 1/2=.5 you can simply multiply all coordinates by .5 (or divide by 2)

J (-4,5) x 1/2= (-2, 2.5)

K (2,5) x . 5 = (1, 2.5)

L (2, -5.5) /2= (1, 2.75)

Round to the nearest ten, then estimate the product. 82 x 78 = ___

5,600
6,300
6,400
7,200 i just want to make sure i picked the right one, i want to get a 100% on my test

Answers

Answer:

The answer is 6,400 I hope you get a good grade

On a math assignment Audrey was asked to draw a regular polygon. The image below shows the shape that she drew.

What could you do to determine if Audrey’s shape is a regular polygon?

Answers

Answer:

According to Wolfram, "sided polygon in which the sides are all the same length and are symmetrically placed about a common center."

According to TheSchoolRun, "A polygon is a flat, two-dimensional (2D) shape with straight sides that is fully closed (all the sides are joined up). The sides must be straight. Polygons may have any number of sides. A polygon. A shape with curved sides is not a polygon."

So, yes, that is indeed a polygon.

Answer:

Audrey's shape is not a regular polygon.

Step-by-step explanation:

We know what a polygon is, but there are two types. Regular and irregular. A regular polygon's sides are all equal. An irregular polygon's sides are not all equal.

In this case, Audrey's shape is an irregular polygon. 3 of the lines are of unequal length to the rest which makes it irregular.

Help please, I need to get 5 percent in khan and I don't understand this problem

Answers

Hello there!

First things first, place the 2 on the y-axis. 2 is your "y" intercept.

Rule of thumb:  if there is a constant(single number) alone and without any variable next to it, it's going to be your y-intercept.

Next we need to count up three units from the y-intercept and over four units.

Overall:

The 2 should be plotted on the y-axis.

The new coordinate should be (5,4)

your dot should be at 5,4

(7th)Math question someone pls explain how to answer it I am stuck pt.7

Answers

Answer:

x < 4

Graph: open dot on 4 and arrow pointing left.

Step-by-step explanation:

x + 5 < 9

Subtract 5 from both sides.

x < 4

You solved the inequality correctly.

To graph it, place an open dot on 4 and an arrow going left.

Answer:

The answer is an open circle to the left

Step-by-step explanation:

Closed circle means atleast and open means more or less than. THe equation is that 4 is more than a number. So that means it will go to the left and the circle would be open because it doesn't say at least, it's just <.

I hope this helps, I'm kind of bad at explaining.

If you have any questions please ask me! :)

HELP ANSWER THIS I WILL GIVE TEN POINTS AND THANKS!

REMEMBER TO EXPLAIN STEP-BY STEP! AND GET THE CORRECT ANSWER!

The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?

Answers

Answer:

(10t + u)(10u + t) = 4,930

100tu + 10t^2 + 10u^2 + tu = 4,930

101tu + 10t^2 + 10u^2 = 4,930

10t^2 + (101u)t + (10u^2 - 4,930) = 0

(101u)^2 - 4(10)(10u^2 - 4,930)

= 10,201u^2 - 400u^2 + 197,200

= 9,801u^2 + 197,200

We see that u = 5 gives 442,225.

√442,225 = 665

(10t + 5)(50 + t) = 4,930

500t + 10t^2 + 250 + 5t = 4,930

10t^2 + 505t - 4,680 = 0

2t^2 + 101t - 936 = 0

t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)

= (-101 + √17,689)/4

= (-101 + 133)/4 = 32/4 = 8

So the numbers are 58 and 85.

58 + 85 = 143

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