Does the ordered pair (2,1) satisfy the following system of equations?

[tex]\\\text{Side length of square A = a \text{ft}}\\\\\text{Side length of square B = b \text{ft}}\\\\ \text{Side length of square C = c \text{ft}}\\\\ \text{Given that,}\\\\\text{Area of square C} = 400 ~ \text{ft}^2\\\\\implies c^2=400~~~~~~......(i)\\\\\\\text{Perimeter of square B } = 64~ \text{ft}\\\\\implies 4b = 64\\\\\implies b = \dfrac{64}4\\\\\implies b = 16\\\\\implies b^2 = 256~~~~~~~.....(ii)\\\\\\[/tex]

[tex]\text{Applying Pythagorean theorem,}\\ \\~~~~~c^2 =a^2 +b^2\\\\\implies a = \sqrt{c^2 - b^2}\\ \\\implies a = \sqrt{400-256}\\\\\implies a = \sqrt{144}\\\\\implies a = 12[/tex]

[tex]\text{Hence, the side length of square A is 12 ft.}[/tex]

Answer:

Step-by-step explanation:

-(-5.7) = 5.7

30.25 - (-5.7) - 2.08 = 30.25 + 5.7 -2.08

Now add 30.25 & 5.7

                                =  35.95 - 2.08

                                 = 33.87

Answer:

345-345 x 234567890

Step-by-step explanation:

asi queda el doble

Using proportions, it is found that the amount owed for each bill are given as follows:

$31.33 for food $9.90 for alcohol.

A proportion is a fraction of a total amount.

In this problem, each of the bills are split equally among the five people, hence the fraction is 1/5.

Thus:

1/5 x 156.65 = $31.33

1/5 x 49.50 = $9.90.

Hence the amount owed for each bill are given as follows:

$31.33 for food $9.90 for alcohol.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:  Triangle 4

The red triangle (that's unlabled) is reflected over the vertical line x = 6 to produce triangle 4.

Answer:

D) 46

Step-by-step explanation:

1) Substitute the given values into [tex]7p + \frac{q}{3}[/tex].

= [tex]7(6) + \frac{12}{3}[/tex]

2) Solve it.

= [tex]42 + \frac{12}{3}[/tex]

= [tex]42 + 4[/tex]

= 46

Answer:

The answer is 404

Step-by-step explanation:

multiply 36 by 6= 216

add 188= 404

she got $404.00

Answer:

[tex] \large{ \boxed{12\%}}[/tex]

____________________________________

[tex] \large{ \tt{G \: I \: V \: E \: N}} : [/tex]

[tex] \longrightarrow{ \tt{}}[/tex] Commission received : $ 480

[tex] \longrightarrow[/tex] Selling price of merchandise : $ 4000

[tex] \large{ \tt{ To \: Find : }}[/tex]

[tex] \longrightarrow[/tex] Commission rate

[tex] \large{ \tt{SOLVING : }}[/tex]

[tex] \star \: \large{ \tt{x\% \: of \: 4000 = 480}}[/tex]

[tex] \longrightarrow \: { \tt{ \frac{x}{100} \times 4000 = 480 }}[/tex]

[tex] \longrightarrow{ \tt{40x = 480}}[/tex]

[tex] \longrightarrow{ \tt{x = \frac{480}{40} }}[/tex]

[tex] \longrightarrow{ \tt{x = 12\%}}[/tex]

_______________________________

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Answer:

Rug 2

667/25 yd

Step-by-step explanation:

Bedroom: 23/5 x  29/5 = 667/25 yd

Rug one > 26.68

Rug two < 26.68

Answer:

60% :)

Step-by-step explanation:

6/10 = 0.6 x 100 = 60% :D

Have an amazing day!!

Please rate and mark brainliest!!

Bob and Ben, both have equal probabilities of 6 % of winning.

Given that Bob and Ben are two friends who buy one lottery ticket each. Each ticket contains six numbers from a total of one hundred numbers from 0 to 99.

Bob chooses the numbers 1, 2, 3, 4, 5, 6, and Ben chooses the numbers 39, 45, 66, 72, 74, 89.

We are to select the friend who has a higher probability of winning.

Let, 'S' be the sample space for the experiment.

Then, S = {0, 1, 2, . . . , 98, 99}      ⇒  n(S) = 100.

Let, B and F are the events that Bob win and Ben win respectively.

Then,

B = {1, 2, 3, 4, 5, 6}     ⇒  n(B) = 6

and

F = {39, 45, 66, 72, 74, 89}     ⇒  n(F) = 6.

Therefore, the probability of even t B is

[tex]P(B)=\dfrac{n(B)}{n(S)}=\dfrac{6}{100}=6\%[/tex]

and the probability of event F  is

[tex]P(B)=\dfrac{n(F)}{n(S)}=\dfrac{6}{100}=6\%[/tex]

Since, both the events have equal probabilities, so there is an equal chance of winning of Bob and Ben.

