Give the simplified radical form for each side length requested.


Pls answer only if you can explain and if your sure it’s the right answer.

I need help in understanding how to work it myself so please make sure you explain well.

Give The Simplified Radical Form For Each Side Length Requested.Pls Answer Only If You Can Explain And

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

30×60×90 right triangle has side ratios as:

s : l : h = 1 : √3 : 2, where s- short leg, l - long leg, h - hypotenuse

45×45×90 right triangle has side ratios as:

l : l : h = 1 : 1 : √2, where l- legs, h- hypotenuse

If you know one of the sides its easy to find the missing ones.

a) 30×60×90 right triangle

Given l = 12s : 12 : h = 1 : √3 : 2CB = s = 12 / √3 = 12√3/3 = 4√3 AB = h = 2s = 2*4√3 = 8√3

b) 45×45×90 right triangle

Given l = √22BC = l = √22AB = l√2 = √22×√2= √44 = 2√11

c)  30×60×90 right triangle

Given h = 20√6s : l : 20√6 = 1 : √3 : 2BC = s = h/2 = 20√6/2 = 10√6AC = l = s√3 = 10√6×√3 = 10√18 = 10×3√2 = 30√2

Related Questions

PLS HELP WILL MARK YOU BRAINLIEST!

Answers

Answer:

Option C

Step-by-step explanation:

[tex]\frac{(2x^3y^2z)^2(-3xyz^2)^2}{18x^6y^7z^3} =[/tex]

[tex]\frac{(4x^6y^4z^2)(9x^2y^2z^4)}{18x^6y^7z^3} =[/tex]

[tex]\frac{36x^8y^6z^6}{18x^6y^7z^3} =[/tex]

[tex]\frac{2x^2z^3}{y}[/tex]

write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

Answers

Answer:

y = -3/5x + 2

Step-by-step explanation:

-1 = -3/5(5) + b

-1 = -3 + b

2 = b

y = -3/5x + 2

n is an integer greater than 1
Prove algebraically that 10+ n^2 - (n - 2)^2 is always an even number.
Your final line must have, 'always even' as part of the line.

Answers

Answer:

Proof below.

Step-by-step explanation:

Let f(n)=10+ n^2 - (n - 2)^2.

We want to prove f is even for integer n > or = 1.

Let's show f is even for the base case, n=1.

f(1)=10+1^2-(1-2)^2

f(1)=10+1-(-1)^2

f(1)=11-(1)

f(1)=10

f(1) is even.

Let's assume the for some integer k > or = 1 , we have f(k) is even. This means there is some integer m so that f(k)=2m.

Note: f(k)=10+ k^2 - (k - 2)^2.

We want to show f(k+1) is even.

f(k+1)=10+ (k+1)^2 - ([k+1] - 2)^2

f(k+1)=10+ (k+1)^2 - (k-1)^2

f(k+1)=10+ ((k+1)^2 - (k-1)^2)

That difference is a difference of squares. Let's try factoring it.

f(k+1)=10+ (k+1-[k-1])(k+1+[k-1])

f(k+1)=10+ (2)(2k)

Multiply:

f(k+1)=10+4k

Turns out we didn't even need to use our induction hypothesis since 10+4k is 2(5+2k) which makes f(k+1) even given the factor of 2 present.

This proves for all integers n>=1 that f(n) is even.

We could have this without induction then. Let's do that here below this line.

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

10+ n^2 - (n - 2)^2

10+[n^2 - (n - 2)^2]

Factor difference of squares:

10+(n-(n-2))(n+(n-2))

Simplify:

10+(2)(2n-2)

Factor:

2[5+(2n-2)]

Because of the factor of 2, the given expression is always even for integer n.

Two consecutive numbers exist such that the sum of three times the first number and two less than the second number is equal to 144. What are third numbers

Answers

Step-by-step explanation:

two consecutive numbers means that one is larger by 1 than the other number.

so, we have to choices depending on whether the first number (multiplied by 3) is the larger one, or the second number.

to show what I mean, let's start with the second number being the larger one.

we are dealing therefore with x and (x+1).

3x + (x+1) - 2 = 144

4x - 1 = 144

4x = 145

x = 145/4

this is not an integer (but this is necessary to have 2 dedicated consecutive numbers).

so, it is actually not a valid solution.

therefore we are checking the other approach :

we are dealing therefore still with x and (x+1). but now we multiply the other number by 3.

3(x+1) + x - 2 = 144

4x + 1 = 144

4x = 143

x = 143/4

this is still not an integer (but this is necessary to have 2 dedicated consecutive numbers).

so, it is actually not a valid solution either.

and now I am beginning to think you left out some important information in the question.

could it be these 2 numbers are consecutive even or consecutive uneven numbers ?

because then the difference between the both of them is 2 and not 1.

we are dealing therefore with x and (x+2). first attempt to make the smaller number the "first" number :

3x + (x+2) - 2 = 144

4x = 144

x = 144/4 = 36

ah ! now that looks different !

