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MAXImum [283]
2 years ago
14

What shape doesn’t have a rectangular face

Mathematics
1 answer:
GrogVix [38]2 years ago
4 0

Answer:

Step-by-step explanation:

a traingle because it doesnt use any rectangular faces it only uses traingular forms or even a speer a speer has no rectangular sides

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The sum of three numbers is 26. Twice the first minus the second is the third less 2. The third is the second minus 3 times the
Agata [3.3K]

Let a, b, c represent the three numbers. The problem statement gives rise to three equations:

  • a +b +c = 26
  • 2a -b = c -2
  • -3a +b = c

Adding the first two equations gives

... (a +b +c) +(2a -b) = (26) +(c -2)

... 3a +c = 24 +c . . . . . simplify

... 3a = 24 . . . . . . . . . . subtract c

... a = 8 . . . . . . . . . . . . divide by 3

Adding the second and third equations gives ...

... (2a -b) +(-3a +b) = (c -2) +(c)

... -a = 2c -2 . . . . simplify

... -6 = 2c . . . . . . add 2, substitute for a

... -3 = c . . . . . . . . divide by 2

Using the third equation we can find b.

... -3·8 +b = -3 . . . . substitute for a and c

... b = 21 . . . . . . . . .add 24

The numbers are 8, 21, -3.

_____

The method above is sort of "ad hoc", taking advantage of the numbers in this particular set of equations. You can use more formal methods of Gaussian elimination or Cramer's Rule to solve these by just following a procedure. Or, your graphing calculator can do it for you.

6 0
3 years ago
You are planning to invest $5000 in an account earning 9% per year for retirement. a. If you put the $5000 in an account at age
ICE Princess25 [194]

Answer:

A).Amount = $218250

B). Amount = $88700

Step-by-step explanation:

A) .$5000 in an account at age 23, and withdraw it 42 years

Number of years t= 42 years

Principal P = $5000

Rate r= 9%

Number of times compounded n= 42

A= p(1+r/n)^(nt)

A= 5000(1+0.09/42)^(42*42)

A= 5000(1+0.002143)^(1764)

A= 5000(1.002143)^1764

A= 5000(43.65)

A= 218250

Amount = $218250

B).waits 10 years before making the deposit, so that it stays in the account for only 32 years

Number of years t= 32 years

Principal P = $5000

Rate r= 9%

Number of times compounded n= 32

A= p(1+r/n)^(nt)

A= 5000(1+0.09/32)^(32*32)

A= A= 5000(1+0.0028125)^(1024)

A= 5000(1.0028125)^1024

A= 5000(17.74)

A= 88700

Amount = $88700

5 0
3 years ago
In simplest racial form what are the solutions to the quadratic equation 0= -3x-4x+5
givi [52]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se
son4ous [18]

Answer:

The question is incomplete, the complete question is  "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.  log_{4}7.

log_{4}7=1.404\\

Step-by-step explanation:

From the general properties or laws of logarithm, we have the

log_{a}b=\frac{logb}{loga} \\

where both log are now express in the natural logarithm base.

i.e log_{a}b=\frac{lnb}{lna}\\

hence we can express our log_{4}7=\frac{ln7}{ln4} \\.

the value of ln7 is 1.9459 and ln4 is 1.3863

Hence  log_{4}7=\frac{ln7}{ln4}=\frac{1.9459}{1.3863}\\.

log_{4}7=1.404\\

6 0
3 years ago
Write this in standard form please
Tpy6a [65]
The standard form would be x+3y=-27
4 0
2 years ago
Read 2 more answers
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