Find the third side in simplest radical form

Find The Third Side In Simplest Radical Form

Answers

Answer 1

Answer:

[tex] 2 \sqrt{71} \: units[/tex]

Step-by-step explanation:

Given is a right angled triangle in which third side is the hypotenuse.

Therefore, by Pythagoras theorem:

[tex]thid \: side = \sqrt{ {15}^{2} + ( \sqrt{59} )^{2} } \\ \\ = \sqrt{225 + 59} \\ \\ = \sqrt{284} \\ \\ = \sqrt{ {2}^{2} \times 71 } \\ \\ = 2 \sqrt{71} \: units[/tex]


Related Questions

the two-way table below shows the intended careers among the incoming class of first-year college students, divided by gender. If a student is chosen and random, what is the probability of the student is female who intends to be a research scientist?​

Answers

Answer:

c. 2.2%

Step-by-step explanation:

The total number of all students in all fields, male and female is 4663.

There are 103 female research scientists.

p(female scientist) = 103/4663 = 0.022 = 2.2%

Math question do not guess

Answers

Answer is the last expression 3^-3 / 3^4

Can someone plz help me solved this problem plz! I need help ASAP! Plz help me solved this problem

Answers

For question A it’s y= 2/7
For question B it’s y=8/7

Answer:

1) 3.5

2) 0.875

5)7y -14

Step-by-step explanation:

1)7y= 0+2

Y= 2/7=

3.5

2)7y= 6+2=8

Y= 8/7=0.875

5) I just multiplied outside value which is7 with the value inside the bracket

I just solve the one I know.

A small cube is cut off from a larger cube as shown .What is the number of FACES and EDGES in the cut cube as shown?
plz answer fast need it urgently​

Answers

Answer:

All cubes, regardless of size, will have 6 faces and 12 edges.

What is the domain of the function shown on the graph?

Answers

Answer:

Step-by-step explanation:

Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is

- ∞ < x < ∞

Yang–Mills existence and mass gap. Solve that ur a genius

Answers

Answer: DescriptionIn mathematical physics, the Yang–Mills existence and mass gap problem is an unsolved problem and one of the seven Millennium Prize Problems defined by the Clay Mathematics Institute, which has offered a prize of US$1,000,000 for its solution. The problem is phrased as follows: Yang–Mills Existence and Mass Gap.

As a member of the Game Shop rewards program, you get a 12% discount on purchases. All sales are subject to an 8% sales tax. Write functions to model the discount and the sales tax, then identify the rule for the composition function that calculates the final price you pay Games Shop.

Answers

Answer:

the answer is 1.041

Step-by-step explanation:

you will do.... 12*8/100

The function to model the amount after the discount is x - 0.12x

The function to model the amount after the sales tax is x + 0.08x.

The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

12% = discount on purchases.

8%  = sales tax.

Now,

If the item cost $x

The function to model the amount after discount.

f(x) = x - (12/100)x = x - 0.12x

The function to model the amount after the sales tax.

g(x) = x + (8/100)x = x + 0.08x

Now,

The rule for the composition function calculates the final price you pay Games Shop.

= x + 0.08x - 0.12x

= x - 0.04x

Thus,

The function to model the amount after the discount is x - 0.12x

The function to model the amount after the sales tax is x + 0.08x.

The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.

Learn more about functions here:

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Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% interest, compounded monthly to reach the goal in 5 years?

Answers

Answer:

$ 809.78

Step-by-step explanation:

Given that

F = future value = $50,000

Interest rate = r = 1.45% = 0.0145

Number of period per year = 12months

Time expressed in years = 5years

The present value of a periodic deposit

P =( F ×r/n)/{ (1+r/n)^nt} -1

Substituting the values into the above formula

P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1

= 50000×0.001208/(1+0.0012)^60}-1

= 60.4/1.0012)^60}-1

60.416/1.074608-1

60.4/0.07460

= $ 809.779

His monthly deposit will be $ 809.78

A counterexample for sinytany=cosy is 0 degrees
true or false?

Answers

Answer:

False

sin (y) / cos (y) = cos (y)

cos (y) could be any value from -1 to 1.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

The table shows ordered pairs of the function y = 16 + 0.5x .

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16.5, y, 21.
Which ordered pair could be the missing values represented by (x, y)?

(0, 18)
(5, 19.5)
(8, 20)
(10, 21.5)

Answers

Answer: The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation: The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight line graph.

The ordered pairs simply means for every value of x, there is a corresponding value of y.

The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row for example, the pair is given as (-4, 14).

