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JulsSmile [24]
3 years ago
8

Find the length of the side f .

Mathematics
2 answers:
Charra [1.4K]3 years ago
6 0
The length of side "f" would be about 9.95.

Using Pythagorean Theorem, you have the hypotenuse or side "c" (18) which is longest side. You also have side "b" (15).
Since the equation is "a^2 + b^2 = c^2”, fill in for "b" and "c" giving "a^2 + 15^2 = 18^2"
Solve for "a". Square each known value, leaving "a^2 + 225 = 324". Subtract 225 from each side, leaving "a^2 = 99" then use the square root on each side. Thus getting "a = 9.94987..., which rounded up is 9.95.

I hope this helps!
algol133 years ago
3 0
I am pretty sure the answer is 10. Someone correct me if I'm wrong
10 {}^{2}  + 15 {}^{2}  = 18 {}^{2}  \\ 100 + 225 = 325 \\  \sqrt{325} = 18
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Work out the value of a and b in the identity.<br> 3ax + 6 - 4(x + b)= 11x + 14
Levart [38]

Answer:

a=5, b=-2

Step-by-step explanation:

If you simplify the equation, you get:

3ax +6 -4x -4b - 11x - 14 = 0 =>

3ax - 15x -4b -8 = 0

group together x's and constants:

(3a-15)x -8 -4b = 0

To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2

5 0
3 years ago
Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.
Anna007 [38]

Answer:

  yes; 1.25

Step-by-step explanation:

The length to width ratios of the rectangles are ...

  A: 12/8 = 1.5

  B: 15/10 = 1.5

  C: 30/15 = 2.0

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Rectangles A and B have the same aspect ratio, so are similar. Rectangle B is a scaled copy of A with a scale factor of 10/8 = 1.25.

7 0
3 years ago
Rachel recorded the number of calls she made at work during the week:
Dmitry [639]

The chi-squared test statistic will be 3.11. The test statistic is contrasted with a predicted value based on the Chi-square distribution.

<h3>What is the chi-squared test statistic?</h3>

Finding the squared difference between the actual and anticipated data values, then dividing that difference by the expected data values, constitutes the test statistic.

The formula for the chi-squared test statistic is;

\sum \frac{(O_i-E_i)^2}{E_i } \\\\

Where,

\rm O_i is the observed value

\rm E_i is the expected value

The chi-square test statics is;

\rm( \frac{18-18}{18} )^2 +( \frac{14-18}{18} )^2 + (\frac{24-18}{18} )^2+( \frac{16-18}{18} )^2 \\\\ 0+ \frac{16}{18}+ \frac{36}{18} +\frac{4}{18}\\\\ \frac{56}{18} \\\\ 3.11

Hence, the chi-squared test statistic will be 3.11.

To learn more about the chi-squared test statistic refer;

brainly.com/question/14082240

#SPJ1

5 0
2 years ago
Convert the quadratic equation y=−4(x−3)(2x+4) from factored form to standard form.
Katyanochek1 [597]

Answer:

y = -8x² + 8x + 48

Step-by-step explanation:

y= −4(x−3)(2x+4)

y = -8x² + 8x + 48

4 0
3 years ago
Solve for B. B x 2 = 36
Drupady [299]

The answer is 18 . Because 36 divided by 2 is 18

3 0
3 years ago
Read 2 more answers
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