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swat32
3 years ago
9

32.2 divided by 7.56 use compatible numbers to estimate the quotient

Mathematics
1 answer:
dem82 [27]3 years ago
7 0

Answer:

4and 7over 27 is the answe

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Over the interval [0,2pi), what are the solutions to cos(2x) = cos(x)? check all that apply​
kykrilka [37]

\cos(2x)  =  \cos(x)

Solution (1)

2x = x + 2k\pi

2x - x = 2k\pi

x = 2k\pi

for k=0 / for k=1 / for k=-1

x=0 / x=2π / x=-2π

acc / acc / rej

solution (2)

2x =  - x  + 2k\pi

2x + x = 2k\pi

3x = 2k\pi

x =  \frac{2k\pi}{3}

for k=0 / for k=1 / for k=-1

x=0 / x=2π/3 / x=-2π/3

acc / acc / rej

Note that i'm trying values of K which make the answer belong to our interval;

So our solution which i will represent as a set is;

S € {0,2π/3,2π}

6 0
2 years ago
How do you solve f(x)= 4x(2)-4x-3?
slavikrds [6]
If by 4x(2) you mean 4x to the power 2 or 4x^2...it can be solved in the following way
f(x)=4x^2-4x-3
=4x^2+2x-6x-3
=2x(2x+2)-3(2x+2)
=(2x-3)(2x+2)
Therefore x=3/2 or x=-2/2=(-1)
8 0
3 years ago
Write 5 pounds for $2.49 as a unit rate. round to the nearest hundreth
DaniilM [7]

5 pounds = $2.49

1 pound = $2.49 ÷ 5 = $0.50 (nearest hundredth)

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Answer: $0.50/pound

5 0
3 years ago
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What is the slope of a line that is parallel to the line y = x + 2?
BigorU [14]
A slope of any line parallel to y = x + 2 will be 1. 

The slope of parallel lines are always equal. Since we do not see a number next to the x in the original equation, there is an assumed 1 there. Therefore any line that is parallel with it would also have to be 1. 
8 0
3 years ago
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Can someone please help me with 10-16 it’s due tomorrow!!! Please
VMariaS [17]
10) V=πr² *h= π*10²*12≈3770
11) V=A(base)*h= (3√3/2)*(9²)*10=2104
A(base)=(P*a)/2=(6*9*3√3)/2=9*9*3√3/2

12)V=πr² *h=π*18² *6≈6107
13)V=4*3*12=144
14) h(triangle)=√(5²-3²)=√16=4
A(base)=(3*4)/2=6
V=A(base)* height (prism)=6*2=12
15)  V=A(base)*h= (3√3/2)*(6²)*11= 1029
16)V=A(base)*h=2(1+√2)5²*22≈2656
7 0
3 years ago
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