Pythagorean theorem

Pythagorean Theorem

Answers

Answer 1

Answer:

hello

Step-by-step explanation:

a²+b²=c²

16²+b²=65²

256+b²=4225

b²=4225-256

b²=3969

[tex]b = \sqrt{3969}[/tex]

b=63

b=63 mi

have a nice day

Answer 2

Answer:

b = 63

Step-by-step explanation:

In a right angled triangle, hypotenuse squared is equal to the sum of the square of the other sides.

c² = a² + b² (where c is the hypotenuse, and a and b are the other two sides)

c =  65       , a = 16        b = ?

65² = 16² + b²

4225 = 256 + b²

4225 - 256 = b²

b² = 3969

b = [tex]\sqrt{3969}[/tex]

b = 63

check

c² = 16 ² + 63²

   = 256 + 3969

   = 4225

c = √4225

c = 65


Related Questions

What is the area of this tile?
HELPP PLEASEEE

Answers

12? im not sure

i think u need to multiply 6 and 2 to get your answer.

Find the area of the polygon.
is this right?
ERGENT

Answers

Answer:

The answer is in the picture.

15cm²

Evaluate the work below​

Answers

Answer:

[tex]3 \sqrt{2} [/tex]

Step-by-step explanation:

Given

[tex] \frac{ \sin(60) \sec(60) \cot(30) }{ \cos( 45) ) } [/tex]

Using the unit circle, we know that

[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

[tex] \cos(45) = \frac{ \sqrt{2} }{2} [/tex]

We can find sec and cot by using reciprocal identies.

[tex] \sec(x) = \frac{1}{ \cos(x) } [/tex]

[tex] \cos(60) = \frac{1}{2} [/tex]

So

[tex] \sec(60) = 2[/tex]

[tex] cot(x) = \frac{1}{ \tan(x) } [/tex]

[tex] \tan(30) = \frac{1}{ \sqrt{3} } [/tex]

so

[tex] \cot(30) = \sqrt{3} [/tex]

Plug in the values.

[tex] \frac{ \frac{ \sqrt{3} }{2} \times 2 \times \sqrt{3} }{ \frac{ \sqrt{2} }{2} } [/tex]

[tex] \frac{ \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{12} }{1} }{ \frac{ \sqrt{2} }{2} } [/tex]

[tex] \frac{3}{ \frac{ \sqrt{2} }{2} } [/tex]

[tex]3 \sqrt{2} [/tex]

5. Solve: 9(36 – 2) - 2 =
I can’t figure this out

Answers

Answer:

The correct answer is:304

Step-by-step explanation:

Whoever answers correct first I will give BRAINLIEST!!

How many fives
are in 100?

Answers

Answer:

20

Step-by-step explanation:

100/5=20

What is the perimeter of the quadrilateral ABCD?

Answers

Given:

The figure of a quadrilateral ABCD.

To find:

The perimeter of the quadrilateral ABCD.

Solution:

In an isosceles triangle, the two sides and base angles are congruent.

In triangle ABD,

[tex]\angle DAB\cong \angle ABD[/tex]               [Given]

[tex]\Delta ABD[/tex] is an isosceles triangle      [Base angle property]

[tex]AD=BD[/tex]                   [By definition of isosceles triangles]    

[tex]8=BD[/tex]                   ...(i)

In triangle BCD,

[tex]\angle BCD\cong \angle CDB\cong \angle CBD[/tex]        [Given]

All interior angles of the triangle BCD are congruent, so the triangle BCD is an equilateral triangle and all sides of the triangle area equal.

[tex]BC=CD=BD[/tex]

[tex]BC=CD=8[/tex]      [Using (i)]               ...(ii)

Now, the perimeter of quadrilateral ABCD is:

[tex]Perimeter=AB+BC+CD+AD[/tex]

[tex]Perimeter=11+8+8+8[/tex]

[tex]Perimeter=35[/tex]

Therefore, the perimeter of the quadrilateral ABCD is 35 units.

A tortoise and hare are competing in a 1000 meter race. The function f and g are such that f(t) represents the tortoise's distance from the finish line (in meters) t seconds after the start of the race and g(t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race. If we want to compute the number of seconds needed for the hare to finish the race, which procedures should be used?

Answers

Answer:

[tex]g(t) = 0[/tex]

Step-by-step explanation:

Given

[tex]d = 1000m[/tex]

[tex]f(t) \to[/tex] Tortoise

[tex]g(t) \to[/tex] Hare

Required

Time needed by the Hare to complete the race

The function [tex]g(t)[/tex] implies that the Hare is t seconds from completing the race.

