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
bezimeni [28]
2 years ago
12

Calculate the area of this figure Round to the nearest tenth. 8ft 10ft 6ft 10ft

Mathematics
1 answer:
solniwko [45]2 years ago
8 0

Answer:

96 ft^2.

Step-by-step explanation:

Area = 8 * 10 + 1/2 * 4 * 8

= 80 + 16

= 96 ft^2.

You might be interested in
Identify the terms and the like terms in this expression.
adoni [48]

Answer:

b

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What are the types of roots of the equation below?<br> - 81=0
Tju [1.3M]

Option B, that is Two Complex and Two Real which are x + 3, x - 3, x + 3i and x - 3i, are the types of roots of the equation x⁴ - 81 = 0. This can be obtained by finding root of the equation using algebraic identity.    

<h3>What are the types of roots of the equation below?</h3>

Here in the question it is given that,

  • the equation x⁴ - 81 = 0

By using algebraic identity, (a + b)(a - b) = a² - b², we get,  

⇒ x⁴ - 81 = 0                      

⇒ (x² +  9)(x² - 9) = 0

⇒ (x² + 9)(x² - 9) = 0

  1. (x² -  9) = (x² - 3²) = (x - 3)(x + 3) [using algebraic identity, (a + b)(a - b) = a² - b²]
  2. x² + 9 = 0 ⇒ x² = -9 ⇒ x = √-9 ⇒ x= √-1√9 ⇒x = ± 3i

⇒ (x² + 9) = (x - 3i)(x + 3i)

Now the equation becomes,

[(x - 3)(x + 3)][(x - 3i)(x + 3i)] = 0

Therefore x + 3, x - 3, x + 3i and x - 3i are the roots of the equation

To check whether the roots are correct multiply the roots with each other,

⇒ [(x - 3)(x + 3)][(x - 3i)(x + 3i)] = 0

⇒ [x² - 3x + 3x - 9][x² - 3xi + 3xi - 9i²] = 0

⇒ (x² +0x - 9)(x² +0xi - 9(- 1)) = 0

⇒ (x² - 9)(x² + 9) = 0

⇒ x⁴ - 9x² + 9x² - 81 = 0

⇒ x⁴ - 81 = 0

Hence Option B, that is Two Complex and Two Real which are x + 3, x - 3, x + 3i and x - 3i, are the types of roots of the equation x⁴ - 81 = 0.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: What are the types of roots of the equation below?

x⁴ - 81 = 0

A) Four Complex

B) Two Complex and Two Real

C) Four Real

Learn more about roots of equation here:

brainly.com/question/26926523

#SPJ9

5 0
1 year ago
What is the value of a in this linear system?
Sergio [31]

Answer:

Step-by-step explanation:

C

5 0
2 years ago
Please give me the right answer if the algebraic expression is 11 decreased by k is thirty-two. How to write it.
Free_Kalibri [48]
11 - k = 32
- k = 21
k = -21
8 0
3 years ago
Which word is an antonym of permit?
Deffense [45]

Answer:

What are the options? ban, forbid, prohibit, are some examples

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • What is 3x5x4x.............. can anyone answer asap pls
    11·1 answer
  • Passes through (3,4) and (5, -4)
    10·2 answers
  • Which statements are true the ordered pair (1, 2) and the system of equations? y=−2x+47x−2y=3 HELP ASAP! WILL GIVE BRAINLIEST
    15·2 answers
  • What is the answer for -1.2(-3.05)
    13·1 answer
  • Approximately 18% of the calls to an airline reservation phone line result in a reservation being made. (a) suppose that an oper
    6·1 answer
  • John works two jobs. As a security guard he earns $8.50 per hour. As a landscaper he earns $14 per hour. One week John worked a
    10·1 answer
  • The seventh grade haa a new music teacher Ms. Fritz. Some students have learned a great deal from her, but others think she teac
    15·2 answers
  • can someone help me? (m is a variable if you didnt know, thats what im trying to figure out)-1.5m = -2.55
    12·1 answer
  • Can you help me with this?
    10·2 answers
  • Can you help? Please.​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!