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VikaD [51]
3 years ago
7

How long is each side of a square with a perimeter of 12.32 centimeters

Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Step-by-step explanation:

Let each side of square be x

So, x+x+x+x = 12.32

4x = 12.32

x = 12.32/4

x = 3.02 cm

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Given h(x) = x^2-4/2, find h(-8)
vlada-n [284]

Answer:

62

Step-by-step explanation:

(-8)^2-2

64-2 = 62

7 0
3 years ago
Type the correct answer in each box. If necessary, round your answers to the nearest hundredth.
disa [49]

Answer:

Perimeter = 32.44 units

Area = 30 square units

Step-by-step explanation:

Given

Vertices

A(2,8), B(16,2) and C(6,2)

WE have to determine the lengths of all sides before finding the perimeter and area.

The formula of modulus is:

d = \sqrt{(x_{2}- x_{1})^{2} +(y_{2}-y_{1})^{2}}\\AB=\sqrt{(16-2)^{2} +(2-8)^{2}}\\=\sqrt{(14)^{2} +(-6)^{2}}\\=\sqrt{196+36}\\ =\sqrt{232}\\=15.23\\\\BC=\sqrt{(6-16)^{2} +(2-2)^{2}}\\=\sqrt{(-10)^{2} +(0)^{2}}\\=\sqrt{100+0}\\ =\sqrt{100}\\=10\\\\AC=\sqrt{(6-2)^{2} +(2-8)^{2}}\\=\sqrt{(4)^{2} +(-6)^{2}}\\=\sqrt{16+36}\\ =\sqrt{52}\\=7.21\\\\

So the perimeter is:

Perimeter=AB+BC+AC\\=15.23+10+7.21\\=32.44\ units

Using hero's formula,

s=\frac{perimeter}{2}\\s=\frac{32.44}{2}\\ s=16.22\\Area=\sqrt{s(s-a)(s-b)(s-c)}\\=\sqrt{16.22(16.22-15.23)(16.22-10)(16.22-7.21)}\\=\sqrt{(16.22)(0.99)(6.22)(9.01)}\\=\sqrt{899.91}\\=29.99\ square\ units

Rounding off will give us 30 square units ..

4 0
3 years ago
Suppose a bunny's second hop is 10% higher than her first hop. classify the statement below as true or false, correct it.
denis-greek [22]
The answer is a because the original is 100% of their jump. Then you would add the extra 10% so it would equal 110%

Please thank me
7 0
3 years ago
In a soccer game the winner gains 3 points, while the loser gains 0 points. If the game is a draw, then the two teams gain 1 poi
Mariana [72]

Answer:

10 losses

Step-by-step explanation:

Here, we want to get the greatest possible number of games the team lost

Let the number of games won be x

Number drawn be y

Number lost be z

Mathematically;

x + y + z = 38

Let’s now work with the points

3(x) + 1(y) + z(0) = 80

3x + y = 80

So we have two equations here;

x + y + z = 80

3x + y = 80

The greatest possible number of games lost will minimize both the number of games won and the number of games drawn

We can have the following possible combinations of draws and wins;

26-2

25-5

24-8

23-11

22-14

21-17

21-17 is the highest possible to give a loss of zero

Subtracting each sum from 38, we have the following loses:

10, 8, 6, 4, 2 and 0

This shows the greatest possible number of games lost is 10

5 0
3 years ago
Simplify this expression. Explain step-by-step the process. <br><br> -12÷3•(-8+(-4)²–6)+2
QveST [7]
Well so you have to go with pemdas. p parenthesis, e exponets,m multipication, d division, a add, s subtract. let start with the parenthesis which is 8 plus negative four to the secondpower minus 6. so negative 4 to the second power is equal to positive sixteen because negative time negative is equal to positive. so 8 plus sixteen is 24-6 is 18. negative 12 divided by 3 is negative 4.so negative 4 time 18 is negative 72 plus 2 is negative 70.the answer is negative 70
6 0
3 years ago
Read 2 more answers
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