2 One yoga mat covers 1/10 of the floor of a yoga room. Each of 8 students places a yoga mat on the floor. Which shaded part of the model shows the total fraction of the yoga room’s floor that is covered by the yoga mats?

Answer: [tex]-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Step-by-step explanation:

Given

[tex]\vec{a}=2\hat{i}+4\hat{j}-5\hat{k}\\\vec{b}=\hat{i}+\hat{j}+\hat{k}[/tex]

[tex]\vec{c}=\hat{j}+2\hat{k}[/tex]

The addition of the three is [tex]\vec{a}+\vec{b}+\vec{c}[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=(2\hat{i}+4\hat{j}-5\hat{k})+(\hat{i}+\hat{j}+\hat{k})+(\hat{j}+2\hat{k})[/tex]

[tex]\vec{a}+\vec{b}+\vec{c}=3\hat{i}+6\hat{j}-2\hat{k}[/tex]

vector opposite to the vector  [tex]\vec{a}+\vec{b}+\vec{c}\ \ \text{is}\ -(\vec{a}+\vec{b}+\vec{c})[/tex]

[tex]\therefore -(\vec{a}+\vec{b}+\vec{c})=-3\hat{i}-6\hat{j}+2\hat{k}[/tex]

Answer:

v=10

Step-by-step explanation:

-4(v+1)=2(1-20)-6

step 1

distribute the -4 to v and 1 and distribute the 2 to 1 and --20

-4xv=-4v-4x1=-4      2x1=2 2x-20=-40

now we have -4v-4=2-40-6

step 2 combine like terms

the only like terms are -6 and -40 2

-6+-40+2=-44

now we have

-4v-4=-44

step 3 add 4 to each side

4+-44=-40

-4+4 cancels out

were left with

-4v=-40

the last step is to divide each side by -4

-4/-4 cancels out

-40/-4=10

in conclusions

v=10

have a great day :D

The general form of an equation of a circle with center at (a, b) and radius of length m is x² + y² - 2ax - 2by + (a² + b² - m²) = 0.

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Here center is given as (a, b).

Radius is given as m.

Substituting,

(x - a)² + (y - b)² = m²

x² - 2ax + a² + y² - 2by + b² = m²

x² + y² - 2ax - 2by + (a² + b²) = m²

x² + y² - 2ax - 2by + (a² + b² - m²) = 0

Hence the required equation is, x² + y² - 2ax - 2by + (a² + b² - m²) = 0.

Learn more about General Form of Circle here :

https://brainly.com/question/10618691

#SPJ7

Answer:

A, B, C

Step-by-step explanation:

15x+45

3 (5x + 15)

5(3x +9)

15(x + 3)

Answer:

15 x 8 x 11 x 17 = 22440

Answer:

(d+j) ÷8

Step-by-step explanation:

Aw that's really nice of you thanks

thank you <3 appreciate it loads

Answer:

1) The value of [tex]x[/tex] is 12.

2) The length of the diagonal is 49.

Step-by-step explanation:

1) If the glass is a rectangle, then both diagonal must have the same length, that is, the following equation must be solved:

[tex]5\cdot x - 11 = 2\cdot x + 25[/tex] (1)

We need some algebraic handling to determine the value of [tex]x[/tex]:

[tex]5\cdot x - 11 = 2\cdot x + 25[/tex]

[tex]5\cdot x - 2\cdot x = 25 +11[/tex]

[tex][5+(-2)] \cdot x = 36[/tex]

[tex]3\cdot x = 36[/tex]

[tex]x = 12[/tex]

The value of [tex]x[/tex] is 12.

2) If we know that [tex]x = 12[/tex], then the length of the diagonal ([tex]d[/tex]) is:

[tex]d = 2\cdot x + 25[/tex]

[tex]d = 49[/tex]

The length of the diagonal is 49.

Answer:

25%

Step-by-step explanation:

20/80 = 2/8 = 1/4

1/4 = 0.25

0.25 x 100 = 25

so 25%

Answer:

0.25

Step-by-step explanation:

Divide 20 by 80

Answer:

10.168 mg

Step-by-step explanation:

Amount of caffeine in body = 110 mg

Decreases at the rate of rate of 18% per hour

how much caffeine will be in your bloodstream after 12 hours

After the first hour;

New amount = 110 - (0.18 * 110) = 90.2 mg

After the second hour;

New amount = 90.2 - (0.18 * 90.2) = 73.964 mg

After the third hour;

New amount = 73.964 - (0.18 * 73.964) = 60.65 mg

After the fourth hour;

