Matrix Math! Find the Product
AxA^T

A
B
C
D

Answer:

a) Smallest line that can be made with each color = 300 cm

b) Total strips should be used = 47 strips

c) Total strips used of blue color = 20

  Total strips used of green color = 15

  Total strips used of red color = 12

Step-by-step explanation:

Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.

To find - a) How long is the smallest line that can be made with each color?

              b) How many strips should be used?

              c) How many of each color?

Proof -

a)

For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.

Firstly,

Decompose the 3 strips to its prime factors , we get

15 = 3×5

20 = 2²×5

25 = 5²

So,

The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300

∴ we get

Smallest line that can be made with each color = 300 cm

b)

Now,

Total strips used = 300 cm

Strips used by 15 cm blue = [tex]\frac{300}{15}[/tex] = 20 strips

Strips used by 20 cm green = [tex]\frac{300}{20}[/tex] = 15 strips

Strips used by 25 cm red = [tex]\frac{300}{25}[/tex] = 12 strips

So,

Total strips should be used = 20 + 15 + 12 = 47 strips

c)

Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

Answer:

.

Step-by-step explanation:

........

Answer:

1 Simplify 1.3\times 101.3×10 to 1313.

(13-2)\times 0.05

(13−2)×0.05

2 Simplify 13-213−2 to 1111.

11\times 0.05

11×0.05

3 Simplify.

0.55

0.55

The product of  (1.3 x 10⁻²) and (0.05)  is 0.065x 10⁻²

Two or more expressions with an Equal sign is called as Equation.

We need to find the product of (1.3 x 10⁻²) and (0.05)

Multiplication is a method of finding the product of two or more numbers

First multiply as if there is no decimal.

Next, count the number of digits after the decimal in each factor.

Finally, put the same number of digits behind the decimal in the product.

1.3×0.05=0.065

So 0.065x 10⁻² is the value of product (1.3 x 10⁻²) and (0.05)

Hence, the product of  (1.3 x 10⁻²) and (0.05)  is 0.065x 10⁻²

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

Any better explanation

Answer:

49

Step-by-step explanation:

Given

v² - 14v

To complete the square

add ( half the coefficient of the v- term )² to v² - 14v

v² - 14v + (- 7)²

= v² - 14v + 49

= (v - 7)² ← a perfect square

Answer:

A. 5.2

Step-by-step explanation:

I was taught how to do this using the SOH CAH TOA method.

Step 1: Circle your given angle.

Step 2: Label O, H, and A. The line across from your circled angle will be labeled O. The side across from the right angle is H. The last unmarked side is A.

Step 3: Cross off the useless side, in this case, that would be A because there is no corresponding information.

Step 4: Identify if it is sine, cosine, or tangent using SOH CAH TOA. In this case, you only have an O and H so we will use SOH.

Step 5: Set up the equation. The equation is [tex]\frac{sine(31)}{1} =\frac{x}{10}[/tex]. We will use sine of the given angle is equal to the side marked O over the side marked H.

Step 6: Solve for x until x is by itself, then enter into your calculator.

You will enter [tex]sine(31) * 10[/tex] into your calculator and round if necessary.

Answer:

20 Inches

Step-by-step explanation:

Ok here is how you do it so the formula for a trapezoid is base 1 plus base 2 divided by 2 times the height. so, in this case the two bases are 2 in and 6 in so we add those together and get 8 then, we divided 8 by 2 and we get 4.

Then now, we multiply 4 and 5 for our height and get 20 inches.

Answer:

21/H = 40/57

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

x= 1/27

Heart if it helps!

Answer:

Step-by-step explanation:

Answer:

12 possible outcomes

Step-by-step explanation:

Choosing 1 vehicle from 2 = 2C1 = 2

Choosing 1 color from 3 = 3C1 = 3

Choosing 1 type from 2 = 2C1 = 2

Number of possible outcomes :

2C1 * 3C1 * 2C1

2 * 3 * 2

= 12 different possible outcomes

Answer:

3/4

Step-by-step explanation:

when you line up the figures you get 9:12 which reduces down to 3/4

Answer:

18/30

Step-by-step explanation:

Answer:

8-i=g

Step-by-step explanation:

g= amount of rain Groesbeck gout

i = inches of rain

Answer:

saw this question on egde its b

Answer:

Well the whole answer is 10.246950 smth smth but I don’t have the multiple choices so your gonna have to round yourself

Step-by-step explanation:

Okay so you have a weigh of 8 and a diagonal of 13.

