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2 years ago

Find the value of x and pls explain!!❤❤❤

Mathematics

1 answer:

AlexFokin [52]2 years ago

5 0

Answer:

x = 52 degrees.

Step-by-step explanation:

Here we make use of the fact that the interior angles of any triangle add up to 180 degrees. Before this we must find an algebraic expression for interior angle RQS:

Since angle RQS + x + 72 = 180 degrees, angle RQS is equal to 180 -72 - x, or 108 - x.

The sum of the three interior angles is then

108 - x + 90 + 34, or 232 - x degrees, and this sum must equal 180 degrees.

Then 232 - x = 180. Solving for x, we get x = 52 degrees.

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The distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t2 where d equals the

nignag [31]

Assuming that by "16t2" you mean $16t^2$ :

First of all, let's compute the position at the two required times:

$d(2)=16\cdot 2^2 = 16*4 = 64$

$d(5)=16\cdot 5^2 = 16*25 = 400$

So, the ball traveled a total distance of $\Delta d = 400-64 = 336$ , during the time $\Delta t = 5-2 = 3$ .

The average rate of change is the ratio between these two:

$\frac{\Delta d}{\Delta t} = \frac{336}{3} = 112$

3 0

3 years ago

Read 2 more answers

Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd C

natka813 [3]

The interpretation of the given question is as follows:

Use the given inverse to solve the system of equations

$x- y - z = -6 \\ \\ 2y + z = -6 \\ \\ 3x -8 y = - \dfrac{1}{2}$

The inverse of $\left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right] is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]$

x =

y =

z =

Answer:

x = - 1.5

y = - 0.5

z = - 5

Step-by-step explanation:

Using the correlation of inverse of matrix AX = B to solve the question above;

AX = B

⇒ A⁻¹(AX) = A⁻¹ B

X = A⁻¹ B

So ;

X = A⁻¹ B

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =$ $\left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =$ $\left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(\dfrac{-3}{2})\\(\dfrac{-1}{2})\\(-5)\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-1.5\\-0.5\\ -5\end{array}\right]$

5 0

2 years ago

Question<br> Find |−68|.

alexdok [17]

Answer:

Hey! The answer to your problem is 68!

Step-by-step explanation:

The Absolute value of any negative number is itself so |-4| would be 4

Hope this helped :)

7 0

2 years ago

Read 2 more answers

Danielle invests $2,007 in a retirement

ivanzaharov [21]

Formula For finding Simple interest= Profit x rate x time/ 100

Profit = $2,007 x Rate= 7% x Time = 16 years

2,007 x 7 x 16
__________ = 224,784 ÷100 = 2,247.84
100

Answer :- 2247.84

5 0

3 years ago

Read 2 more answers

If Sarah has 30 bills in her wallet worth $240, all fives and tens, how many of each bill does she have? help

Ivenika [448]

Answer:

12 fives and 18 tens

Step-by-step explanation:

solving this we need 2 different equations

one for he total bills and one for the total money

x+y=30

that is total bills

5x+10y=240

combining both equations we can use elimination method and get

12 five dollar bills and 18 ten dollar bills

5 0

2 years ago