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
Novosadov [1.4K]
3 years ago
10

Explain how to solve angle relationship problems

Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

Answer:


Step-by-step explanation: Identify the angle relationships, set up the equation that will yield the unknown value, solve the equation for the unknown value, substitute the answer to determine the measurement of the angles then, check and verify your answer by measuring the angle with a protractor.


You might be interested in
what would be a real world problem situation that you can write either a percent as a decimal or write a decimal as a percent
love history [14]
When grading papers you can convert decimals into percents

7 0
2 years ago
How many nonzero terms of the Maclaurin series for ln(1 x) do you need to use to estimate ln(1.4) to within 0.001?
Vilka [71]

Answer:

The estimate of In(1.4) is the first five non-zero terms.

Step-by-step explanation:

From the given information:

We are to find the estimate of In(1 . 4) within 0.001 by applying the function of the Maclaurin series for f(x) = In (1 + x)

So, by the application of Maclurin Series which can be expressed as:

f(x) = f(0) + \dfrac{xf'(0)}{1!}+ \dfrac{x^2 f"(0)}{2!}+ \dfrac{x^3f'(0)}{3!}+...  \ \ \  \ \ --- (1)

Let examine f(x) = In(1+x), then find its derivatives;

f(x) = In(1+x)          

f'(x) = \dfrac{1}{1+x}

f'(0)   = \dfrac{1}{1+0}=1

f ' ' (x)    = \dfrac{1}{(1+x)^2}

f ' ' (x)   = \dfrac{1}{(1+0)^2}=-1

f '  ' '(x)   = \dfrac{2}{(1+x)^3}

f '  ' '(x)    = \dfrac{2}{(1+0)^3} = 2

f ' '  ' '(x)    = \dfrac{6}{(1+x)^4}

f ' '  ' '(x)   = \dfrac{6}{(1+0)^4}=-6

f ' ' ' ' ' (x)    = \dfrac{24}{(1+x)^5} = 24

f ' ' ' ' ' (x)    = \dfrac{24}{(1+0)^5} = 24

Now, the next process is to substitute the above values back into equation (1)

f(x) = f(0) + \dfrac{xf'(0)}{1!}+ \dfrac{x^2f' \  '(0)}{2!}+\dfrac{x^3f \ '\ '\ '(0)}{3!}+\dfrac{x^4f '\ '\ ' \ ' \(0)}{4!}+\dfrac{x^5f' \ ' \ ' \ ' \ '0)}{5!}+ ...

In(1+x) = o + \dfrac{x(1)}{1!}+ \dfrac{x^2(-1)}{2!}+ \dfrac{x^3(2)}{3!}+ \dfrac{x^4(-6)}{4!}+ \dfrac{x^5(24)}{5!}+ ...

In (1+x) = x - \dfrac{x^2}{2}+\dfrac{x^3}{3}-\dfrac{x^4}{4}+\dfrac{x^5}{5}- \dfrac{x^6}{6}+...

To estimate the value of In(1.4), let's replace x with 0.4

In (1+x) = x - \dfrac{x^2}{2}+\dfrac{x^3}{3}-\dfrac{x^4}{4}+\dfrac{x^5}{5}- \dfrac{x^6}{6}+...

In (1+0.4) = 0.4 - \dfrac{0.4^2}{2}+\dfrac{0.4^3}{3}-\dfrac{0.4^4}{4}+\dfrac{0.4^5}{5}- \dfrac{0.4^6}{6}+...

Therefore, from the above calculations, we will realize that the value of \dfrac{0.4^5}{5}= 0.002048 as well as \dfrac{0.4^6}{6}= 0.00068267 which are less than 0.001

Hence, the estimate of In(1.4) to the term is \dfrac{0.4^5}{5} is said to be enough to justify our claim.

∴

The estimate of In(1.4) is the first five non-zero terms.

8 0
2 years ago
114 is the product of dianes age and 6 use the variable d to represent diane age​
ss7ja [257]

Answer:

D= 19

Step-by-step explanation:

114 ÷ 6 is 19

6 0
3 years ago
Find the surface area of the cylinder. Use 3.14 for pi. Do not round the answer.
MrRissso [65]

Answer:

188.4 ft

Step-by-step explanation:

3.14x5^2x2=157 ft

3.14x10=31.4

31.4+157=188.4 ft

3 0
2 years ago
The Distributive Property also combines subtraction and multiplication. for example, . 3 * ( 5 - 2 ) = ( 3 * 5 ) - ( 3 * 2 ).
Sholpan [36]
So the problem ask to find or solve the problem using distributive property, so to calculate if using distributive property is just the same calculation if you are multiplying two number using a paper so the answer is 5(8)+5(90)+5(100), 40+ 450+500 = 990. I hope you understand my answer 
6 0
2 years ago
Read 2 more answers
Other questions:
  • How many solutions does the equation have ?
    8·1 answer
  • Suppose you are doing a study on the wealth of the population in your town. You take a random survey of 100 people. Which would
    12·2 answers
  • Original price 60$ markup 15%
    15·1 answer
  • 4y + 16 > –8 solve the Inequalities help plz
    8·2 answers
  • Find the value of x....
    13·1 answer
  • A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29
    10·2 answers
  • Solve this for me 15x+82= 20x +12<br>​
    15·1 answer
  • You will need 50% of a packet of pasta to make a meal for 4 people. How
    5·2 answers
  • Mrs. Davis drove 35% less miles then Mrs. Fields last year. Mrs. Fields drove 30,500 miles. How many miles did Mrs. Davis drive?
    11·2 answers
  • Valentina has a tray where she keeps all of her important papers. the tray is in the shape of a rectangular prism with no top. a
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!