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3 years ago

Why is the inequality x≤6 equivalent to the inequality x−5≤6−5

Mathematics

1 answer:

Monica [59]3 years ago

8 0

Two inequalities are equivalent if they have the same set of solutions.

x - 5 ≤ 6 - 5

x - 5 ≤ 1 |add 5 to both sides

x ≤ 6

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A Ferris wheel rotates 9π/8 radians prior to making a stop. The total height of the Ferris wheel is 246 ft. How far around did t

WARRIOR [948]

Answer:

The ferris wheel travelled 434.717 ft.

Step-by-step explanation:

Assuming that the ferris wheel is a perfect circle, then it's height is the same as the diameter of the circle, therefore it's radius is:

radius = height/2 = 246/2 = 123 ft

The distance travelled by the ferris wheel is the same as the length of the arc created by a angle of (9pi/8). The length of an arc is given by:

length = r*(angle in radians)

length = 123*(9pi/8)

length = 434.717 ft

The ferris wheel travelled 434.717 ft.

5 0

3 years ago

Graph the linear function using the slope and y-intercept.<br> y=1/3x+3

hammer [34]

Answer:

Graphed this on desmos, hope it helped!!

Step-by-step explanation:

8 0

2 years ago

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Svetradugi [14.3K]

Since 4 is between 2 & 5 you input it into the middle equation.

x=4

so the answer is 4!

7 0

3 years ago

What happens to the value of the expression 5/x+5 as x decreases from a large positive number to a small positive number?

Tresset [83]

option 2. it increases

because as x decrease 5/x will increase which will overall increase the expression value

6 0

3 years ago

Can someone help me out?

stira [4]

Answer:

40 degrees

Step-by-step explanation:

A triangle solver tool can find the angle easily. It is 39.8°, which rounds to 40°. Apps are available on some calculators, on the Internet, and for iOS and Android phones and tablets.

___

You may be expected to solve this using the Law of Cosines. If we name the sides ...

a = 1.75
b = 3.00
c = 2.00

the law of cosines tells us the relationship is ...

c² = a² + b² -2ab·cos(θ)

Then the angle is ...

θ = arccos((a² +b² -c²)/(2ab)) = arccos((3.0625 +9 -4)/(2·1.75·3))

= arccos(8.0625/10.5) ≈ 39.838° ≈ 40°

4 0

2 years ago