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
Over [174]
3 years ago
10

I have two questions. Please try to answer both!

Mathematics
1 answer:
OlgaM077 [116]3 years ago
7 0

Answer:

(a)59

(b)d=\dfrac{1}{2}

Step-by-step explanation:

<u>Part A</u>

The nth term of an arithmetic sequence, T_n=a+(n-1)d

Let the first angle of the triangle =a

Let the common difference = d.

Since the measures of the angles are in an arithmetic progression

We have:

a + (a + d) + (a + 2d) = 180

3a+3d=180

a+d=60

Since a or d cannot be equal to zero, the minimum possible values of a and d is 1 and the maximum possible values of a and d is 59.

Therefore, there are 59 non-similar triangles.

<u>Part B</u>

In an arithmetic sequence

a_7 -2a_4 = 1, a_3 = 0.

2a_4=a_7-1\\a_4=\dfrac{a_7-1}{2}

Common difference,

d=a_4-a_3\\=\dfrac{a_7-1}{2}-0\\d=\dfrac{a_7-1}{2}

a_7=a_4+3d\\=\dfrac{a_7-1}{2}+3(\dfrac{a_7-1}{2})\\=\dfrac{a_7-1}{2}+\dfrac{3a_7-3}{2}\\=\dfrac{a_7-1+3a_7-3}{2}\\a_7=\dfrac{4a_7-4}{2}\\$Cross multiply\\2a_7=4a_7-4\\2a_7-4a_7=-4\\-2a_7=-4\\a_7=2

Therefore:

d=\dfrac{2-1}{2}\\d=\dfrac{1}{2}

You might be interested in
What is the square root of 55
nikitadnepr [17]

\sqrt{55 }  = 7.41.....
It is non recurring number

Hope it helps you
3 0
3 years ago
Please, quickly. Sorry for the poor picture quality.
Nimfa-mama [501]

Answer:

<2 is 50º

Step-by-step explanation:

you first want to find what x is, so you would put the two equations in an (equation)=(equation) and get x and the number across from each other, that would be x=15º. you then plug in the 15 to the equation, and solve that, resulting in 130º. The angle is going to be 180 in total, so subtract the 130º from 180º and you would get 50º

3 0
3 years ago
Is graphite all of the following?
AnnZ [28]

Answer: Yes!

Step-by-step explanation:

Yes, graphite is composed of 100%carbon. With this, can we say that graphite is an element or compound of carbon? Compound is composed of two or more elements combined in a substance in definite proportions, in the form of molecules held together by chemical bonds.

6 0
3 years ago
B/c =a what is c ????????????
timama [110]
If you only want to know what it means ¨c¨ then it is the Denominator, cause you are referring a fraction.
6 0
2 years ago
The cable company takes an SRS of 250 of the approximately 15,000 households who subscribe to them. They found that 75 percent o
kati45 [8]

Answer:

Answer; Mean = p = 0.75

             Standard deviation =0.0274  

Step-by-step explanation:

Mean = p = 0.75

Standard deviation = √ [ p ( 1 - p) / n ]

= √ [ 0.75 * ( 1 - 0.75) / 250]

= 0.0274

5 0
3 years ago
Other questions:
  • On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(1, 2) and Q(−1, 2). What is the length of Side
    6·1 answer
  • What is 43.3(blank)
    11·1 answer
  • The difference between the highest and lowest score in a distribution
    12·1 answer
  • Step by step is greatly appreciated
    12·1 answer
  • What is 3/5 times 6/5
    8·2 answers
  • (-7,-5) lies in which of the following quadrants [ ]<br><br>a) Q1 b) Q2 C) Q3 d) Q4​
    14·1 answer
  • Use the distributive property to simplify 3 + 5c(2 + 6c) completely.​
    9·1 answer
  • Can someone help?
    8·1 answer
  • Q+a-r=7.098.888<br> q=?<br> a=1.000.000<br> r=? <br> can someone help me please
    6·1 answer
  • If a length of a square is 3.2 cm square what is the perimeter and area​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!