A = 64 cm
ABC
A = 225 cm
In the diagram, how would you determine the length of the hypotenuse using the Pythagorean Theorem?
А
Find the area of the triangle then apply Pythagorean Theorem
B
Subtract the area of the squares and then apply Pythagorean Theorem
С
Add the areas of both squares together and then apply Pythagorean Theorem
D
Find the lenath of one side of each square and then apply the Pythagorean Theorem

A = 64 CmABCA = 225 CmIn The Diagram, How Would You Determine The Length Of The Hypotenuse Using The

Answers

Answer 1

Answer:

The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c.

Step-by-step explanation:

Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²)

Answer 2

The length of the hypotenuse is 17 cm and this can be determined by evaluating the length of one side of each square and then applying the Pythagorean Theorem.

Given :

Area of the small square is 64 [tex]\rm cm^2[/tex].Area of the larger square is 225 [tex]\rm cm^2[/tex].

The side length of the smaller square can be calculated as:

[tex]a^2 = 64[/tex]

a = 8

The side length of the larger square can be calculated as:

[tex]b^2 = 225[/tex]

b = 15

So, the length of the perpendicular is 8 and the length of the base is 15. Now, apply the Pythagorean theorem in order to determine the length of the hypotenuse.

[tex]\rm H^2=P^2+B^2[/tex]

Now, substitute the values of known terms in the above expression.

[tex]\rm H^2=(8)^2+(15)^2[/tex]

[tex]\rm H = \sqrt{64+225}[/tex]

H = 17 cm

Therefore, the correct option is D) Find the length of one side of each square and then apply the Pythagorean Theorem.

For more information, refer to the link given below:

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i cant figure out 5/4 divided by 3/5

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Answer:

25/12 is the answer

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One of the heaviest rainfalls recorded in Greentown in a 24-hour period was 178.8 centimeters. If the rainfall was constant. how many centimeter of rain fell during each hour​

Answers

Answer:

7.45cm

Step-by-step explanation:

178.8 ÷ 24 hours = 7.45 centimetres per hour.

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Step-by-step explanation:

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It park 15 time per min.

Which of the following is a pair of
vertical angles?
X
E
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ОООО
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the answer is D

Step-by-step explanation:

Answer:

D. AXF and BXE

Step-by-step explanation:

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what is this 2x-5+22=?

Answers

Answer: 2x+17

Step-by-step explanation: add -5 and 22

Answer:[tex]\boxed{\boxed{\sf{2x+17}}}[/tex]Solution Steps:

______________________________

1.) Add −5 and 22:[tex]-5+22=17[/tex]

 - You could also solve this by  flipping the numbers around and subtracting 22 - 5, Which still gives you 17.

So your answer is [tex]\bold{(2x+17)}[/tex].

______________________________

The solution of 25x=300 is

Answers

Divide by 25 on both sides which leaves you with x= 300/25. 300 divided by 25 is 12. So x=12

Answer:

The solution of 25x = 300 is 12 . The solution of 25x > 300 is all values greater than 12 .

Step-by-step explanation:

Since the solution to 12x = 300 is 12, any number that is greater than 12 will also be a solution!

8 oranges cost $.78. How much will he spend to buy 40 oranges

Answers

Answer:

$3.90

Step-by-step explanation:

To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.

Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less.

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Answers

Answer:

Distance=12 miles

Step-by-step explanation:

d=distance

t=time going

d/t=40 mph going

t-2/60=time returning      (2 minutes/60 minutes per hour)

d/(t-2/60)=45 mph returning

set up equations:

d=40t

d=45(t-2/60)

substitute:

40t=45(t-2/60)

40t=45t-90/60

40t=45t-3/2

0=5t-3/2

5t=3/2

t=0.3 hours or 18 minutes

(time returning=16 minutes)

substitute:

d=40t=40(0.3)

d=12 miles

P and Q are 12 miles far from each other.

Given that

Patrick drives from P to Q at an average speed of 40 mph

Also he drives from Q to P at an average speed of 45  mph

Let "s" be the distance between P and Q in miles.

Let "t" be  the time in minutes

There are 60 minutes in 1 hours

[tex]\rm So \;in \; "t" \; minutes \; there\; will\; be = \dfrac{t}{60} \ hours[/tex]

By the definition pf average speed we can write that

[tex]\rm Average \; Speed = \dfrac{Total \; distance }{Total \; time}\\[/tex]

The speed is given in two situations in miles per hour

Case 1  When average speed = 40 mph

[tex]\rm 40 = \dfrac{s}{t/60} \\\\\rm {40 = \dfrac{60s}{t} .....(1) }[/tex]

Case 2 When  average speed = 45 mph  

Given that Patrick takes two minutes less  

[tex]\rm 45 = \dfrac{s}{(t-2)/60} \\\\45 = \dfrac{60s}{t-2 } ....(2)[/tex]

Solving for "s" from equations (1) and (2) gives us

[tex]\rm \bold {s = 12}}[/tex]

So we can conclude that P and Q are 12 miles far from each other.

For more information please refer to the link given below

https://brainly.com/question/21470320

Can you help me I dont understand ​

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What don’t you understand?

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Answer:

Step-by-step explanation:

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Answer:

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4, 12, 20, 28, 36

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Answer:

The 10th term=93.9

Step-by-step explanation:

[tex]a_{10} =12+(n-1)9.1\\ = 93.9[/tex]

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Step-by-step explanation:

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Answer:

x= 3/17

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D



jandjandiqbabjaneba

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Answer:

=its 29+29+45

Step-by-step explanation:

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69

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49.298

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13 / 4

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9
R and T are two mutually exclusive events.
P(R) = 0.2 and P(R or 1) = 0.69
Work out P(not T).

Answers

Answer:

P(not T ) =  0.51

Step-by-step explanation:

Step(i):-

Given that the R and T are two mutually exclusive events

P(R∩T) = 0

Addition theorem on probability

P(RUT) =P(R)+P(T) - P(R∩T)

P(RUT) =P(R)+P(T) - 0

P(RUT) =P(R)+P(T)

Step(ii):-

Given P(R) = 0.2 and P(RUT) = 0.69

P(RUT) =P(R)+P(T)

P(T) =  P(RUT) -P(R) = 0.69 -0.2

P(T) = 0.49

P(not T) = 1- P(T)

P(not T ) = 1 - 0.49 = 0.51

Final answer:-

P(not T ) =  0.51

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Answers

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