When g(t) = 0, it means that the Hare has completed the race

So, to calculate the time needed by the Hare;

We simply equate g(t) to 0, then solve for t

how can i solve the following
4(5x-2) = 2(9x + 3

Answers

20x-18x=6+8
2x=14
X=7
Answer

The price of a product is increased by 30% and then again by 10%. How many per cent did the price increase altogether?​

Answers

Answer:

40%

Step-by-step explanation:

Because you want to know the total percent the price increased so you add the amounts. 30% plus 10% makes 40%

help please! no links :)

Answers

Answer:

The answer is D-27.00 because you are rounding off to the nearest 100 I hope this helps you

Answer:

C. 26.75

Step-by-step explanation:

26.745 is rounded to 26.75

WILL MARK YOU IF YOU CAN HELP plz help me understand this to or add one of my socials to help me with geometry:(

Insta:aesthetictoxicbabe
Snap:Toxicangelbby

Answers

Answer:

17x + 2 = 16x+6

17x-16x= 6-2

x=4

Answer:

5.21212121

Step-by-step explanation:

The first thing to keep in mind is that a line is equal to 180. The first thing you sould start off by doing is write 17x+2+16x+6. Then to make it easier combine the like terms. Both combine 17x + 16x to get 33x, and 6 and 2 to get 8. Now the problem should be 33x + 8 = 180. Next we will take away 8 from both sides. This should eliminate 8 for us and give us 33x=180 as our next problem. Finally you will do the opposite of multiplying which is diving. 33 divided by itself gives us 0. So we will divide 172 by 33 to get 5.21212121.

YOU MAY PLUG THIS NUMBER BACK IN TO CHECK YOUR ANSWER.

If two events are complementary, then we know that: Multiple Choice the sum of their probabilities is one. the joint probability of the two events is one. their intersection has a nonzero probability. they are independent events.

Answers

Answer:

The joint probability of the two events is one.

Step-by-step explanation:

Complementary events:

If two events are complimentary, these three following things are true:

They are dependent.

The intersection of them is zero.

The joint probability of the two events is one.

The last one is the correct choice.

What is the 5 steps in Method of Elimination Steps to Solve Simultaneous Equations..

Answers

Answer:

you first use the coefficients of the letters to times each equation.

Then you either subtract or divide to eliminate the first letter and it coeeffient.

then whatever you get you will divide it with the one with no letter.

then you substitute the answer for the letter in any of the equation.

then you solve it.

I hope this is helpful.

Pls Help I'm really really stumped.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph shown with your problem statement does not pass the vertical line test, so is not the graph of a function. (A vertical line intersects the graph in more than one place.) This graph can be rejected immediately.

I find it convenient to look at the domain statements (x≤1 and x>1). This tells you that you can separately evaluate the graph to the left of x=1 and to the right of x=1. Each of those portions of the graph must match the corresponding expression.

Here, it looks sufficient to identify the slope of the line in each domain. (We don't know what graphs you're selecting from, so we don't know what you will need to look at to differentiate the correct one from the rest.)

For x < 1, the coefficient of x is 3, so the line will have a steep upward slope.

For x > 1, the coefficient of x is -2, so the line will have a slightly less steep downward slope.

The value of z(1) is 3(1)-2=1, so (1, 1) is at the top end of the line forming the left side of the graph. The limit as x approaches 1 from the right is -2(1)+3=1. This means the two lines meet at the point (1, 1) and the graph has a generally ∧ shape. The attachment shows the graph you're looking for.

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x + 3y = -6

Answers

Answer:

y = -3x-2

Step-by-step explanation:

3y = -9x-6. y = (-9x-6)/3. y = (-9x/3)+(-6/3). y = -3x-2

What is the coefficient for the variable d

Answers

A variable by itself doesn't have a co efficient

What is the value of 21 - 4 × ❒ = 5 ? in the equation below? (Show your work)

Answers

Answer:

4

Step-by-step explanation:

21 - 4 × ❒ = 5

-4x = 5 - 21

-4x = 16 (divide both sides)

x = 4

What number must you add to complete the square? x^2+26x=23

Answers

Answer:

169

Step-by-step explanation:

x²+26x=23

=> to complete the square, the equation should be : x²+26x + (26/2)² = 23 + (26/2)²

<=> x² +26x + 13² = 23 + 13²

<=> x² +26x +169 = 23 + 169

<=> (x+13)² = 192

so, (x+13)² is the square form , and 169 must be added to complete the square

x²+26x=23

For 2ab to complete in (a+b)² formula

2ab=26

a=1

2b=26b=13b²=169

So 169 must be added

3
3
X
14. Aşağıdaki cümlelerin hangisinde ikilemenin
oluşum yolu diğerlerinden farklıdır?
L
A) Çamurda bata çıka ilerlemeye çalıştık.
er-
B) Denizde irili ufaklı taşlar vardı.
C) Maaşımla iyi kötü geçinip gidiyoruz.
D) Eski püskü eşyaları kenara ayırdı.
es
?

Answers

Answer:

hygu

Step-by-step explanation:

yg9k

Can y’all help me on question 22?!

Answers

Answer:

245 cubic inches

Step-by-step explanation:

The volume of a rectangular prism is length times width times height.

So in this case we would do, 8 * 2.5 * 12.25 to get 245. So your answer would be 245 cubic inches.

