If a gymnasium is 80 feet long and 60 feet wide, what will the distance be between opposite corners

What percent is equivalent to 24/50 24% 48% 50% 52%

gizmo_the_mogwai [7]

Answer:

48%

Step-by-step explanation:

(24/50)2

= 48/100

= 48%

4 0

2 years ago

Which expression is the correct translation of the following word phrase?

Llana [10]

Hey, there!

The parentheses would make it multiplication
The word sum means add
A number was unknown, so we will label it as "x"

So, let's see what we're working with here!

If you chose "Option A" the question would be "five multiplied by a number and the sum of 3" (that doesn't give you the right answer"
For B. same thing with option A
For "Option C" its not asking you "a number with sum of three times five"

So, this leaves "Option D." as your answer because 3 is getting multiplied by the sum of some number and five

Good luck on your assignment and enjoy your day!

~MeIsKaitlyn:)

3 0

2 years ago

What is the square root of 95.54

vladimir2022 [97]

Well this is simple a calculator type problem...but if you are curious as the the algorithm used by simple calculators and such...

They use a Newtonian approximation until it surpasses the precision level of the calculator or computer program..

A newtonian approximation is an interative process that gets closer and closer to the actual answer to any mathematical problem...it is of the form:

x-(f(x)/(df/dx))

In a square root problem you wish to know:

x=√n where x is the root and n is the number

x^2=n

x^2-n=0

So f(x)=x^2-n and df/dx=2x so using the definition of the newton approximation you have:

x-((x^2-n)/(2x)) which simplifies further to:

(2x^2-x^2+n)/(2x)

(x^2+n)/(2x), where you can choose any starting value of x that you desire (though convergence to an exact (if possible) solution will be swifter the closer xi is to the actual value x)

In this case the number, n=95.54, so a decent starting value for x would be 10.

Using this initial x in (x^2+95.54)/(2x) will result in the following iterative sequence of x.

10, 9.777, 9.774457, 9.7744565, 9.7744565066299210578124802523397

The calculator result for my calc is: 9.7744565066299210578124802523381

So you see how accurate the newton method is in just a few iterations. :P

5 0

2 years ago

Find the inverse of the following function<br> f(x)= x+18

klasskru [66]

Answer:

f^-1(x) = x - 18

Step-by-step explanation:

y = x + 18

x = y + 18

x - 18 = y

f^-1(x) = x - 18

6 0

2 years ago

If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___

JulsSmile [24]

Answer:

a) y-intercept of AB is 56/5

b) equation of line CD is:

y = -7/5x + 12

Step-by-step explanation:

a) If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___

We are given the points A(8,0) and point B (3,7)

We need to find y-intercept i.e b

Finding slope of points A and B = y₂ - y₁/x₂ - x₁

=7-0/3-8

=7/-5

= - 7/5

So, finding y intercept b by using equation

y = mx+b

And considering point A (8,0) x = 8 and y = 0 and m = -7/5

0 = 8(-7/5) + b

0 = -56/5 + b

=> b = 56/5

So, y-intercept of AB is 56/5

b) If the coordinates of point D are (5 , 5), the equation of line CD is y = __

Since AB || CD

both will have same slope

i.e m = -7/5

we need to find y-intercept given point D (5,5)

y = mx+b

5 = -7/5(5)+b

5 = -7 + b

=> b = 5+7

=> b = 12

So, equation of line CD is:

y = -7/5x + 12

9 0

2 years ago