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nataly862011 [7]
3 years ago
12

Factor 56-16 using the gcf

Mathematics
1 answer:
telo118 [61]3 years ago
3 0

<h3>I hope it is helpful for you ...</h3>

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Find the exact value of each of the following. In each case, show your work and explain the steps you take to find the value.
mote1985 [20]

Answer: a) \frac{1}{2}

b) 1

c) 2

Step-by-step explanation:

(a) sin 17π/6  

It is known that the value of sin x repeat after an interval of 2\pi\ or\ 360^{\circ}

∴ \sin\frac{17\pi}{6}=\sin2\frac{5\pi}{6}=\sin(2\pi+\frac{5}{6}\pi)=\sin{\frac{5}{6}\pi}=\sin(\pi-\frac{\pi}{6})=\sin(\frac{\pi}{6})=\frac{1}{2}

[Since the value of sin x is positive in 2nd quadrant]

(b) tan 13π/4  

It is known that the value of sin x repeat after an interval of \pi\ or\ 180^{\circ}

∴ \tan\frac{13\pi}{4}=\tan(3\pi+\frac{\pi}{4})=\tan{\frac{\pi}{4}}=1

(c) sec 11π/3

\text{Since, }\sec(x)=\frac{1}{\cos x}

\cos(\frac{11\pi}{3})=cos(\frac{5\pi}{3}+2\pi)=\cos(\frac{5\pi}{3})=\cos(6\pi-\frac{\pi}{3})=\cos(\frac{\pi}{3})=\frac{1}{2}\\\Rightarrow\sec(\frac{11\pi}{3})=\frac{1}{\cos(\frac{11\pi}{3})}=2

4 0
3 years ago
Which of the following statements is false?
lisov135 [29]

 (1): "c0"   was replaced by   "c^0". 

(2): Dot was discarded near "1.j". 1 more similar replacement(s)

Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression

3 0
3 years ago
Sam’s Swimming Pool Cleaning has an annual gross profit of $88,400. Sam charges $25 per week for each of his customers for 52 we
m_a_m_a [10]
To get how many customers Sam has, write an equation that will relate to the gross profit. Let n be the customers. Since for 52 weeks, Sam charges $25 per week per person, multiply n by the number of weeks and the charge. The equation is written as $88,400 = 52 weeks x $25 per week x n persons. Divide $88,400 by the product of 52 weeks and the $25 charge. The answer will be 68. The annual operating expense $48,000 is just there to make confusion. 
3 0
3 years ago
Read 2 more answers
The equation y−5=-2(x−3)y-5=-2(x-3) is in point-slope form. What is this equation in slope-intercept form?
adelina 88 [10]
The answer is y=-2x+11

5 0
3 years ago
A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 2x. Find the height of t
weqwewe [10]
V(cylinder)=πR²H
Radius of the cylinder R=x, height of the cylinder H=y.
We can write for the cylinder
V(cylinder)=πx²y

V(cone) =(1/3)πr²h
Radius of the cone r=2x.
We can write for the cone
V(cone)= (1/3)π(2x)²h=(1/3)π *4*x²h

V(cylinder) =V(cone)
πx²y=(1/3)π *4*x²h
y=(4/3)*h
h=(3/4)*y


7 0
3 years ago
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