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Sholpan [36]
2 years ago
5

Can 12m, 35m and 37m make a right triangle

Mathematics
2 answers:
lawyer [7]2 years ago
7 0

Answer:

no

Step-by-step explanation:

because a right triangle has one angle that measures at 90 degrees and none of those angle measurements are 90 degrees

antoniya [11.8K]2 years ago
3 0

Answer:

YES

Step-by-step explanation:

Explanation:

If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal.

The Pythagoras Theorem is  

a

2

+

b

2

=

c

2

Substituting we get:

12

2

+

35

2

=

37

2

12

⋅

12

+

35

⋅

35

=

37

⋅

37

144

+

1225

=

1369

1369

=

1369

Because these are equal this is a right triangle.

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Please help 100 points and brainlest for all the answers
masha68 [24]

Answer:

See explanation

Step-by-step explanation:

Q1. The graph of given data is attached.

The relationship is directly proportional as the line connecting all points is straight line passing through the origin.

For every 1 unit change in x, the change of y is 16.

Therefore, the equation that represents this line is

y=16x

If x=10, then y=16\cdot 10=160 square feet.

Q2. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin (see second attached graph).

For every 1 unit change in x, the change of y is 0.45.

Therefore, the equation of the line is

y=0.45x

Q3. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

Find the constant of proportionality:

If x = 2, y = 25, then

when x = 1, y = 12.5

so k = 12.5

and the equation of the line is

y=12.5x

When x=14, then y=12.5\cdot 14=175

Hence, the cost of 14 tickets is $175

Q4. This table does not show the direct variation because

if x = 500 and y = 40, then

for x = 100, y is 40\div 5=8

and for x = 700, y must be 7\cdot 8=56 not 50.

Hence, this relationship does not show the direct proportionality between x and y.

Q5. This elationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

The constant of proportionality is k=1.75

The equation of proportionality is y=1.75x

When y=28, then

28=1.75x\\ \\x=\dfrac{28}{1.75}\\ \\x=16

This means for $28 you could buy 16 ice cream scoops.

Q6. The line passes through the point (2,61), so the constant of proportionality is

k=\dfrac{61}{2}=30.5

The equation of proportional relationship is

y=30.5x

When y=274.50, then

274.50=30.5x\\ \\x=\dfrac{274.5}{30.5}\\ \\x=9

This means you could buy 9 tickets for $274.50

Q7. The equation which represent proportional relationship should have the equation of the form

y=kx

Circle all equations in this form:

y=5x\\ \\p=0.5m\\ \\y=\dfrac{1}{2}x\\ \\M=3n\\ \\y=2x

Q8. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If y is directly proportional to x, the equation is of the form y = kx (where k is a constant).

This means that the graph of direct variation is always a straight line passing through the origin (because x = 0 and y = 0 satisfy the equation for all k).

Not all lines represent the proportional relationship. Only those, which pass through the origin.

4 0
3 years ago
Read 2 more answers
700 - d= 665. please help me
sleet_krkn [62]
Solutions 

700 - d = 665 

To solve the problem lets take out the letter d. 
⇒ Now we have 700 - 665 

700 - 665 = 35 
The letter d is 35 

Check your work 

700 - 35 = 665 

the answer is correct 


8 0
3 years ago
Read 2 more answers
Solve the problem for Y 3x + y = 7
sergejj [24]

Answer:

not possible with info given

Step-by-step explanation:

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I HAVE 5 MINS PLZ HELP!
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