Mathematics High School

Simplify this expression.
[tex]2\sqrt5(13+\sqrt2)[/tex]

Answers

Answer 1

Step-by-step explanation:

everything can be found in the picture

Simplify This Expression.[tex]2\sqrt5(13+\sqrt2)[/tex]
Answer 2

Answer:

[tex]\small{\boxed{\tt{2 \sqrt{5} (13 + \sqrt{2} = 26 \sqrt{5} + 2 \sqrt{10} = 64.3}}}[/tex]

Step-by-step explanation:

Given : Expression

[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]

To find : Simplify the expression

Solution :

Step 1 - Write the expression

[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]

Step 2 - Apply distributive property,

[tex]a(b + c) = a × b + a \times c[/tex]

[tex] = 2 \sqrt{5} \times 13 + 2 \sqrt{5 } \times \sqrt{2} [/tex]

Step 3 - Apply square root property,

[tex] \sqrt{x} \times \sqrt{y} = \sqrt{xy} [/tex]

[tex] = 26 \sqrt{5} + 2 \sqrt{10} [/tex]

or to simplify more substitute the value of [tex] \sqrt{5} = 2.23[/tex] and [tex] \sqrt{10} = 3.16[/tex]

Simplification-

[tex] = 26(2.23) + 2(3.16)[/tex]

[tex]= 57.98 + 6.32[/tex]

[tex]= 64.3[/tex]

Related Questions

Complete the equation describing how x and y are related.

Answers

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

1. What is the equation of the vertical line that passes through the point (3, 4)?

2. What is the equation of the horizontal line that passes through the point (3,4)?

Answers

Answer:

1. the Equation of vertical line=> x=3

2. the Equation of horizontal line

=> y = 4

Answer:

y=4

Step-by-step explanation:

14+ (42 + 7) + 32
Pls help me

Answers

Answer:

95

Step-by-step explanation:

14 + (42 + 7) + 32

14 + 49 + 32

63 + 32

95

Answer:

95

Step-by-step explanation:

Let's use BEDMAS to solve this (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)

1. Calculate the brackets.

42 + 7 = 49

2. Add 14 + 49 + 32

14 + 49 + 32 = 95

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

Find the measurement of the missing side in each right triangle.

Answers

Answer:

12

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

in this case its

[tex]5^{2}[/tex] + [tex]b^{2}[/tex] = [tex]13^{2}[/tex]

25 + [tex]b^{2}[/tex] = 169 subtract 25 from both sides

[tex]b^{2}[/tex] = 144 take square root of each side

b = 12

Answer:

[tex]12[/tex]

Step-by-step explanation:

----------------------------------------

In order to find the missing side of the triangle, we would need to use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]

So,

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

[tex]b^2=144[/tex]

[tex]b=12[/tex]

--------------------

Hope this helps.

What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the segment into a ratio of 2 to 3?

Answers

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

[tex]\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)[/tex]

Therefore, the required point is located as follows;

[tex]\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)[/tex]

The coordinates of the point is (0, -4)

Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?

Answers

To make 90 tortillas, he needs to make 6 batches. 6*15=90
2 cups masa per batch ->. 2 * 6=12 cups Masa
1.5 water per batch -> 1.5. * 6= 9 cups water

Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

What is division?

A method of dividing something into equal parts is called division.

How to solve this problem?

Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.

Edgar wants to make 90 tortillas.

We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.

1 bunch of 15 tortillas needs 2 cups of masa.

So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.

Again 1 bunch of 15 tortillas needs 1.5 cups of water.

So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.

Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

Learn more about division here -

https://brainly.com/question/13706292

#SPJ2

6th grade math help me please

Answers

Answer: £1.18

Step-by-step explanation: 9.44/8 = 1.18

Determine the x and y intercepts for the line 3x – 5y + 15 = 0. Show your work.

Answers

Answer:

Step-by-step explanation:

The x and y intercepts occur when either x or y = 0

For the y intercept, x = 0

3(0) - 5y + 15 = 0

- 5y + 15 = 0                  Subtract 15 from both sides.

-5y = - 15                       Divide by - 5

-5y / -5 = - 15/-5

y = 3

For x intercept, y = 0

3x - 5(0) + 15 = 0

3x + 15 = 0                    Subtract 15 from both sides

3x = - 15                        Divide by 3

3x/3 = - 15/3

x = - 5

xintercept = (-5,0)

yintercept = (0,3)

Write an equation of the line that passes through the points (2, -3) and (1,4).

Answers

i thiiink the line equation would be y=7/1+12

which set of values could be the side lengths of a 30-60-90 triangle

Answers

Answer:

D. 6, 6[tex]\sqrt{3}[/tex], 12

Step-by-step explanation:

the Pythagorean Theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]

so,

[tex]6^{2} =36\\(6\sqrt{3}) ^{2} =108\\12^{2} =144\\36+108=144[/tex]

How many situations are there to the systems of equations graphed below if the lines are uuu parallel?

Answers

Answer:

2

Step-by-step explanation:

Yes the parallel line segment to eat the answer

hey pls help asap
it's urgent due within 1 hr​

Answers

Answer:

I.       C. Both A and B

II.      D. All of the options

III.     B. Help in making people a valuable resource

Help plsssssssssssss

Answers

Answer:

1; 1....... 2;4.....3;5........4;10.....5;5.......6;;5

Step-by-step explanation:

yOU COUNT HOW MANY TIMES YOU SEE 1,2,3,4,5,6

Plot the points P (2, -3) & Q (-5, -3) whose ordinates are same. To which axis the line PQ is parallel.

Answers

Given :

The points P (2, -3) & Q (-5, -3) whose ordinates are same.

To Find :

To which axis the line PQ is parallel.

Solution :

In given points the ordinates are same.

Therefore, the line is parallel to the x- axis.

Hence, this is the required solution.

b) Write down the formula to find the perimeter of a circle.​

Answers

Answer:

C = 2πr

Step-by-step explanation:

We know that, the perimeter of a figure is equal to the sum of all sides.

A circle having no sides.

The perimeter of a circle = The circumference of the circle

The formula for the circumference of the circle is given by :

C = 2πr

Where

r is the radius of the circle

Hence, this is the required solution.

Which radical expressions are equivalent to the exponential expression
below? Check all that apply.

Answers

Step-by-step explanation:

:)

Hola bro espero y te sirva

What is the cube root of 216x^9y^18 ?


A: 4x^3y^6
B: 6x^3y^6
C: 72x^6y^15
D: 213x^6y^15

Answers

[tex]4 {x}^{3} {y}^{6} [/tex]

OPTION A

Answer:

option B

Step-by-step explanation:

Cube root of x means  [tex]x^{\frac{1}{3}[/tex]

Formulas used :

[tex](a^x)^y = a^{xy}[/tex]

[tex](b^3)^{\frac{1}{3}} = b[/tex]

Therefore cube root of :

                   [tex](216 x^9 y^{18})^{\frac{1}{3}} = (6^3 \times (x^3)^3 \times (y^6)^3)^{\frac{1}{3}}[/tex]

                                     [tex]= (6^3)^{\frac{1}{3}} \times ((x^3)^3)^{\frac{1}{3}} \times ((y^6)^3)^{\frac{1}{3}}[/tex]

                                     [tex]= 6 \times x^3 \times y^6[/tex]

                                     [tex]=6x^3y^6[/tex]

Select the correct answer.
Joseph plots the speed of his car and time on a scatter plot. The equation for the line of best fit on his scatter plot is y = -15x + 60, where x is the time in hours and y is the speed in miles/hour. Which statement describes the situation correctly?
A.
The initial speed is 60 miles/hour, and his speed decreases by 15 miles/hour every hour.
B.
The initial speed is 60 miles/hour, and his speed increases by 15 miles/hour every hour.
C.
The initial speed is 0 miles/hour, and his speed increases by 15 miles/hour every hour.
D.
The initial speed is 5 miles/hour, and his speed increases by 30 miles/hour every hour.

