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Levart [38]
1 year ago
7

What is the solution for x in the equation?

Mathematics
1 answer:
rjkz [21]1 year ago
5 0

Answer:
10

Step-by-step explanation:

-3x+7x-8=34+9x-2

(Combine like terms)

4x-8=32

(Add 8 to each side)

4x=40

(Divide by 4)

X=10

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Consider a triangle with angles 30o-60o-90o, with hypotenuse of length 2. Calculate the lengths of the other 2 sides and store t
kumpel [21]

Answer:

1.00 and 1.73

Step-by-step explanation:

1) Calculating the 1st and the 2nd leg using trigonometric function sine:

sin (30^{0})=\frac{c}{2}\Rightarrow \frac{1}{2}=\frac{c}{2}\Rightarrow 2*\frac{1}{2}=2*\frac{c}{2}\Rightarrow c=1\\sin(60^0)=\frac{b}{2}\Rightarrow \frac{\sqrt{3}}{2}=\frac{b}{2}\Rightarrow b=\sqrt{3}\Rightarrow\: b\approx \:1.73

Once one leg is found there is another way to find the other leg, using Pythagorean Theorem too.

a^{2}=b^{2}+c^{2}\Rightarrow 2^{2}=b^{2}+1^{2}\Rightarrow 4-1=b^{2}\Rightarrow b=\sqrt{3} b\approx 1.73

Sides

a hypotenuse: 2.00

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

b leg: 1.73

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

c leg: 1.00

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4 0
3 years ago
PLEASE HELP ME WITH THIS QUESTION
GREYUIT [131]

Answer:

x = 2√58

Step-by-step explanation:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right triangle)

Find the height of the triangle by using the base and hypotenuse of the smaller interior triangle and Pythagoras' Theorem:

   a² + b² = c²

⇒ a² + 6² = (6√2)²

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⇒ a² = 36

⇒ a = 6

Now we have the base and height of the larger interior triangle, we can calculate x:

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⇒ 6² + 14² = x²

⇒ x² = 232

⇒ x = √232

⇒ x = 2√58

7 0
2 years ago
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