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2 years ago

How do you do #1 & #2 ?

Mathematics

1 answer:

Alexeev081 [22]2 years ago

7 0

$Answer: \\ 1. \: x = \frac{ {32}^{2} }{24} = \frac{128}{3} \\y = \sqrt{ {24}^{2} + {32}^{2} } = 40\\ z = \frac{32 \times 40}{24} = \frac{160}{3} \\ \\ 2. \: x = \sqrt{( {4 \sqrt{5} )}^{2} - {8}^{2} } = 4$

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Simplify. f-1g-1 a. f/g b.g/f c.1/fg d.fg

fiasKO [112]

You can rewrite this equation as "f - g - 1". That's all that I see that you can do with this.

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3 years ago

The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean

LiRa [457]

Answer:

$P(X\geq 3.4)=0.0228$

Step-by-step explanation:

Given the mean is 3.2, standard deviation is 0.8 and the sample size is 64.

-We calculate the probability of a mean of 3.4 as follows:

#First determine the z-value:

$z=\frac{\bar X -\mu}{\sigma/\sqrt{n}}\\\\=\frac{3.4-3.2}{0.8/\sqrt{64}}\\\\=2.000$

#We then determine the corresponding probability on the z tables:

$Z(X\geq 3.4)=1-P(X$

Hence, the probability of obtaining a sample mean this large or larger is 0.0228

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2 years ago

In triangle opq right angled at p op=7cm,oq-pq=1 determine the values of sinq and cosq

soldi70 [24.7K]

Answer:

see explanation

Step-by-step explanation:

let pq = x

given oq - pq = 1 then oq = 1 + x

Using Pythagoras' identity, then

(oq)² = 7² + x²

(1 + x)² = 49 + x² ( expand left side )

1 + 2x + x² = 49 + x² ( subtract 1 from both sides )

2x + x² = 48 + x² ( subtract x² from both sides )

2x = 48 ( divide both sides by 2 )

x = 24 ⇒ pq = 24

and oq = 1 + x = 1 + 24 = 25 ← hypotenuse

sinq = $\frac{opposite}{hypotenuse}$ = $\frac{7}{25}$

cosq = $\frac{adjacent}{hypotenuse}$ = $\frac{24}{25}$

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3 years ago

Ryan took out a 66 month loan to pay for a 28500 car.if he paid 33829.50,in total at the end of the loan,find the interest rate

professor190 [17]

9514 1404 393

Answer:

3.4%

Step-by-step explanation:

The total amount due is ...

A = P(1 +rt/12) . . . . . principal P, annual rate r, t months

33829.50 = 28500(1 +66/12r)

1.187 = 1 +5.5r . . . . . divide by 28500, simplify

0.185/5.5 = r = 0.034 = 3.4%

The interest rate on the loan is 3.4%.

3 0

2 years ago

Which equation shows a correct relation for triangle RSQ?

son4ous [18]

Answer:

sinQ=cosR

Step-by-step explanation:

First we need to find out the measure of ∠R.

The sum of all the angles in a triangle add up to 180. Therefore:

∠Q+∠R+∠S=180

66+∠R+90=180

∠R=180-156

∠R=24°

Since ∠Q≠∠R, sinQ≠sinR. So the first option is incorrect - let's try the second one.

sinQ=cosR

sin66=cos24

0.9135454576=0.9135454576

So the second equation is the correct relation.

4 0

2 years ago