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2 years ago

If G is a 3 x 4 matrix and His a 4x 3 matrix, what is the dimension of GH?

Mathematics

1 answer:

Neko [114]2 years ago

6 0

Answer:

3x3

Step-by-step explanation:

G is a 3 x 4 matrix and His a 4x 3 matrix

In multiplication of matrix a particular formula is used

If G = MN and H = NM then GH = MM

So G= 3x4 and H = 4x3

Then GH = 3x3

The above rule is a rule that binds matrix multiplication and allows for an easier calculations and also helps check the possibility of the multiplication.

As for the above, the multiplication is possible an the result of the multiplication will give us a 3x3 matrix

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Dan has five times as many $1 bills as $5 bills. he has a total of 48 bills. how many of each does he have?

Sholpan [36]

Let the number of $1 bill be x and $5 bill be y
x=5y
5y+y=48
6y=48
x=40
y=8

number of $1 bill= 40
number of $5 bill = 8

6 0

2 years ago

Triangles O N M and S R Q are shown. Angles O N M and S R Q are congruent. The length of side N M is 10 and the length of side S

valina [46]

Answer:

Option C.

Step-by-step explanation:

In △ONM and △SRQ,

$\angle ONM\cong \angle SRQ$

$NM=10$

$SR=20$

$NO=8$

$QR=x$

We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.

According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.

It is given that $\angle ONM\cong \angle SRQ$ . So, both triangles are similar by SAS if

$\dfrac{NO}{NM}=\dfrac{SR}{QR}$

Substitute the given values.

$\dfrac{8}{10}=\dfrac{20}{x}$

$8\times x=20\times 10$

$8x=200$

Divide both sides by 8.

$x=\dfrac{200}{8}$

$x=25$

Therefore, the correct option is C.

7 0

3 years ago

Read 2 more answers

find the volume of the following comes with the given dimensions. round your answer to the nearest hundredth. diameter=4ft heigh

Masja [62]

Answer:

Step-by-step explanation:

5 0

2 years ago

Sherry is a waitress at a country club restaurant. She receives an automatic 15% tip which is added to the member's check for th

cricket20 [7]

Answer:

hii there

the correct answer is option ( D ) $143.50

hope it helps

have a nice day

7 0

2 years ago

Help pls!!! The radius of a circle is 15 inches. Enter the area of the circle, in square inches. Round your answer to the neares

Bas_tet [7]

Answer:

706.5 inches squared

Step-by-step explanation:

The formula for the area of a circle is pi r^2. r being the radius. Because you have the radius, and pi is 3.14 in this case, your new formula is A=3.14(15)^2. 15 squared is 225, times 3.14 gives you 706.5

Your final answer is already in tenths so you don't need to round! Hope this helps :)) and brainliest is always appreciated

4 0

2 years ago