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steposvetlana [31]
3 years ago
11

In a park, a sidewalk is built around the edge of a circular garden as shown. The sidewalk is 5 feet wide, and the garden measur

es 10 feet across. Which measurement is closest to the circumference of the outer edge of the sidewalk?
Mathematics
1 answer:
posledela3 years ago
4 0

Answer:

63 feet.

Step-by-step explanation:

The total diameter of the circular garden is given by 5ft+ 10 ft + 5 ft= 20 feet

As the circumference of the circle = 2πr where r = radius obtained by dividing the diameter by 2. Here the diameter = 20 feet and r= d/2 = 20/2 = 10 feet

Putting the values in the circumference formula

Then C= 2(22/7) (10)= 62.85 feet

Rounding gives almost 63 feet .

You might be interested in
Which statement is true about the function f(x)= Vx?
saveliy_v [14]

Answer:

The statement "the range of the graph is all real numbers greater than or equal to 0" is true.

Step-by-step explanation:

As the function is given by

                                             

As we know that the domain is the set of all possible input values or all  x -values that a function passes through.  In other words, domain consists of all the possible input values shown on the x-axis.

Range is the set of all y-values that a function passes through. In other words, range consists of all the possible output values shown on the y-axis.

For the given function

                                       

The domain of the given function  

The domain of  can also be written as: {x | x ≥ 0}

It means the domain of the graph of this function is all real number greater than or equal to 0.

The domain of the graph of this function can not be less than zero, because if we put any negative real number in this function, it would make the the function undefined.

Please check the attached graph as shown in figure a, to visualize the domain and range of  

From the graph.

it is visible that the range of the given function  

The range of  can also be written as: {y | y ≥ 0}

In other words, for every input value in the domain of this function, the range of   will be all real numbers greater than or equal to 0. Please see the attached graph as shown in figure a.

So, from the entire discussion, we can safely say that the statement "the range of the graph is all real numbers greater than or equal to 0" is true.

4 0
2 years ago
1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
Please answer to receive ten points. I'll vote who answers first the brainliest if its correct. 
beks73 [17]

The distance between points P_1(x_1,y_1) and P_2(x_2,y_2) can be calculated using formula

P_1P_2=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

1.

AB=\sqrt{(-7-(-11))^2+(8-4)^2}=\sqrt{16+16}=\sqrt{32}=4\sqrt{2}\approx 5.657.

2.

AC=\sqrt{(-4-(-11))^2+(4-4)^2}=\sqrt{49+0}=\sqrt{49}=7.

3.

CB=\sqrt{(-7-(-4))^2+(8-4)^2}=\sqrt{9+16}=\sqrt{25}=5.

Then

P_{ABC}=5.657+7+5=17.657\approx 17.7

Answer: correct choice is C.

3 0
3 years ago
Please let me know the correct answer.
NNADVOKAT [17]

Set h to 640 and solve for t:

640 = -490t^2 + 1120t

Subtract 640 from both sides:

-490t^2 + 1120t - 640 = 0

The formula to solve a quadratic equation is:

x = -b -/+ sqrtroot (b^2-4ac)/(2a) where a = -490, b = 1120 and c = -640

Solve:

x = -1120 -/+ sqrtroot (1120^2-4(-490)(-640) )/ 2(-490)

x = 8/7 = 1.1428 = 1.14

Time was 1.14 seconds

4 0
3 years ago
Is 2 greater or less than or equal to -5?
Marina CMI [18]
2 is greater then -5.


2 is a positive number unlike -5 it is a negative which is less then 2.
5 0
3 years ago
Read 2 more answers
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