What is the formula base x height =area like what is that shape of base x height =area

Answer:

A

Step-by-step explanation:

The density of the pyramid is approximately 0.57 grams per cubic centimeter.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

To find the density of the pyramid, we need to know its volume as well as its mass.

The volume of a pyramid is given by:

V = (1/3) × base area × height

The base of the pyramid is a rectangle with dimensions 5 cm by 7 cm, so its area is:

A = 5 cm × 7 cm

= 35 cm²

Using the formula for the volume of a pyramid, we have:

V = (1/3) × A× h

V = (1/3) × 35 cm² × 9 cm

V = 105 cm³

Now we can calculate the density:

density = mass / volume

Since the mass of the pyramid is given as 60 grams, we have:

density = 60 g / 105 cm³

To get the density in units of grams per cubic centimeter, we need to convert the units of mass and volume to grams and cubic centimeters, respectively:

density = (60 g / 1000) / (105 cm³ / 1000)

density = 0.57 g/cm³

Therefore, the density of the pyramid is approximately 0.57 grams per cubic centimeter.

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Answer:

The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere.

Step-by-step explanation:

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Answer:

16.

solution:

perimeter = 64

4l = 64

l= 64/4

l=16

Answer:

Step-by-step explanation:

since it's a square we know the 4 sides are the same length.

64 / 4  =  16  

so each side is 16.... now use pythagoras to solve for GE since we know the two legs of the triangle  .. both 16

16^2 + 16^2 = GE^2

512 = GE^2

[tex]\sqrt{512}[/tex] = GE

22.627417 = GE

GE = 22.6  ( rounded to nearest 10th )

Answer:

4x^2 - 12x +9

Step-by-step explanation:

The figure is a square.

the area of a square is = side^2

area = (2x-3)^2 = 4x^2-12x +9

thanks to rule of the square of a binomial, we can skip this passage:

(2x-3)(2x-3) = 4x^2-6x-6x+9 =4x^2-12x +9

Answer:

4x²−12+9

Steps:

2x(2x−3)−3(2x−3)

4x²−6−3(2x−3)

4x²−6x−6x+9

4x²−12x+9

Answer:

135

Step-by-step explanation:

So, our first term is 459.

Lets find what our change in terms is. To do this, lets subtract the frist term by the second:

459-450

This will get you 9.

Now that we know our change per term, lets find our 37th term.

All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )

So this is what we can use to solve for this:

459-(9x37)

This equals

135.

Hope this helps!

Step-by-step explanation:

first term = a = 459

common difference = d = 450 - 459 = -9

nth term = an

n = -9

an = a + (n-1)d

= 459 +(37-1)-9

= 459 + (36)-9

= 459 -324

= 135

37 th term = 135

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Answer:

B 1296

Step-by-step explanation:

Area of a rectangle = Length × Width

Area of a triangle = [tex]\frac{1}2[/tex] × Base × Height

3 sides are rectangles with the measurements of (9mm by 21mm)

So 3(9 × 21) = 567mm^2

6 sides are rectangles with the measurements of (9mm by 9mm)

So 6(9 × 9) = 486mm^2

1 side is a rectangle with the measurements of (9mm by 15mm)

So (9 × 15) = 135mm^2

2 sides are triangles with unknown, but equal bases.

To calculate the base, you subtract 9 from 21:   21 - 9 = 12mm

Therefore the base = 12mm

The other measurement can be found by looking to the left of the triangle (9mm from the side)

So   2([tex]\frac{1}2[/tex] × 12 × 9) = 108mm^2

Add the sides up:

567 + 486 + 135 + 108 = 1296 mm^2

Answer:

22 units

Step-by-step explanation:

Answer:

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Step-by-step explanation:

42 ÷ w = 7 for w = 6. First, Shaylee must substitute ( ) for ( ). To simplify, Shaylee must divide ( ) by ( ) .

