Step-by-step explanation:
36A) AB = 4/ sin 30° = 4/ 0.5 = 8 cm
36B) AC = 4/ tan 30° = 4/ 0.577 = 6.9 cm
36C) BD = 4/sin 45° = 4/ 0.707 = 5.7 cm
36D) area of ∆ABC = ½×6.9×4= 13.8 cm²
36E) sin A = sin 30° = 0.5
Hello, there!
<span>Ten times a number is sixteen more than twice the number. Find the number.
Answer: 2
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Explanation:
</span>
First, let's write the equation.
Ten times a number -- 10x
16 more -- 10x - 16
Twice the number -- 2x
10x - 16 = 2x or 10x = 2x + 16
Let's use the first one: 10x - 16 = 2x
First, let's isolate the x to one side.
10x - 16 = 2x
-10x -10x
-16 = -8x
Now, let's multiply each side by -1 to make them positive
-16 = -8x
*-1 *-1
16 = 8x
Finally, let's divide each side by 8
16 = 8x
---- ----
8 8
Our answer is 2 = x
This means that the number is 2.
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
1.6 x 10^4
Step-by-step explanation:
(8/5) x 10^9-5
1.6 x 10^4
Answer:
B.
![{ \tt{f(x) = \sqrt[3]{x + 11} }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bf%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20%2B%2011%7D%20%7D%7D)
let the inverse of f(x) be m:
![{ \tt{m = \sqrt[3]{x + 11} }} \\ { \tt{ {m}^{3} = x + 11}} \\ { \tt{ {m}^{3} - 11 = x}} \\ { \tt{ {f}^{ - 1}(x) = {m}^{3} - 11 }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bm%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20%2B%2011%7D%20%7D%7D%20%5C%5C%20%7B%20%5Ctt%7B%20%7Bm%7D%5E%7B3%7D%20%20%3D%20x%20%2B%2011%7D%7D%20%5C%5C%20%7B%20%5Ctt%7B%20%7Bm%7D%5E%7B3%7D%20%20-%2011%20%3D%20x%7D%7D%20%5C%5C%20%7B%20%5Ctt%7B%20%7Bf%7D%5E%7B%20-%201%7D%28x%29%20%3D%20%20%7Bm%7D%5E%7B3%7D%20%20-%2011%20%7D%7D)
substitute for x in place of m:
Answer:
12
Step-by-step explanation:
The formula to find the area of a circle is:
Where "r" is the radius of the circle.
In this case, the radius is 2, and as per what is given in this problem (what the problem asks one to use), pi is rounded down to 3.
The equation will be:
3 * 2^2
Simplify, remember the order of operations:
3 * 4
12
