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2 years ago

7

Find the value of X. Round to the nearest tenth

1 answer:

postnew [5]2 years ago

3 0

9514 1404 393

Answer:

88.2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relation ...

Tan = Opposite/Adjacent

tan(10°) = x/500

x = 500·tan(10°)

x ≈ 88.2 . . . . units

_____

If you move the "500" dimension to the top of the figure, you see it is adjacent to the given angle, and the value x is opposite.

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20 points!! Solve this system of lineal equations.separate the x- and y- values with a comma

Zielflug [23.3K]

Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
Collect results:Answer: {x = 4 {y = 1

Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.

7 0

3 years ago

The riding stables just received an unexpected rush of registrations for the next horse show, and quickly needs to create some a

liraira [26]

Answer:

Maximum added area will be 60,000 ft²

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

Step-by-step explanation:

Consider the provided information.

There is sufficient funding to rent 1200 feet of temporary chain-link fencing.

The plan is to form two paddocks with one shared fence running down the middle.

The total length of fencing is 1200 feet that is same as the total perimeter including that shared line down the middle.

Therefore, the perimeter is

$P = 1200 = 2L + 3w$

Solve for L

$1200-3w = 2L$

$L=600-\frac{3w}{2}$

As we know the area of rectangle is A=L×W

Substitute the value of L in above formula.

$A=(600-\frac{3w}{2})\times w\\A=600w-\frac{3w^2}{2}$

$A=-\frac{3w^2}{2}+600w$

The above equation makes a downward parabola.

In order to find the maximum, find the vertex of parabola as shown:

$W=\frac{-b}{2a}=\frac{600}{2\times\frac{3}{2}}=200$

Hence, the width should be 200 ft in order to get maximum area,

Therefore, the length will be:

$1200 = 2L + 3(200)$

$L=300$

Now substitute the value of L and W in area formula.

A=300×200=60,000

Hence, maximum added area will be 60,000 ft²

Hence, the length should be 300 ft, and each paddock should then be 150 feet long.

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

5 0

3 years ago

Write 80 as a product of prime factors

DedPeter [7]

80=20x4=10x2x2x2=5x2x2x2x2

5x2x2x2x2

6 0

3 years ago

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HELP ASAP its due today<br> also please include the work if possible

castortr0y [4]

Use photomath. it shows the work too

6 0

3 years ago

james is in charge of the decorations. he has a total budget of $50 dollars to spend for all of the decorations. James spends $2

DedPeter [7]

Answer:

15

Step-by-step explanation:

30 divided by 2 = 15

7 0

3 years ago

Read 2 more answers