36 and 38 are valid solutions under the changed assumptions. and we are dealing with consecutive even numbers.

let's check :

36×3 + 38 - 2 = 36×3 + 36 = 36×4 = 144

correct.

and fun fact, if we turn this around and make the larger number the "first" number, we are still dealing with x and (x+2), but now we multiply the larger number by 3 :

3(x+2) + x - 2 = 144

4x + 6 - 2 = 144

4x + 4 = 144

4x = 140

x = 140/4 = 35

35 and 37 are also valid solutions under the new assumptions and two consecutive uneven numbers ...

so, please check what your original question (and maybe the headlines and description around it) says. and then pick the right solution.

Gabriella drove to her friend's house and
back. The trip there took six hours and the
trip back took five hours. She averaged
60 km/h on the return trip. Find the
average speed of the trip there.

Answers

She drove 5 hours back at a rate of 60 km/h. Total distance on the way back was 5 x 60 = 300 km

The trip there would be 300 km and she drove for 6 hours

Average speed = 300 km / 6 hours = 50 km/h

Answer: 50 km/h

If you want to save $4500 to go to the Super Bowl, how much will you need to invest in an account now with 6.25% APR, compounding continuously, in order to reach your goal in 4 years? (Round to the nearest dollar)

Answers

if you want to save 4500 to go to the super bowl you will need to invest in 720$

Please help me, If you do not know do not answer

Answers

Rule for function

If Domains of relation have unique Range then it's function otherwise not a function.

Now

FunctionFunctionRelation/Not a functionNot a function/Relation

0.0346 written in standard form​

Answers

Answer:

3.46x10-2

×

10

2

3.46

×

10

2

Explanation:

a number expressed in

standard form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

a

×

10

n

2

2

−−−−−−−−−−−−

where

1

a

<

10

and n is an integer

express

0.0346

as a number between 1 and 10

3

46

we now have to move the decimal point 2 places to

the left to retain equality

move to the right

then n is positive

move to the left ←

then n is negative

0.0346

=

3.46

×

10

2

Shama types at a constant rate she types 12 letters in 4 seconds what is the constant of proportionality for the relationship of letters to minutes

Answer choices

3

48

180

2,880

Help I need this answer fast I’m taking a test and I can’t fail 7th grade

Answers

Answer:

Shama types at a constant rate she types 12 letters in 4 seconds what is the constant of proportionality for the relationship of letters to minutes

Answer choices

3

48

180

2,880

Help I need this answer fast I’m taking a test and I can’t fail 7th grade

Step-by-step explanation:

Shama types at a constant rate she types 12 letters in 4 seconds what is the constant of proportionality for the relationship of letters to minutes

Answer choices

3

48

180

2,880

Help I need this answer fast I’m taking a test and I can’t fail 7th grade

The constant of proportionality for the relationship of letters to minutes is 180.

What is Proportionality?

Two set of quantities are said to be directly proportional or just simply proportional if the corresponding elements of these two sets has a constant ratio. This constant is called the proportionality constant or coefficient of proportionality.

We have the proportional relationship between letters typing and the time in minutes taken to type the letters.

Time taken by Shama to type 12 letters = 4 seconds

                                                                  = 4 / 60 minutes

                                                                  = 1/15 minutes

Proportionality constant can be found by taking the ratio of these quantities.

That is, proportionality constant = 12 / (1/15)

The fraction in the denominator will be taken to the numerator as the reciprocal and the operation changes into multiplication.

Proportionality constant = 12 × (15/1) = 180

Hence the proportionality constant for the relationship of the quantities letters and minutes is 180.

To learn more about Proportionality, click :

https://brainly.com/question/29126727

#SPJ5

what is the answer??????​

Answers

Step-by-step explanation:

Take lcm of 6,8,10 = 120

40 + 60 + 60/ 120

= > 160/ 120

= > 4/3 = 4 (1/3)

Express the following ratio as a fraction then reduce the fraction to the lowest terms

4:6

Answers

Step-by-step explanation:

4:6 as a fraction is 4/6

4/6 in its lowest terms is 2/3

hope this helps

Select the correct answer.

Which graph best represents a function with zeros of -3, 0, and 2?

Answers

Answer: C

Step-by-step explanation:

The answer is C

The graph C. represents the polynomial with zeros of -3, 0 and 2.

What are zeros of a polynomial?

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph.

Or we can say that the x- intercept of the graph of the polynomial are the zeros of that polynomial. Thus, the graph with x - intercept -3, 0, 2 represent the required function.

Learn more about zeros of a polynomial here

https://brainly.com/question/10702726

#SPJ2

10. El siguiente circulo está dividido en 8 rebanadas iguales. ¿Qué fracción del circulo está sombreada?​

Answers

Answer:

2/8

Step-by-step explanation:

2/8 porque ahy 8 y 2 estan coloridas.Si gustarias simplifar seria .25

A 20-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 6 feet from the base of the building. How high up the wall does the ladder reach?

