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3 years ago

What is the equation for a 75 90 15 triangle

Mathematics

1 answer:

vladimir1956 [14]3 years ago

4 0

Answer:

30,60,90 triangle, which is the lengths 1 √ 3 , and 2 respectively. This is what I have got so far: Using the 30-60-90 Ratio

Step-by-step explanation:

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What is the value of d

Rasek [7]

Answer:

d=62

Step-by-step explanation:

180-56=124

2d=124

Divide both sides by 2

d=62

7 0

3 years ago

Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3. (2 points) Select one: a. x = -4

Kay [80]

Answer:

Step-by-step explanation:

$\dfrac{4}{x}+\dfrac{4}{x^2-9}=\dfrac{3}{x-3}$

Domain:

$x\neq0\ \wedge\ x^2-9\neq0\ \wedge\ x-3\neq0\\\\x\neq0\ \wedge\ x\neq\pm3$

solution:

$\dfrac{4}{x}+\dfrac{4}{x^2-3^2}=\dfrac{3}{x-3}$

use (a - b)(a + b) = a² - b²

$\dfrac{4}{x}+\dfrac{4}{(x-3)(x+3)}=\dfrac{3}{x-3}$

multiply both sides by (x - 3) ≠ 0

$\dfrac{4(x-3)}{x}+\dfrac{4(x-3)}{(x-3)(x+3)}=\dfrac{3(x-3)}{x-3}$

cancel (x - 3)

$\dfrac{4(x-3)}{x}+\dfrac{4}{x+3}=3$

subtract $\frac{4(x-3)}{x}$ from both sides

$\dfrac{4}{x+3}=3-\dfrac{4(x-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x}{x}-\dfrac{(4)(x)+(4)(-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-\bigg(4x-12\bigg)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-4x-(-12)}{x}\\\\\dfrac{4}{x+3}=\dfrac{-x+12}{x}$

cross multiply

$(4)(x)=(x+3)(-x+12)$

use FOIL

$4x=(x)(-x)+(x)(12)+(3)(-x)+(3)(12)\\\\4x=-x^2+12x-3x+36$

subtract 4x from both sides

$0=-x^2+12x-3x+36-4x$

combine like terms

$0=-x^2+(12x-3x-4x)+36\\\\0=-x^2+5x+36$

change the signs

$x^2-5x-36=0\\\\x^2-9x+4x-36=0\\\\x(x-9)+4(x-9)=0\\\\(x-9)(x+4)=0$

The product is 0 if one of the factors is 0. Therefore:

$x-9=0\ \vee\ x+4=0$

$x-9=0$ add 9 to both sides

$x=9\in D$

$x+4=0$ subtract 4 from both sides

$x=-4\in D$

7 0

3 years ago

Ben and Carla each have $10 to spend. They purchase 6 packs of baseball cards for $0.79 each and two balls that cost $5.95 each.

Drupady [299]

Answer:

ok thank you

Step-by-step explanation:

3 0

3 years ago

If y varies directly as x and y=35 when x=7, find y when x=11

sveta [45]

Y=kx
35=7k
35/7=k
k=5

y=5x
y=5×11
y=55

3 0

3 years ago

The degree of the term 2x^3 is A. 2 B. x C. 3 D. 2x

RSB [31]

Thw degree of 2x^3 is c. 3

3 0

3 years ago

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What is the equation for a 75 90 15 triangle​

What is the equation for a 75 90 15 triangle