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Effectus [21]
1 year ago
15

Which equation can be used to solve for the measure of angle abc? tan(x) = startfraction 2.4 over 10 endfraction tan(x) = startf

raction 10 over 2.4 endfraction sin(x) = startfraction 10 over 10.3 endfraction sin(x) = startfraction 10.3 over 10 endfraction
Mathematics
1 answer:
Len [333]1 year ago
3 0

The equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3

<h3 /><h3>SOH CAH TOA identity</h3>

The identity is used to find the measure of sides and acute angles of a right triangle

From the diagram shown, <ABC is the reference abgle hence;

Opposite side = 2,4cm

Hypotenuse .=10.3cm

According to the identity

sin x = opp/hyp

sinx = 2.4/10.3
sinx = 0.233

x =  13.47 degrees

Hence the equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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What property is 4x + 8 = 28
Verdich [7]

Answer:

x=5

Step-by-step explanation:

4x + 8 = 28,

it's rather straight forward,

you would subtract 8 from the left side,

doing the same on the right.

now you have

4x = 20

x= 20/4

x=5

hope this helps.

4 0
3 years ago
If x+y = -1, and xy= -12, what is the value of (x+3) (y+3) ?
9966 [12]

Answer:

Here are my hints. You can solve it yourself

1/ xy = -12      -->      x = -12/y

2/ (-12/y) + y = -1      -->     -(12/y) + (y²/y) = -1    -->    -12 + y² = -y   -->    y²+y-12=0

3/ From y²+y-12=0 we can find y then use y to find x and then do your

(x+3) * (y+3)

7 0
3 years ago
Find the value of x in degrees
ipn [44]

Answer:

x=37

Step-by-step explanation:

angles inside a triangle add up to 180

add all angles equal to 180

(x+10)+(3x-5)+(x)=180

remove parenthesis, combine like terms

5x-5=180

add 5 both sides

5x=185

divide by 5

x=37

angles: 37, 47, 106

4 0
2 years ago
Assume that the helium porosity of coal samples taken from any particular seam is Normally distributed with true standard deviat
riadik2000 [5.3K]

Answer:

a) 4.85-2.33\frac{0.75}{\sqrt{20}}=4.46    

4.85+2.33\frac{0.75}{\sqrt{20}}=5.24    

b) 4.56-2.33\frac{0.75}{\sqrt{16}}=4.12    

4.56+2.33\frac{0.75}{\sqrt{16}}=4.99  

c) n=(\frac{1.960(0.75)}{0.2})^2 =54.02 \approx 55

Step-by-step explanation:

Part a

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The Confidence is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that z_{\alpha/2}=2.33

Now we have everything in order to replace into formula (1):

4.85-2.33\frac{0.75}{\sqrt{20}}=4.46    

4.85+2.33\frac{0.75}{\sqrt{20}}=5.24    

Part b

4.56-2.33\frac{0.75}{\sqrt{16}}=4.12    

4.56+2.33\frac{0.75}{\sqrt{16}}=4.99  

Part c  

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =0.4/2 =0.2  we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(0.75)}{0.2})^2 =54.02 \approx 55

5 0
3 years ago
The number 160 can be written in the form<br> 2n 5.<br><br> Find the value of n. 
White raven [17]
160|2 \\ 80|2 \\ 40|2 \\ 20|2 \\ 10|2 \\ 5 \ |5 \\ 1 \\\\ 160=2^n*5 \\\\\boxed{160=2^5*5} \\\\ \to \boxed{n\to5}}
6 0
3 years ago
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