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Mrac [35]
4 years ago
15

Find the value of y. 18

Mathematics
1 answer:
Advocard [28]4 years ago
8 0

Answer:30

Step-by-step explanation:

Since it is a right angled triangle we can apply Pythagoras principle to get y

Adjacent=a=18

Opposite=k=24

Hypotenuse =y

y=√(k^2+a^2)

y=√(24^2+18^2)

y=√(24x24+18x18)

y=√(576+342)

y=√(900)

y=30

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Caleb has 20 more books than Danica. If Caleb gives Danica half of his books, Danica will have 4 more books than Caleb. How many
wariber [46]

Answer:

Option E: 24.

Step-by-step explanation:

When Caleb (C) has 20 more books than Danica (D), we have:

C = 20 + D   (1)

Now, when Caleb gives Danica half of his books:

C' = C - \frac{C}{2}   (2)

Danica will have 4 more books than Caleb, so:

D' = D + \frac{C}{2}     (3)    

Also we have that:

D' = C' + 4   (4)  

By entering equation (2) and equation (3) into equation (4) we have:

D + \frac{C}{2} = C - \frac{C}{2} + 4   (5)

From (1) we have:

D = C - 20   (6)

By entering (6) into (5):

C - 20 + \frac{C}{2} = C - \frac{C}{2} + 4

C = 24

And, from (6):

D = C - 20 = 24 - 20 = 4  

Therefore, the correct option is E, Caleb had to start with 24 books.

I hope it helps you!          

3 0
4 years ago
Given m || n, find the value of x and<br> y.
Ann [662]

Answer:

x = 41 , y = 139

Step-by-step explanation:

x and 41° are alternate exterior angles and are congruent , so

x = 41

x and y are a linear pair and sum to 180° , that is

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41 + y = 180 ( subtract 41 from both sides )

y = 139

3 0
2 years ago
Pedro has a square practice net in his backyard. The diagonal of the net is 6 feet. Find the length of one side of the net.
olasank [31]

Answer:

3sqrt2

Step-by-step explanation:

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2a^2 = 36

a^2 = 18

a = 3sqrt2

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5 0
4 years ago
Is y=1x3 a Proportional or a Non-Proportional
Bas_tet [7]

Answer:

 proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

3 0
3 years ago
Please help. loll
tigry1 [53]

Answer:

4 1/3(b-21) im pretty sure

6 0
3 years ago
Read 2 more answers
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