1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eddi Din [679]
3 years ago
6

(08.06 LC)

Mathematics
2 answers:
tino4ka555 [31]3 years ago
8 0

Answer:

B:

b = c + 7

b = c - 1

Step-by-step explanation:

"Variable b is 7 more than variable c" can be expressed mathematically as

b = c + 7

"Variable b is 1 less than variable c" can be expressed mathematically as

b = c - 1

So the second pair,

b = c + 7

b = c - 1

best models the relationship between b and c

Hope this Helps :)

AVprozaik [17]3 years ago
4 0

Answer:

First one

Step-by-step explanation:

Variable b is 7 more than variable c:

b = c + 7

Variable b is also 1 less than variable c:

b = c - 1

You might be interested in
If sin theta = (4)/(7)​, theta in quadrant​ II, find the exact value of (a) cos theta (b) sin (theta + (pi) / (6) ) (c) cos (the
EleoNora [17]

Answer:

a) \cos(\theta) = \frac{\sqrt[]{33}}{7}

b) \sin(\theta + \frac{\pi}{6})\frac{-3\sqrt[]{11}+4}{14}

c) \cos(\theta-\pi)=\frac{\sqrt[]{33}}{7}

d)\tan(\theta + \frac{\pi}{4}) = \frac{\frac{-4}{\sqrt[]{33}}+1}{1+\frac{4}{\sqrt[]{33}}}

Step-by-step explanation:

We will use the following trigonometric identities

\sin(\alpha+\beta) = \sin(\alpha)\cos(\beta)+\cos(\alpha)\sin(\beta)

\cos(\alpha+\beta) = \cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)\tan(\alpha+\beta) = \frac{\tan(\alpha)+\tan(\beta)}{1-\tan(\alpha)\tan(\beta)}.

Recall that given a right triangle, the sin(theta) is defined by opposite side/hypotenuse. Since we know that the angle is in quadrant 2, we know that x should be a negative number. We will use pythagoras theorem to find out the value of x. We have that

x^2+4^2 = 7 ^2

which implies that x=-\sqrt[]{49-16} = -\sqrt[]{33}. Recall that cos(theta) is defined by adjacent side/hypotenuse. So, we know that the hypotenuse is 7, then

\cos(\theta) = \frac{-\sqrt[]{33}}{7}

b)Recall that \sin(\frac{\pi}{6}) =\frac{1}{2} , \cos(\frac{\pi}{6}) = \frac{\sqrt[]{3}}{2}, then using the identity from above, we have that

\sin(\theta + \frac{\pi}{6}) = \sin(\theta)\cos(\frac{\pi}{6})+\cos(\alpha)\sin(\frac{\pi}{6}) = \frac{4}{7}\frac{1}{2}-\frac{\sqrt[]{33}}{7}\frac{\sqrt[]{3}}{2} = \frac{-3\sqrt[]{11}+4}{14}

c) Recall that \sin(\pi)=0, \cos(\pi)=-1. Then,

\cos(\theta-\pi)=\cos(\theta)\cos(\pi)+\sin(\theta)\sin(\pi) = \frac{-\sqrt[]{33}}{7}\cdot(-1) + 0 = \frac{\sqrt[]{33}}{7}

d) Recall that \tan(\frac{\pi}{4}) = 1 and \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}=\frac{-4}{\sqrt[]{33}}. Then

\tan(\theta+\frac{\pi}{4}) = \frac{\tan(\theta)+\tan(\frac{\pi}{4})}{1-\tan(\theta)\tan(\frac{\pi}{4})} = \frac{\frac{-4}{\sqrt[]{33}}+1}{1+\frac{4}{\sqrt[]{33}}}

5 0
3 years ago
Marcie bought a 50-foot roll of packing tape. she used two 8 5/6 foot lengths. how much tape is left on the roll
Dmitry [639]
50-8 5/6 =41.1 foot roll
 how to get the answer:
find the lowest common factory between both:6
50 -  53
----------
 1       6
300 - 53   247
----------=  ------   or 41.1
    6            6
















7 0
3 years ago
What is 86 as a fraction in simplest form
Gwar [14]
The answer would be 46/50
5 0
3 years ago
2.318181818 repeating as a mix number
natali 33 [55]
As you can see, 18 is a constantly repeating number in this situation. So take out the 2.3 to get 0.01818..... To make infinitely long rational numbers with repeating digits into a fraction,  put it over 99. so 0.1818...... would be 18/99. But since it is 0.0181818...., you have to put 18 over 990. 18/990 is 2/110, which is 1/55.  Now you have to add 2.3 to 1/55 which will be 2 7/22
4 0
4 years ago
What is the solution to the equation 1 over 21 multiplied by x is equal to 1 over 7?
Ulleksa [173]
It would be X=3 because 3 multiplied by 1 equals 3 and you get 3 over 21. that simplifies to 1 over 7.
6 0
3 years ago
Other questions:
  • Solve for x. -1/2 x < -12
    7·1 answer
  • What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4?
    10·2 answers
  • Mr.Jones has a new car. The manufacturer says that the car should get about 28 miles per gallon in the city. About how many mile
    10·1 answer
  • A cube has a volume of 125 cm°. What is the length, in centimeters of each side of
    15·1 answer
  • it has been observed that a particular plant's growth is directly proportional to time. it is measured 2 cm when ut arrived at t
    6·1 answer
  • The medical practice you are working at has seen an average of 22.4 patients a day for the past 3 months. 3/4ths of those patien
    15·1 answer
  • Angle measures and segment lengths.
    11·1 answer
  • Help Please. ASAP ty
    5·2 answers
  • My dad is X years old and i am Y years old. How old shall we be in 10 years time.
    5·2 answers
  • Which graph models Y<1/2|X-2|
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!