Answer:
=64.5
Step-by-step explanation:
6x .5x5x4.3=64.5
The best estimate would be D: 331 km
Answer:
The number of cats an frogs
Step-by-step explanation:
For some reason the equation has (c+f) grouped off from the rest, since in an equation the first step is to take care of things in the parentheses, first you must add the two together, and based on the description, you know that c is the number of cats and f is the number of frogs. Therefore adding them together would get the total number of cats and frogs.
To find the decimal you divide the number on the top of the fraction by the number on the bottom of the fraction. so...:
258/300=0.86
now, to find the percent, you simply convert the decimal:
0.86 represents 86 hundredths (which is the second place after the decimal point)
which can also be stated at 86%
Option C:
x = 90°
Solution:
Given equation:
![\sin x=1+\cos ^{2} x](https://tex.z-dn.net/?f=%5Csin%20x%3D1%2B%5Ccos%20%5E%7B2%7D%20x)
<u>To find the degree:</u>
![\sin x=1+\cos ^{2} x](https://tex.z-dn.net/?f=%5Csin%20x%3D1%2B%5Ccos%20%5E%7B2%7D%20x)
Subtract 1 + cos²x from both sides.
![\sin x-1-\cos ^{2} x=0](https://tex.z-dn.net/?f=%5Csin%20x-1-%5Ccos%20%5E%7B2%7D%20x%3D0)
Using the trigonometric identity:![\cos ^{2}(x)=1-\sin ^{2}(x)](https://tex.z-dn.net/?f=%5Ccos%20%5E%7B2%7D%28x%29%3D1-%5Csin%20%5E%7B2%7D%28x%29)
![\sin x-1-\left(1-\sin ^{2}x\right)=0](https://tex.z-dn.net/?f=%5Csin%20x-1-%5Cleft%281-%5Csin%20%5E%7B2%7Dx%5Cright%29%3D0)
![\sin x-1-1+\sin ^{2}x=0](https://tex.z-dn.net/?f=%5Csin%20x-1-1%2B%5Csin%20%5E%7B2%7Dx%3D0)
![\sin x-2+\sin ^{2}x=0](https://tex.z-dn.net/?f=%5Csin%20x-2%2B%5Csin%20%5E%7B2%7Dx%3D0)
![\sin ^{2}x+\sin x-2=0](https://tex.z-dn.net/?f=%5Csin%20%5E%7B2%7Dx%2B%5Csin%20x-2%3D0)
Let sin x = u
![u^2+u-2=0](https://tex.z-dn.net/?f=u%5E2%2Bu-2%3D0)
Factor the quadratic equation.
![(u+2)(u-1)=0](https://tex.z-dn.net/?f=%28u%2B2%29%28u-1%29%3D0)
u + 2 = 0, u – 1 = 0
u = –2, u = 1
That is sin x = –2, sin x = 1
sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.
sin x = 1
The value of sin is 1 for 90°.
x = 90°.
Option C is the correct answer.