On simplifying (3+√3 )(5- √2), the value is

A. 112
B. 18
C. 6
D. 21

no spam and please explain ur answer .​

Answers

Answer 1

Answer:

18

Step-by-step explanation:

( 3 + √3 ) ( 5 - √2 )

= 3 ( 5 - √2 ) + √3 ( 5 - √2 )

= 15 - 3√2 + 5√3 - √6

√2 = 1.41 ( approximately )

3√2

= 3 x 1.41

= 4.23

√6 = 2.44

√3 = 1.73

5√3

= 5 x 1.73

= 8.65

15 - 3√2 + 5√3 - √6

= 15 - 4.23 + 8.63 - 2.44

= 15 + 8.63 - 4.23 - 2.44

= 15 + 8.63 - 6.67

= 15 + 1.93

= 16.93

Rounding of 16.93 = 17

17 is near to 18.

So, 18 can be the answer.


Related Questions

nadia will survey 50 students in her town to find out what their favorite summertime activity is which group would likeyl give the best representation for her survey

Answers

Answer:

B. 50 students in her school

Step-by-step explanation:

Every other answer is at a seperate place designed to help someone in a specific field, besides the school.

Find the inverse function.
x - 3
f(x) =
+ 2
5
f-1(x) = [ ? ]x + [ ]

Answers

Answer: 5(x-2) + 3 [aka 5x - 7, whichever form your computer accepts these both mean the same]

Steps
Solve for the inverse function of
f(x)=((x-3)/5)+2

First one should replace the variables so
that f(x)=((x-3)/5)+2 becomes:


x=((y-3)/5)+2 (this isn’t necessary, it just makes it easier for those to remember the variable they are looking for when first learning about inverses) —> regardless, we are searching for y.

So doing regular algebra, we get:

x=((y-3)/5)+2
x-2=((y-3)/5)
5(x-2)=y-3
5(x-2)+3=y

Thus, the inverse: f(x)^-1 = 5x-7

[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?

Answers

Answer:

the correct answer is 5 snowmen

pls pls help me pls

Patricia is testing some mineral properties to help her identify each mineral. For one test, she scrapes a mineral on a special plate to observe the color left behind.


For which of the following properties of minerals is she MOST LIKELY using this test?

Group of answer choices

cleavage

hardness

luster

streak




Keesha is conducting several tests on minerals to help identify them. She uses a small hammer to break the mineral. Which property of the mineral might Keesha be testing?

Group of answer choices

cleavage

texture

luster

streak





Haley tests the streak of two mineral samples using a streak plate. Both minerals leave a pale yellow streak. Which of the following might Haley conclude about the two mineral samples?

Group of answer choices

They both have dull luster.

They are very soft minerals.

They could be the same mineral.

They are both very hard.




The students in Mr. Leone’s class are studying rocks. The students tell Mr. Leone that several of their rocks are sedimentary. Which of the following could the students use as evidence for their thinking?

Group of answer choices

The rocks are grainy.

The rocks contain fossils.

The rocks are heavy.

The rocks have large crystals.

Answers

Answer: Hope This Helps!

Step-by-step explanation:

1: Streak: Streak is a word referring to the color of the streak that a rock makes when it is scraped against the unglazed side of a white ceramic tile (or, the unglazed bottom of a white coffee cup or toilet tank cover).

2: Luster: The luster of a mineral is best observed on a surface that is free of moisture, dirt, tarnish, and abrasion. Geologists in the field usually carry a rock hammer to break rocks so that their true luster and color can be observed.

3: They could both be the same mineral: The minerals pyrite and gold are always metallic yellow in color and streak (although they differ in other characteristics such as hardness).

4: The rocks contain fossils: Sedimentary rocks are most likely to contain fossils. Fossils are formed when the bodies or remnants of living organisms (plants and animals) are covered and are thus protected from predators or microbial decay. And thats exactly what a sedimentary rock is.

