Which equation has the solutions x = (5 plus/minus 2sqrt(7))/3

Answer:

25.685 square feet.

Step-by-step explanation:

Circumference = 2 * π * radius

From this, we can derive the formula for the radius:

radius = Circumference / (2 * π)

Let's substitute the value of the circumference and calculate the approximate radius:

radius = 18 / (2 * π)

radius ≈ 18 / (2 * 3.14159)

radius ≈ 2.865 feet

Now that we have the approximate radius, we can calculate the area:

Area ≈ π * radius²

Area ≈ 3.14159 * (2.865)²

Area ≈ 3.14159 * 8.193225

Area ≈ 25.685 square feet

Therefore, the approximate area inside the circular park is approximately 25.685 square feet.

Answer:

9.85 units

Step-by-step explanation:

Rounding to the nearest hundredth means rounding or correcting to two decimal places

Form a right-angled triangle where

One leg side of the triangle = opposite side (opp) = perpendicular

                                        = 9 units

Other leg side of the triangle = adjacent side (adj) = base

                                           = \((14 - 10)\) units

                                           = 4 units

Slanted height = Hypotenuse

                         = \(x\) units

Since this is a right-angled, x can be calculated using the Pythagorean Theorem:

\(hyp^{2} = opp^{2} + adj^{2}\)                                          

\(x^{2} = 9^{2} + 4^{2}\)

    \(= 81 + 16\)

    = \(97\)

Square root has to be applied to get rid of the square:

∴ x = \(\sqrt{97}\) units

      = 9.848 units
∴x = 9.85 units (Rounded off to the nearest hundredth)

Answer:

the expression would be

x=4 X y

Answer:

C - m > -49

Step-by-step explanation:

Got it right on edge! Have a good day! :))

The solution of the inequality - 3/7m < 21 will be m > - 49. Then the correct option is B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

- 3/7m < 21

Simplify the inequality, then we have

- 3/7m < 21

3/7m > - 21

m > - 21 x 7 / 3

m > - 49

The solution of the inequality - 3/7m < 21 will be m > - 49. Then the correct option is B.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ6

Answer: c=137

b=137

Step-by-step explanation: Angles in a straight line add up to 180 degrees

Answer:

\(F) ~200.96 ft\)

Step-by-step explanation:

\(---------\)

\(hope ~it ~helps\)

Answer: i think its uh F

Step-by-step explanation:

Answer: 162

Step-by-step explanation: 1 hundred is 100+ 5 tens that’s 50,+ 12 ones that’s 12. So, 100+50+12=162.

Answer:

162

Step-by-step explanation:

So one way that you can figure that out is by doing

  100

+   50

     12

______

   162

Hope it helped!

Answer:

$800 in a week

Step-by-step explanation:

to find how much she had after giving it to her mother we can use the equation 240 / 75%

240 / 75% = 320

then you must find how much she had before she gave part of her wage to her mother

320 / 40% = 800

she earns $800 in a week

Answer:

800$

Step-by-step explanation:

Answer:

Answer is c

Step-by-step explanation:

You find 7% of 103.64 which is 7.25 then you add that to 103.64 which is 110.89

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

Answer:

\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)

Step-by-step explanation:

Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.

\(A = \frac{h_{b}+b}{2}\)

Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.

By using trigonometric relations we will see that the area is:

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

Answer:

D

Step-by-step explanation:

Answer: D is the answer

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

96/8=12*4=48

Answer:

d

Step-by-step explanation:

polygons are atleast 5 sides or more

Answer:

A. 78 km/h

B.  9.75 km/l

C. 64.28571 km /h

Step-by-step explanation:

2.5 hours, drove 195 km, used 20 liters for whole journey

A. avg speed

speed = distance / time

speed = 195 km / 2.5 hours

speed = 78 km per hour

B. gasoline consumption rate in km/l

rate = kilometers / liters

rate = 195 km / 20 l

rate = 9.75 km/l

C. avg speed of 110 km/h for 45 mins, what is avg speed for remaining part?

distance = speed * time

distance = 110 km/h * 0.75 h

distance = 82.5 km

total distance = 195, 195-82.5, he has 112.5 km left to go for the trip

105 minutes left (2.5*60 - 45 = 105)

speed = distance / time

speed = 112.5 km / 1.75 h

speed = 64.28571 km /h

Answer:

a. 38 km per hour b. 9 1/4 of a km per 1 liter of gas

Step-by-step explanation:

sorry i dont have c

Answer:

\(\large\boxed{\tt \angle CDB \ is \ Complementary \ to \ \angle CDA.}\)

Step-by-step explanation:

\(\textsf{We are asked for the angle that is Complementary to} \ \tt \angle CDA.\)

\(\textsf{Note that} \ \tt \angle BDA \ \textsf{has an angle marking of a box, meaning that it equals 90}^{\circ}. \ \textsf{This}\)

\(\textsf{means that 2 angles in that right angle will be \underline{Complementary}.}\)

\(\large\underline{\textsf{What are Complementary Angles?}}\)

\(\textsf{Complementary Angles are 2 angles that form a 90}^{\circ} \ \textsf{angle. When identifying these}\)

\(\textsf{angles, both have measures less than 90}^{\circ}. \ \textsf{Note that Complementary Angles do \underline{not}}\)

\(\textsf{have to be \underline{adjacent}.}\)

\(\large\underline{\textsf{What are Adjacent Angles?}}\)

\(\textsf{Adjacent Angles are 2 or more angles that share a \underline{common vertex}. For our}\)

\(\textsf{problem, the common vertex is} \ \overrightarrow{\tt DC}.\)

\(\textsf{While there are 3 angles in total, we are looking for the angle Complementary to}\)

\(\tt \angle CDA. \ \textsf{This means that} \ \tt \angle BDA \ \textsf{is incorrect. This leaves} \ \tt \angle CDB. \ \textsf{This angle shares}\)

\(\textsf{a common vertex with} \ \tt \angle CDA.\)

\(\underline{\textsf{Hence;}}\)

\(\large\boxed{\tt \angle CDB \ is \ Complementary \ to \ \angle CDA.}\)

Answer:the answer is 36

Step-by-step explanation:i just guessed

Considering area (A) of garden as 30 square feet:

30 = x(2x+7)

Now we need to expand it:

x(2x+7) = 2x^2 + 7x

2x^2 + 7x = 30

Adding this into an Algebra calculator gives us 5/2 or 2.5

So x = 2.5

To prove this:

2(2.5) + 7 = 12

14 * 2.5 = 30

Answer:

Do not apply for any scholarships.

Step-by-step explanation:

69.50 +(3 x 5) = 84.5

Note- It seems something is missing from this problem,I answered you other question you may want to look their for better explanation of the problem.

HOPE THIS HELPS & GOOD LUCK.

Answer:

a/4 = b/3 = k

a=4k

b=3k

0.24=24/100=6/25

0.01=1/100

6b/25 = c/100 = k'

b=25k'/6=3k =>k'=18k/25

c=100k'=72k

Step-by-step explanation:

3 x^2 y, 2x+y

.........

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

¯\_(ツ)_/¯ its B

Answer:

Your answer is $52.2 :)

Step-by-step explanation:

First, we need to find the sale, which is 40% of $70, we can do that by doing this equation: (40% x $70) / 100 = 28.  Now we minus 28 from 70 in this equation: 70 - 28 = 42.  Now we do tax, which is 10.1% of $42.  We can do the same equation, but with the new information, so the new equation is ($42 x %10.1) / 100 which is 4.2042, and since we are talking money, we can make 4.2042, 4.2 (Rounded 0.042 down). Lastly, we add $4.2 (Tax) and $48 (Discounted price) to get $52.2. You're welcome :D

Answer:

300 balloooons

Step-by-step explanation:

Answer:

y=-1/4x +3

Step-by-step explanation:

x/2 + 2y = 6

Subtract x/2 from both sides

2y=-x/2 +6

Simplify by dividing by 2

y=-1/4x +3

Answer:

Step-by-step explanation:

\(-2\sqrt{24}+2\sqrt{2}-2\sqrt{8}=-2\sqrt{2*2*2*3}+2\sqrt{2}-2\sqrt{2*2*2}\\\\=-2*2\sqrt{2*3}+2\sqrt{2}-2*2\sqrt{2}\\\\=-4\sqrt{6}+2\sqrt{2}-4\sqrt{2}\\\\=-4\sqrt{6}+(2-4)\sqrt{2}\\\\=-4\sqrt{6}-2\sqrt{2}\)