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
What proof do you see that contaminated water seeped into the well? How could scientists use a similar approach to understand wa
Veseljchak [2.6K]

Answer:

because of the fungus that may have growne is the asnwer

Step-by-step explanation:

6 0
2 years ago
Pedro bought lb of red sand and lb of brown sand to refill his sand box. Both types of sand cost $4.60 a pound. How much did Ped
Doss [256]
If we know that Pedro bought 1 \frac{1}{4} pounds of red sand, and 5 \frac{1}{2} pounds of brown sand, and they both cost $4.60, then we just have to add the individual amounts of sand, since they cost the same.

1  \frac{1}{4} + 5  \frac{1}{2} = 6  \frac{3}{4}

So Pedro bought 6 \frac{3}{4} lbs of sand overall. Now, we just need to multiply the cost per pound by the total amount of sand he bought.

6 \frac{3}{4} * 4.6 = 31.05

Pedro spent $31.05 on sand, which is answer choice B.
Hope that helped =)
4 0
3 years ago
Read 2 more answers
Find (−3d2+10d−8)−(7d2−d−6). The difference is .
katovenus [111]

-10d^2 + 11d - 2

To find this, distribute the - to 7d^2 - d - 6.

This will give you a new equation of:

-3d^2 + 10d - 8 -7d^2 + d + 6

Combine like terms to get the answer above.

Hope this helps!

3 0
3 years ago
Whats the answer to (m-n)(-3)
Likurg_2 [28]
The answer is -3m + 3n
3 0
3 years ago
An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet spec
SVETLANKA909090 [29]

Answer:

The probability mass function is given by

P(X = 0) = 0.003, P(X = 1) = 0.164, P(X = 2) = 0.833

Step-by-step explanation:

Given to us are two mechanical components.

The probability of the first component meeting the given specifications are 0.98.

The probability that the second component meets the given specifications  = 0.85.

In the information given the components are said to be independent.

The probability mass function will be calculated in the following way

i.) P(X=0) which is the probability that neither of the components meet the specifications.

ii) P(X=1) which is the probability when either of the components will meet the specifications and the other will not.

iii) P(X=2) which is the probability that both components meet the specification.

Therefore P(X = 0) = ( 1 - 0.98) × ( 1 - 0.85)  = 0.02 × 0.15  = 0.003

and,          P(X = 1)  =    (0.98 × ( 1 - 0.85)) + (( 1 - 0.98) × 0.85)

                              =   (0.98 × 0.15) + (0.02 × 0.85)

                              =   0.147 + 0.017

                              = 0.164

and finally, P(X=2) = (0.98 × 0.85)

                              = 0.833

4 0
3 years ago
Other questions:
  • Which equation best represents this situation?
    12·1 answer
  • Which number is a factor of 12 but not a multiple of 3?
    15·1 answer
  • Need help with this second part of math
    13·1 answer
  • On mine it ask for first an equation to model the problem. Next work backwards and rewrite the equation to find x. Then solve. 3
    14·1 answer
  • In a survey, 184 students were asked whether lemonade should be added to the school lunch menu. one fourth of the student said y
    13·1 answer
  • A "point" is 1% of your borrowed amount on a mortgage. You want to pay 2 points to get a 0.5% reduction in your interest rate on
    11·1 answer
  • De acuerdo con la siguiente figura calcula el ancho del río y la distancia del árbol a la lancha.
    7·1 answer
  • the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers
    7·1 answer
  • What would be the second step in this problem? (3 + 4) 9 + 3 =
    14·2 answers
  • If two points on a line are A(10, −3) and B(12, 9), the rise is __________, and the run is __________, so the slope of the line
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!