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slamgirl [31]
3 years ago
14

Se this system of equations to answer the questions that follow.

Mathematics
1 answer:
sesenic [268]3 years ago
3 0
To eliminate x, you can multiply the second equation by 2. This will make -2x into -4x, so that 4x and 4x will be able to cancel out leaving you to solve for y.

To eliminate y, you can multiply the second equation by 3. This will make 3y into 9y, so that -9y and 9y will be able to cancel out leaving you to solve for x.
Hope this helped.
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Which numerical expression represents the value (in cents) of 12 dimes?
bekas [8.4K]
B is the answer since dimes are worth 10 cents
4 0
3 years ago
Read 2 more answers
What is 2,168.433 rounded to the nearest mile?
olga nikolaevna [1]

Answer:

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8 0
3 years ago
Read 2 more answers
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
3 years ago
HURRY QUICKLY PLEASE William measures the length of three sides of a building. Place the lengths in order from greatest to least
insens350 [35]

Answer:

104m, 0.096km, 2100cm

Step-by-step explanation:

0.096 kilometres = 9600

2100 cm

104m = 10400 cm

10400, 9600, 2100

104m, 0.096km, 2100cm

Answered by Gauthmath

4 0
3 years ago
The difference of 10 and u
zalisa [80]
<span>Give the Algebraic expression for the difference of 10 and u.
Algebraic expression is the expression that contains the combination of number, variables and operators like addition, division, subtraction and multiplication.
In the given expression we need to convert it into algebraic expression.
=> expression of the difference of 10 and u
=> difference = result of  subtraction
=> 10 is the number to be subtracted by u
=> u = is the unknown number to subtract to 10
=> 10 – u
</span>Pz rate me brainliest
3 0
3 years ago
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