pringlexavier798
13.04.2020 •
Mathematics
Represent 16/5 and -3/5 on the no.line
Solved
Show answers
More tips
- H Health and Medicine What are Electronic Cigarettes? The Ultimate Guide...
- C Computers and Internet How to Get Rid of 3pic Infector: Everything You Need to Know...
- A Auto and Moto Experience the World of the Most Expensive Cars on the Planet...
- S Style and Beauty How to Get Rid of a Double Chin?...
- F Food and Cooking How to Cook Julienne? Recipes and Tips...
- D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
- F Food and Cooking Apple Cider Vinegar: The Ultimate Health and Beauty Solution...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
Answers on questions: Mathematics
- M Mathematics For the following parameterized curve, find the unit tangent vector at the given value of t. r(t) = 15 t ,10 , 3/t for 20 t 2, t = 1...
- M Mathematics What is the area of the right triangle formed by joining the vertices P(1, -2), Q(4, 1), and R(6, -1)? A. 12 square units B. 5\sqrt{26} square units C. 6 square units...
- M Mathematics Recall the following definitions from section 4.2 of the text. The probability is a numerical measure of the likelihood that a specific event will occur. The classical...
- M Mathematics Suppose f(x)=3x+5. describe how the graph of each function compares to f. 1) g(x)=f(x)+12 2) h(x)=f(x)-7 3) g(x)=f(x=8) 4) h(x)=f(x-14) 5) g(x)=4f(x) 6) g(x)=f(5x)...
- M Mathematics For which intervals below is the average rate of change less than or equal to zero? Interval A -13 ≤ x ≤ -10 B -5 ≤ x ≤ 0 C -10 ≤ x ≤ -2 Intervals A and B only Interval...
- M Mathematics Find the value of x of this shape...
- M Mathematics The lifespan of gorillas in a particular zoo are normally disributed the average gorilla lives 16 years the standard deviation is 1.7 years use the empirical rule 68-95-99.7...
- M Mathematics I don’t understand how I would calculate this...
- M Mathematics A new bank costumer with 2500 dollars wants to open a money market account. The bank is offering a simple interest rate of 1.5 percent. How much interest will the account...
- M Mathematics Runners in a half marathon entered in three waves . There were 341 runners in the first wave 295 runners in the the face ? Second wave , and 316 runners in the third...
Ответ:
9514 1404 393
B. 7.85
Step-by-step explanation:
Your knowledge of the triangle inequality tells you 'b' cannot be greater than 11+14 = 25, eliminating choices A and C. If 'b' were 24.05, as suggested by choice D, the angle at B would be nearly a straight angle.
So, the only viable choice is b = 7.85.
__
Your knowledge of "special" triangles tells you that if B were 30°, then b would be 14/2 = 7.0. The angle is slightly larger than that, so the side opposite is slightly larger than 7.0.
__
In this geometry, the Law of Cosines would be used to find b. That relationship tells you ...
b = √(a^2 +c^2 -2ac·cos(B))
b = √(121 +196 -308·cos(34°)) ≈ √61.66 ≈ 7.85
_____
About special triangles
There are two "special" right triangles whose trig functions are not difficult to remember. They appear quite often in algebra, geometry, and trig problems, so remembering their properties can be useful.
A 30°-60°-90° right triangle has side lengths in the ratios 1 : √3 : 2. The shortest side is exactly half the length of the hypotenuse. This fact is what we referred to above.
A 45°-45°-90° isosceles right triangle has side lengths in the ratios 1 : 1 : √2. This is the triangle you get by drawing a diagonal in a square. These ratios tell you the diagonal of a square is always √2 times the side length.