If you look, theres a triangle there. One side has 8 and the diagonal that was cut forms a 13. So we have a leg and a hypotnuse. To find the other leg (length) just follow the Pythagorean theroum and solve for b or a.

Pythagorean theroum: a^2+b^2=c^2

Now subsitute c for 13 since its the hypotnuse and a or b as 8 but only one.

In this case I’m substituting a for 8.

8^2+b^2=13^2

Solve the squares

64+b^2= 169

Isolate the b

b^2=105

Now square root 105

√105 will give the answer above on a normal calculator but if you have to round, I don’t know what place but you can round.

Answer:

most likely the last choice

Step-by-step explanation:

Answer: during evaporation

Step-by-step explanation: the sun heats up the water which caused it to evaporate

Answer:

-5×-5>15

+5 +5

-5×>20

÷-5 ÷-5

x<-4

whe you divide by a negativr you flip the sign

Answer:

100 degrees

Step-by-step explanation:

sum of angles in a quadrilateral = 360

missing angle = 360 - (60 + 110 + 90) = 100

Answer:

D. BC = 12cm, <B = 45, AC = 12cm

Step-by-step explanation:

Edge 2021

The measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm

A right triangle is a triangle that has one of its angle measure to be 90 degrees.

From the question, we have:

Angle B = 45 degrees

Since angle B is 45 degrees, then the legs of the triangle are equal (i.e. 12 cm)

Hence, the measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm

Read more about right triangles at:

brainly.com/question/2437195

Answer:

3x³+32

Heart if it helped

Answer:

u just simplify the expression

the answer is 50

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

it's a rectangle of area 2*4=8 minus a triangle of area 1*2/2=1 so 8 - 1 = 7

Answer:

702/9 is 78 your answer is 78

Step-by-step explanation:

27*13*2

9514 1404 393

Answer:

  (a)  2S, 1A

Step-by-step explanation:

A triangle is completely specified when all three sides and all three angles are known. This triangle shows the measure of 1 side, so 2 sides are missing (2S). It shows the measures of angle Q and P, so angle N is missing (1A).

The missing information is 2 sides and 1 angle: 2S, 1A.

Answer:

3 bags of chocolate chips and 3 bags of walnuts

Step-by-step explanation:

1 pound = 16 ounces (oz). So, our dear Jemina needs 48 ounces. Then, we do system of equations. one of the equations are 3x +2y = 15(dollars), and then second is 12x + 4y = 48. (ounces/pound). Let's solve for x first. We multiply the dollars equation by 2 to eliminate y from both equations. 6x +4y = 30. When you subtract, you get 6x = 18. So, x = 3, Jemina buys 3 chocolate chips bags. So, thats $9. So, she also spends $6 on walnuts. For checking, 3 bags of chocolate chips  = 36 ounces. 3 bags of walnuts = 12 ounces. 36+12 ounces  = 48 ounces. :D

Answer:

x = 12

Step-by-step explanation:

(8x - 1) + (3x + 4) + (3x + 9) = 180 degrees

14x + 12

180 - 12 = 168

14x = 168

/14  |   /14

x = 12

Top left angle: (8x - 1)

8*12 - 1

96 - 1

= 95

Sorry! gtg I hope this helps!

Answer:

f-1(x) = (x - 16)/40

B

Step-by-step explanation:

Call f(x) = y

Interchange x and y

x = (5y + 2)*8             Remove the brackets

x = 40y + 16               Subtract 16 from both sides

x - 16 = 40y                Interchange the left and right sides

40y = x - 16                Divide by 40

y = (x - 16)/40

f-1(x) = (x - 16)/40

Step-by-step explanation:

are in the solution:

(3,1)

(-1,2)

(6,0)

(0,0)

are not

(-2,-1)

(0,-4)