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katrin [286]
3 years ago
12

I neeeed help pleeaaase ill make you brainliest

Mathematics
1 answer:
enyata [817]3 years ago
8 0

Step-by-step explanation:

The answer is 45 square root of 110.

Solved on picture

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Pls help trig question!!
s2008m [1.1K]

4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x  -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R}  ~\text{Since}~ -1\leq \sin x \leq 1\\

\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~  [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x =  2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68

5 0
2 years ago
I NEED THIS ASAP 5/8 of 48 is equal to 8/15 of some number. What is this number?
murzikaleks [220]

(5/8) × 48 = (8/15) × n

Multiply by the inverse of the coefficient of n. That inverse is 15/8.

n = (15/8)×(5/8)×48 = (75/64)×48 = 225/4 = 56 1/4

5/8 of 48 is equal to 8/15 of 56 1/4

5 0
3 years ago
Simplify the expression (x - 2y) + (3x + 4y)
CaHeK987 [17]

Simplifying the expression (x - 2y) + (3x + 4y).

Work:

(x - 2y) + (3x + 4y)

Combine like terms.

x + 3x = 4x

-2y + 4y = 2y

Reform the expression.

4x + 2y

Simplified Expression: 4x + 2y.

8 0
3 years ago
What is the distance between (-3, 4) and (5, 1)?
krok68 [10]

Answer:

8.544

I hope this helps!

7 0
3 years ago
Read 2 more answers
What equation does this model show?
Fiesta28 [93]

Answer:

14x-12=9x-25

Step-by-step explanation:

Since the balance is equaled, the equation would read to be 14x-12=9x-25.

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3 years ago
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