Given that Ray AB is an angle bisector, solve for x. Show your work for full credit

Find The area of the triangle given that sin(C) equals 1/2 round the answer to the nearest whole number

rusak2 [61]

Answer:

I need a picture

Step-by-step explanation:

How you find the area of a triangle is by doing the base times the hieght times 1/2

Exsample:

Say i have a triangle with base of 6 and a height of 3.5 the eqution would look like this

1/2(6 x 3.5) first solve whats in the parenthies so it would look like;

1/2 x 21 then just solve ;

10.5 or 10 1/2

hope this helps!

7 0

3 years ago

The First National Bank of Wilson has 600 checking account customers. Recent sample of 50 of these customers show 29 have a visa

uranmaximum [27]

Answer:

$0.58 - 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.466$

$0.58 + 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.694$

The 90% confidence interval would be given by (0.466;0.694)

Step-by-step explanation:

The estimated proportion of interest would be:

$\hat p=\frac{29}{50}= 0.58$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

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

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.58 - 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.466$

$0.58 + 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.694$

The 90% confidence interval would be given by (0.466;0.694)

4 0

4 years ago

Find the distance between the pair of points (2,9) and (3,8).

xxTIMURxx [149]

Answer:

$\sqrt{2}$ units

Step-by-step explanation:

To find the distance between a pair of points, use the distance formula, $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ . Substitute the x and y values of (2,9) and (3,8) into the formula and simplify:

$d = \sqrt{(8-9)^2+(3-2)^2} \\d = \sqrt{(-1)^2+(1)^2} \\d = \sqrt{1+1} \\d= \sqrt{2}$

So, the distance is $\sqrt{2}$ units.

8 0

3 years ago

PLEASE help me with this! (50+ Points)

____ [38]

Answer:

2

Step-by-step explanation:

slope=∆y/∆x

thus any values of x and y in the table can be used.

slope=(11-9)÷(4-3)

slope= 2.

8 0

3 years ago

A person places $686 in an investment account earning an annual rate of 3.8%, compounded continuously. Using the formula V = Pe^

kykrilka [37]

Answer:

V = $1213.03

Step-by-step explanation:

We can determine the amount of money after 15 years with the given formula:

$V = Pe^{rt}$ (1)

Where:

V: is the value of the account in t years =?

P: is the principal initially invested = $686

r: is the rate of interest = 3.8% = 3.8/100 = 0.038

t: is the time = 15 years

By substituting the above values into equation (1) we have:

$V = Pe^{rt} = 686*e^{(0.038*15)} = 1213.03$

Therefore, the amount of money is $1213.03.

I hope it helps you!

6 0

3 years ago