Two cars start from the same place driving at the same rate, one heading north and the other heading east. After two hours the car heading north has traveled 150 miles and the car heading east has traveled 100 miles. How far apart are the cars at this time?
Answers
Answer:
180.2776 miles
Step-by-step explanation:
Given that two cars start from the same place.
One car is heading towards north and another east.
that means the two cars travel path make 90 degrees at the origin.
Imagine the triangle with one vertex at the starting place right angled at 90 and other two vertices are the locations of the two cars.
We find this triangle has legs of 150 miles and 100 miles respectively.
The distance between the two cars = length of the hypotenuse of the right triangle with legs 150 and 100 miles
= √(150^2)+100^2 (Using Pythagorean theorem)
= √32500
= 180.2776 miles
Answer:
they are 250 miles apart
|150|+|-100|=250
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at a restaurant the ratio of kids meals sold to adults meal was 5:4. if there were 20 kids meals sold, what is the combined amount of kids and adults sold meals sold?
Allen is traveling 65 MPh. how many hours will it take for him to travel 585 miles?
Answers
$
2 years elapsed.
hope this helps!
Answer:
2 years
Step-by-step explanation:
Given : A $1,500 loan has an annual interest rate of 4 1/4% on the amount borrowed.
To Find : How much time has elapsed if the interest is now $127.50?
Solution :
Formula of simple interest : principal *rate *time
Principal = $1,500
Rate (in decimals )
Time (in years)
Simple interest = $127.50
Putting values in formula
$127.50 = 1500*0.0425*time
127.50 = 63.75*time
= time
2 years = time
Thus time will be 2 years
Answers
100% - 40% = 60%
x ... the original price
60% of x is 375
60% * x = 375
60/100 * x = 375
x = 375 * 100 / 60
x = 625
The original price was 625.
B. $500 billion
C. $950 billion
D. $450 billion
Answers
Answer:
a sorry if not right
Step-by-step explanation:
B (-2,0)
C (0,2)
D (2,4)
Answers
Answer:
Option C is correct .i.e., ( 0 , 2 )
Step-by-step explanation:
We are given with a graph.
To find: Interval of local maximum
We can clearly see from graph that there is only one point of maximum.
Point of maximum is ( 1.55 , 10.8 )
Option A:
Interval is ( -3 , -2 ) means x > -3 & x < -2
but this interval does not contain x-coordinate of point of Maximum.
Thus, this option is incorrect
Option B:
Interval is ( -2 , 0 ) means x > -2 & x < 0
but this interval does not contain x-coordinate of point of Maximum.
Thus, this option is incorrect
Option C:
Interval is ( 0 , 2 ) means x > 0 & x < 2
Here, this interval contain x-coordinate of point of Maximum.
Thus, this option is correct
Option D:
Interval is ( 2 , 4 ) means x > 2 & x < 4
but this interval does not contain x-coordinate of point of Maximum.
Thus, this option is incorrect
Therefore, Option C is correct.
C it contains the highest y value
Answers
How to find a unit rate...
50 miles / 5 hours ÷ 5 (divide by the denominator) = 10 miles/1 hour
10 miles / 1 hour is a unit rate.
HOPE THIS HELPED :)
Answers
This equation is not possible, which means there is no solution that satisfies the given statement.
Let's break down the given statement:
"One less than three times a number" can be represented as (3x - 1), where x represents the unknown number.
"Is" implies equality.
"Two less than three times the number" can be represented as (3x - 2).
Putting it all together, we have the equation:
3x - 1 = 3x - 2
To solve this equation, we'll isolate x on one side of the equation:
3x - 3x = -2 + 1
0x = -1
Since any number multiplied by zero is zero, we have:
0 = -1
This equation is not possible, which means there is no solution that satisfies the given statement.
An equation is a mathematical statement that expresses the equality of two quantities or expressions. It consists of mathematical symbols, such as numbers, variables, and mathematical operations, connected by an equals sign (=). Equations are used to represent relationships between variables and to solve problems in various branches of mathematics and science.
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