Answer:
a ≤ 17
Step-by-step explanation:
25 ≥ 2a -9
To solve the equation above, we are going to follow the step below;
First, we will add 9 to both-side of the inequality
25 ≥ 2a -9
25 +9 ≥ 2a -9 + 9
34 ≥ 2a
To get the value of a, we will divide both-side of the inequality by 2
34/2 ≥ 2a/2
(On the right-hand side of the inequality, the 2 at the numerator will cancel-out the 2 at the denominator while on the left-hand side of the equation 34 will be divided by 2)
34/2 ≥ a
17 ≥ a
which implies: a ≤ 17
Answer:
Area: 28.26ft², Circumference: 18.84ft
Step-by-step explanation:
Area of a circle: πr²
Circumference of a circle: πd (or 2πr)
Since the diameter is 6ft, then the radius is half of that, which is 3ft. This means that our area is:
πr²
π(3)²
π(9)
9π
9(3.14)
28.26ft²
Our circumference is:
πd
π(6)
6π
6(3.14)
18.84 ft
Answer:
C 
Step-by-step explanation:
First use the property of logarithms
For the given expression you get
![\log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2+8} }=\log_w(x^2-6)^4-\log_w\sqrt[3]{x^2+8}=\log_w(x^2-6)^4-\log_w(x^2+8)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Clog_w%5Cdfrac%7B%28x%5E2-6%29%5E4%7D%7B%5Csqrt%5B3%5D%7Bx%5E2%2B8%7D%20%7D%3D%5Clog_w%28x%5E2-6%29%5E4-%5Clog_w%5Csqrt%5B3%5D%7Bx%5E2%2B8%7D%3D%5Clog_w%28x%5E2-6%29%5E4-%5Clog_w%28x%5E2%2B8%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Now use property of logarithms
For your simplified expression, you get
Answer:
4 and 10 - acute
2 is acute, but 3 is obtuse
8 and 12 - acute
6 and 12 - acute
1 is obtuse 2 is acute
15 and 11 are obtuse
9 is obtuse but 8 is acute
2 and 4 are acute.
Step-by-step explanation:
I believe this is correct.
A right angle is a perfect corner. Think of a square and look at the corner, it doesn't go farther or shorter when it hits a side if you know what I mean by that. An acute angle is shorter than a right angle, or stops before it can be called a right angle. An obtuse angle is bigger than a right angle, or ends after the right angle point. I hope what I have just said here helps you with future problems!! Good luck :))
