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love history [14]
3 years ago
5

Product of (n+7) exponent 2

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0

Answer:

n^2 +14n +49

Step-by-step explanation:

(n+7)^2

(n+7) (n+7)

FOIL

first = n*n

outer = n*7

inner = 7*n

last 7*7 =49

Add them together

n^2 +7n+7n+49

Combine like terms

n^2 +14n +49

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If there is a triangle and the sides are 8&12 and 14 what is the missing angle
rewona [7]

Answer:

8/12 = 14/x

Cross multiplication so

8x=14×12

8x=168

X=168/8

X=21

8 0
3 years ago
3pt=_____ centimeters                          40oz=___________lb
deff fn [24]
Not sure what pt means
the other unts are all liquid measures and cm is a measure in legnth 


8oz=1 pound so 
40/8=pound=5
40oz=5lb

1000ml=L
1500/1000=1.5L
1500ml=1.5L

1L=1.056qt
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12L=12.68qt

5 0
3 years ago
State the property or properties of logarithms used to rewrite the expression.
Korvikt [17]

Answer:

The answer is option A.

<h3>Power Property and Product </h3><h3>Property</h3>

Hope this helps you

6 0
3 years ago
Use the diagram of the right triangle above and round your answer to the nearest hundredth.
Yakvenalex [24]

Answer:

value of a = 6.93 m

hence , (b.)

Step-by-step explanation:

the given triangle is a right angled triangle, so

by using trigonometry.

=》

\tan(a)   = \tan(30)  =  \frac{1}{ \sqrt{3} }

and we know,

=》

\tan(a)  =  \frac{a}{b}

so, by above values of tan ( a ) we get,

=》

\frac{a}{b}  =  \frac{1}{ \sqrt{3} }

=》

\frac{a}{12}  =  \frac{1}{ \sqrt{3} }

=》

a = \frac{12}{ \sqrt{3} }

=》

a = 4 \sqrt{3}

=

=》

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hence, a = 6.93 m

4 0
3 years ago
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Three h
neonofarm [45]

Answer:

  • 50 ft by 75 ft
  • 3750 square feet

Step-by-step explanation:

Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...

  y = (300 -2x)/3

And the enclosed area is ...

  A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)

This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.

The maximum area is enclosed when the dimensions are ...

  50 ft by 75 ft

That maximum area is 3750 square feet.

_____

<em>Comment on the solution</em>

The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).

6 0
3 years ago
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