Step-by-step explanation:
Here
BC=P=10
AC=B=b
AB=H=15
then using fourmula
h^2= p^2+ b^2
b^2= 15×15 - 10× 10
b^2= 125
b=11.2
They must be complementary. these 2 angles MUST equal 90 degrees because there is a right angle that is 90 degrees in the triangle already and all triangles have an angle sum of 180 degrees. the answer is complementary
5x(4x^3 + 3x - 2)
There’s a 5 and a x common.
Answer:
6 ≤ x ≤ 12
Step-by-step explanation:
Instead of solving the area as 1.5*4x, you would do 6*x (multiply 1.5 by 4 and divide 4x by 4).
Then, you can just use division to find the answer.
36/6=6
72/6=12
And since 36≤A≤72, the area can be any number between 36 and 72, so x can be any number between 6 and 12.
Answer:
-5n + 8
Step-by-step explanation:
<u>1. What is the difference?</u>
The sequence goes down by 5. This means that the formula will have -5n in it.
<u>2. Work out the term before the first term.</u>
The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.
3 + 5 = 8 Remember, this is positive 8. (+8)
<u>3. Put that term at the end of the equation. </u>
We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.
-5n + 8 This is our answer!
Just to prove it works:
<em>Substitute: n = term</em>
Lets see if we can get the 3rd term which is -7. (n = 3)
-5(3) + 8
-15 + 8 = -7
See, it works!