Qadaria is planting a flower garden in the shape of a right triangle in the back corner of her yard. The two sides shown are 7 feet and 8 feet. She would like to put a small fence around the garden, what is the approximate length, in feet, of the fence?

Answers

Answer:

first find the length of the hypotenuse,

a²+b²=c²

7²+8²=113

√113=10.63

perimeter=sum of all sides

10.63+7+8

=25.63

The box plot below represents some data set. What percentage of the data values are less than 46? ​

Answers

Answer: 25%

Step-by-step explanation:

This is the last question from me

Answers

Answer:

[tex] {4}^{4} [/tex]

Step-by-step explanation:

[tex] \frac{ {4}^{9} }{ {4}^{5} } [/tex]

[tex]{4}^{9 - 5} [/tex]

[tex] {4}^{4} [/tex]

Hope it is helpful....

A 2-gallon jug of juice costs $10.88. What is the price per cup?

Answers

Answer:

it's ¢.34

Step-by-step explanation:

a gallon has 16 cups

since there are two gallons that's 32

the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34

A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 10¹⁰ gallons, and pool B held 2 x 10⁸ gallons. How many times more gallons will the larger pool hold than the smaller pool?

O4
O 20
O 100
O 200​

Answers

Answer:

20

Step-by-step explanation:

2 x 10 = 20

divided by 4 = 5

The larger pool will hold is 100 times more gallons than the smaller pool

What is capacity and measurement?

From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool

From the given information,

Capacity of the larger pool = 2 × 10¹⁰ gallons

Capacity of the smaller pool = 2 × 10⁸ gallons

To determine how many times more gallons the larger pool  holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool

That is,

[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]

= 10²

= 100

Hence, the larger pool will hold is 100 times more gallons than the smaller pool.

Learn more on Capacity here: https://brainly.com/question/7598008

#SPJ2

Factorise fully 12x^3-4x^2

Answers

Answer:

4x² (3x - 1)

Step-by-step explanation:

12x³ - 4x²

4x² (3x - 1)

HIYAAAAAAA I 'OPE YOUR ALL WELL THE PROBLEM IS THAT I STUGGLE WITH MATHS...

Answers

Trust me, you're not the only one who's bad at math.  '-'

The Movie Haven is planning to order new medium-size popcorn containers. It has a choice of four different containers. It costs the company $0.02 per cubic inch of popcorn to fill a container. The company does not want the new container to cost more than $3.00 to fill. Which container should the company use? Use 3.14 for Pi.

Container A
A cylinder with height 5 inches and diameter 7 inches.

Container B
A cylinder with height 6 inches and radius 3 inches.

Container C
A cylinder with height 12 inches and B = 11.14 inches squared.

Container D
A cylinder with height 10 inches and diameter 6 inches.

container A
container B
container C
container D

Answers

Answer:

only option less than $3 is (C)

Step-by-step explanation:

Volume(cylinder) = πr²h or Bh

I used the guess-and-check method and got the following:

A) 3.85

B) 3.39

C) 2.67

D) 5.65

vertex of the graph of x^2 + 8x + 12=0​

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.

Answers

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 6, 3, ...

Answers

Answer:

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

∵ The first 3 terms are 12, 6, 3

∵ 6 - 12 = -6

∵ 3 - 6 = -3

∵ There is no common difference between the consecutive terms

∴ The sequence is not an arithmetic sequence

∵ 6 ÷ 12 = 0.5

∵ 3 ÷ 6 = 0.5

∴ There is a common ratio between each two consecutive terms

∴ The sequence is a geometric sequence

∴ The common ratio is 0.5

PLEASE HELP!!!!!! In which week was the rainfall in Portland the highest and how much fell?

weekly rainfall bar graph
Week 3, 800 cm
Week 4, 1400 cm
Week 4, 1200 cm
Week 3 900 cm

Answers

Answer:

Week 4, 1400

Brainliest plz

Step-by-step explanation:

Answer:

Week 3 and 900 cm

Step-by-step explanation:

Brainliest Please!

