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
Answers
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)
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:
https://brainly.com/question/25834626
Related Questions
The solution of 25x=300 is
Answers
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!
i cant figure out 5/4 divided by 3/5
Answers
Answer:
25/12 is the answer
I hope it helps you
Answer:
0.0833333333
Step-by-step explanation:
id.k if correct i just g00gled it
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9. Only 12 students can be in the next school play.
Let t represent the number of students who tried
out for the play. The number of students who tried
out but did not get a role is 42.
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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.
What is 3 1/4 as a fraction
Answers
Answer:
13 / 4
Step-by-step explanation:
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.
How far, in miles, is it from P to Q?
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
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Answer:
=its 29+29+45
Step-by-step explanation:
hope dis helps
All triangles are equal to ______ degrees
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Answer:
180
Step-by-step explanation:
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5 = 9a + 12b
4 = subtraction
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Answer:
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Step-by-step explanation:
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Answer:
D
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A hen has 50 eggs, she gives .5 to her hubby and they multiply that by 2 how much do they get
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Answer: 50 lol it's the same
Step-by-step explanation: 50*.5 equals 25*2 equals 50 lol have a good day
Answer:
69
Step-by-step explanation:
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Answer:
4, 12, 20, 28, 36
Step-by-step explanation:
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example: x=2 so you do 2(4) - 4
2(4) is 8 and 8 - 4 is 4
y = 4 and so on
Is 12r - 5 the same as -5 + 12r
I'm so tried plz help-
Answers
Answer:
Yes there are same because
Let r=1
then
12r-5 = ( 12*1)-5 = 12 -5 = 7
but
-5 + 12r = -5 + (12*1) = -5 + 12 =7
Please help me......
Answers
Answer:
He's moving 10 meters a second, and the slope is 1/1
Step-by-step explanation:
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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3 + 4(2b - 5)
Answers
Answer:
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Answer:
49.298
Step-by-step explanation:
Radio × π²
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49.298
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Answers
Answer:
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Step-by-step explanation:
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______________________________
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].
______________________________
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Answers
Answer:
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Step-by-step explanation:
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jandjandiqbabjaneba
Which of the following is a pair of
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X
E
B
ОООО
D
В
C
D
A ZAXC and ZCXE
B. ZBXD and ZAXF
C. Z CXE and BXD
D. LAXF and BXE
SUBMIT
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Answer:
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Step-by-step explanation:
Answer:
D. AXF and BXE
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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