Answers

Answer:

19.1 feet

Step-by-step explanation:

This forms a right triangle

use the pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 20^2

a^2 + 36 = 400

a^2 = 364

a = 19.0787840283

Rounded

19.1 feet

Find the value of x and thank for answer

Answers

X = 70

90 + 90 = 180

360 - 180 = 180

180 divided by 2= 90

90 - 20 = 70°

Type the expression that results from the following series of steps
Start with y subtract d, multiply by a, then add c.

Answers

Answer:

(y-d) × a + c

Step-by-step explanation:

You start with y:

y

subtract d:

y-d

multiply by a:

(y-d) × a

then add c:

(y-d) × a + c

Hope that helps! :)

A polynomial that has two terms is a(n) ?.

Answers

Answer: Binomial

Monomial= 1 term

Binomial= 2 terms

Trinomial=3 terms

Polynomial= 4 terms or more

What is a scalar quantity ?

Answers

Answer:

A scalar quantity is defined as the physical quantity with only magnitude and no direction.

help please???!!!!?!!!!??!!?!!!!!!!!

Answers

Answer:

b,c,f

Step-by-step explanation:

a is -8

b 8

c 8

d -8

e 1-

f 8

g -8

h -8

Which set of ordered pairs (x,y)(x,y) could represent a linear function?

Answers

The answer is B!

Tell me if you want me to explain!

Hope this helped!! :)

help im not good in math

Answers

Answer:

4

Step-by-step explanation:

yeah 4/8 is the answer. yeah-ya

the answer will be 4/8.

Please help. I'm not really good at these kind of problems. Working alone, Dan can do a certain job in three hours and Stan can do the same job in two hours. At these rates, how long would it take Dan and Stan to do this job working together?

Answers

Answer: The answer is it would take Dan and Stan 1 hour if they work together, because 3-2=1, so make those hours and you have 1 hour.

Hope I helped:)

A school of salmon was swimming in the river 5 feet below the surface. To escape a hungry bear, they went down another 3 feet.
What is the position of the salmon now relative to the surface?

Answers

Answer:

-8 feet

Step-by-step explanation:

5 + 3 = 8

Answer:

its 8 feet down...

Step-by-step explanation:

just add 5 plus 3 ? well maybe your doing the math different if it's wrong I'll edit it to make it right.

Khan academy how to find the domain of a function equation.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

1 and 3

Step-by-step explanation:

The reason 1 and 3 are similar due to the fact 3x2 is 6 (one side of 3) and 5x2 is 10 (another side of 3) therefore they are similar because one is sized up slightly.

Please answer! I’ll give you Brainliest

Answers

A)

The four small squares are all 3x3, so the perimeter is 3+3+3+3 = 12.

12 * 4 = 48

We can find the perimeter of the large diamond shape using the Pythagorean theorem, a^2 + b^2 = c^2

a = 4

b = 4

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c = 5.65685425

So the perimeter of the large diamond shape is

5.65685425+5.65685425+5.65685425+5.65685425 = 22.627417

48+22.6 = 70.6

B)

The areas of the small squares are 3x3 = 9

9 * 4 = 36

The area of the large diamond shape is

5.65685425 * 5.65685425 = 32

36 + 32 = 68

Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pencils than cup C. How many pencils does cup B contain?

Answers

Answer:

17 pencils

Step-by-step explanation:

Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.

Tell me if I'm wrong :)

Answer:

12

Step-by-step explanation:

 Find the perimeter. Simplify the answer

Answers

Answer:

20v + 6

Step-by-step explanation:

Perimeter = v + 10 + v + 10 + 9v - 7 + 9v - 7

Perimeter = 2v + 18v + 20 - 14

Perimeter = 20v + 6

-Chetan K

Answer:

Perimeter = 9v - 7 + 9v - 7 + v + 10 + v + 10

= 20v + 6...ans

Step-by-step explanation:

Hope i lt Helps you!!

I need #8 done (Show work) will mark brainliest

Answers

Answer:

see explanation

Step-by-step explanation:

Since BD bisects ∠ ABC , then

∠ ABD = ∠ DBC , substitute values

3x + 4 = 55 ( subtract 4 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17

Step-by-step explanation:

Statement                                          Reason

BD bisects ∠ABC                              Given

m∠ABD = (3x + 4)°, m∠DBC = 55°    Given

∠ABD ≅ ∠DBC                                  Definition of angle bisector

3x + 4 = 55                                         Definition of congruence

3x = 51                                                Subtraction property

x = 51/3                                               Division property

x = 17                                                   Proved

which ordered pair represents the coordinate of point h?
(0.6, - 1.4) (-1.4, 0.6) (-1.2 , 0.3) (0.3, - 1.2)

Answers

Answer:

-1.2 is the answer i think

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