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sveta [45]
3 years ago
11

If a 45º-45º-90º triangle has a hypotenuse of length 9, find the leg length.

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

Answer:

Step-by-step explanation:

x²+x²=9²

2x²=81

x²=81/2=(81×2)/4

x=9√2/2≈4.5√2≈6.36

9.

x²+x²=11²

2x²=11²

x²=11²/2

x=11/√2=11√2/2≈7.78

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melomori [17]

Answer:

5) 2(4 - n) = -3n

2 × 4 - 2 × n = -3n

8 - 2n = -3n

-2n + 3n = -8

1n = -8

n = -8/1

n = -8

6) 5 - 3(2 + 2w) = -7

5 - 3 × 2 + -3 × 2w = -7

5 - 6 - 6w = -7

-1 - 6w = -7

-6w = -7 + 1

-6w = -6

w = -6/-6

w = 1

7) 5(2r + 3) - 5 = 0

5 × 2r + 5 × 3 - 5 = 0

10r + 15 - 5 = 0

10r + 10 = 0

10r = -10

r = -10/10

r = -1

8) 3 - 5(2d - 3) = 4

3 - 5 × 2d - 5 × -3 = 4

3 - 10d + 15 = 4

-10d + 15 + 3 = 4

-10d + 18 = 4

-10d = 4 - 18

-10d = -14

d = -14/-10

d = 7/5

hope this helps you!!

7 0
3 years ago
Is 27/40 equal to 0.0675
9966 [12]

Answer:

No, is 0.675

Step-by-step explanation:

3 0
2 years ago
What is the domain of this function
andre [41]
Since the quantity under a square root must be greater than or equal to zero, you would solve for x by subtracting two, to get that 1/3x must be greater than or equal to zero, then divide by 1/3 on both sides to get that x must be greater than or -6, so the last answer is correct
5 0
3 years ago
Helpppp with the second and third one !!!!
Iteru [2.4K]

Answer:

Add and multiply

Step-by-step explanation:

you add exponents of the same base and multiply exponents and exponents.

6 0
3 years ago
Bob and Jack enter a 1000 km bicycle race. Bob cycles 4 km/h faster than Jack, but his bicycle gets a flat tire, which takes 30
podryga [215]
Let Jack's speed be x. Bob's is then x + 4.

Jacks time for the 1000 km is 1000/x.

 Bob's is 1000/(x+4) + 1/2 (the 1/2 being the 30 minutes he was delayed).

They tied so their times were equal. 1000/x = 1000/(x+4) + 1/2.

We multiply by x(x+4) and get 1000(x+4) = 1000x + x(x+4)/2.
 
Simplifying, we get x^2 + 4x - 8000 = 0. x = [- 4 + √(16 +32000)]/2 = √8004 -2, Jack's speed.

Bob's will be √8004 +2.
This seems way too fast! But I don't see any mistake<span>
</span>
7 0
3 years ago
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