Answer: The correct answer is option C; 90√2
Step-by-step explanation: The line segments are labelled as base 1, base 2 and base 3 respectively. This we shall call point 1, point 2 and point 3. These three points form a right angle. Also we have been told that Marcus is on point 3 and Jean is on point 2. They are both 90 feet apart. Also Joel is on point 1 and he is 90 feet away from Jean. The unmeasured distance therefore is from point 1 to point 3, which is the distance from Joel to Marcus (or Marcus to Joel).
The distance from point 1 to point 3 is the hypotenuse of the right angled triangle derived. Using the Pythagoras' theorem, the distance from Joel to Marcus (or JM) is calculated as follows;
JM² = JC² + JL²
Where JM is the distance between Joel and Marcus (hypotenuse), JC is the distance from Jean to Marcus and JL is the distance from Jean to Joel.
JM² = 90² + 90²
JM² = 8100 + 8100
JM² = 16200
Add the square root sign to both sides of the equation
√JM = √16200
JM = √100*√81*√2
The right hand side of the equation can be further solved as
JM = 10*9*√2
JM = 90√2
Therefore the distance between Marcus and Joel is calculated as 90√2 feet
Answer:
3072
Step-by-step explanation:
<u>General form of a geometric sequence</u>:
where:
is the nth term- a is the first term
- r is the common ratio
Given values:
- first term, a = 3
- common ratio, r = 4
Substitute the given values into the formula to create an <u>equation for the nth term</u>:
To find the 6th term, substitute n = 6 into the equation:
Therefore, the 6th term of a geometric sequence whose 1st term is 3 and whose common ratio is 4 is 3072.
Learn more about geometric sequences here:
brainly.com/question/27783194
Answer: -7
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
21x 3 times 7 would give you 21 and then add the x
Let, the length of garden = l
Perimeter(P) = 2(l+w)
42 = 2(l+6)
42 = 2l + 12
2l = 42 - 12
l = 30/2
l = 15
So, the length would be 15 meter
Hope this helps!