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Answer:

See image

Step-by-step explanation:

Plato

Answer:

10 1/2 gallons = 42 quarts:)

Answer:

-5,-4.9,-4.35,-4.3,-4

Step-by-step explanation:

Hope this helps :)

Apply Pythagorean theorem

Answer:

Anything known? I mean the lenght of bottle or anything like that?

The surface area of circle of radius 3 cm and cube of edge length x cm being equal implies [tex]x = \sqrt{k\pi}[/tex] integer (k = 6).

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

Given that:

Finding the surface area of the considered cube and sphere:

Thus, we get:

[tex]6x^2 = 36\pi\\\\\text{Dividing both the sides by 6}\\\\x^2 = 6\pi\\\\\text{Taking root of both the sides}\\\\x = \sqrt{6\pi} \: \rm cm[/tex]

(took positive value out of the root since x cannot be negative as it represents length of the edge of a cube which cannot be a negative quantity).

Thus, the surface area of circle of radius 3 cm and cube of edge length x cm being equal implies [tex]x = \sqrt{k\pi}[/tex] integer (k = 6).

Learn more about surface area of sphere here:

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Answer:

x² - 10x + 2

Step-by-step explanation:

(x - 2)(2x + 3) = 2x² + 3x - 4x - 6

= 2x² - x - 6

(3x² - 11x - 4) - (2x² - x - 6) = x² - 10x + 2

Answer:

Their are 34 musicians

Step-by-step explanation:

Answer:

1.66

---------

First find the value of 8 divided by 10 because they are in parentheses.

[tex]10/8 = 1.25[/tex]

Divide 6 by 1.25

[tex]6 / 0.8 = 4.8[/tex]

Then, divide by 4

[tex]4.8 / 4 = 1.2[/tex]

Finally, divide 2 by 1.2

[tex]2 / 1.2 = 1.66[/tex]

The answer should be 1.66 if you do the problem right to left(because of the order of operations).

Answer:

12.5

Step-by-step explanation:

25% means the 1/4th part of the whole number and in the case if 50 it's 1/4th part is 12.5

Answer

58,432 money you have leftover or $8,700 still left to pay.

Step-by-step explanation:

After knowing the contracts for steady work is 45 hours per week I just divided it by the days she works a week, which is most likely 5 and got 9 hours a day, then did $25 * 9 to get the payment per day which is $225 then multiplied it by 5 for the days working in a week, then multiply it again by 52 to get $58,500 as your payment and if your expenses is $5.6 per month (5.6*12=67.2) then your payment cover all of it and you still have $58,432.8 remaining, but if the expenses are $5,600 a month (5,600*12=67,200) then you cover most of it but still have to pay $8,700

Answer:

0** (READ BELOW)

Step-by-step explanation:

First, solve for g(0). Since g(0) = 3x +2, we plug in 0 for x.

So,

g(0) = 3(0) + 2  = 0 + 2 = 2.

Now that we have an answer for g(0), we can plug it into f(x).

So,

f(x) = (x-2)/3

f(x) = f(g(0)) = f(2).

f(2) = (2-2)/3 = 0/3 = 0.

Thus, f(g(0)) = 0.

Essentially, you first solve for g(0) and use the answer from that to solve for f(x) where x is your answer from g(0).

**I was unsure of what the equation was for f(x) based on how you wrote it in the question, but I assumed it was f(x) = (x-2)/3.

Answer: 2.5$

Step-by-step explanation: Since 1 hour is half of 2 hours and the price to park for 2 hours is 5. We can take half of the 2 hour parking price to find the 1 hour price.

5$/2 Hours = 2.5$ per hour

Your answer is A. 6.25%

Answer:$80.24

Step-by-step explanation:68*0.18(18%)

12.24

68+12.24=$80.24

Answer:

  a, b) no solution

Step-by-step explanation:

The solution of your inequality on real numbers can be used to inform the solution for other domains.

__

  11x -3 ≥ 28x +10

  -13 ≥ 17x . . . . . . . . subtract (11x+10)

  -13/17 ≥ x . . . . . divide by the coefficient of x

__

If x is an integer, there is no least possible value. x will approach negative infinity. (no solution)

__

There are no negative prime numbers, so there are no values of x that are prime. (no solution)

Answer:

See below ~

Step-by-step explanation:

1. Vertically opposite angles are equal when two lines intersect.

2. The sum of two interior angles is equal to the exterior angle forming a linear pair with the third angle.

3. The sum of the interior angles of a triangle is 180°.

4. You can find the length of a hypotenuse using the Pythagorean Theorem.

Answer:

Step-by-step explanation: