Answer:
D.
is the correct answer.
Step-by-step explanation:
The given situation can be represented as a figure attached in answer area.
B is the base of tree.
C is the base of wires.
A and D are the end of 2 wires supporting the tree.
![\angle DCB =45^\circ\\\angle ACB =75^\circ\\](https://tex.z-dn.net/?f=%5Cangle%20DCB%20%3D45%5E%5Ccirc%5C%5C%5Cangle%20ACB%20%3D75%5E%5Ccirc%5C%5C)
Here, we need to find the Height of the tree which is represented the by side AB.
and we are given that bases of wires and tree base are at a distance 4 ft.
i.e. side BC = 4 ft
If we look at the
, we are given the base BC and the
, and the perpendicular is to be find out.
We can use trigonometric identity:
![tan\theta =\dfrac{Perpendicular}{Base}](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%5Cdfrac%7BPerpendicular%7D%7BBase%7D)
![tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft](https://tex.z-dn.net/?f=tan%2075%5E%5Ccirc%20%3D%20%5Cdfrac%7BAB%7D%7BBC%7D%5C%5C%5Cbold%20%7Btan%20%2845%2B30%29%5E%5Ccirc%20%7D%3D%20%5Cdfrac%7BAB%7D%7B4%7D%5C%5C%5CRightarrow%20AB%20%3D%20%5Cbold%20%7Btan%20%2845%2B30%29%5E%5Ccirc%20%7D%20%5Ctimes%204%20%3D%2014.93%5C%20ft)
Hence, D.
is the correct answer.
15*0.07= 1.05 so 7% of 15 is 1.05. we add this to the total so 7% tax is going to be a price of $16.05
Answer:
0.0313
Step-by-step explanation:
Given that in the shipment of 71 vials, only 13 do not have hairline cracks
Probability of not having a hairline cracks = ![\frac{13}{71}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B71%7D)
If you randomly select 2 vials from the shipment
(Probability of not having a hairline cracks)' =
= ![\frac{12}{70}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B70%7D)
what is the probability that none of the 2 vials have hairline cracks.
i.e ![(\frac{13}{71}) * (\frac{12}{70})](https://tex.z-dn.net/?f=%28%5Cfrac%7B13%7D%7B71%7D%29%20%2A%20%28%5Cfrac%7B12%7D%7B70%7D%29)
= 0.183 × 0.171
= 0.0313
Hence, the probability that none of the 2 vials have hairline cracks = 0.0313
It cost $156.40 because 20% of 195.50 is $39.10 so you subtract that from the 195.50.
Answer: B) 3+y+3
This can be simplified to y+6, but the current un-simplified expression has 3 terms.
======================================
Explanation:
Terms are separated by a plus sign. If you had something like 10x-5y, then you would write that as 10x+(-5y) showing that 10x and -5y are the two terms.
Choices A and C, xy and 6y respectively, have one term each. They are considered monomials. Mono = one, nomial = name.
Choice D is the product of the constant 3 and the binomial y+3. Binomials have two terms.
Only choice B has three terms, though we can simplify it down to two terms. I have a feeling your teacher doesn't want you to simplify it.