*side note*: 2 1/2 is the same thing as 2.5 and 12 1/4 is the same thing as 12.25

find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST

Answers

Answer:

x = 20

Step-by-step explanation:

90° - 76° = 14°

[tex](x-6)=14[/tex]

[tex](x+6)=+6[/tex]         Add 6 to both sides

   x      =   20

Hence, x = 20

Answer: X=20

Right angles are 90 degrees and 90-76=14... X-6=14... add 6 to 14 and get 20. X=20. Don't quote me on it I haven't done this stuff in a year.

¿ que pasa si no hubieran plantas ?

Answers

Answer:

entonces no habria oxigeno

Step-by-step explanation:

 

5.) $28,000 invested at a rate of 4% compounded annually
a.) Write a compound interest function to model the situation.

Answers

Answer:

ok so we know the amount we know the interest amount but we do know know the period of time so the equation would look like this

28000(0.4)T=I

T=Time

I=interest

Keith is looking at a cliff. He determines that the angle of elevation to the top is 70° from where he is at. 70m away from Keith, Alan estimates the angle between the base of the cliff, himself, and Keith to be 29° while Keith estimates the angle between the base of the cliff, himself, and Alan to be 48°. What is the height, h, of the cliff to the nearest tenth of a metre?
1) 78.8m
2) 83.9m
3) 89.0m
4) 95.7m

This question completely baffled me on my homework, I still haven't done it because I don't even know how to approach it (Since it's a 3D problem)
Please help me out
Also, this homework is due in an hour so I'm starting to sweat

Answers

9514 1404 393

Answer:

  4) 95.7 m

Step-by-step explanation:

The angle at the cliff base between Alan and Keith is ...

  B = 180° -29° -48° = 103°

The law of sines will tell you the distance KB from Keith to the cliff base is

  KB/sin(A) = KA/sin(B)

  KB = KA×sin(A)/sin(B) = (70 m)sin(29°)/sin(103°) ≈ 34.82935 m

The height of the cliff is found from the tangent relation ...

  Tan = Opposite/Adjacent

  tan(70°) = height/(34.83 m)

  height = (34.83 m)tan(70°) = 95.693 m

The height of the cliff is about 95.7 m.

_____

Additional comment

These problems can usually be resolved into two 2-D problems. Here, we can work out the distance we need from Keith to the cliff by considering only the ground plan of the site. Then we can work out the height of the cliff only considering the vertical plane containing Keith and the base of the cliff.

The attachment shows the ground plan triangle KAB.

Help Please!
Please answer the question and please don't type a random thing just to get points.

Answers

Step-by-step explanation:

We need to find a midpoint. A midpoint splits the two end coordinates to meet at a point.

Use midpoint formula

[tex] \frac{ - 2 + 10}{2} = 4[/tex]

[tex] \frac{ - 11 + 1}{2} = - 5[/tex]

So the coordinates will be at

(4,-5)

I need help with this question

Answers

Answer:

56 degrees

Step-by-step explanation:

We know, the sum of the three angles of any triangle is equal to 180 degrees.

63 + 61 = 124

Now, 180 - 124 = 56 degrees

Hope this will help. Please give me brainliest.

56 degrees is the right answer to this question

the question is in the attachment. i know its not A because these angles are not opposite of each other.

Answers

Answer:

hi, it's b because a+b is 180°

PLSSSSSSS HELP !!!!! ASAP PLSSSS !!

Answers

Answer:

Step-by-step explanation:

same side interior angles also mean co interior angle

heree,

1.angle 4 and 6 are same side interior angle

2.angle 3 and 5 are also same side interior angle.

Co-interior angles or same side interior angles  lie between two lines and on the same side of a transversal. In each diagram the two marked angles are called co-interior angles. If the two lines are parallel, then co-interior angles add to give 180o and so are supplementary.

Step-by-step explanation:

i) Angle 4 and 6

ii) Angle 3 and 5

By what percent will a fraction increase if its numerator is decreased by 60% and its denominator is decreased by 20%?

Answers

9514 1404 393

Answer:

  -50%

Step-by-step explanation:

Suppose the fraction is f = p/q before any changes.

Decreasing the numerator by 60% multiplies it by (1 -0.60) = 0.4.

Decreasing the denominator by 20% multiplies it by (1 -0.20) = 0.8.

Then the new fraction is ...

  f' = p(0.4)/(q(0.8)) = (p/q)(0.4/0.8) = f(0.5) = f(1 -0.50) = f(1 +(-50%))

The increase in the value of the fraction is -50%.

Solve 8 = 2x + 4.

Helppppppp

Answers

Answer:

x = -1

Step-by-step explanation:

8 = 2^(x + 4)

Rewriting 8 as 2^3

2^3 = 2^(x + 4)

Since the bases are the same, the exponents must be the same

3 = x+4

Subtract 4 from each side

3-4 =x+4-4

-1 =x

Answer:

This is the answer :

x=–1

Choose (B)

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