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kenny6666 [7]
3 years ago
15

Find the value of x?​

Mathematics
1 answer:
yan [13]3 years ago
6 0

Answer:

x≈20.23

Step-by-step explanation:

sin\alpha = \frac{opposite}{hypotenuse} \\sin(40) = \frac{13}{x}\\x=\frac{13}{sin(40)} \\

x≈20.23

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What are the restrictions of the domain of the function F(x) = 1/x^2-9
Sonbull [250]
f(x)=\frac{1}{x^2-9}

The denominator can't be equal to 0.
x^2-9 \not= 0 \\
x^2 \not= 9 \\
x \not= -3 \ \land \ x \not= 3

The domain is all numbers except -3 and 3.
x \in \mathbb{R} - \{-3, 3 \}
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3 years ago
A major baseball diamond is a square with side lengths of 90 feet.
iren2701 [21]

Answer: \bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}

<u>Step-by-step explanation:</u>

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square.  Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}

7 0
3 years ago
suppose Richard walks one kilometer every 10 minutes how many meters are there can you walk in an hour at this new rate
Ipatiy [6.2K]
One kilometer is 1000 meters.  One hour is 60 minutes, or six segments of 10 minutes each.  If you can walk 1000 meters in 10 minutes, you can walk 6000 in an hour (that is REALLY fast, by the way)
3 0
3 years ago
Shandler rides his bike to school every day. He travels to thousand 560 feet in 64 second. How many feet did he travel per secon
zhenek [66]

He traveled 40 feet per second

4 0
3 years ago
Please help quickly. Will mark brainlist!
rusak2 [61]

Answer:

A. 50.24

Step-by-step explanation:

C=2πr=2·π·8=50.24

4 0
2 years ago
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