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Mumz [18]
3 years ago
6

Area of a trapezoid: 9 m by 15m by 20m

Mathematics
2 answers:
kvv77 [185]3 years ago
5 0
A=1/2 9+20×15
1/2. 29×15

217.5
exis [7]3 years ago
3 0
Equation: 
A = \frac{a + b}{2}h

a (base) = 9
b (base) = 20
h (height) = 15

A =  \frac{9 + 20}{2}15

A =  \frac{29}{2}15

A = 14.5 * 15

A = 217.5

The area of the trapezoid is 217.5 m.
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If the subspace of all solutions of Ax 0 has a basis consisting of vectors and if A is a ​matrix, what is the rank of​ A
Nuetrik [128]

Question: If the subspace of all solutions of

Ax = 0

has a basis consisting of vectors and if A is a ​matrix, what is the rank of​ A.

Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.

Assume: The number of vectors is 3, and the dimension is 5 × 8.

Answer:

The rank of the matrix A is 5.

Step-by-step explanation:

In the standard basis of the linear transformation:

f : R^8 → R^5, x↦Ax

the matrix A is a representation.

and the dimension of kernel of A, written as dim(kerA) is 3.

By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.

That is:

rank(A) = dim(R^8) - dim(kerA)

= 8 - 3

= 5

4 0
3 years ago
Which functions could represent a reflection over the y axis of the given function
fredd [130]

Answer:

g(x) = 1/2*(4)^(–x)          and

g(x) =1/2*(1/4)^(x)

Please, see attached picture.

Step-by-step explanation:

Your full question is attached in the picture below

To easily solve this problem, we can graph each equation and see, which one represents a reflection of the function over the y axis.

See, second image.

The answers are

g(x) = 1/2*(4)^(–x)          and

g(x) =1/2*(1/4)^(x)

4 0
2 years ago
What is the slope of the line described by the equation –4x + 6y = 12?
tino4ka555 [31]
The slope of the equation is 4
6 0
3 years ago
Please help me my aleks topics are due tomorrow and i will give you brainliest :(
aksik [14]

Answer:

a is 3x

b is 6(8y-5) and 6x8y-6x5

Step-by-step explanation:

first a is 3x

b is 6(8y-5) 6x8y-6x5

5 0
3 years ago
Help me if u can and thank you :)
DanielleElmas [232]

Answer:

320km = 12L

296 km = xL

x = (296 × 12)/320

x = 11.1 liters

3 0
3 years ago
Read 2 more answers
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