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3 years ago

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

1 answer:

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

8 0

3 years ago

How to write 85,000,011 in expanded form

4vir4ik [10]

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

I'm not sure if this is right because I haven't done expanded form in years. If it isn't, I'm sorry.

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3 years ago

Find the equation for the line that passes through the point (4,2) that is parallel to the line with the equation

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.

y - 2 = 2/3(x - 4)

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

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

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

pickupchik [31]

Answer:

Step-by-step explanation:

6.7 rounds up to 7

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

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

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

$3.1\pm 0.064$

$=(3.1-0.064,\ 3.1+0.064)=(3.036,\ 3.164)\approx(3.0,\ 3.2)$

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