This means when x equals negative 4, y equals 14.

Where y = 16 + 0.5x

y = 16 + 0.5(-4)

y = 16 + (-2)

y = 16 - 2

y = 14

Therefore the first pair, just like the other four pairs all satisfy the equation.

Hence, looking at the options given, we can determine which satisfies the equation

(option 1) When x = 0

y = 16 + 0.5(0)

y = 16 + 0

y = 16

(0, 16)

(option 2) When x = 5

y = 16 + 0.5(5)

y = 16 + 2.5

y = 18.5

(5, 18.5)

(option 3) When x = 8

y = 16 + 0.5(8)

y = 16 + 4

y = 20

(8, 20)

From our calculations, the third option (8, 20)  is the correct ordered pair that would fill in the missing values x and y.

Answer:

The missing values represented by x and y are 8 and 20, that is;

(x, y) = (8, 20)

Step-by-step explanation:

2/ 7 − 2/15 = ____ solve ?

Answers

Answer:

16/105

Step-by-step explanation:

2/7 - 2/15 = 16/105

The answer is 16/105

please see the attached picture for full solution

hope it helps

Good luck on your assignment

The length of a rectangle is 2 units greater than the width. The area of the rectangle is 24 square units. What is it's width?

Answers

Answer:

4 units

Step-by-step explanation:

Length would be 6 units and width would be 4 units

6*4 = 24 proving my claim to be true

Answer:

Width = 4 units

Step-by-step explanation:

Let us pose the width as w, and the length as l. If the length is 2 units greater than the width, consider the following;

[tex]l = 2 + w,\\\\w = width,\\l = length[/tex]

The area of this rectangle can be determined through length * width / l * w, and is given to be 24 square units. We can say l = 2 + w instead, solving for the width ( w );

[tex]( 2 + w ) * w = 24,\\2w+w^2=24,\\\left(w-4\right)\left(w+6\right)=0,\\w = 4, w = - 6\\\\Solution - width = 4 units[/tex]

As the width couldn't be a negative value, we had to take the positive of 4 and - 6, which was 4 units.

find the value of A when pi= 3.142 and r= 5

Answers

Answer:

7.855

Step-by-step explanation:

A=pi*r^2=3.142*5^2=3.142*25=7.855

The value of A = 7.855 units.

What is area of circle?

The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately  3.142

Here, given that,

r= 5 units

Then, A=pi*r^2

            =3.142*5^2

            =3.142*25

            =7.855

hence, the value of A = 7.855 units.

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help me
Factor: 5x2 – 15x – 20.

(a) 5(x-4)(x+1),

(b) -2(x-4)(x+5),

(c) -5(x+4)(x-1),

(d) 5(x+4)(x+1).

Answers

Answer:

C

Step-by-step explanation:

5×2=10

10-15x-20

-10-15x

5(-2-3x), or -5(x+4)(x-1) solve it and find your answer

Please help me I’m stuck.

Answers

Answer:

Step-by-step explanation:

We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.

[tex]A=\frac{1}{2}absinC[/tex] , where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,

a = 17, b = 15 and C = 35 degrees.  Filling in:

[tex]A=\frac{1}{2}(17)(15)sin35[/tex]

Do that on your calculator in degree mode and you'll find the area to be

73.1 meters squared

Can u please answer this question in the picture below or above I guess

Answers

Answer: B. 72ᴼ alternate exterior angles theorem

Step-by-step explanation:

Alternate exterior angles because they’re angles on the outside of the transversal.

Alternate exterior angles are also congruent to each other, so that’s why 2 is congruent to 72ᴼ

I Need help please!!

Answers

Answer:

D is answer. So if we do -2 * 3 we get -6, -6-4 = -10. Well that doesn't work for a because its 10 not -10. But we have spotted something already. We do have -2 and -10. Those two work we just tested it, but A doesn't work. The only pair that has the -2 and -10 is d. Sorry for bad english, its not native language

Answer: D

Answer:

d

Step-by-step explanation:

2. A triangle with angle measures 48 degrees, 65 degrees, and 67 degrees is a(n) ________ triangle. *

Answers

__________________________________

The right answer is Acute.

Explanation

Acute angle triangle are those which is more than 0 degree and less than 90 degree.

Hope it help

Good luck on your assignment

________________________________




Which statement best explains why pollution stays within the Earth's atmosphere? *

Answers

Answer:

Because of cars, and factories making it everyday.

Step-by-step explanation:

Urgent! Please help fast! Estimate using mental math: 903.6 ÷ 29.1. Show how you would estimate mentally, then show your estimated answer.

