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
Makovka662 [10]
1 year ago
9

Can u guys pls help me with this homework

Mathematics
1 answer:
gladu [14]1 year ago
6 0

The value of √(7 * 23 - 1)/8 is 4.47, the values of a, b and c are -14/11, -10/11 and 3, respectively and the area of the shape is 5√5 + 5 square meters

<h3>How to evaluate the radical expression?</h3>

The question goes thus:

If √5 = 2.236, evaluate √(7 * 23 - 1)/8

We have:

√(7 * 23 - 1)/8

Evaluate the product of 7 and 23

√(7 * 23 - 1)/8 = √(161 - 1)/8

Evaluate the difference of 161 and 1

√(7 * 23 - 1)/8 = √160/8

Evaluate the quotient of 160 and 8

√(7 * 23 - 1)/8 = √20

Express 20 as the product 4 and 5

√(7 * 23 - 1)/8 = √(4 * 5)

Expand the product

√(7 * 23 - 1)/8 = √4 * √5

Express √4 as 2

√(7 * 23 - 1)/8 = 2 * √5

Substitute √5 = 2.236

√(7 * 23 - 1)/8 = 2 * 2.236

Evaluate the product

√(7 * 23 - 1)/8 = 4.472

Approximate

√(7 * 23 - 1)/8 = 4.47

Hence, the value of √(7 * 23 - 1)/8 is 4.47

<h3>How to simplify the radical expression?</h3>

The expression is given as:

(3√2 + 5√6)/(3√2 - 5√6)

Rationalize the above expression

(3√2 + 5√6)/(3√2 - 5√6) * (3√2 + 5√6)/(3√2 + 5√6)

Evaluate the product

(3√2 + 5√6)²/((3√2)² - (5√6)²)

Simplify the denominator

(3√2 + 5√6)²/(18 - 150)

This gives

[(3√2)² + (5√6)² + 2 *(3√2) * (5√6)]/(-132)

Simplify the numerator

[168 + 120√3]/(-132)

Simplify the fraction

-14/11 - 10√3/11

Hence, the values of a, b and c are -14/11, -10/11 and 3, respectively

<h3>How to determine the area?</h3>

The area is calculated as:

A = 1/2 * (Sum of parallel bases) * Height

So, we have:

A = 1/2 * (4 + 3√5 + 6 - √5) * √5

Evaluate the like terms

A = 1/2 * (10 + 2√5) * √5

Evaluate the product

A = (5 + √5) * √5

Evaluate the product

A = 5√5 + 5

Hence, the area of the shape is 5√5 + 5 square meters

Read more about rational expressions at:

brainly.com/question/8008240

#SPJ1

You might be interested in
PLEASE HELP ASAP!! WILL GIVE BRAINLIEST
AleksAgata [21]
I believe that it is D, so sorry if it's wrong, I haven't done this in a while.
7 0
3 years ago
Read 2 more answers
1 ⅕ - ⅓ = ? <br><br> Please I need help--
Sunny_sXe [5.5K]
1 1/5 - 1/3
6/5-1/3
18/15-5/15
13/15 is your answer.
3 0
3 years ago
Read 2 more answers
Laney builds a tower with wooden cubes. The bottom cube's edges are 8 centimeters long. The middle cube's edges are 2 centimeter
Mazyrski [523]

Answer: The total volume of the the cubes in the tower is 792 cubic centimetres (792 cm³)

Step-by-step explanation: We shall call the volume of the cube at the bottom VB, the volume of the cube at the middle VM, and the volume of the cube at the top VT. The tower is made up of cubes at different levels and at the bottom the cube measures 8 centimetres. The cube at the middle measures 2 cm less than the bottom cube, hence middle cube equals 8 minus 2 which equals 6 cm. The top cube measures 2 cm less than the middle cube, hence the top cube equals 6 minus 2 which equals 4 cm. The volume of each cube is given as;

Volume = L³

The length of a cube measures the same on all sides, that is, length, width and height. The length on all sides therefore of the bottom cube is 8 cm. The volume equals;

VB = 8³

VB = 512 cm³

The length on all sides of the middle cube is 6 cm (measures 2 cm shorter than the bottom cube). The volume of the middle cube equals;

VM = L³

VM = 6³

VM = 216 cm³

The length on all sides of the top cube is 4 cm (measures 2 cm shorter than the middle cube). The volume of the top cube equals;

VT = L³

VT = 4³

VT = 64

From the calculations shown, the total volume of the cubes in the tower is given as;

Total volume = VB + VM + VT

Total volume = 512 + 216 + 64

Total volume = 792 cm³

Total volume is 792 cubic centimetres.

8 0
3 years ago
Read 2 more answers
F (x) = 2x^2 - 4x + 1
Kobotan [32]

Answer:

<h2><u>tinanong ko rin po yang tanong nyo at ito po ang sagot nila</u></h2>

3 0
3 years ago
What is 19.7-6.8 the answer
kenny6666 [7]
Hi! :) 19.7 - 6.8 is 12.9. If you need anymore help, ask me!
5 0
4 years ago
Read 2 more answers
Other questions:
  • Triangle PQR is a right triangle. If RQ = 8, what is PQ?
    7·1 answer
  • What number has 2 more tens than 40 and the same number of ones as 18
    8·1 answer
  • A house worth $297,000 is assessed for 2/3 of its value. what is the assessed value of the house
    11·1 answer
  • What percent of 8 is 32.52?
    6·1 answer
  • hey guys i need help i don't understand what a reciprocal means i know i am in middle school but i learned this in 4th grade i a
    12·1 answer
  • Jeanne loans her friend $500.00 at 7% simple interest per year. How much interest will jeanne earn in eight months ?
    13·1 answer
  • Can someone help me with this ​
    11·2 answers
  • PLEASE HELP NO LINKS OR FILES!!!!!!!!!!!!! The table shows transactions from five different bank accounts. Fill in the missing n
    10·1 answer
  • The difference of sixteen and four is greater than ten
    5·1 answer
  • Please I really need help, and please don't try and play me becasue someone just put the wrong answer and juked 70 of my points
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!