Answer:
![n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7Br%7D%7B%5Csqrt%5Bnt%5D%7B%5Cfrac%7Ba%7D%7Bp%7D%7D%20-1%20%7D)
Step-by-step explanation:
![\sqrt[nt]{\frac{a}{p}} =(1+\frac{r}{n} )](https://tex.z-dn.net/?f=%5Csqrt%5Bnt%5D%7B%5Cfrac%7Ba%7D%7Bp%7D%7D%20%20%3D%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29)
![\sqrt[nt]{\frac{a}{p}} -1 =(\frac{r}{n} )](https://tex.z-dn.net/?f=%5Csqrt%5Bnt%5D%7B%5Cfrac%7Ba%7D%7Bp%7D%7D%20-1%20%3D%28%5Cfrac%7Br%7D%7Bn%7D%20%29)
[ Do not confuse, as there are 2 n's, one in subject and another as power. We can never make the power or in a root, the subject. In order to solve for n, we have to make the character "n", the subject. ]
The ratio is 6w = 4f.
Multiply both sides by 3/2 to get 6 cups of flour, and we have:
6*3/2 w = 4 * 3/2 f
18/2 w = 12/2 f
9 w = 6 f
So 9 cups of water.
Answer:
∠b=133°
∠c=47°
∠d=133°
Step-by-step explanation:
We are given with two lines intersecting at a point and thus forming 4 angles
∠a , ∠b ,∠c and ∠d
Here we must understand the properties of angles formed by two intersecting lines.
Supplementary Angles :
In our image following pairs are supplementary angles
∠a and ∠b
∠b and ∠c
∠c and ∠d
∠d and ∠a
the properties of supplementary angles say that their sum is 180°
Hence if ∠a=47°
∠a+∠b=180°
47°+∠b=180°
∠b=180°-47°
∠b=133°
Vertically opposite angles. When two lines intersects , they form two pairs of vertically opposite angles
here
∠a and ∠c
∠b and ∠d
are vertically opposite angles
The property says that they are equal.
Hence
if ∠a=47° , ∠c=47°
if ∠b=133° , ∠d=133°
Answer:
<h2>
37°</h2>
Step-by-step explanation:
AB is diameter.
Angle made by diameter on circumference is always 90°
Calculate the sum
Move constant to R.H.S and change its sign
Calculate the difference
Hope this helps..
Best regards!!
Answer:
3
Step-by-step explanation:
Volume of a cone
V = pi x r^2 x h/3
So plug in the values we have
30pi = pi x r^2 x 10/3
30 = r^2 10/3
9 = r^2
3 = r
