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2 years ago

The scale for a ballroom is 1 inch : 7 feet. What is the actual area of the ballroom in square feet?

Mathematics

1 answer:

kotegsom [21]2 years ago

3 0

Answer:

30 square feet

Step-by-step explanation:

to find the area, simply multiply 15 and 14.

now the answer is 210 inches.

Now to convert to scale, divide 7 into 210.

The area of the ballroom is 30 feet.

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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

if each interior angle of a regular polygon measures 144 degrees, how many sides does the polygon have?

Lubov Fominskaja [6]

10 sides 180(10-2) 1800-360=1440/10 = 144

3 0

3 years ago

The population in a city was 40,000.00. The population rose p

Svetach [21]

Answer:P+41,700

Step-by-step explanation:40000-3000=37000.

37000+4700=41,700

5 0

3 years ago

Read 2 more answers

1.5 Determine the degree of the following algebraic expressions:

tatuchka [14]

By identifying the largest exponent in each expression, we see that the answers are:

a) D = 3.

b) D = 5.

c) D = 0.

<h3></h3><h3>How to determine the degree of an expression?</h3>

The degree is just the largest exponent of the variable in an expression.

First, we have:

a) √3xyz - 5

The largest exponent is on the term √3*xyz is 3 (because we add the 3 exponents 1 of x, y, and z) so this expression has a degree of 3.

b) y² - 3y⁵ -y + 2y³ - 4

Here the largest exponent is on the second term, so we can see that the degree is 5.

c) -10³

Here we don't have a variable, so this is a constant, which means that the degree is zero, because we could write:

-10³*x⁰

Where we use the fact that x⁰ = 1

If you want to learn more about degrees:

brainly.com/question/1600696

#SPJ1

6 0

1 year ago

What’s the answer to this

lilavasa [31]

Answer:

Step-by-step explanation:

B because did the same exact test

6 0

2 years ago