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yuradex [85]
2 years ago
12

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the se

t of heights that satisfy this requirement?
A number line going from 50 to 58. An open circle is at 53. Everything to the right of the circle is shaded.
A number line going from 50 to 58. An open circle is at 54. Everything to the right of the circle is shaded.
A number line going from 50 to 58. A closed circle is at 54. Everything to the right of the circle is shaded.
A number line going from 50 to 58. A closed circle is at 55. Everything to the right of the circle is shaded.
Mathematics
2 answers:
Gre4nikov [31]2 years ago
3 0

Given:

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster.

To find:

The graph that represents the set of heights that satisfy this requirement.

Solution:

Let x be the height required for the ride.

Guests must be at least 54 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 54.

x\geq 54

So, 54 and all values above 54 are in the solution set.

Since, 54 is included in the solution set, therefore there is a closed circle at 54. All values above 54 are in the solution set, so everything to the right of the circle is shaded.

Therefore, the correct option is C.

ivann1987 [24]2 years ago
3 0

Answer:

c

Step-by-step explanation:

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romanna [79]

Answer:

210° , 330°

Step-by-step explanation:

using the sides of the 30- 60- 90 triangle

with legs 1, \sqrt{3} and hypotenuse 2 , then

sin^{-1} \frac{1}{2} = 30° ← related acute angle

since sin^{-1} - \frac{1}{2}

then angle is in third / fourth quadrants , then required angles are

180° + 30° = 210° ← in third quadrant

360° - 30° = 330° ← in fourth quadrant

6 0
2 years ago
(b) Solve and write the solution set<br>for: 3x -8&lt;7 ; XEN<br>​
bekas [8.4K]

Answer:

x=5is greater than 7

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6 0
3 years ago
Use f’( x ) = lim With h ---&gt; 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²
beks73 [17]
<h2>Answer:</h2>

The derivative of the function f(x) is:

                 f'(x)=-2x

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

f(x)=5-x^2

We have:

f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)

( Since,

(a+b)^2=a^2+b^2+2ab )

Hence, we get:

f(x+h)=5-x^2-h^2-2xh

Also, by using the definition of f'(x) i.e.

f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}

Hence, on putting the value in the formula:

f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x

      Hence, the derivative of the function f(x) is:

          f'(x)=-2x

3 0
3 years ago
Read 2 more answers
What value of x makes this equation true?
UkoKoshka [18]

Answer:

The correct answer is D

Step-by-step explanation:

-190 + -100 = -290

190 + -100 = 90

-10 + -100 = -110

10 + -100 = 90

✩brainliest appreciated✩

8 0
2 years ago
Read 2 more answers
What is the radius of a circle if the area is 78.5 cm^2
Verizon [17]
78.5= (3.14)r^2
25=r^2
5=r
So, the radius of a circle with an area is 78.5 cm^2 is 5 cm^2
3 0
3 years ago
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