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Leni [432]
3 years ago
13

Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric circles a

re each 1.25 m long. Find the total length of wrought iron used to make the structure. Round the answer to the nearest meter.

Mathematics
2 answers:
seropon [69]3 years ago
8 0

Answer:

57 m

Step-by-step explanation:

masha68 [24]3 years ago
7 0
Diameter of the bigger semi-circle is 15 m
circumference of the bigger semi-circle = πd = 15π

diameter of the smaller semi-circle = 15 - 2(1.25) = 15 - 2.5 = 12.5 m
circumference of the smaller semi-circle = πd = 12.5π m

Total length of the segments between the two circles = 11(1.25) = 13.75 m

Total length of wrought iron used = 15π + 12.5π + 13.75 = 100 m
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Which of the following expressions are factors of p(x)=60x4+24x3−45x2−18x?
Whitepunk [10]

The factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Step-by-step explanation:

We need to find factors of the expression p(x)=60x^4+24x^3-45x^2-18x

Solving the expression: p(x)=60x^4+24x^3-45x^2-18x

Taking 3x common:

p(x)=3x(20x^3+8x^2-15x-6)

Now, factor by grouping, the terms inside the bracket.

p(x)=3x((20x^3+8x^2)+(-15x-6))

p(x)=3x(4x^2(5x+2)-3(5x+2))

p(x)=3x(4x^2-3)(5x+2)

So, the factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Keywords: Finding Factors

Learn more about finding factors at:

  • brainly.com/question/1414350
  • brainly.com/question/1464739
  • brainly.com/question/2568692

#learnwithBrainly

5 0
3 years ago
what are the coordinates of that center of a circle if the endpoints of its diameter are a(8,-4) and b(-3,2)?
11111nata11111 [884]
You need to add 8 and -3 together to get 5 and divide 5 by 2 to get 2.5
That is the x coordinate
You then need to add 2 and -4 together to get -2 and divide by 2 to get -1
This is the y coordinate
(2.5,-1)
8 0
3 years ago
What two numbers have a product of -2 and a sum of 7
Citrus2011 [14]

<em>Greetings from Brasil...</em>

According to the statement of the question, we can assemble the following system of equation:

X · Y = - 2      i

X + Y = 7       ii

isolating X from i and replacing in ii:

X · Y = - 2

X = - 2/Y

X + Y = 7

(- 2/Y) + Y = 7     <em>multiplying everything by Y</em>

(- 2Y/Y) + Y·Y = 7·Y

- 2 + Y² = 7X     <em> rearranging everything</em>

Y² - 7X - 2 = 0      <em>2nd degree equation</em>

Δ = b² - 4·a·c

Δ = (- 7)² - 4·1·(- 2)

Δ = 49 + 8

Δ = 57

X = (- b ± √Δ)/2a

X' = (- (- 7) ± √57)/2·1

X' = (7 + √57)/2

X' = (7 - √57)/2

So, the numbers are:

<h2>(7 + √57)/2</h2>

and

<h2>(7 - √57)/2</h2>
7 0
3 years ago
Which table shows a function that is decreasing only over the interval (–1, ∞)? A 2-column table with 6 rows. The first column i
Lemur [1.5K]

Answer:

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Step-by-step explanation:

Those are the 3 answers. Just did it on edge.

8 0
3 years ago
Doug regularly mows his neighbor's lawn. Last month, Doug's neighbor paid him $55 for 6 hours of mowing. Is this situation most
nasty-shy [4]

Solution:

we are given that

Last month, Doug's neighbor paid him $55 for 6 hours of mowing.

we have been asked that

Is this situation most likely a proportional relationship?

yes..its as proportional relationship.

Because the amount that Doug get is $55 for 6 hours

It mean for each hour Doug get  is \frac{55}{6} $

It mean if you increase the number of hours then the number of dollars get paid also increases. Hence the given  situation is most likely a proportional relationship.



8 0
3 years ago
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