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vlabodo [156]
3 years ago
8

Find the value of cos x if the value of sin x=3/5 and x is acute angle

Mathematics
1 answer:
just olya [345]3 years ago
3 0
Sin = opposite / hypotenuse
cos = adjacent / hypotenuse

using pythagoras theorem =

adjacent = 5^2-3^2
= 16
= square root 16
=4

cos x = 4/5
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What is the solution to y=6x+25 y=12x-9
prisoha [69]

Answer:

x=17/3, y=59. (17/3, 59).

Step-by-step explanation:

y=6x+25

y=12x-9

--------------

6x+25=12x-9

12x-6x-9=25

6x-9=25

6x=25+9

6x=34

x=34/6=17/3

y=12(17/3)-9=4*17-9=68-9=59

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3 years ago
How to write 85,000,011 in expanded form
4vir4ik [10]

85,000,000 + 000,000 + 000 + 11

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6 0
3 years ago
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siniylev [52]

Step-by-step explanation:

if they are parralel it means gradient is the same

finding equation we find another point which is (x,y)

therefore y - 2/ x - 4 should be equal to 2/3.

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y - 2 = 2/3x - 8/3

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8 0
3 years ago
If Amir is running at a faster pace; 6.7 mph, to the nearest hundredth of an hour , after how much time will Amir catch up to sa
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6 0
3 years ago
A research company desires to know the mean consumption of meat per week among people over age 40. A sample of 610 people over a
Papessa [141]

Answer: (3.0,\ 3.2)

Step-by-step explanation:

Confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}  (1)

, where \overline{x} = Sample mean

z_{\alpha/2}= Critical z-value

\sigma = Population standard deviation.

n= Sample size.

As per given , we have

n= 610

\sigma=1.1

\overline{x}=3.1

Significance level for 85% confidence : \alpha=1-0.85=0.15

By z-table critical two tailed z-value : z_{\alpha/2}=z_{0.075}=1.44

Put all values in (1) , we get

3.1\pm 1.44\dfrac{1.1}{\sqrt{610}}

3.1\pm 1.44\dfrac{1.1}{24.698}

3.1\pm 0.064

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Hence, the 85% confidence interval for the mean consumption of meat among people over age 40.  = (3.0,\ 3.2)

5 0
3 years ago
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