Answers

Answer:

31

Step-by-step explanation:

I would use my fingers mostly.

But, I just do it normally. I pretend I'm using a sheet of paper then I write on it for the equation.

903.6 divided by 29.1

Then I estimate it because I know that 29.1 can go into 903.6 about 31 times. Then I multiply 31 and 29.1 and i get around 903.6.

I hope this helps. I'm sorry if you get this wrong.

Answer:

30

Step-by-step explanation:

Round 903.6 to 900 and 29.1 to 30

So 900/30

= 30

This would be my estimated answer

Also 30^2

= 900

I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?

Answers

Answer:

Step-by-step explanation:

The slope would be determined either by a graph or a equation

you didn't put it in the  picture...

a) Find the square number
7
12
20
25
27
b) Find the cube number
7
12
20
25
27

Answers

Answer:

a) 25

5² = 5×5 = 25

b) 27

3³ = 3×3×3 = 27

(a) The square number is 25.

(b) The cube number is 27.

The following information should be considered:

The square number is the number that should be multiplied by itself.While on the other hand, the cube number is the number that should be multiplied it by 3 times itself.

So based on the given options, we can conclude that

(a) The square number is 25.

(b) The cube number is 27.

Learn more: brainly.com/question/17429689

Help please!
How does the function f(x)=x^2−4x−21 illustrate the Fundamental Theorem of Algebra?

Fill in the blanks. (Hint: Your answers are numbers.)

The degree of f(x) is _____. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly _____ zeros. Those zeros are 7 and _____.

Answers

f(x)=x²−4x−21

The degree is the biggest power of x.  That's a polynomial of degree 2, also called a quadratic function.  Let's find its zeros.

0 = x²−4x−21 = (x - 7)(x+3)

x=7 or x=-3

The fundamental theorem guarantees every non-constant polynomial with complex coefficients has a complex zero, let's call it r.  If we divide the polynomial by x-r there won't be any remainder and we'll get a new polynomial, one degree less.  The fundamental theorem again applies and (if it's not a constant polynomial) we are assured of another zero, s.  We divide by x-s and get a new polynomial of degree one less.  We repeat all this until we get a constant polynomial (degree zero).    So we get a zero for every degree. They're not necessarily all different.

Answer:

The degree of f(x) is 2. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly 2 zeros. Those zeros are 7 and -3.

Find the angle A if angle B is 60 degrees and angle A and angle B are complementary

Answers

Answer:

30 degrees

Step-by-step explanation:

Complimentary = 90 degrees

90 - 60 = 30 degrees

What is the value of this discriminant?

Answers

Answer:

The answer is A.

Step-by-step explanation:

The formula of discriminant is D = b² - 4ac using ax² + bx + c. In this question, a is 1, b is -4 and c is 4. Then substitute the values into the formula :

D = b² - 4ac

D = (-4)² - 4(1)(4)

= 16 - 16

= 0

I think that the answer is a bit I’m not too sure

The diameter of a circle is 222 units. What is the radius of the circle?

Answers

Answer:

111 units

Step-by-step explanation:

the diameter is double the radius so divide 222 by 2 to get 111 units.

Which equation is equivalent to

(1/3)^x= 27^X+2

Answers

Answer:

x=-1½

Step-by-step explanation:

1/3^x=27^x+2

3^-x=3^3x+6

-x=3x+6

-6=3x+x

-6=4x

x=-1½

Which of the following polygons can form a regular tessellation?

Answers

Answer:

option A.

Step-by-step explanation:

The regular polygons that can be used to form a regular tessellation are an equilateral triangle, a square, and a regular hexagon.

HOPE THIS HELPS.

Answer:

a

Step-by-step explanation:

what is 40.8 ÷ 6? Please explain how you got your answer​

Answers

Answer:

6.8

How many 6's can go into 40?

6 + 6 + 6 + 6 + 6 + 6 = 36

6 6's

Subtract the amount off

40.8-36=4.8

How many 6's can go into 4.8?

0.6 + 0.6 +0. 6 + 0.6 + 0.6 + 0.6 + 0.6 + 0.6 = 48

0.8 6's

4.8 = 4.8 = 0

6 6's + 0.8 6's = 6.8 6's

6.8 is the answer

If you have any questions you can ask

Step-by-step explanation:

What is the volume of box B?

Answers

Answer:

Answer:  The box measurements are as follows: Box A: height = 5 inches, length = 18 inches, width = 10. Box B: height = 8 inches, length = 10 inches, ..

Step-by-step explanation:

is this the answer you were looking for

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