Answer:
About $2.89
Step-by-step explanation:
You take $2.75 and multiply that to 5% or convert it to 0.05 because you have to turn the sign into a decimal and always move it two places over making 0.05. After you multiply $2.75 x 0.05, you should get 0.1375 and then you add that to 2.75 and get 2.8875 and then round it to get $2.89.
Answer:
The reasons are given below.
Step-by-step explanation:
In triangle ΔAXC and ΔBXC, we are given that angles 3 and 4 are right angles and AX = BX. we have to match the reasons in the given proof of congruency of triangles △AXC ≅ △BXC
In ΔAXC and ΔBXC,
AX=BX (Given)
∠3 = ∠4 = 90° (both right angles)
CX=CX (Common i.e reflexive property of equality)
Hence by SAS similarity theorem ΔAXC ≅ ΔBXC
hence, the above are the reasons of the statements in given proof.
Answer:
if ur asking what slope-intercept form is, its y = mx + b where y is the y-coordinate, m is the slope, x is the x-coordinate, and b is the y-intercept
Step-by-step explanation:
Answer:
![\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7B1%7D%7B2%7DA%29%20%3D%20%7B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
Step-by-step explanation:
Given
![\cos A = \frac{1}{2}](https://tex.z-dn.net/?f=%5Ccos%20A%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
Required
Determine ![\cos(\frac{1}{2}A)](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7B1%7D%7B2%7DA%29)
To do this, we make use of the following identity
![\cos(\frac{1}{2}A) = \sqrt{\frac{\cos A+1}{2}}](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7B1%7D%7B2%7DA%29%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Ccos%20A%2B1%7D%7B2%7D%7D)
Substitute: ![\cos A = \frac{1}{2}](https://tex.z-dn.net/?f=%5Ccos%20A%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
![\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{1}{2}+1}{2}}](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7B1%7D%7B2%7DA%29%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%2B1%7D%7B2%7D%7D)
Solve the numerator
![\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{2+1}{2}}{2}}](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7B1%7D%7B2%7DA%29%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Cfrac%7B2%2B1%7D%7B2%7D%7D%7B2%7D%7D)
![\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{3}{2}}{2}}](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7B1%7D%7B2%7DA%29%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Cfrac%7B3%7D%7B2%7D%7D%7B2%7D%7D)
Rewrite as:
![\cos(\frac{1}{2}A) = \sqrt{\frac{3}{2} * \frac{1}{2}}](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7B1%7D%7B2%7DA%29%20%3D%20%5Csqrt%7B%5Cfrac%7B3%7D%7B2%7D%20%2A%20%5Cfrac%7B1%7D%7B2%7D%7D)
![\cos(\frac{1}{2}A) = \sqrt{\frac{3}{4}}](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7B1%7D%7B2%7DA%29%20%3D%20%5Csqrt%7B%5Cfrac%7B3%7D%7B4%7D%7D)
Take square roots
![\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7B1%7D%7B2%7DA%29%20%3D%20%7B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)