Ask question

Ask question

All categories

Aleonysh [2.5K]

1 year ago

6

Millie has a bank account balance of $1200. Each week, her balance changes by

2 answers:

Hatshy [7]1 year ago

5 0

Answer:

at least 8

Step-by-step explanation:

AnnZ [28]1 year ago

3 0

Answer:

At least 8

Step-by-step explanation:

I took the test

You might be interested in

Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Ro

Ugo [173]

Answer:

$Side\ B = 6.0$

$\alpha = 56.3$

$\theta = 93.7$

Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with $\alpha, \beta, \theta$

[See Attachment for Triangle]

$A = 10cm$

$C = 12cm$

$\beta = 30$

What the question is to calculate the third length (Side B) and the other 2 angles ( $\alpha\ and\ \theta$ )

Solving for Side B;

When two angles of a triangle are known, the third side is calculated as thus;

$B^2 = A^2 + C^2 - 2ABCos\beta$

Substitute: $A = 10$ , $C =12$ ; $\beta = 30$

$B^2 = 10^2 + 12^2 - 2 * 10 * 12 *Cos30$

$B^2 = 100 + 144 - 240*0.86602540378$

$B^2 = 100 + 144 - 207.846096907$

$B^2 = 36.153903093$

Take Square root of both sides

$\sqrt{B^2} = \sqrt{36.153903093}$

$B = \sqrt{36.153903093}$

$B = 6.0128115797$

$B = 6.0$ <em>(Approximated)</em>

Calculating Angle $\alpha$

$A^2 = B^2 + C^2 - 2BCCos\alpha$

Substitute: $A = 10$ , $C =12$ ; $B = 6$

$10^2 = 6^2 + 12^2 - 2 * 6 * 12 *Cos\alpha$

$100 = 36 + 144 - 144 *Cos\alpha$

$100 = 36 + 144 - 144 *Cos\alpha$

$100 = 180 - 144 *Cos\alpha$

Subtract 180 from both sides

$100 - 180 = 180 - 180 - 144 *Cos\alpha$

$-80 = - 144 *Cos\alpha$

Divide both sides by -144

$\frac{-80}{-144} = \frac{- 144 *Cos\alpha}{-144}$

$\frac{-80}{-144} = Cos\alpha$

$0.5555556 = Cos\alpha$

Take arccos of both sides

$Cos^{-1}(0.5555556) = Cos^{-1}(Cos\alpha)$

$Cos^{-1}(0.5555556) = \alpha$

$56.25098078 = \alpha$

$\alpha = 56.3$ <em>(Approximated)</em>

Calculating $\theta$

Sum of angles in a triangle = 180

Hence;

$\alpha + \beta + \theta = 180$

$30 + 56.3 + \theta = 180$

$86.3 + \theta = 180$

Make $\theta$ the subject of formula

$\theta = 180 - 86.3$

$\theta = 93.7$

5 0

2 years ago

-(1/2)³ is equivalent to?

Brut [27]

Answer:

-0.125

Step-by-step explanation:

- Im learning about this , so im not really sure

5 0

2 years ago

Use parentheses to make this statement true: 8 x 4 - 2 x 3 + 8 / 2 = 25

Vladimir79 [104]

(8 times 4) - (2 times 3 = 8) divided by 2

7 0

2 years ago

Read 2 more answers

Solving a right triangle ‼️ Can someone help me find A,a and c❓ (Round to the nearest tenth)

denis23 [38]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 48)° = 180° - 138° = 42°

----------------------------------------------------------

tan48° = $\frac{opposite}{adjacent}$ = $\frac{18}{a}$

Multiply both sides by a

a × tan48° = 18 ( divide both sides by tan48° )

a = $\frac{18}{tan48}$ ≈ 16.2 ( to the nearest tenth )

-----------------------------------------------------------

sin48° = $\frac{opposite}{hypotenuse}$ = $\frac{18}{c}$

Multiply both sides by c

c × sin48° = 18 ( divide both sides by sin48° )

c = $\frac{18}{sin48}$ ≈ 24.2 ( to the nearest tenth )

4 0

2 years ago

Solve, 3x+18>7, is the question

Lelu [443]

Answer:

I hope this helps

Step-by-step explanation:

give me braineast

3 0

1 year ago