Hence if we covert 28,500,000 in scientific notation and write in the form
then x is equal to 7.
What is scientific notation?
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Given number is 28500000
we can write 28500000 as
![285\times100000](https://tex.z-dn.net/?f=285%5Ctimes100000)
or we can write it as
![2.85\times10000000](https://tex.z-dn.net/?f=2.85%5Ctimes10000000)
and now we can write it in Scientific notation form as
![2.85\times10^7](https://tex.z-dn.net/?f=2.85%5Ctimes10%5E7)
So x=7
Hence if we covert 28,500,000 in scientific notation and write in the form
then x is equal to 7.
To learn more about scientific notation visit : brainly.com/question/5756316
Answer:
x =
and y = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)
Step-by-step explanation:
Applying the trigonometric functions to the given triangle;
i. To determine the value of x;
Sin θ = ![\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
Sin 45 = ![\frac{x}{16}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B16%7D)
x = 16 * Sin 45
= 16 * ![\frac{1}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D)
x = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)
ii. To determine the value of y;
Cos θ = ![\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
Cos 45 = ![\frac{y}{16}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B16%7D)
y = 16 * Cos 45
= 16 * ![\frac{1}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D)
y = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)
Thus, x =
and y = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)
<u>Given</u>:
Given that the radius of the cone is 10 cm.
The height of the cone is 25 cm.
We need to determine the volume of the cone.
<u>Volume of the cone:</u>
The volume of the cone can be determined using the formula,
![V=\frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
where r is the radius and h is the height of the cone.
Substituting r = 10 and h = 25, we get;
![V=\frac{1}{3}(3.14)(10)^2(25)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%2810%29%5E2%2825%29)
Simplifying, we have;
![V=\frac{1}{3}(3.14)(100)(25)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%28100%29%2825%29)
Multiplying, we get;
![V=\frac{1}{3}(7850)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%287850%29)
Dividing, we get;
![V=2616.67 \ cm^3](https://tex.z-dn.net/?f=V%3D2616.67%20%5C%20cm%5E3)
Thus, the volume of the cone is 2616.67 cubic cm.
Hence, Option c is the correct answer.
Answer:
A
Step-by-step explanation:
The points are similar