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SOVA2 [1]
2 years ago
8

A softball base is 15 x 15 inches long and wide. What is the length of the diagonal?

Mathematics
1 answer:
Finger [1]2 years ago
4 0

Answer:

15 sqrt 2

Step-by-step explanation:

Use Pythagorean Theorem

a^2 + b^2 = c^2

15^2 + 15^2 = c^2

225 + 225 = 450

Find prime factors of the sq rt of 450

450 = 2 * 3 * 3 * 5 * 5

15 sqrt 2

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What angles could we find sine and cosine for using information for π/4 and π/6?
liberstina [14]
Had to do a bit of guesswork to figure out what you're asking here.  If you're given the 2 angles pi/4 and pi/6, you can find any trig function of either angle.

The sine of pi/4 is  1 / sqrt(2); the cosine is the same.

The cosine of pi/6 is sqrt(3) / 2; the sine of pi/6 is 1/2.

If this isn't quite what you were looking for, try paraphrasing your question to make it clearer.
7 0
2 years ago
Draw a conclusion for the statement if possible. If it is Monday, then the library is closed. Today is Tuesday
USPshnik [31]

Answer:

D. It is not possible to draw a conclusion

Step-by-step explanation:

we are not given enough information about the library schedule.

8 0
2 years ago
Suppose the roots of the equation 2x^2−5x−6=0 are α and β.Find the quadratic equation with roots 1/α and 1/β.​
pochemuha

Answer:

6x² + 5x - 2 = 0

Step-by-step explanation:

Given

2x² - 5x - 6 = 0 ← in standard form

with a = 2, b = - 5, c = - 6, then

sum of roots α + β = - \frac{b}{a} = \frac{5}{2}

product of roots = \frac{c}{a} = - 3, then

sum of new roots = \frac{1}{\alpha } + \frac{1}{\beta }

= \frac{\beta+\alpha  }{\alpha \beta }

= \frac{\frac{5}{2} }{-3} = - \frac{5}{6}

product of new roots = \frac{1}{\alpha } × \frac{1}{\beta }

= \frac{1}{\alpha\beta  } = - \frac{1}{3}

Hence the required equation is

x² + \frac{5}{6} x - \frac{1}{3} = 0 or

6x² + 5x - 2 = 0 ( multiplying through by 6 )

                           

8 0
3 years ago
Whats the sqareroot of 33
andre [41]

Answer:

5.744

Step-by-step explanation:

the answer is 5.744 hope it helps!

3 0
3 years ago
Read 2 more answers
What is the midpoint of the x-intercepts of f(x) = (x – 2)(x – 4)?
tatyana61 [14]
The x-intercepts are readily identified on the graph:  (2,0) and (4,0).  The midpoint of a line connecting those 2 points would be (3,0).
8 0
2 years ago
Read 2 more answers
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