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3 years ago

An arched entrances to a stadium is made by combining a square and a semicircle. What is the area of the opening?

1 answer:

alexandr1967 [171]3 years ago

6 0

<span>Answer: 100+25pi

The area of square part of arch is 10*10=100 the diameter of the circle is 10 therefor radius is 5 and area is \[\pi*r^2=\pi*25\] therefore total area is 100+25pi
</span>

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In this diagram, what is the value of b, correct to the nearest tenth?

lilavasa [31]

We will use the Sine Law:
$\frac{sin 54.33}{b}= \frac{sin29.16}{3} \\ b = \frac{3sin54.33}{sin29.16}$
b = 5.001
Answer: D) 5.0

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3 years ago

What does slope tell you about a line? *

Vilka [71]

Because it's a straight line

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3 years ago

Which of the following is the discriminant of the polynomial below x^2+4x+5

steposvetlana [31]

Answer:

$\huge\boxed{\sf Discriminant = -4}$

Step-by-step explanation:

Comparing it with quadratic equation $ax^2 + bx + c = 0$ , we get:

a = 1 . b = 4 and c = 5

So,

Discriminant = $b^2-4ac$

D = (4)²-4(1)(5)

D = 16 - 20

D = -4

Hence,

Discriminant = -4

$\rule[225]{225}{2}$

Hope this helped!

4 0

3 years ago

I need to find the greatest common factor of <img src="https://tex.z-dn.net/?f=40s%5E3t%5E5" id="TexFormula1" title="40s^3t^5" a

solong [7]

Answer:

$\large\boxed{GCF(40s^3t^5,\ 2s^4t^4,\ 14s^6t^6)=2s^3t^4}$

Step-by-step explanation:

$40s^3t^5=\boxed2\cdot2\cdot2\cdot5\cdot \boxed{s\cdot s\cdot s}\cdot \boxed{t\cdot t\cdot t\cdot t}\cdot t\\\\2s^4t^4=\boxed2\cdot \boxed{s\cdot s\cdot s}\cdot s\cdot \boxed{t\cdot t\cdot t\cdot t}\\\\14s^6t^6=\boxed2\cdot7\cdot \boxed{s\cdot s\cdot s}\cdot s\cdot s\cdot s\cdot \boxed{t\cdot t\cdot t\cdot t}\cdot t\cdot t\\\\GCF(40s^3t^5,\ 2s^4t^4,\ 14s^6t^6)=\boxed2\cdot \boxed{s\cdot s\cdot s}\cdot\boxed{t\cdot t\cdot t\cdot t}=2s^3t^4$

7 0

3 years ago

7) -6x + 6y=6<br> -6x + 3y=-12

Gre4nikov [31]

Answer:

(5,6)

Step-by-step explanation:

-6x+6y=6

-6x + 3y =-12

Multiply the first equation by -1

6x-6y=-6

Add this to the second equation

6x-6y=-6

-6x + 3y =-12

---------------------

-3y = -18

Divide each side by -3

-3y/-3 = -18/-3

y =6

Now we need to find x

6x - 6y = -6

6x -6(6) = -6

6x -36 = -6

Add 36 to each side

6x-36+36 = -6+36

6x = 30

Divide each side by 6

6x/6 = 30/6

x =5

3 0

4 years ago