Answer:

V = 40

Step-by-step explanation:

Volume of a Pyramid:

V = 1/3bh

Given:

b = 10

h = 12

Work:

V = 1/3bh

V = 1/3(10)(12)

V = 40

Answer:

b=0,-3

Step-by-step explanation:

b^2+3b=0

b(b+3)=0

b=0

b+3=0

b=-3

Answer:

b = 0 OR b = -3

Step-by-step explanation:

To start off with, we know that this must be a quadratic equation because there's a "^2".

Firstly, we have to bring everything over to one side of the equation. This means we have to add 3b to both sides, as we want the right-hand side to be 0.

b^2 = -3b

+3b   +3b

b^2 + 3b = 0

Secondly, we have to factorise. We need to see what number goes into both "b^2" AND "3b".

That is "b".

b^2 + 3b = 0

factor out b

b(b + 3) = 0

Thirdly, we have to use the Null Factor Law to find out what b equals. The Null  Factor Law states that if an equation equals 0, then one of the terms must either be 0, or the negative of the other number.

Hence, there are two answers.

b = 0

OR

b = -3

Answer:

f(x) = 1,024(0.50)x

Step-by-step explanation:

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Answer:

I get 24...... ....... .......

Answer:

y is 6 times x for the first set

not proportional for the next

Step-by-step explanation:

Answer: 180 people

I hope i helped you! I wish you luck on the test!

Answer:

i would say C picking a marble out the bag replacing it, and picking another marble

Step-by-step explanation:

Answer:

A≈140.3in²

Step-by-step explanation:

A=3 /4a^2

P=3a

Answer:

There are 50 students in total in the school play, acting and working behind the scene.

Step-by-step explanation:

Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:

100%-30%=70%

Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:

70%    →    35

100%   →     x

x=(100*35)/70

x=50

According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.

Answer: 214 ft^2

Step-by-step explanation:

A=πr^2

3.14(8.25)^2

3.14(68.0625)

213.71625

rounded to the nearest square foot: 214

Answer:

See the solutions below

Step-by-step explanation:

First note that the opposite side of a parallelogram are equal, hence;

For Parallelogram FIRE

fi = re

ef = ir

Given

fi = (3x-5)cm

ir = (2y -7)cm

re = (x+7)cm

ef = (y+3)cm\

a) If fi = re, then;

3x - 5 = x+7

3x - x = 7+5

2x = 12

x = 12/2

x = 6

b) Since FI = 3x - 5

FI = 3(6) - 5

FI = 18 - 5

FI = 13cm

c) Also ef = ir

y+3 = 2y - 7

y - 2y = -7-3

-y = -10

y = 10

d) EF = y+3

EF = 10 +3

EF =13cm

e) Perimeter of the parallelogram = FI + IR + RE + EF

Perimeter of the parallelogram = 13cm + 13 + 13cm + 13cm

Perimeter of the parallelogram = 52cm

Answer:

55cm

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex] {12}^{2} + {x}^{2} = {14}^{2} \\ 144 + {x}^{2} = 196 \\ {x }^{2} = 196 - 144 \\ {x}^{2} = 52 \\ x = 2 \sqrt{13} [/tex]

i think so

hope it helps

have a nice day

Answer:

440,000!!! LOL

Step-by-step explanation:

Answer:

440,000

Step-by-step explanation:

I got 440,000 as an answer because I did

400,000

+40,000

________

440,000

You could work from the ones to the hundred thousandths.

First add the zeros, then work to the thousandths. 0+0=0, 0+0=0,0+0=0,0+0=0,0+4=4, 4+0=4.

Therefore, 400,000+40,000=440,000.

Answer:

100 - 10x = v

Step-by-step explanation:

Plan-

Steps

[tex]100-10x[/tex] = V

(x repersents the hours)

Answer:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). Watch this video to learn more about it and see some examples. Created by Sal Khan.

Step-by-step explanation:

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Answer:

Dan made more money last month

Step-by-step explanation:

15/100  10/100 Make into decimal's and Dan's is still higher

Answer:

220i

Step-by-step explanation:

v=length×width×height