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3 years ago

45 Points!!!!!!!!!!

2 answers:

8 0

Hello there.

1. In triangle PQR, the measure of angle P = 55, the measure of angle Q = 82, and the measure of angle R = 43. List the sides of the triangle in order from shortest to longest.Side PQ, side QR, side PR<span>

2. In triangle MNS, MN = 7, NS = 5, and MS = 9. List the angles of the triangle in order from smallest to largest.</span>Angle M, angle S, angle N<span>

3. Two sides of a triangle have side lengths 8 units and 17 units. Describe the lengths (x) that are possible for the third side.</span> x<25

natulia [17]3 years ago

7 0

1. Side PQ, side QR, side PR

2. Angle M, angle S, angle N

3. x<25

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A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same a

ziro4ka [17]

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

= b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

= b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

4 0

3 years ago

Three dumpsters are delivering sand to a golf course

timofeeve [1]

Answer:

10,000 tons of sand is being delivered.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

The perimeter of a rectangular campsite is 64 cm and its area is 207 cm. Find the length and the breadth of the rectangle.

AlladinOne [14]

Perimeter Formula:
$2l + 2b = 64$

Area Formula:
$l \times b = 207$
Set perimeter Formula equal to b:
$2l + 2b = 64 \\ 2(l + b) = 64 \\ l+ b = 32 \\ b = 32 - l$
Plug formula for be we just made above into the area Formula:
$(32 - l) \times l = 207$

Solve for L (you'll have to use quadratic formula) then plug that back into the area Equation and solve for b.

Here's a link to where the problem has been explained before (they go into more detail than me).

https://brainly.ph/question/468631

lmk if you need any more help

6 0

3 years ago

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What is the average of 4 1/2, 3 1/3, 2 , 2 1/6

Zinaida [17]

Answer:

Step-by-step explanation:

To find the average add all these numbers together, then divide by how many numbers you have.

$4\frac{1}{2} +3\frac{1}{3} +2+2\frac{1}{6} =12$