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3 years ago

Need help with these two questions. I do not have a special calculator.

Mathematics

2 answers:

rjkz [21]3 years ago

8 0

19 . Prob( 2 reds) = 1/2 * 25/51 = 25/102

20. This would be 15C12 = 15C3 = (15*14*13) / (3*2*1) = 455

diamong [38]3 years ago

3 0

Answer:

1 is 25/102

2 is 455

Step-by-step explanation:

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Find the length of side x. Show steps please!

yawa3891 [41]

Answer:

$\large{x=7.4438\ cm\approx7.4\ cm}$

Step-by-step explanation:

Use tangent:

$tangent=\dfrac{opposite}{adjacent}$

We have:

$\alpha=28^o,\ opposite=x,\ adjacent=14\ cm$

$\tan28^o\approx0.5317$

Substitute:

$\dfrac{x}{14}=0.5317$ multiply both sides by 14

$x=7.4438\ cm$

8 0

3 years ago

Can someone please help me thank you

Step2247 [10]

Pick one coordinate point on figure 1 (-4,5)

First rotate 90 degree clockwise rule (x,y) -->(y , -x)
So (-4,5) rotate 90 degree clockwise will become (5, 4)

Then reflection over x a-xis, rule (x,y) -->(x,-y)

So (5, 4) reflection over x a-xis will be (5, -4)

Answer: first option
90 clockwise rotation around the origin, then a reflection across x - axis.

Hope it helps

6 0

4 years ago

What is 42/6 in simplest form

Sindrei [870]

$\frac{42}{6} =\frac{6\times7}{6\times1} =\frac{7}{1} =\boxed{\bf{7}}$

42/6 in simplest form is 7.

4 0

3 years ago

Read 2 more answers

The sum of 3 less than 5 times a number and the number increased by 9 is 24. what is the number?

jonny [76]

The answer is:
x=6

hope I helped!

7 0

3 years ago

Read 2 more answers

(x sin a + y cos a)^2 + (x cos a – y sin a)^2 = x^2 + y^2

kobusy [5.1K]

Answer:

Proved

Step-by-step explanation:

Required

Prove that:

$(x\ sin\ a + y\ cos\ a)^2 + (x\ cos\ a - y\ sin\ a)^2 = x^2 + y^2$

Solving from left to right:

Open brackets

$(x\ sin\ a + y\ cos\ a)(x\ sin\ a + y\ cos\ a) + (x\ cos\ a - y\ sin\ a)(x\ cos\ a - y\ sin\ a) = x^2 + y^2$ $x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a - 2xy\ sin\ a\ cos\ a + y^2\ sin^2 a = x^2 + y^2$