Please help me with this i didn’t get the answer

Answers

I think m is 216
Below is pic of my workings

Side 1: 3x2 - 2x - 1
Side 2: 9x + 2x2 - 3
The perimeter of the triangle is 5x3 + 4x2 - x - 3.
Part B: What are the degree and classification of the expression obtained in Part A? (2 points)

Answers

Answer:

Part A - [tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex], Part B - Polynomial of second degree and formed by 3 monomials, Part C - [tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Step-by-step explanation:

Part A - The total length of the sides 1 and 2 is equal to the addition between respective polynomials:

[tex]l_{1} + l_{2} = (3\cdot x^{2} - 2\cdot x - 1) + (9\cdot x + 2\cdot x^{2} - 3)[/tex]

[tex]l_{1} + l_{2} = (3\cdot x^{2} + 2\cdot x^{2}) + (9\cdot x - 2\cdot x) +[(-1) + (-3)][/tex]

[tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex]

Part B - The degree is the highest exponent of the polynomial and the classification is related to the number of monomial that make part of the algebraic expression. In this case, we conclude that resulting expression is a polynomial of second degree and formed by 3 monomials.

Part C - The length of the third side of the triangle by subtracting the expression found in part A from the polynomial of the perimeter of the triangle:

[tex]l_{3} = p - l_{1} - l_{2}[/tex]

[tex]l_{3} = (5\cdot x^{3}+4\cdot x^{2}-x-3) -(5\cdot x^{2}+7\cdot x -4)[/tex]

[tex]l_{3} = 5\cdot x^{3} + [4+(-5)]\cdot x^{2}+[(-1)+(-7)]\cdot x +[(-3)+ 4][/tex]

[tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]

Answer:

Part A; Total length of side 1 and 2  = 5·x² + 7·x - 4

Part B; The degree of the polynomial is 2

The classification of the polynomial is a trinomial quadratic equation

Part C; 5·x³ - 4·x² - 6·x + 2

Step-by-step explanation:

The length of the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The perimeter of the rectangle is 5·x³ + 4·x² - x - 3

Part A

The given expression for the sides of the rectangle are;

Side 1: 3·x² - 2·x - 1

Side 2: 9·x + 2·x² - 3

The total length of side 1 and side 2 is given by add ing the given expressions as follows;

Total length of side 1 and 2  = 3·x² - 2·x - 1 + 9·x + 2·x² - 3 = 5·x² + 7·x - 4

Part B

The degree of the polynomial is 2 and the classification of the polynomial is a trinomial quadratic equation

Part C

Given that a rectangle rectangle consists of two pairs of equal opposite sides, we have;

The length of the third side = The perimeter - (2 × The length of side 1 + The length of side 2)

The length of the third side = 5·x³ + 4·x² - x - 3 - (2 × (3·x² - 2·x - 1) + 9·x + 2·x² - 3)

The length of the third side = 5·x³ + 4·x² - x - 3 - (8·x² + 5·x - 5)

The length of the third side = 5·x³ - 4·x² - 6·x + 2

Find x and y, when AB and MN are similar

Please I need your help quickly

Answers

Answer:

x is 5 but sorry I can't Find the value of y

Answer:

y=3

x=5

Step-by-step explanation:

it's similar so CN =NB          

that means y=3

so MN=AB

x=5

4. Over what interval is the function shown in the
table decreasing?

Answers

Answer:

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Step-by-step explanation:

Find the area of a trapezoid with base 1 is 10 cm, base 2 is 12 and the height is 8

Answers

Answer:

88 sq cm

Step-by-step explanation:

A=(b1+b2) x H divided by 2

If the area of a triangle is 15 cm squared, and the base is 2 cm, then what is the height?

Please answer asap.

