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nasty-shy [4]
3 years ago
9

PLEASE HELP Knowing that the apothem, radius and half a side of a regular polygon together form a right triangle as shown below,

for which types of regular polygons would this triangle be
a 30°-60°-90° triangle?
a 45°-45°-90° triangle?
Explain how you determined your answers above.
Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:

text me the answer when you get it 832-757-5456

Step-by-step explanation:

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A college parking lot is 140 ft long and 90 ft wide. The college wants to increase the area of the lot by 29% by adding strips o
Novay_Z [31]
The initial dimenssions of the park lot are:

length: 140 ft
width: 90 ft

initial area: 140 * 90 = 12,600 ft^2

Area increased 29% = 12,600 * 1.29 = 16,254 ft^2

width of the strips: x

New length: 140 + x

New width: 90 + x

New area: (140+x)(90+x) = 16,254

Solution of the equation:

12600 + 230x + x^2 = 16254

=> x^2 + 230x - 3654 = 0

Use the quadratic formula.

x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =

x = 14.92

The other solution is negative so it is discarded.

Answer: 15 ft


 
5 0
3 years ago
3) Consider the sequence -11 ; 2sin3x ; 15; ...
DiKsa [7]

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

In an arithmetic sequence, any given term is the average of the two terms that come before and after. The middle term of this sequence must be ...

  2sin(3x) = (-11 +15)/2

  sin(3x) = 1 . . . . . . . . . . simplify and divide by 2

Then the value of 3x must be 90°, so ...

  x = 90/3 = 30

There is one value of x in the interval [0, 90] that makes this sequence arithmetic: x = 30.

8 0
3 years ago
The question is in the photo​
nirvana33 [79]

Answer:

yes

Step-by-step explanation:

half of x which is 4 = y which is 2

you keep doing that with the rest of the xs and ys

6 0
3 years ago
Which expression is equivalent to the expression shown ? 2 (x + 5) +3 (x2 - 5x +13)
Gnesinka [82]
\text{Use the distributive property:}\\\\a(b+c)=ab+ac

2(x+5)+3(x^2-5x+13)=(2)(x)+(2)(5)+(3)(x^2)-(3)(5x)+(3)(13)\\\\=2x+10+3x^2-15x+39=3x^2-13x+49

3 0
3 years ago
Can someone please explain to me how to tell if a number it's prime or not
slavikrds [6]

Answer:

A prime number is a number that can only be divided by 1 and itself.

3 0
3 years ago
Read 2 more answers
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