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satela [25.4K]
2 years ago
13

I need help with geometry

Mathematics
1 answer:
astra-53 [7]2 years ago
8 0

Answer:

13

Step-by-step explanation:

Use the Pythagorean theorem:

  • a^2 + b^2 = c^2
  • 5^2 + 12^2 = c^2
  • 25 + 144 = c^2
  • c^2 = 169
  • 13

Note: This also happens to be a Pythagorean triple where all three numbers are integers. These can be memorized.

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How much sparkling water would you need to mix with 9 quarts of grape juice
shusha [124]

Answer:

24oz

Step-by-step explanation:

6 0
3 years ago
11.1.30<br> How many three-digit even numbers are possible if the leftmost digit cannot be zero?
Ann [662]

The total number of 3 digit even numbers is 450

Step-by-step explanation:

Step 1 :

We need to determine the  number of 3 digit numbers which is even and the leftmost digit is not zero .

The  3 digits with left most digit not equal to zero starts from 100 and goes up to 998

If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.

Step 2:

The last number l  in this series is 998 .

So we have

a = 100

l = 998

d = 2

The nth term in the arithmetic progression is given by a + (n-1) d

so substituting the above values we get

100 + (n-1) 2 = 998

2n = 900  => n = 450

Step 3 :

Answer :

The total number of 3 digit even numbers is 450

4 0
3 years ago
X2 + 8x + 6
Svetradugi [14.3K]
You could put the ‘+6’ at the start of the equation so it would read as +6(x2+8x) and then expand the bracket as you normally would so you would get x2x6 which would get you 12x and then 6x8x which would get you 48x and then you could group both numbers together as they’re like terms and your final answer would be 60x
6 0
2 years ago
the starving actors guild holds its annual winter arts festival in hopes of raising $13,344 by selling 824 tickets. The guild ch
kap26 [50]
A + c = 824                             represents number of tickets to sell
20a + 12c = 13,344                represents cost of each type of ticket

multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'

-12(a + c = 824)

-12a - 12c = - 9888
 20a + 12c = 13,344         add equations together
-----------------------------
    8a          = 3456           divide both sides by 8
     a = 432

To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392

adult 432, children 392
8 0
3 years ago
Can someone help me
worty [1.4K]

Answer:

B = 129

Step-by-step explanation:

Opposite angles of a parallelogram are equal (or congruent)

A and C are both 51.

All angles in a parallelogram equal 360

Take both the known angles and substract from 360, than divide by 2.

B = (360 - 51 - 51)/2

B = 129

7 0
3 years ago
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