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jek_recluse [69]
2 years ago
14

you start driving east with 14 miles turn left and Drive North for another 10 miles at the end of driving what is your straight

line distance from your starting point​
Mathematics
1 answer:
Zigmanuir [339]2 years ago
3 0

Answer:

17.205 miles

Step-by-step explanation:

Since these directions form a 90-degree angle, we can use the Pythagorean Theorem.

14^2 + 10^2 = c^2

196 + 100 = c^2

296 = c^2

It doesn't have a perfect square root, you can either say that it is \sqrt{296} or approximately 17.205 miles.

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When plucked, the high E string on a guitar has a frequency of 330 cycles per second. What sine function represents this note wh
Ber [7]

Let's analyse the function

y = f(x) = A\sin(\omega x)

The amplitude is A, so we want A=1.5

Now, we start at x=0, and we have 1.5\sin(0)=0

After one second, i.e. x=1, we want this sine function to make 330 cycles, i.e. the argument must be 330\cdot 2\pi

So, we have

f(1)=1.5\sin(\omega) = 1.5\sin(660\pi)

so, the function is

f(x) = 1.5\sin(660\pi x)

4 0
3 years ago
Read 2 more answers
A cylindrical flower vase has a height of 8 inches and a radius of 2 inches what is the volume of the vase?
natta225 [31]

Answer:

1008.48 in ^2

Step-by-step explanation:

<u>Give</u><u>n</u>

  • Its a cylindrical vase .
  • Radius = 2 inches
  • height = 8 inches .

<u>F</u><u>o</u><u>r</u><u>m</u><u>u</u><u>l</u><u>a</u>

\bold { \purple {volume = \pi \:  {r}^{2}h \:  }}

<u>Lets assume pi to be 3.14</u>

v = 3.14 \times  {2}^{2}  \times 8 \\  \\  \\ v = 3.14 \times 4  \times 8  \\ \\ \\  v = 3.14 \times 32 \\ \\  \\  v = 1008.48 {in}^{2}

6 0
3 years ago
Acellus Find the expected value of a random variable x having the following probability distribution. 0 1 2 3 4 5 Probability 1/
barxatty [35]

Answer:

"2.25" is the right answer.

Step-by-step explanation:

According to the question,

The expected value will be:

= \sum_{i=1}^{n} x_i P(X = x_i)

= 0\times \frac{1}{8}+1\times \frac{1}{4}+2\times \frac{3}{16}+3\times \frac{1}{4}+4\times \frac{1}{6}+5\times \frac{1}{8}

= 0+\frac{1}{4}+\frac{3}{8} +\frac{3}{4}+\frac{1}{4} +\frac{5}{8}

= \frac{1}{4} +\frac{8}{8} +\frac{4}{4}

= \frac{1}{4} +1+1

= 0.25+2

= 2.25

Thus the above is the right approach.

8 0
2 years ago
8. Lucy deposited $1,000 into an account that earns 5% compound interest, compounded annually. How much interest will Lucy earn
Free_Kalibri [48]

Answer:

5 dollars

Step-by-step explanation:

7 0
3 years ago
R(x) = 20x 0,004x² = C(x)800+ 2x + 0.001x²​
il63 [147K]

Answer:

try to use a calculator for it.

Step-by-step explanation:

6 0
3 years ago
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