Type the expression that results from the following series of steps:

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

5 0

The expression would be (X-6)/7

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Dean and his friends went to Aqua World Water Park, where they floated down the Lazy River for 1 2 of an hour. This was 1 4 of t

Kisachek [45]

1/2 of an hour is 30 minutes
That’s 1/4 of the total amount of time they spent in the park
So, 30 minutes x 4 would be 120 minutes or 2 hours which means they spent 2 hours at the water park

3 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST THANK YOU

Alina [70]

Answer:

$\huge\boxed{\sf 46}$

Step-by-step explanation:

<u>Formula for area of rectangle:</u>

= length × width

<u>Area of the smaller rectangle:</u>

length = 7

width = 6

= 7 × 6

= 42

<u>Area of the larger rectangle:</u>

length = 7 + 4 = 11

width = 6 + 2 = 8

= 11 × 8

= 88

<u>Area of the shaded region:</u>

= Area of the larger rectangle - Area of the smaller rectangle

= 88 - 42

= 46

$\rule[225]{225}{2}$

Hope this helped!

5 0

3 years ago

Pls help trig question!!

s2008m [1.1K]

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

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