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2 years ago

Which expression represents the surface area of the

Mathematics

2 answers:

goldfiish [28.3K]2 years ago

8 0

<h3>Solution:</h3>

Surface area is the sum of the area of faces.

This means that:

Surface area of prism = 4(area of triangle) + area of square

Finding the surface area of the prism.

=> Surface area of square based prism = 4(1/2 x 2 x 3) + 2 x 2
=> Surface area of square based prism = 4(3) + 4
=> Surface area of square based prism = 12 + 4 = 16 units²

Verifying Option A

4 + 6 + 6 + 6 + 6
=> 4 + 24
=> 28 units² ≠ 16 units²

Thus, Option A is incorrect.

Verifying Option B

3 x 2
=> 6 units² ≠ 16 units²

Thus, Option B is incorrect.

Verifying Option C

4 + 3 + 3 + 3 + 3
=> 4 + 12
=> 16 units² = 16 units²

Thus, Option C is correct.

Verifying Option D

4 x 3
=> 12 units² ≠ 16 units²

Thus, Option D is incorrect.

In conclusion...

Option C is correct.

padilas [110]2 years ago

5 0

Answer:

the answer is a I think your welcome

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A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation

Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an $m\times n$ matrix. Let $T :U\to V$ be the corresponding linear transformationover the field F and $\theta$ be identity vector in V. Now if $x\in Ker( T)\implies T(x)=\theta$ .

(1) The kernel of a linear transformation is a vector space : True.

Let $x,y\in Ker( T)$ , then,

$T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)$

hence the kernel is closed under addition.

Let $\lambda\in F, x\in Ker( T)$ , then

$T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta$

$\lambda x\in Ker(T)$ and thus Ket(T) is closed under multiplication

Finally, fore all vectors $u\in U$ ,

$T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta$

$\implies \theta\in Ker(T)$

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is $\mathbb R^m$ : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in $\mathbb R^m$

: False

The null space that is dimension of solution space of an m x n matrix is always in $\mathbb R^n$ .

(4) The column space of A is the range of the mapping $x\to Ax$

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

5 0

3 years ago

The sum of two numbers is 43, and their product is 450. What is their difference?

kow [346]

Answer:

List the factors of 450

1,450

3,150

5,90

6,75

9,50

10,45

15,30

18,25

The factor with the sum of 43 is 18+25

25-18=7 so the difference is 7

hope this helps

Step-by-step explanation:

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3 years ago

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Allisa [31]

Answer:

Can you re-type the question. This doesn't make any sense.

Step-by-step explanation:

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3 years ago

One gym charges a $50 sign up fee and $65 per month. Another gun charges a $90 sign up fee and $45 per month. Foe what number of

alina1380 [7]

2 months.
the equations are
65m+50 and 45m+90
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65m+50=45m+90
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3 years ago

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aksik [14]

Answer:

Domain: -2,0,1,3,4

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Step-by-step explanation:

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3 years ago