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grandymaker [24]
3 years ago
12

The perimeter of the pentagon is 34 inches. Find the length of the side that is unknown. Explain your thinking.

Mathematics
1 answer:
Paladinen [302]3 years ago
5 0

Answer: side = 6.8 inches

Step-by-step explanation:

Side of pentagon = perimeter/5

= 34/5 = 6.8

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If A = (1,2,3,4,5), then the number of proper subsets of A is- ​
Mandarinka [93]

Answer: One of them is the set {1,2,3,4,5,6}itself; one is the empty set, containing no elements. “Proper subset of a set ” usually denotes a subset in which at least one element of the original set is missing; so one of the subsets - the original set iitself - is not a proper subset. Therefore the answer is 63.

Step-by-step explanation:

8 0
3 years ago
WILL GIVE BRAINLIST. PLEASE HELP.​
tankabanditka [31]

Answer:

0

Step-by-step explanation:

Please refer to the image attached with this answer. Assuming our triangle to be ΔABC and Line AD meeting BC at D.

As we are given that side b = side c

The angle subtended by them ∠B and ∠C must be equal . Let us assume them to be x each . hence

x + x + 52° +31° = 180°

2x + 73° = 180°

2x = 180°- 73°

2x = 107 °

x = 53.5°

Hence in ΔACD

x+ 31°+∠2= 180°

53.5°+31°+ ∠2 = 180°

∠2=180°-84.5°

∠2=95.5°

Also

∠1 + ∠2 = 180°

∠1 + 95.5° = 180°

∠1 = 180°-95.5°

∠1 =84.5°

Now applying Sine rule in ΔABD

\frac{\sin 52}{12}=\frac{\sin 84.5}{c}

\frac{0.7886}{12}=\frac{0.9953}{c}

c=\frac{0.9953 \times 12}{0.7886}

c=15.14

Hence we have c as 15.14

as we are given that side c = side b , b=15.14

The properties of any triangle says that the sum of two sides of any triangle is always greater than the third side. Hence

a<b+c

12+2x-6<15.14+15.14

6+2x<30.28

2x<30.28-6

2x<24.28

x<12.14

also side a must be greater than 0

12+2x-6>0

6+2x>0

2x>-6

x>-3

Hence the range of x will be

-3 <x < 12.14

3 0
3 years ago
Hep meh plz!!!!!!!!!!!!! 25 points
Makovka662 [10]
D. X=10 all you have to do is pick an answer and plug it in
8 0
3 years ago
What is 0.12 with12 repeating
Ilya [14]

Answer:

4/33

Step-by-step explanation:

We seek to find the repeating decimal 0.121212... in the form of a fraction.

First, set x equal to this decimal:

x = 0.121212...

Multiply both sides by 100:

100x = 12.121212....

Now, let's subtract the original equation from this new one:

    100x = 12.121212....

-    x = 0.121212....

We realize that since the repeating decimal part goes on forever, we can simply cancel it out when we subtract. So we're left with:

100x - x = 12 - 0

99x = 12

Divide both sides by 99:

x = 12/99 = 4/33

The answer is 4/33.

<em>~ an aesthetics lover</em>

7 0
3 years ago
the dimensions of a rectangle can be expressed as x-3 and x+8. If the area of the rectangle is 42 square feet. Find the dimensio
nasty-shy [4]
We know that
the area of a rectangle=length*width
let
length=x-3
width=x+8 
area=42 ft²
so
42=(x-3)*(x+8)----------> x²+8x-3x-24=42--------> x²+5x-66=0

using  a graph tool-------> to resolve the second order equation
see the attached figure 
the solution is 
x=6
hence

length=x-3------> 6-3-----> 3 ft
width=x+8 ------> 6+8----> 14 ft

the answer is
<span>the dimensions of the rectangle are 3 ft x 14 ft</span>

3 0
3 years ago
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