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tino4ka555 [31]
3 years ago
10

What is the surface area of this square pyramid? HELP!

Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer:

A≈149.84

Step-by-step explanation:

A=a2+2aa2

4+h2=62+2·6·62

4+92≈149.842

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#6 - Calculate the monthly payment necessary to retire the following loan
klemol [59]

9514 1404 393

Answer:

  A)  $1350

  B)  $5850

  C)  $162.50

Step-by-step explanation:

A) The interest is given by the formula ...

  I = Prt

where P is the principal amount, r is the interest rate, and t is the number of years.

  I = $4500×0.10×3 = $1350

The interest owed is $1350.

__

B) At maturity, the principal and interest are due. That amount is ...

  $4500 +1350 = $5850

The maturity value is $5850.

__

C) If the maturity value is paid in 36 equal monthly installments, each is ...

  $5850/36 = $162.50

The monthly payment is $162.50.

4 0
3 years ago
Help What is the graph???
marin [14]

We are given

y=\frac{x^2-4x+3}{x^2-9}

Vertical asymptotes:

Firstly, we will factor numerator and denominator

we get

y=\frac{(x-1)(x-3)}{(x-3)(x+3)}

We can see that (x-3) is common in both numerator and denominator

so, we will only set x+3 to 0

and then we can find vertical asymptote

x+3=0

x=-3

Hole:

We can see that (x-3) is common in both numerator and denominator

so, hole will be at x-3=0

x=3

Horizontal asymptote:

We can see that degree of numerator is 2

degree of denominator is also 2

for finding horizontal asymptote, we find ratio of leading coefficients of numerator and denominator

and we get

y=1

now, we can draw graph

Graph:


6 0
3 years ago
Short Response
garik1379 [7]

Answer:

(a)2(89x+84)

(b)2(89x+84-x^2\pi)

Step-by-step explanation:

The dimensions of the larger rectangular field are:

  • Length=5x + 12; Width = 9x + 14.

The dimensions of the smaller rectangular soccer field are:

  • Length=5x; Width = 9x.

(a)Area of the part of the field that is outside the soccer field

=Area of the larger rectangular field - Area of the Soccer Field

=(5x+12)(9x+14)-5x(9x)

=(5x)(9x)+70x+108x+168-5x(9x)

=178x+168

=2(89x+84)

(b)Radius of the Semicircular Fountain =2x

From Part (a),

Area of the larger rectangular field - Area of the Soccer Field=178x+168

Area of the Semicircular Fountain =\dfrac{\pi r^2}{2} =\dfrac{\pi (2x)^2}{2} =\dfrac{4x^2\pi}{2} =2x^2\pi

Area of the Field that does not include the soccer  field or the fountain.

=Area of the larger rectangular field - Area of the Soccer Field-Area of the Semicircular Fountain

=178x+168-2x^2\pi\\=2(89x+84-x^2\pi)

8 0
3 years ago
Y = 5x+p point (-2, 1) p=?
ivann1987 [24]
The value of p = 11

y = 5x + p
1 = 5(-2) + p
1 = -10 + p
11 = p
6 0
3 years ago
Gasoline costs 2.99 at the new gas station. if tom puts 8.5 gallons in his car what is the cost
SIZIF [17.4K]
$25.41. You would multiply the 2.99 by 8.5.
5 0
3 years ago
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