Answer:
7.8 cm and 25.3 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² + 7² = 10.5²
?² + 49 = 110.25 ( subtract 49 from both sides )
?² = 61.25 ( take the square root of both sides )
? = 
≈ 7.8 cm ( to 1 dec. place )
Then
P = 10.5 + 7 + 7.8 = 25.3 cm
Step-by-step explanation:
The position of the mouse at time t is 4 + 12t.
The position of the cat at time t is 17t.
When the positions are equal:
4 + 12t = 17t
4 = 5t
t = 0.8
It takes 0.8 seconds.
Answer:
87+87+81+86+89+83+89= 602. Divided by 7 because that’s how many numbers there were is 86 and that is your mean/average.
we are given
Firstly, we will find all possible factors of 144
we can also write as
now, we can put exponent to over entire term
now, we can replace 144
now, sqrt will get cancelled with square
and we get
now, we can simplify it
.............Answer
We call x the 4 points-worth problems and y the 3 points-worth problems
You know that x+y = 32
4x+3y = 111
You know that the difference from the x and y is 32 so write:
x = 32-y
Substitute at x the value of 32-y
4(32-y)+3y = 111
128-4y +3y = 111
-4y+3y = 111-128
-y = -17
y = 17