New amount = 60.65 - (0.18 * 60.65) = 49.733 mg

After the fifth hour;

New amount = 49.733 - (0.18 * 49.733) = 40.78 mg

After the sixth hour;

New amount = 40.78 - (0.18 * 40.78) = 33.44 mg

After the seventh hour;

New amount = 33.44 - (0.18 * 33.44) = 27.4208 mg

After the eighth hour;

New amount = 27.4208 - (0.18 * 27.4208) = 22.485 mg

After the ninth hour;

New amount = 22.485 - (0.18 * 22.485) = 18.4377 mg

After the tenth hour;

New amount = 18.4377 - (0.18 * 18.4377) = 15.119 mg

After the eleventh hour;

New amount = 15.119 - (0.18 * 15.119) = 12.40 mg

After the twelfth hour;

New amount = 12.40 - (0.18 * 12.40) = 10.168 mg

Answer:

The second option.

Answer:

its B

Step-by-step explanation:

Answer:

is there another number after the 7 if so if it is 5 or bigger it rounds up but 1-4 rounds down

Step-by-step explanation:

Answer:

0.23!! =D

hundredths (1/100)

Answer:

1938

Step-by-step explanation:

Answer:

The answer is 14.525

Step-by-step explanation:

10. 347

+ 4. 178

_________

14 . 525

Thus, the answer is 14.525.

Answer:48.1897 = 48.2

Step-by-step explanation: cos P= 3.8/5.7

P= cos-1 (3.8/5.7)

P=48.1897 = 48.2

Answer:

there are 4.3 weeks in a month

so then,

4.3 × 70 = 301

the awnser is:

301 dollors per month

Answer:

3) [tex]1 \frac{2}{4}[/tex] in

4) 3 days

Answer:

3. 2in. the 3 one on the list.    4. it snowed 3 1/4 3x

Step-by-step explanation:

Answer:.

Step-by-step explanation:nearest hundredth the answer for this question is joe mama

Answer:

could you add the picture? then i will edit my answer to give you the actual answer

Step-by-step explanation:

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order to figure out whether or not the statement is true or false, plug the [tex]x[/tex] and [tex]y[/tex] values from the coordinate pair (5, 2) into the given equation, [tex]2x+3y=10[/tex]. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for [tex]x[/tex] in the equation [tex]2x+3y=10[/tex].

then plug in 2 for [tex]y[/tex].

now your equation is [tex]2(5)+3(2)=10[/tex]. all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

multiply 3 · 2.

add 10 + 6.

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

Answer:

600 1/4 ft²

Step-by-step explanation:

Window is a 7 * 7 square array

Length per tile = 3 1/2 ft long

Dimension of entire array :

3 1/2 * 7 by 3 1/2 * 7

7/2 * 7 by 7/2 * 7

49/2 by 49/2

Recall : Area of a square = a² ; where a = side length

Area of entire array :

49/2 * 49/2 = 2401 / 4 = 600 1/4 ft²

Answer:

A. 66

Step-by-step explanation:

180 - 90 = 90

90 - 24 = 66

Answer will be 66

Hope this helps!

Answer:

D 0.9988

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

going to the number "4" 3 dots down is 4,3

Answer:

8 fifty cents coin.

Step-by-step explanation:

Let's assign variable for the unknown number of coins.

Let there are 'x' number of $1 coins

'y' number of 20 cent coins

'z' number of 50 cent coints.

Totally there are 26 coins.

So, x+y+z=26

Now, there are 6 more $1 coins than 20-cent coins.

We can set up equation for this as

x= y+6

Now, total value of these coins is $17.20

We can setup equation as

100 x+20 y+50 z=1720

Now, substitute x as y+6

100(y+6) +20 y+50 z =1720

Distribute the 100 to get rid ( )

100 y+600 +20 y+50 z=1720

Combine like terms

120 y+50 z= 1120

Keep this equation as it is.

Plug in x as y+6 into x+y+z=26

y+6+y+z=26

2y+z=20

Now, take the two equations

2y+z=20

120y+50z=1120

Multiply first equation by -60 to eliminate the y terms when we add them.

-120y-60z=-1200

120y+50z= 1120

-------------------------

     -10z =-80

Divide both sides by -10

z=8

Now, plug in z as 8 into 2y+z=20

2y+8 =20

Subtract both sides 8

2y=12

Divide both sides by 2

y=6

Now, plug in y, z values into the first equation.

x+6+8=26

x+14=26

Subtract both sides 14

x=12

So, there are eight 50-cent coins.

Answer:

x = 3

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation: