Simplify the following surd expressions

a) 5√5 - 2√5

b) 8√7 + 3√7​

Answers

Answer 1

Answer:

a)3√5

b)11√7

is answer.


Related Questions

Help meeeee please, I need this pronto, I will award extra points and brainliest

Answers

Answer:

532 m ^2

Step-by-step explanation:

18x18 + 1/2x8x 16 + 1/2 x 16 x18

324 + 64+ 144 = 532

Is f<12 true or false

Answers

True becuase it works on a graph

Im just going to keep posting this until someone other than those weird link people answer me

Answers

Answer:

Remember that for a triangle rectangle we have the Pythagorean's theorem, it says that the square of the hypotenuse is equal to the sum of the squares of the catheti.

Then if the catheti of a triangle rectangle are A and B, and the hypotenuse is H, we have:

H^2 = A^2 + B^2

In the smaller triangle we can see that:

H = 10

A = 6

Then:

10^2 = 6^2 + B^2

100 = 36 + B^2

100 - 36 = B^2

64 = B^2

√64 = B = 8

And we know that the perimeter of a triangle is equal to the sum of the lengths of it's sides, then the perimeter of the smaller triangle is:

P = 10 + 6 + 8  = 24

Now we know that the triangles are similar and related by a factor of 4/3, then each measurement of the larger triangle will be equivalent to 4/3 times the corresponding measurement of the smaller triangle, then if the measures of the larger triangle are A', B', and H', we can write these as:

A' = (4/3)*A = (4/3)*6 = 8

B' = (4/3)*B = (4/3)*8 = 10.67

H' = (4/3)*H = (4/3)*10 = 13.33

Then the perimeter of the larger triangle is:

P' = 8 + 10.67 + 13.33 = 32

Hope this helps yall! Have an Amazing day!!

Answers

thanks but this isn’t math

If a bag of 12 apples cost $4.20. What is the
cost per apple, or the unit rate?
FAST PLEASE

Answers

Answer:

the answer is going to be 0.35 cents to find the answer all you gotta do is divide 4.20 by 12 ☺ ☺ ☺ ☺ ☺

Jonathan was 45 inches tall when he started kindergarten. He grew an average of 2.5 inches every year. Jonathan is now 62.5 inches tall. ​Which equation can be used to find how many years ago Jonathan started kindergarten, and how many years ago was it?


A. (45 + 62.5) ÷ 2.5 = x 7 years

B. 2.5x + 45 = 62.5 7 years

C. (45 + 62.5) ÷ 2.5 = x 43 years

D. 2.5x + 45 = 62.5 43 years

Answers

Answer:

B; 2.5x + 45 = 62.5

Step-by-step explanation:

Since the current height is 62.5, and the starting height is 45, then all you have to do is subtract 45 from 62.5, then divide that by 2.5 to get your answer, which should be 7 years.

Hopefully this helps- let me know if you have any questions!

(Choose all that apply): Find the exact and approximate volume for the sphere below. Round to the nearest hundredth (two decimal places), and use π = 3.14 to find the approximate volume of the sphere. 37.33π yd³
2143.57 yd³
117.23 yd³
682.67π yd³

Answers

Answer:

What is the radius?

Step-by-step explanation:

Please help with these 3 questions about simplifying square roots...

Answers

Answer:

#2:

To get rid of a radical we multiply the radical by itself, so we multiply [tex]\frac{3}{\sqrt{2}} by \frac{\sqrt{2}}{\sqrt{2}}[/tex]

to get [tex]\frac{3\sqrt{2}}{2}[/tex].

#3:

[tex]\sqrt\frac{2}{5}[/tex] is the same as [tex]\frac{\sqrt{2}}{\sqrt{5}}[/tex] so we multiply by [tex]\frac{\sqrt{5}}{\sqrt{5}}[/tex] so we get [tex]\frac{\sqrt{10}}{5}[/tex].

#4:

We combine like terms to get  [tex]-2\sqrt{2} + 4\sqrt{3}[/tex]

Hope this helps!

Graph the equation 6x - y=-1

Answers

Answer:

[tex] - \frac{146}{5} [/tex]

that the answer

How many kilograms of water must be added to 25 kilograms of a 15% salt solution to produce a 5% solution ?

Answers

Answer:

50kg

Step-by-step explanation:

25 kg of a 15% salt solution

25kg * 15%

25kg * 15/100 = 3.75 kg

3.75kg * 100/5

3.75 * 20 = 75

Mass of water in kg increased from 25kg to 75kg

75kg - 25kg = 50kg of water must be added.

20) The sales tax on a $25 shirt purchased at the Laker Store in Russell Springs is $1.99. What is the sales tax rate in Russell Springs?​

Answers

Answer:

the cost is $26

i think ths answer would be help full

Can someone round these to the nearest .1

1.602564102564103

2.380952380952381

Answers

Answer:

1.6; 2.4

Step-by-step explanation:

five or more round up

4 or less leave as is

Over the past few years, Mitchell has made 99 trips to visit the amusement park. He drove 6,870.1 kilometers in all. To the nearest hundredth of a kilometer, how far did Mitchell drive on each trip?

Answers

Answer:

69.39  kilometers

Step-by-step explanation:

total kilometres driven on each trip = total kilometres driven on all trips / total number of visits

6,870.1 / 99 = 69.394949

To the nearest hundredth means we are rounding off the third number after the decimal point. The second number after the decimal is the hundredth. The third number is less than 4, so zero would be added to the preceding number

69.39 kilometers

Need help plz
What number is half way between 3 and 4?​

Answers

Answer:

um 3.5?

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

if I'm understanding the question correctly, that is the answer

Sophia's math class has 6 fewer boys than girls, and there are g girls. Write
an expression for the number of boys.

Answers

Answer:

g-6=b

hope this helps

For rectangle ABCD, find m∠ADB.

Answers

Answer:

we know all angles are 90° in the rectangle

therefore, angle d = bdc+bda = 90

=> 31+bda = 90

=>angle bda= 59

The measurement of the angle ADB should be considered as the 59 degrees.

Calculation of the measurement of the angle ADB:

Since we know that all angles in the rectangle should be of 90 degrees

So,

Here angle d = bdc + bda

= 90

Now

31 + bda = 90

So, bda = 90 - 31

= 59

hence, The measurement of the angle ADB should be considered as the 59 degrees.

Learn more about rectangle here: https://brainly.com/question/1916433

Tyler used 1 1/2 gallons of paint to paint 5/7 of a fence. How many gallons will it take to paint the whole fence?

1) Write a multiplication equation representing this question.

2) Write a division equation representing this question.

Explain your reasoning.

Answers

9514 1404 393

9514 1404 393

Answer:

  1) (1 1/2)(7/5) = g

  2) (1 1/2)/(5/7) = g

Step-by-step explanation:

1) Tyler has painted 5/7 of the 7/7 of the fence. So the total amount of the fence is (7/7)/(5/7) = 7/5 as much as what was already painted.

The total amount of paint needed is then 7/5 the amount already used:

  g = (7/5)(1 1/2) . . . . . gallons of paint needed for the whole fence

__

2) If g gallons are required for the whole fence, the amount used so far for 5/7 of the fence is 5/7 of the quantity required:

  (5/7)g = 1 1/2

  g = (1 1/2)/(5/7) . . . . division expression for the paint needed

cos B =
tan B =
sin B =​

Answers

The three main trig functions are sine (written as sin), cosine (written as cos), and tangent (written as tan).

Sine of an angle = the length of the side opposite (aka across) the angle / the length of the hypotenuse

Cosine of an angle = the length of the side adjacent (aka the side next to which isn't the hypotenuse) to the angle / the length of the hypotenuse

Tangent of an angle = the length of the side opposite of the angle / the length of the side adjacent to the angle.

The acronym to remember this is SOHCAHTOA

SOH | CAH | TOA

SOH means sin(x) = opposite/hypotenuse

CAH means cos(x) = adjacent/hypotenuse

TOA means tan(x)= opposite/adjacent

cosB = length of adjacent side/length of hypotenuse = 7/25

tanB = length of opposite/length of adjacent = 24/7

sinB = length of opposite/length of hypotenuse = 24/25

If a 18 ft tall tree casts a 9 ft long shadow
then how tall is an adult giraffe standing near it that casts a 7
ft shadow?

Answers

Answer:

[tex] \boxed{ \tt{the \: adult \: giraffe \: is \to \: 14 \: ft}}[/tex]

The height of the giraffe standing near it which casts a shadow of 7 feet is 14 feet.

What is Scale Factor?

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

Actual height of the tree = 18 feet

Height of the shadow = 9 feet

Actual height = 2 × Shadow height

So, here the scale factor is 2.

Given Shadow height of the giraffe = 7 feet

Actual height of the giraffe = 2 ×  height of shadow of the giraffe

                                             = 2 × 7 feet

                                             = 14 feet

Hence the height of the giraffe is 14 feet.

Learn more about Scale Factor here :

https://brainly.com/question/30215119

#SPJ2

PLS HURRY. I WILL GIVE BRAINLY

y ≤ 27. Which of the following statements is the best way to describe the value of y?

The value of y is less than 27.

The value of y is greater than 27.

The value of y is at most 27.

The value of y is at least 27.

Answers

Answer:

(−∞,27]

Step-by-step explanation:

Answer:

C) The value is at most 27

Step-by-step explanation:

A ship has a length of 110 m. A scale model is made of the ship. The model has a length of 2 m. Complete the sentence describing the scale of the model. 1 m represents

Answers

Answer:

55m

Step-by-step explanation:

A scale model is a reduced sized of the actual model

If 2m represents 110m, then 1m = 110/2 = 55m

An isosceles triangle has an angle that measures 134°. Which other angles could be in that isosceles triangle?

Answers

Answer:

[tex]23^{o}[/tex] and [tex]23^{o}[/tex]

Step-by-step explanation:

An isosceles triangle has two of its sides and angles to be equal. Let each of the unknown equal angles be represented by x. Since one of its angles measures  134°, then;

x + x +  134° = [tex]180^{o}[/tex]

2x + 134° = [tex]180^{o}[/tex]

2x = [tex]180^{o}[/tex] - 134°

    = 46

x = [tex]\frac{46}{2}[/tex]

  = [tex]23^{o}[/tex]

x = [tex]23^{o}[/tex]

The other angles that could be in the isosceles triangle are [tex]23^{o}[/tex] and [tex]23^{o}[/tex].

Sara says" If you subtract 12 from my number and multiply the difference by -4 the result is -44. What is Sara's number?

Answers

Answer:

23

Step-by-step explanation:

divide -4 by -44 and you get 11, add 12 because 12 was taken away and you get 23. 11+12=23 23-12=11

what are the solutions to the equation 3x²+15x=18​

Answers

Answer:

x = 1 or x = −6

Step-by-step explanation:

Step 1: Subtract 18 from both sides.

3x2+15x−18=18−18

3x2+15x−18=0

Step 2: Factor left side of equation.

3(x−1)(x+6)=0

Step 3: Set factors equal to 0.

x−1=0 or x+6=0

x=1 or x=−6

Select the answer that correctly orders the set of numbers from greatest to least. 0.25, start fraction 2 over 5 end fraction , 32%, start fraction 7 over 14 end fraction A. start fraction 7 over 14 end fraction, start fraction 2 over 5 end fraction, 32%, 0.25 B. start fraction 7 over 14 end fraction, 0.25, 32%, start fraction 2 over 5 end fraction C. start fraction 7 over 14 end fraction, 32%, start fraction 2 over 5 end fraction ,0.25 D. start fraction 2 over 5 end fraction, start fraction 7 over 14 end fraction, 32%, 0.25 please help ASAPPP

Answers

The answer is A. 7/14, 2/5, 32%, and .25

Answer:

A. 7/14, 2/5, 32%, and .25

Geometry geometry geometry

Answers

Answer:

The equation is the second one

X^2 =6^2+11^2

X value = 12.53

PLEASE HELP AS SOON AS POSSIBLE PLEASE SHOW WORK AND HELP ME UNDERSTAND ASAP WILL GIVE BRAINLIEST

Answers

Answer:

y = 2x + 8

Step-by-step explanation:

Recall that two parallel lines have the same slope.

Thus, if we begin with y = 2x - 4, we know that this new line through (-1, 6) will also have slope 2.

Starting from the slope-intercept form y = mx + b, we substitute 2 for m, -1 for x and 6 for y:

6 = 2(-1) + b

and solve for the new y-intercept, b:

6 = -2 + b, or

b = 8

Then the new line has the equation y = 2x + 8

What is the percent decrease from 20 to 11?​

Answers

Answer:

The decrease from 20 to 11 is 9, and that is 45% of 20.

Hope this helps!

It should be 9, sorry if it’s wrong tho

the side lengths of a triangle are 6,8 and 10 is this a right triangle

Answers

Answer:

Hi friend I am new can you show me how post question pls

Step-by-step explanation:

Suppose a die is tossed 5 times. what is the probability of getting exactly 2 fours?

Answers

Answer:

the probability of getting exactly 2 fours is 0.16

Step-by-step explanation:

The probability of obtaining a number that is four = ¹/₆

The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆

The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways

If the die is tossed five times, the probability of the events is calculated as;

P = 10 x (¹/₆)² x (⁵/₆)³

P = 10 x (¹/₃₆) x  (¹²⁵/₂₁₆)

P = 10 x 0.02778 x 0.5787

P = 0.16

Therefore, the probability of getting exactly 2 fours is 0.16

The probability of exactly [tex]2[/tex] four's in [tex]5[/tex] tosses is [tex]0.1608[/tex].

Probability:

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.

Let [tex]X[/tex] be the number of fours in [tex]5[/tex] coin tosses.

We have no. of tosses [tex]n=5[/tex].

Probability of a success i.e., getting four [tex](p)=\frac{1}{6}[/tex] and probability of not getting a four [tex](q)=\frac{5}{6}[/tex].

[tex]X[/tex] follows a binomial distribution. So,

[tex]P(X=x)=\binom{n}{x}p^{x}q^{n-x}[/tex]

[tex]\therefore[/tex] the probability of exactly [tex]2[/tex] four's in [tex]5[/tex] tosses is given by,

[tex]P(X=2)=\binom{5}{2}\left ( \frac{1}{6}^{2} \right )\left ( \frac{5}{6} \right )^{3}[/tex]

               [tex]=0.1608[/tex]

Learn more about the topic of Probability: https://brainly.com/question/26959834

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