Answers

Answer:

15

Step-by-step explanation:

To find the area of an triangle use the formula BH(1/2) in this case

The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15

Tell me if I'm wrong if not

Hope this helped :]

The height of the triangle is 15 centimeters.

Given the following data:

Area of a triangle = 15 cm squaredBase of a triangle = 2 cm

To find the height of the triangle:

Mathematically, the area of a triangle is given by the formula;

[tex]Area \;of\; a \;triangle = \frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

Substituting the values into the equation, we have;

[tex]15 = \frac{1}{2}[/tex] × [tex]2[/tex] × [tex]height[/tex]

Height = 15 cm

Therefore, the height of the triangle is 15 centimeters.

Find more information: https://brainly.com/question/11037225

what is the area for a radius of 8 mm​

Answers

Answer:

A= 201.06

Step-by-step explanation:

A = pi r^2

A = pi x 8 x r^2 = 201.06

Write the following in scientific notation:
1. 5,400,000,000.=

Answers

Answer:

5.4x10^9

Step-by-step explanation:

ANSWER: 5.4 x 10 to the 9th power

Whenever you have a large number, you must shift the decimal point to the left to get a number between 1-9.

Consider a sphere with a volume of 36,000 π cubic centimeters.


Find the radius of the sphere. Be sure to use the correct unit in your answer.

Answers

Answer:

30 cm

Step-by-step explanation:

[tex]Vol. of a sphere (4/3) \pi r^3=36000 \pi \\r^3=36000*3/4=27000\\r=30 cm\\[/tex]

Pls help asap i have to turn in in 30 minutes will give brainliest
Natalie is making 1 1/2 the brownie recipe.The recipe calls for 2 1/2 cups of sugar.How many cups of sugar should she use?Pls hurry or i get 0%

Answers

3 3/4 Hope I helped have a good day!

What is the surface area of the prism?
1.
5 in.
4 in.
5 in

Answers

Answer:

140

Step-by-step explanation:

Find the values of x and y. Write your answers in simplest form.

Answers

Answer:

To find X you'll need this formula Tan 30, and this one to find y cos 30.

Step-by-step explanation:

tan 30 = 9 / x.

tan 30*x = 9

x = 9 / tan 30

x = 15.58

To find y, the value of X will be needed, which is 15.5 that we just found.

Cos= A/H

Cos 30 = 15.58/ y

Cos 30 * y = 15.58

y = 15.58/ cos 20

y = 17.99

Please help!

A rectangular tabletop has an area of.......

[tex]t^2+2t-99[/tex]

What are the possible dimensions of the tabletop? Use factoring.

Answers

Answer: t-9 and t+11

The order doesn't matter, so you could say "t+11 and t-9" to mean the same thing.

=======================================================

Explanation:

Think of two numbers that multiply to -99, but also add to 2. In other words, find two factors of -99 which add to 2. We'll use trial and error.

Here are all the ways to multiply to -99 using integers only:

1 and -993 and -339 and -1111 and -933 and -399 and -1

Add up each factor pair to see which sum is equal to 2.

1 + (-99) = -983 + (-33) = -309 + (-11) = -211 + (-9) = 2 is what we want33 + (-3) = 3099 + (-1) = 98

We can see that 11 and -9 are the two numbers we're after, so therefore, t^2+2t-99 factors to (t-9)(t+11). The order doesn't matter with the factor multiplication.

As a more efficient alternative method, you can use the quadratic formula to solve t^2+2t-99 = 0 to end up with t = 9 and t = -11. That would lead to the  two equations t-9 = 0 and t+11 = 0. Applying the zero product property then gets us (t-9)(t+11) = 0.

To help show that (t-9)(t+11) becomes t^2+2t-99, you can use the FOIL rule to expand that factorization out. This is one way to verify the answer.

Are the dotted lines in the shape parallel, perpendicular or intersecting?

Answers

Answer:

Parallel

Step-by-step explanation:

The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.

Have a great day <3

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