Solve for x. Round to the nearest tenth, if necessary.

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

8 0

Answer:

x = 63.9

Step-by-step explanation:

We have:

$\frac{QR}{sin35}$ = $\frac{78}{sin90}$

=> QR × sin90 = 78 × sin35

=> QR × sin90 = 44.7

=> QR = 44.7

But, we also have: $x^{2}$ + $QR^{2}$ = $78^{2}$ <=> $x^{2}$ + $44.7^{2}$ = $78^{2}$ <=> $x^{2}$ = 6084 - 1998.09

=> $x^{2}$ = 4085.91

=> x = $\sqrt{4085.91}$ = 63.9211.. = 63.9

<3 Have a nice day!!

You might be interested in

Question below..................

morpeh [17]

............ ........... .

7 0

2 years ago

|4-24x|=52 absolute value

Verdich [7]

|4-24x|=52
24x=56
2.333~ is your answer

8 0

2 years ago

Someone help me with this math problem pleasee

Mekhanik [1.2K]

Answer:

0.012

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

How much should a family deposit at the end of every 6 months in order to have $4000 at the end of 3 years? The account pays 5.9

ra1l [238]

We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

$PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})$

Where:

$\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}$

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100: