The answer is 41 miles

Imagine the diagonal distance is called c
Using Pythagorean theorem 40^2 + 9^2 = c^2
1600 + 81 = c^2
The square root of 1681 is 41
So c = 41

8 0

2 years ago

Given: PRST square

yuradex [85]

There is no difficulty in this problem until you construct the figures. How can we do it is shown in the attached picture. After drawing PRST, from the point P, we can draw PMKD and later we can complete PMCT as a result. From this picture, we can see that the side of PMCT is also a. Then, the area of this square is $A=a^{2}$

6 0

2 years ago

Kaylee and Olivia go to the movie theater and purchase refreshments for their friends.

KatRina [158]

The price of one bag of popcorn is $3.75

Step-by-step explanation:

Let,

x represent the cost of a bag of popcorn

y represent the cost of a drink.

According to given statement;

4x+12y=30 Eqn 1

x+6y=11.25 Eqn 2

Multplying Eqn 2 by 2

$2(x+6y=11.25)\\2x+12y=22.50\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 1

$(4x+12y)-(2x+12y)=30-22.50\\4x+12y-2x-12y=7.50\\2x=7.50$

Dividing both sides by 2

$\frac{2x}{2}=\frac{7.50}{2}\\x=3.75$

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.

The price of one bag of popcorn is $3.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

3 0

3 years ago