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Neporo4naja [7]
3 years ago
6

A children's roller coaster is limited to riders whose height is at least 30 inches and at most 48 inches. Write two inequalitie

s that represent the height h of riders for the roller coaster.
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
5 0

Answer:

h≤48   h≥30

Step-by-step explanation:

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Match each of the following complex numbers with its equivalent expression.
Yanka [14]

Answer:

Therefore

i^{110}=-1

i^{92}=1

i^{245}=i

i^{347}=-i

Step-by-step explanation:

Complex Number :

A complex number is a number that can be expressed in the form

a + bi

where a and b are real numbers, and

' i ' is called an imaginary number.

The value of i is given as

i=\sqrt{-1}

Squaring both the side we get

i^{2}=(\sqrt{-1})^{2}\\\therefore i^{2}=-1

Therefore on substituting we get

For i^110

i^{110}=(i^{2})^{55}=(-1)^{55}=-1

Similarly for i^92

i^{92}=(i^{2})^{46}=(-1)^{46}=1

Similarly for i^245

i^{245}=(i^{2})^{122}\times i=(-1)^{122}\times i=1\times i =i

Similarly for i^347

i^{347}=(i^{2})^{173}\times i=(-1)^{173}\times i=-1\times i =-i

Therefore

i^{110}=-1

i^{92}=1

i^{245}=i

i^{347}=-i

6 0
3 years ago
Beth is going to enclose a rectangular area in back of her house. the house wall will form one of the four sides of the fenced i
Alina [70]

The maximum possible area would have a length of 24 feet and width of 12 feet.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the length and y represent the width, hence:

Since beth has 48 ft fencing and cover 3 sides, hence:

x + 2y = 48  

x = 48 - 2y     (1)

Also:

Area (A) = xy

A = (48 - 2y)y

A = 48y - 2y²

The maximum area is at A' = 0, hence:

A' = 48 - 4y

48 - 4y = 0

y = 12 feet

x = 48 - 2(12) = 24

The maximum possible area would have a length of 24 feet and width of 12 feet.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
2 years ago
NO SCAM LINKS OR REPORT The length of a dollar bill is 6.14 inches. Which shows a way to represent the value of the 4 in this nu
Elden [556K]

Answer:

D.

Step-by-step explanation:

The 4 is in the hundredths place, so it represents 4 hundredths, or 4 x 1/100.

5 0
3 years ago
28x4 disruptive property
Degger [83]
112 is the answer to your question
3 0
3 years ago
The conference table top shown is the shape of two congruent trapezoids. The table top is wooden with a rectangular glass inset.
Papessa [141]
I think it’s 196? base 1 +base 2=28 radius is 7 but we need the whole thing so 7x2=14.
then multiply and then divide by 2 28X14= 392 divided by 2 = 196
7 0
3 years ago
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