Answer: His temperature is 99°F
Step-by-step explanation:
Let's state what we know:
Steve's temperature was initially 102°F
Later it dropped 3°F lower
Since his temperature decreased we need to subtract 3 from 102 to see what his temperature is now
102-3=99
Answer:
Step-by-step explanation:
C(3 , -2) & D (7, -8)
Distance = ![\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D)
![CD = \sqrt{(7-3)^{2}+(-8-(-2))^{2}}\\\\=\sqrt{(7-3)^{2}+(-8+2)^{2}}\\\\=\sqrt{(4)^{2}+(-6)^{2}}\\\\=\sqrt{16+36}\\\\=\sqrt{52}\\\\](https://tex.z-dn.net/?f=CD%20%3D%20%5Csqrt%7B%287-3%29%5E%7B2%7D%2B%28-8-%28-2%29%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%287-3%29%5E%7B2%7D%2B%28-8%2B2%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%284%29%5E%7B2%7D%2B%28-6%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B16%2B36%7D%5C%5C%5C%5C%3D%5Csqrt%7B52%7D%5C%5C%5C%5C)
≈ 7.2 units
P = 2a + b
10= 2a + 3
2a = 10-3
a = 7/2 = 3.5
Therefore, numerical value of a is 3.5
The numbers are 15,18
They add to 33 and a difference of 3
ANSWER
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
EXPLANATION
The frequency of a wave function refers to the number of times the graph repeats its cycle within the interval [0,2π]
We can observe explicitly from the graph that the frequency is half.
The period of the given function is 4π
![\frac{2\pi}{b} = 4\pi](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%5Cpi%7D%7Bb%7D%20%3D%204%5Cpi)
![b = \frac{2\pi}{4\pi} = \frac{1}{2}](https://tex.z-dn.net/?f=b%20%3D%20%20%5Cfrac%7B2%5Cpi%7D%7B4%5Cpi%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Hence the frequency is half.