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Karo-lina-s [1.5K]
2 years ago
8

A researcher develops a cage for a living cell in the shape of a square-based pyramid. A scale model of the cage is shown. What

is the volume of the model?
A square pyramid-shaped cage with base edge labeled “20 micrometers” and height labeled “20 micrometers”.
Mathematics
1 answer:
____ [38]2 years ago
5 0

The total volume of this squared-base pyramid based on the information provided is 2666 micrometers.

<h3>How to calculate the volume of the pyramid?</h3>

The general formula to calculate the volume of a squared-based pyramid is:

  • base = area x height/ 3

<h3>What is the volume of the model?</h3>

Base area: 20 x 20 = 400

400 micrometers x 20/ 3 = 2666 micrometers.

Learn more about volume in: brainly.com/question/14996332

#SPJ1

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Which statement about the data in the table shown is true?
nalin [4]

Answer:

i would say B.. sorry of its not the right one..

Step-by-step explanation:

5 0
3 years ago
A 21 foot beam is to be cut into three pieces so that the second and the third piece are each 3 times the length of the first pi
mylen [45]

x+3x+3x=21

7x=21

x=3

3, 9, 9=21

the answers are 3, 9, and 9

6 0
4 years ago
If AJKL = ARST, which congruences are true by CPCTC? Check all that apply.
evablogger [386]

Based on the CPCTC theorem, the congruences that are true about the given triangles are:

B. ∠K ≅ ∠S

C. KL ≅ ST

D. JK ≅ RS

<h3>What is the CPCTC Theorem?</h3>

According to the CPCTC theorem states that if two triangles are congruent to each other, then, all their corresponding parts will be congruent to each other.

Given that triangles JKL and RST are congruent to each other, therefore:

∠J ≅ ∠R

∠K ≅ ∠S

∠L ≅ ∠T

JK ≅ RS

KL ≅ ST

JL ≅ RT

Therefore, the congruences that would be true by CPCTC are:

B. ∠K ≅ ∠S

C. KL ≅ ST

D. JK ≅ RS

Learn more about the CPCTC theorem on:

brainly.com/question/14706064

#SPJ1

5 0
2 years ago
Is 7 a soluion of 5x-3=12?
Ket [755]
Hi there,

No, it isn't

5x - 3 = 12
5x = 12 + 3
5x =15

Hence, X = 3

3 is the solution

Hope this helps :)
5 0
3 years ago
The graph of a quadratic function has a vertex at the point (8,6). It passes through the point (-4,-5). Which of the following e
Mandarinka [93]

Answer:

y= -11/144(x-8)^2+6

Step-by-step explanation:

This equation can be represented in vertex form, which is:  

y=a(x-h)^2+k

If we plug in 8 as h and 6 as k we get the following equation:

y=a(x-8)^2+6

Now we have to plug in x and y. We can use the other point (-4,-5) and plug it into the equation and get:

-5=a(-4-8)^2+6

Once we solve this we get a= -11/144

Now we have to plug in -11/144 into the original equation to get

y = -11/144 (x-8)^2 + 6

6 0
3 years ago
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