Answer:
D. 4in, 12in
Step-by-step explanation:
Area of triangle = 24in²
Unknown:
Base and height of the triangle = ?
Solution:
The area of a triangle =
x base x height
From the problem,
base =
x height
let the base = b
height = h
b =
h
h = 3b
Input into the formula of area;
24 =
x b x 3b
Mulitply through by 2;
48 = 3b²
b² = 16
b = √16 = 4
So, h = 3b= 3 x 4 = 12in
Answer:
Option A: -12x-8=10 is the correct answer.
Step-by-step explanation:
Given equation is:
-4 (3x+2) = 10
We will distribute the equation by multiplying the terms inside the brackets with -4.
Therefore,
-4*3x + 2*-4 = 10
-12x +(-8) = 10
-12x - 8 = 10
The equation -4 (3x+2) = 10 will become -12x-8=10 after distributing.
Hence,
Option A: -12x-8=10 is the correct answer.
answer:
distribute
step-by-step explanation:
7(x+2)
7(x)=7x
7(2)= 14
7x+14
Answer:
√20 or 4.47 ish
Step-by-step explanation:
√(1--3)²+(-2--4)²
√(1+3)²+(-2+4)²
√(4)²+(2)²
√16+4
√20
4.47 ish
(Hopefully this is correct, have a nice day!)
Answer:

Step-by-step explanation:
Let,
= y
sin(y) = 


---------(1)


cos(y) = 
= 
= 
Therefore, from equation (1),

Or ![\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Ctext%7Bsin%7D%5E%7B-1%7D%28%5Cfrac%7Bx%7D%7B6%7D%29%5D%3D%5Cfrac%7B1%7D%7B6%5Csqrt%7B1-%5Cfrac%7Bx%5E2%7D%7B36%7D%7D%7D)
At x = 4,
![\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Ctext%7Bsin%7D%5E%7B-1%7D%28%5Cfrac%7B4%7D%7B6%7D%29%5D%3D%5Cfrac%7B1%7D%7B6%5Csqrt%7B1-%5Cfrac%7B4%5E2%7D%7B36%7D%7D%7D)
![\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Ctext%7Bsin%7D%5E%7B-1%7D%28%5Cfrac%7B2%7D%7B3%7D%29%5D%3D%5Cfrac%7B1%7D%7B6%5Csqrt%7B1-%5Cfrac%7B16%7D%7B36%7D%7D%7D)



