B. 3ft, 4ft, 5ft
Pythagoras' Theorem where the square of the two smaller sides added together equals the square of the hypotenuse. If the two smaller sides are 3 and 4 then the hypotenuse is always going to be 5
The probability that a student is in seventh grade, given that he/she is dropped off by parents is <u>option C)</u> 0.22
<u>Step-by-step explanation</u>:
- The total probability of students in 7th grade = 0.56
- The probability of 7th grade students dropped by parents = 0.12
P(student is in 7th grade student is in seventh grade) = P(students in 7th grade) / P(7th grade students dropped by parents).
⇒ 0.12/0.56
⇒ 0.22
<u>Answer</u>:
Therefore has one solution.
<u>explanation</u>:
Given equations:
6x + y = -7
-24x -7y = 25
Make y the subject:
6x + y = -7
y = -7 - 6x ..............equation 1
-24x -7y = 25
-7y = 25 + 24x
y = (25 + 24x)/-7 ..........equation 2
Solve them simultaneously:
(25 + 24x)/-7 = -7 - 6x
25 + 24x = -7 (-7 - 6x)
25 + 24x = 49 + 42x
42x - 24x = 25- 42
18x = -24
x =
Then y is:
y = -7 - 6x
y = -7 - 6( )
y = 1
Has one separate value of x and y: ( , 1 ); so it has one solution.
Answer:
60.00 in^2
Step-by-step explanation:
First focus on the area ABOVE the dotted line. The shape here is that of a trapezoid. The two leg lengths are 12 in and 18 in (18 in is the diameter). At the far right of this trapezoid we can picture a triangle of base 3 in, height h and hypotenuse 5 in. Using the Pythagorean Theorem, we get h = 4 in.
This 4 in measurement is the width of the trapezoid. Thus, we are now ready to apply the formula for the area of a trapezoid: A = (average length of legs)*(width).
Here that area comes out to
12 in + 18 in
A = --------------------- * 4 in = 15 in*4in = 60 in^2, or (to the nearest hundredth)
2 60.00 in^2
Step-by-step explanation:
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