You have 324 ft^2 of fabric to make a circular play parachute for kids. What is the radius of the largest parachute you can make? Round to the nearest tenth of a foot.

Answers

Answer 1
Answer: Area of a circular play parachute:
A = 324 ft²
A =  r² π
r² π = 324
r² = 324 : 3.14
r² = 103.1874
r = √103.1874
r = 10.157987 ≈ 10.2 ft

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If the area of ABC is 20 cm2, what is the area of PQR? Show your work.

Answers

Since the triangles are similar, the first thing to do is find the scale factor.
 We have then:
 k = 6/4 = 3/2
 Then, the area will be given by:
 A '= k ^ 2 * A
 Substituting values:
 A '= ((3/2) ^ 2) * (20)
 A '= 45 cm ^ 2
 Answer:
 The area of PQR is:
 A '= 45 cm ^ 2

Answer:

Area of ΔPQR = 45 cm²

Step-by-step explanation:

From the given figure we can see that triangle ABC and triangle PQR are similar triangles.

If two triangles are similar the the ratio of area of two triangle is equal to the square of ratio of corresponding sides

To find the area of triangle PQR

Ar(ABC) = 20, AB = 4 cm and PQ =6 cm

From figure we can write,

Ar(ABC)/ar(PQR) = (AB/PQ)²

20/ar(PQR) = (4/6)²

20/ar(PQR) = 16/36

ar(PQR) = (36 x 20)/16 = 45 cm²

Y=4x – 10y=2what is the solution to the system of equations?

Answers

Answer:

x=3 and y=2

Step-by-step explanation:

We are given with two equations

Y=4x – 10

y=2

From the two equations we already have value y=2

To find out x, plug in 2 for y in the first equation

y= 4x -10

2 = 4x -10

add 10 on both sides

12= 4x

now divide by 4 on both sides

3= x

the value of x=3

so x=3  and y =2

Answer:

A is the right answer (3,2)

Step-by-step explanation:

Please help me figure this out .


2x+10(340/139)=-18

Answers

Answer:

To solve the equation 2x + 10(340/139) = -18, we can follow these steps:

1. Distribute the 10 to the terms inside the parentheses:

2x + (10 * 340/139) = -18

2x + 3400/139 = -18

2. Combine like terms:

2x + 3400/139 = -18

3. Move the constant term to the other side of the equation by subtracting 3400/139 from both sides:

2x = -18 - 3400/139

4. Simplify the right side of the equation:

2x = (-18 * 139 - 3400) / 139

5. Calculate the right side of the equation:

2x = (-2502 - 3400) / 139

2x = -5902 / 139

6. Divide both sides by 2 to isolate the variable x:

x = -5902 / (2 * 139)

x = -5902 / 278

x = -21.2115 (rounded to four decimal places)

Therefore, the solution to the equation 2x + 10(340/139) = -18 is x = -21.2115.

What value of x is in the solution set of 4x – 12 ≤ 16 + 8x?
–10
–9
–8
–7

Answers

Hello,

4x-12<=16+8x==> -28<=4x==>x>=-7

-7 is the only value in the set.
Answer D

Answer:

its -7 GG's to all

Step-by-step explanation:

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

Answers

Answer:

The answer is A. y = 2x + 20; x is any integer greater than or equal to, 0 and y is any integer greater than or equal to 20

Step-by-step explanation:

I need help with this ASAP, please thank you

Answers

Answer:

Option A is the correct answer.

Step-by-step explanation:

Line is passing through the point(2, - 6) = (x_1, \: y_1) and its slope is - 3.

Equation of line in slope point form is given as:

y-y_1 = m(x-x_1) \n</p><p>\therefore y-(-6) = - 3(x-2) \n</p><p>\huge \red {\boxed {\therefore y + 6 = - 3(x-2)}} \n

Answer: A

Step-by-step explanation:

Point-slope form is the following: y - y1 = m(x - x1). So all that is needed is to substitute y1 for -6, x1 for 2, and -3 for m(the slope).

y - y1 = m(x - x1)

y - (-6) = -3(x - (2))

y + 6 = -3(x - 2)