Answers

Answer:

its be without a doubt

Step-by-step explanation:

Simplify:9-1÷2÷27^2÷3​

Answers

First let's calculate the exponents.

[tex]27^2 : 729 = 9-1\div \:2\div \:729\div \:3[/tex]

Now we should multiply and divide.

[tex]1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}[/tex]

Now we should add and subtract.

[tex]9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}[/tex]

Convert the improper fractions into mixed numbers.

[tex]8\frac{4373}{4374}[/tex]

Answer :

[tex]8\frac{4373}{4374}[/tex]

somebody help me out asap

Answers

Answer:

the first one doesn't represent function

Step-by-step explanation:

in the domain, x can only be once.

If a value started at 1000, Increased 7 times, and ended at 12000, how much did the value increase each time?

Answers

Answer:

the value of increase each time is 1,571.43

Step-by-step explanation:

Given;

original value of the number, A = 1000

final value of the number, N = 12,000

Assuming the number increased equally each time, let the value of increase each time = x

The following linear equation will be obtained to solve for x;

7x + 1000 = 12,000

7x = 12,000 - 1,000

7x = 11,000

x = 11,000/7

x = 1,571.43

Therefore, the value of increase each time is 1,571.43

A force of 68 N is applied to an area of 540 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.

Answers

Answer:

[tex]P=1259.26N/m^2[/tex]

Step-by-step explanation:

From the question we are told that:

Force [tex]F=68N[/tex]

Area [tex]A=540cm^2=0.054m^2[/tex]

Generally the equation for Pressure is mathematically given by

 [tex]P=\frac{F}{A}[/tex]

 [tex]P=\frac{68}{0.054}[/tex]

 [tex]P=1259.26N/m^2[/tex]

The total length of 8 bricks is 75cm longer than the total length of 5 bricks. Write an equation and solve it to find the length of each brick.

Answers

Answer:

8x = 75 + 5x

where x = length of one brick

25cm

Step-by-step explanation:

URGENT! What are the residuals for the scatter plot. Thank you!

Answers

Answer:

demos & mathaway

Step-by-step explanation:

I know this isn't the answer u wanted but go to demos and hit scattered ploys type the data in a table on demos. and it should give u ur answer. hopefully this helps. if not, I hope someone helps u soon.

find x if the mean of the number is 13 ,2x,0,5x,11 and 9

Answers

Answer:

45/7

Step-by-step explanation:

ok lets first find the total sum. there are 5 numbers so 13*5=65

2x+0+5x+11+9=65

7x=45

x=45/7 or 6.42857143

A gas station sold 300.5849 gallons of gas in a day. How many
gallons of gas did the gas station sell, rounded to the nearest
hundredth?

Answers

Answer:

30058.49

Step-by-step explanation:

b/c when u multiply it in hundredth u can get your answer

The area of a swimming pool is 119 square meters. The width of the pool is 7 meters. What is the length of the pool in centimeters?

Answers

Answer:

17 meters

Step-by-step explanation:

Area = Length x Width

Width = 7

Area = 119

Solving for: Length

Equation:

119 = 7 * x

Solving for Length (x) :

119 = 7 * x

x = 119/7

x = 17

Units = meters

Answer: 17 meters

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Show that the sum of the measures of the external angles of any polygon is 360°. [ HINT:- Draw three different polygons like a triangle, quadrilateral, pentagon. Extend each side, then measure the exterior angles from there. Finally, find the sum of measures of all exterior angles of each polygon.]

