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3 years ago

A+b-c=180 solve for a

Mathematics

1 answer:

Alchen [17]3 years ago

8 0

A + b - c = 180

a + b - c (+c) = 180 (+c)

a + b (-b) = 180 + c (-b)

a = 180 + c - b

hope this helps

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Rampur Sarpanch requested one of his villager to donate a 6m wide land adjusted to his 132.8m long side of his right triangular

Ronch [10]

Answer:

Area of the remaining triangle with the villager is 1243.13 m²

Step-by-step explanation:

Triangle ABC is the triangular plot of a villager shown in the figure attached.

Sarpanch requested the villager to donate land which is 6 m wide and along the side AC which measures 132.8m.

Other sides of the plot has been given as AB = 50m and BC = 123 m.

Now area of this land before donation = $\frac{1}{2}\times {\text{Height}}\times \taxt{Base}$

= $\frac{1}{2}\times (123)\times (50)$

= 3075 square meter

After donation of the land the triangle formed is ΔDBE.

In ΔABC,

$tan(ABC)=(\frac{AB}{BC})$

tan(∠ABC) = $\frac{50}{123}$

= 0.4065

∠ABC = $tan^{-1}(0.4065)$

= 22.12°

In ΔEFC,

tanC = $\frac{EF}{CF}$

0.4065 = $\frac{6}{CF}$

CF = $\frac{6}{0.4065}$

CF = 14.76 m

Since DE = AC - (CF + AG)

= 132.8 - (2×14.76)

= 132.8 - 29.52

= 102.48 m

Now in ΔDBE,

sin(∠DEB) = $\frac{BE}{DE}$

sin(22.12) = $\frac{BE}{102.48}$

DB = 102.48×0.3765

= 38.59 m

Similarly, cos(22.12) = $\frac{BE}{DE}$

0.9264 = $\frac{BE}{102.48}$

BE = 102.48×0.9264

= 94.94m

Now area of ΔDBE = $\frac{1}{2}(DB)(BE)$

= $\frac{1}{2}(38.59)(94.94)$

= 1831.87 square meter

Area of remaining triangle with the villager = Area of ΔABC - Area of ΔDBE

= 3075 - 1831.87

= 1243.13 square meter

3 0

3 years ago

A rectangle has a heigh if 4x^3 and a width of x^3+3x^2+2x

Andrews [41]

Answer:

Area = $4x^6+12x^5+8x^4$

Step-by-step explanation:

The Complete Question:

A rectangle has height $4x^3$ and width $x^3+3x^2+2x$ . What is the area of the rectangle in terms of x?

Solution:

The formula for the area of a rectangle is:

Area = Height * Width

Both the expressions for height and width is given, so we just need to multiply both the expressions to get an expression, in x, for the area of the rectangle. The algebra is shown below:

$A=(4x^3)(x^3+3x^2+2x)\\A=4x^6+12x^5+8x^4$

This is the area of the rectangle.

8 0

2 years ago

4x - (-6) what’s the answer

OlgaM077 [116]

Answer:

4x + 6

Step-by-step explanation:

If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!

3 0

2 years ago

Whats the product of (3-2i) and (7+6i)?

Alona [7]

Answer: the product is = 33+4i

Step-by-step explanation:

21+4i-12i^2

21+4i-12(-1) i^2=-1

21+4i+12

your answer would be 33+4i .

6 0

3 years ago