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3 years ago

Can someone help me please?

Mathematics

2 answers:

shusha [124]3 years ago

8 0

So, if the page is 12 inches wide, that's the width of the page, 12, minus the width of the photo, 7 1/2. 12 - 7 1/2 = 4 1/2.
Now, we need to divide 4 1/2 by 2, so it will be even on both sides.
4 1/2 divided by 2 = 2 1/4.
He should put the picture 2 1/4 inches from each side of the page.

Novay_Z [31]3 years ago

6 0

It should 2 and 1/4, did my math, if you want me to explain then i'll be more than happy to.

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3 years ago

Read 2 more answers

mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for

frez [133]

mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest .

<u>Step-by-step explanation:</u>

Here we have , mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for the same length of time, We need to find how long must he leave it to gain 5600 in interest . Let's find out:

Let mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8% for time x months , So total interest gain is 5600 i.e.

⇒ $\frac{8000(12)}{100}(x) +\frac{2000(8)}{100}(x) =5600$

⇒ $\frac{8000(12)+2000(8)}{100}(x) =5600$

⇒ $(80(12)+20(8))(x) =5600$

⇒ $(960+160)(x) =5600$

⇒ $(1020)(x) =5600$

⇒ $x =\frac{5600}{1020}$

⇒ $x =5.5$

Therefore , mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest .

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3 years ago

How would you solve cos(5x)=sin(10x) ?

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We will use double angle identities:
cos (5x ) = sin (10x )
cos (5x ) = 2 cos (5x ) sin ( 5x )
cos ( 5 x) - 2 cos ( 5 x ) sin ( 5x ) = 0
cos ( 5 x ) · [ 1 - 2 sin (5 x) ] = 0
cos ( 5 x ) = 0 or :   1 - 2 sin (5 x) = 0
5 x = π/2 +kπ, k∈Z sin (5 x) = 1/2
x1 = π/10 + kπ/5    5 x = π/6+2kπ , k∈ Z
5 x = 5π/6 +2kπ , k∈ Z
x 2 = π/30 +2kπ/5
x 3 = π/9 + 2kπ/5

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