3/4 = 0.75 or 75%. So you need to find 75% of 200... Simply multiply 0.75 or 3/4 by 200 and you will get your answer... (0.75)(200) = 150....

You could also realize with this problem that 3/4 of 200 is 150 because 50 goes into 200 4 times. 50 = 1/4, 100 = 2/4 = 1/2, 150 = 3/4 & 200 = 4/4 = 1.

3 0

3 years ago

Hello, precalc, need help on finding csc

Ainat [17]

Recall the double angle identity for cosine:

$\cos(2x) = \cos^2(x) - \sin^2(x) = 1 - 2 \sin^2(x)$

It follows that

$\sin^2(x) = \dfrac{1 - \cos(2x)}2 \implies \sin(x) = \pm \sqrt{\dfrac{1-\cos(2x)}2} \implies \csc(x) = \pm \sqrt{\dfrac2{1-\cos(2x)}}$

Since 0° < 22° < 90°, we know that sin(22°) must be positive, so csc(22°) is also positive. Let x = 22°; then the closest answer would be C,

$\csc(22^\circ) = \sqrt{\dfrac2{1-\cos(44^\circ)}} = \sqrt{\dfrac2{1-\frac5{13}}} = \dfrac{\sqrt{13}}2$

but the problem is that none of these claims are true; cot(32°) ≠ 4/3, cos(44°) ≠ 5/13, and csc(22°) ≠ √13/2...

3 0

3 years ago

The length of a rectangular garden is 8 feet longer than its width. the garden's perimeter is 184 feet. find the length of the g

Brilliant_brown [7]

Width: W
Length: L = W + 8

Perimeter = 2W + 2L = 2(W) + 2(W+8) = 184 (ft)

Solving for W: 2W + 2W + 16 = 184 (ft)
4W = 168 ft, and so W = 42 ft.

The length, L, is (42 + 8) ft = 50 ft. (answer)

5 0

3 years ago

Lim <br> x → 1 <br> ln(x)/<br> sin(7πx)

mote1985 [20]

$\displaystyle\lim_{x\to1}\frac{\ln x}{\sin7\pi x}$

Note that both the numerator and denominator approach 0 as $x\to1$ , so we can try using L'Hopital's rule.

$\displaystyle\lim_{x\to1}\frac{\lnx }{\sin7\pi x}=\lim_{x\to1}\frac{\frac1x}{7\pi\cos7\pi x}=\lim_{x\to1}\frac1{7\pi x\cos7\pi x}$

The denominator is nonzero at $x=1$ , so the limit is equivalent to

$\displaystyle\frac1{\lim\limits_{x\to1}7\pi x\cos7\pi x}=\frac1{7\pi\cos7\pi}=-\frac1{7\pi}$

7 0

3 years ago