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In-s [12.5K]
2 years ago
10

Calculate the area of each circle

Mathematics
1 answer:
Triss [41]2 years ago
8 0

Answer:

1.54 in²

Step-by-step explanation:

Given that,

→ Radius (r) = 0.7 in

Formula we use,

→ πr²

The area of the circle will be,

→ πr²

→ (22/7) × 0.7 × 0.7

→ (22/7) × 0.49

→ [ 1.54 in² ]

Hence, area of circle is 1.54 in².

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What is the total surface area of the rectangular<br> prism represented by this net?
dedylja [7]

Answer:

Total surface area of the rectangular  prism is 150.88 cm^2

Step-by-step explanation:

area of base = area of top

area of base = 5 x 3.1 = 15.5 cm^2

Area of small lateral surface having dimensions 3.1 cm x 7.4 cm is

=3.1 x 7.4 = 22.94 cm^2

Area of big lateral surface having dimensions 5 cm x 7.4 cm is

=5 x 7.4 = 37 cm^2

Total area of prism = 2 x 15.5 + 2 x 22.94 + 2 x 37 = 150.88 cm^2

total surface area of the rectangular  prism is 150.88 cm^2

7 0
3 years ago
Read 2 more answers
What is the factor of y^3-9y^2+y-9=0​
Mariana [72]

Answer:

Step-by-step explanation:Factor the left side of the equation.

Tap for more steps...

(

y

−

1

)

(

y

2

+

9

)

=

0

Set  

y

−

1

equal to  

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and solve for  

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y

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Set  

y

2

+

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equal to  

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and solve for  

y

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y

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i

,

−

3

i

The solution is the result of  

y

−

1

=

0

and  

y

2

+

9

=

0

.

y

=

1

,

3

i

,

−

3

i

8 0
3 years ago
Is matrix multiplication comutative?
konstantin123 [22]

Answer:

Matrix multiplication is not conmutative

Step-by-step explanation:

The matrix multiplication can be performed if the number of columns of the first matrix is equal to the number of rows of the second matrix

Let A with dimension mxn and B with dimension nxp represent two matrix

The multiplication of A by B is a matrix C with dimension mxp, but the multiplication of B by A is can't be calculated because the number of columns of B is not the number of rows of A. Therefore, you can notice that is not conmutative in general.

But even if the multiplication of AB and BA is defined (For example if A and B are squared matrix of 2x2) the multiplication is not necessary conmutative.

The matrix multiplication result is a matrix which entries are given by dot product of the corresponding row of the first matrix and the corresponding column of the second matrix:

A=\left[\begin{array}{ccc}a11&a12\\a21&a22\end{array}\right]\\B= \left[\begin{array}{ccc}b11&b12\\b21&b22\end{array}\right]\\AB = \left[\begin{array}{ccc}a11b11+a12b21&a11b12+a12b22\\a21b11+a22b21&a21b12+a22b22\end{array}\right]\\\\BA=\left[\begin{array}{ccc}b11a11+b12a21&b11a12+b12a22\\b21a11+b22ba21&b21a12+b22a22\end{array}\right]

Notice that in general, the result is not the same. It could be the same for very specific values of the elements of each matrix.

6 0
3 years ago
Sarah left on the interstate at a speed of 65 mph. Her sister, Kendra, followed her on the same route, leaving 2
Olenka [21]

Answer:

26 Hours

Step-by-step explanation:

65 x 28 = 1820

70 x 26 = 1820

This is when they will be right next to each other

8 0
3 years ago
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A state's license plates consist of four letters followed by three numerals, and 242 letter arrangements are not allowed. How ma
PolarNik [594]

Answer: There are 456975758 plates that the state can issue.

Step-by-step explanation:

Since we have given that

Number of letters = 4

Number of numerals = 3

And 242 letter arrangements are not allowed.

As we have 26 letters i.e A-Z

and numerals i.e, 0-9

So, the number of plates would be

(26^4)\times 10^3=456976000

So, the restricted letters deducting would be

456976000-242=456975758

Hence, there are 456975758 plates that the state can issue.

6 0
3 years ago
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