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Alla [95]
3 years ago
6

The perimeter of the square is 200cm . Find its length

Mathematics
2 answers:
Luda [366]3 years ago
7 0
Each side is 50cm so 50cm × 4 sides = 200cm
Zielflug [23.3K]3 years ago
6 0

A square has 4 sides. The total perimeter (length around) is 200.

Divide the total perimeter by the number of sides.

200/4=50

hope this helps :)


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10. (a) Consider the following matrices: A = ( 2 ) B = (3) and C = (-3) w = Find the det(A). [1] (ii) Is the matrix A singular?
Viefleur [7K]

i) We have to find the determinant of A.

We can do this as:

\det(A)=|\begin{bmatrix}{3} & {6} \\ {1} & {-2}\end{bmatrix}|=3*(-2)-6*1=-6-6=-12

ii) We have to find if the matrix A is singular.

Singular matrix have determinant equal to 0.

This is not the case for A, as its determinant is -12. Then, A is not a singular matrix.

iii) We have to find the values of x and y so that AB = C.

We have to write the matrix multiplication and we will obtain a system of linear equations:

We can now solve the system of equations by adding 3 times the second equation to the first equation:

\begin{gathered} 3(x-2y)+(3x+6y)=3(-3)+(-3) \\ 3x-6y+3x+6y=-9-3 \\ 6x+0y=-12 \\ x=\frac{-12}{6} \\ x=-2 \end{gathered}

We can now use the second equation to find the value of y:

\begin{gathered} x-2y=-3 \\ x+3=2y \\ y=\frac{x+3}{2} \\ y=\frac{-2+3}{2} \\ y=\frac{1}{2} \end{gathered}

The values are x = -2 and y = 1/2.

iv) When we want to multiply two matrices, the required condition is that the number of columns of the matrix on the left is equal the number of rows of the matrix on the right.

In the case of A(2x2) and B(2x1), when we do A*B this condition is satisfied.

But when we try to multiply BA, the number of columns of B is not equal to the number of rows of A, so the matrix mulitplication is not possible.

Answer:

i) det(A) = -12

ii) A is not singular because singular matrices have determinant equal to zero.

iii) x = -2 and y = 1/2.

iv) Is not possible because the number of columns of the first matrix has to be equal to the number of rows of the second matrix.

6 0
1 year ago
write an equation to represent the relationship, and find the amount of peanut butter used to make 25 cracker packages. the tabl
Nadusha1986 [10]

We are given 4 points.

(\frac{1}{2},2)

(\frac{5}{8},\frac{5}{2})

(\frac{3}{4},3)

(\frac{7}{8},\frac{7}{2})

Using this, we can make an equation.

y=4x

I got m=4 by using the slope formula.

m=\frac{2.5-2}{0.625-0.5}

m=\frac{0.5}{0.125}

m=4

So the equation we have is y=4x

Now, we can solve for how much peanut butter is used to make 25 packages by plugging in 25 for y, which is the number of cracker packages.

25=4x

x=\frac{25}{4}

We need to use \frac{25}{4} teaspoons of peanut butter to make 25 packages of crackers.

Hope this helps.

頑張って!

4 0
3 years ago
Willis bought a gallon of paint.He painted a wall that is 9 feet high and 10 feet wide.Then he used he rest of the paint to pain
Otrada [13]
First you need to find the surface area of the wall that was painted, and then add the additional area in the hallway that was painted. 

The wall that was painted was 9 feet by 10 feet, or 90 square feet. 90 square feet plus the additional 46 square feet in the hallway is 136 square feet, which is the total area that the paint covered. 

Therefore the solution is 136 square feet. 
7 0
3 years ago
Read 2 more answers
Answer please show steps please
erik [133]

Answer:

25 girls

Step-by-step explanation:

Let

x denote number of boys

and

y denote number of girls

According to the statement that total 45 people came,

x+y = 45      => Eqn 1

And total paid amount was 175

So,

5x + 3y = 175    => Eqn 2

For solving, We will use the substitution method

So, from eqn 1

x = 45-y

Putting value of x in eqn 2

5(45-y) +3y = 175

225 - 5y + 3y = 175

-2y+225 = 175

-2y = 175-225

-2y = -50

2y = 50

y = 25

Putting y =25 in eqn 1

x+25 = 45

x = 45 - 25

x = 20

As y= 25

So, 25 girls came to the dance ..

6 0
2 years ago
Estelle is raking leaves in the yard. After 1 hour, she has 2 bags of leaves. After 3 hours, she has 6 bags of leaves. Which gra
kenny6666 [7]
Y= 2x
Every hour 2 bags
Afer 1 hour. 2 bags
After 2 hours 4 bags
After 3 hours. 6 bagds
4 0
3 years ago
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