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2 years ago

15 Points Help Math question

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

3 0

11.11111111

you can round your answer

divide 27 by 9 you get 3

divide hundred by 9
you get your answer

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the product of five consecutive odd integers is 945 what is the greatest possible value of any of these integers

Troyanec [42]

If 945 is the product of 5 CONSECUTIVE ODD numbers, let's find the prime factors of 945:

945 = 5 x 7 x 27 , but we need 5 odd numbers:

945= 5 x 7 x ( 3 x 9 ) we still need one factor. This factor cannot be but 1

945 = 1 x 3 x 5 x 7 x 9 = 945 and the greatest value of these integers is 9

4 0

2 years ago

Prove that sin3a-cos3a/sina+cosa=2sin2a-1

Sloan [31]

Answer:

$\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1$

Step-by-step explanation:

we are given

$\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1$

we can simplify left side and make it equal to right side

we can use trig identity

$sin(3a)=3sin(a)-4sin^3(a)$

$cos(3a)=4cos^3(a)-3cos(a)$

now, we can plug values

$\frac{(3sin(a)-4sin^3(a))-(4cos^3(a)-3cos(a))}{sin(a)+cos(a)}$

now, we can simplify

$\frac{3sin(a)-4sin^3(a)-4cos^3(a)+3cos(a)}{sin(a)+cos(a)}$

$\frac{3sin(a)+3cos(a)-4sin^3(a)-4cos^3(a)}{sin(a)+cos(a)}$

$\frac{3(sin(a)+cos(a))-4(sin^3(a)+cos^3(a))}{sin(a)+cos(a)}$

now, we can factor it

$\frac{3(sin(a)+cos(a))-4(sin(a)+cos(a))(sin^2(a)+cos^2(a)-sin(a)cos(a)}{sin(a)+cos(a)}$

$\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}$

we can use trig identity

$sin^2(a)+cos^2(a)=1$

$\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}$

we can cancel terms

$=3-4(1-sin(a)cos(a))$

now, we can simplify it further

$=3-4+4sin(a)cos(a))$

$=-1+4sin(a)cos(a))$

$=4sin(a)cos(a)-1$

$=2\times 2sin(a)cos(a)-1$

now, we can use trig identity

$2sin(a)cos(a)=sin(2a)$

we can replace it

$=2sin(2a)-1$

so,

$\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1$

7 0

2 years ago

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Write the value of the 6 in 106,534

Anastasy [175]

1 = Hundred tens of thousandths.

0 = tens of thousandths.

6 = thousandths.

5 = hundredths.

3 = tenths.

4 = units.

8 0

2 years ago

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What decimal is equal to 3/10

Aleks [24]

Answer:

0.3

Step-by-step explanation:

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3 years ago

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Graphing Linear Inequality<br><br> y≤ 3/5x-5

Damm [24]

$y\leq\frac{3}{5}x-5\\\\for\ x=0\to y=\frac{3}{5}(0)-5=0-5=-5\to A(0;-5)\\\\for\ x=5\to y=\frac{3}{5}(5)-5=3-5=-2\to B(5;-2)\\\\look\ at\ the\ picture$

3 0

3 years ago

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