Answers

basically get a shape

eg we will work with triangles,, add angles to the inside,, ensuring they add up to 180 (because angles in a triangle add up to 180)

now that we have the angles,, extend each side with a line to show the exterior angles.

we know that angles on a line add up to 180,, so to find the external angle,, we can use our internal angle

you would use:

[ 180- internal angle]

do this for all external angles

add all your answers together,, should equal to 180

Finding a final amount in a word problem on exponential growt....
A certain forest covers an area of 2600 km². Suppose that each year this area decreases by 5%. What will the area be after 5 years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

2012 km squared

Step-by-step explanation:

2600(.95)^5

if its going down by 5 percent, we minus 5 from 100 and put it in decimal form. any decimal lower than 1.00 will result in a lower number. for 5 years, we place 5 as an exponent

uh sorry if that doesn't make a lot of sense

In circle Q with M PQR equals 42 and PQ equals seven units, find the length of arc PR. Round to the nearest hundred

Answers

Answer: [tex]5.13\ \text{units}[/tex]

Step-by-step explanation:

Given

In a circle, [tex]\angle PQR=42^{\circ}[/tex]

[tex]PQ=7\ \text{units}[/tex]

Arc length is given by

[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]

Insert the values

[tex]\Rightarrow l=\dfrac{42^{\circ}}{360^{\circ}}\cdot 2\times \dfrac{22}{7} \times 7\\\\\Rightarrow l=5.13\ \text{units}[/tex]

The length of the arc PR is [tex]5.13\ \text{units}[/tex]

Other Questions
if a 230V television takes a current of 3A. calculate it's power Como explica la lingstica el hecho que los padres y los abuelos no entiendan a los adolescentes (por las palabras que usan)?porfavor respondan i need help with this one plz! (marking BRAINLIST) :) 1. colour\ rainbow \ has \ the \seven. rewrite a string 2m long used to whirl a 200gm stone in horizontal circle at a speed of 2m/s . find the tension in the string please help i will mark you brainliest... A number - _________= the previous number The camping group has 24 ppl in all 21 out of 24 would like a smore it takes 1 min and 30 sec to make each one if two ppl are making them at the same time how long will it take to make one for each person find the area of the irregular figure. 4 in. 7in. 5in. 3in. 4in. 9in. Please help me with this problem If 0(0,0), B(5,0) and C(5,5) are three points. Prove thatOB=OC. Calculate the net present value in US$ of an investment in the health spa only, assuming that the 1,500-square-foot unit is purchased and then resold at the end of 12 years. (Hint: Before making your present value calculations, multiply all amounts expressed in CI$ by $1.25 to convert into US$.) Find the volume of the sphere.Either enter an exact answer in terms of or use 3.1414 for . ~Show all works~~Have a great day~ Which is more important?- pay less interest - Access a higher credit limit or longer 0% APR period, maybe to make a bigger purchaseExplain why Someone help with this please you have to classify and construct the triangles tori uses 1/4 yard of fabric to make a eyeglass case. how many can she make out of 3 yards of fabric? write a division equation. then solve If your neighbour is suufering from corona. what kind of behaviour will you shou to them. Expalin wiczenie2Pocz kade pojcie z waciwym objanieniem. Uwaga! Skrel wyjanienie,ktre nie pasuje do adnego pojcia.UKADW RAPALLOUKADW LOCARNOWOJNA CELNAPOLITYKARWNOWAGIPOROZUMIENIE, NA MOCYKTREGO NIEMCY UZNAYSWOJ GRANIC Z FRANCJI BELGI, ALE NIE Z POLSKUTRZYMYWANIE POPRAWNYCH STOSUN-KW Z ZSRR I NIEMCAMI, BEZ ZBLIANIASI DO ADNEJ ZE STRONPOROZUMIENIE NIEMIECI ZSRR, KTRE NAWIZAYSTOSUNKI DYPLOMATYCZNEI PODJEU TAJNAWSPPRAC WOJSKOWWSTRZYMANIE PRZEZ NIEMCYIMPORTU WGLA Z POLSKI,A POTEM OBUSTRONNY ZAKAZSPROWADZANIA WIELU TOWARWI NAOENIE WYSOKICH CEL NAPOZOSTAEZAJCIE ZAOLZIAPRZEZ POLSKIE WOJSKO If the measure of arc CB is 8/3 pi units, what is the measure of angle CAB what is the meaning of history If d = -3 what is the value of 15 - 3d ?