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iVinArrow [24]
3 years ago
10

A pyramid has a square bade with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volum

e of the pyramid
Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

V = (2/9)s³

Step-by-step explanation:

The general formula for the volume of a pyramid is:

V = (1/3)(base area)(height).

Here,  the length of a side of the square base is s, and so the area is A = s².  For the height we use (2/3)s.  Then  the volume of the pyramid is:

V = (1/3)(s²)(2/3)s, or V = (2/9)s³

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Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50
VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

  • <em>Elimination Method</em>
  • <em>Substitution Method</em>
  • <em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Let:</em>

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

\texttt{ }

<em>Jaces songs were played on 6 more commercials than movies.</em>

\boxed{C = 6 + M} → <em>Equation 1</em>

\texttt{ }

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

\boxed{50C + 140M = 680} → <em>Equation 2</em>

\texttt{ }

<em>Equation 1  ↔ Equation 2 :</em>

50C + 140M = 680

50 ( 6 + M ) + 140M = 680

300 + 50M + 140M = 680

190M = 680 - 300

190M = 380

M = 380 \div 190

M = 2

\texttt{ }

C = 6 + M

C = 6 + 2

C = 8

\texttt{ }

<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

\texttt{ }

<h3>Learn more</h3>
  • Perimeter of Rectangle : brainly.com/question/12826246
  • Elimination Method : brainly.com/question/11233927
  • Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

5 0
3 years ago
A submarine patrolling the Indian Ocean was situated 800 feet below sea level. If it ascends 275 feet, what is its new position
Delicious77 [7]

Answer:

-525 feet

Step-by-step explanation:

If a submarine was below sea level, that would mean that it would be at an elevation of negative feet down, so if it's 800 feet below sea level, it's elevation would be -800.

to ascend means to rise, so the submarine would be moving +275 feet (going higher, closer to sea level)

so you can make out this equation: -800 + 275

this would equal: -525

6 0
3 years ago
What are the unit rates for  4/8 , 5/25, 36/6, 14/21, 18/30, 28/16, 56/35, 45/108, 12/42, 39/26
Artyom0805 [142]
How you find those is you just divide the rate and what ever answer you get you add a one on the bottom

Example: 1. 4/8
2.4÷8= 2
3. 2/1
5 0
3 years ago
Hi can you guys help me. The topic is similiar shapes in this case triangles do you guys know how to find a length. I got some p
Airida [17]

PR=18mm
AB=7mm

All lengths of triangle PRQ are twice the lengths of ACB





4 0
3 years ago
What’s the inverse of 4x + 12
stiks02 [169]

Answer:

1/4x -3

Step-by-step explanation:

To find the inverse of a function, exchange x and y and then solve for y

y =4x+12

Exchange x and y

x = 4y+12

Solve for y

Subtract 12 from each side

x-12 = 4y+12-12

x-12 = 4y

Divide by 4

(x-12)/4 = 4y/4

The inverse is

1/4x -3

8 0
3 years ago
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